Merging man & maths https://www.mathcity.org/ Thu, 04 Jun 2026 03:41:55 +0000 FeedCreator 1.8 https://www.mathcity.org/_media/logo.svg https://www.mathcity.org/ https://www.mathcity.org/home Home Welcome to MathCity.org. Please browse the website by using navigation bar or search the website. More Quotes :---: MathCity.org Updates * | FSc (PECTAA) | Solutions of the many exercises of Mathematics 11 (by PECTAA) has been add. read more for download NEW * | Notes | Mechanics III (Analytic Dynamics II) by Dr Babar Ahmad has been added in the notes section. anonymous@undisclosed.example.com (Anonymous) Tue, 24 Mar 2026 18:10:06 +0000 https://www.mathcity.org/bsc ADS/BSc One this page we have listed notes/resources widely used in BSc or in Associated Degree of Science (ADS). This includes notes of some famous books and other resources. Notes of Famous Books Notes of Calculus with Analytic Geometry Notes of Calculus with Analytic Geometry Notes of Mathematical Method Notes of Mathematical Method Introduction to Mechanics Introduction to Mechanics Other notes Notes of Mechanics Notes of Mechanics written by different authors for BSc or BS… anonymous@undisclosed.example.com (Anonymous) Sat, 13 Jan 2024 11:00:49 +0000 https://www.mathcity.org/privacy_cookies_policy Privacy & Cookies Policy The privacy of our visitors to mathcity.org is important to us. At mathcity.org, we recognize that privacy of your personal information is important. Here is information on what types of personal information we receive and collect when you use and visit mathcity.org, and how we safeguard your information. We never sell your personal information to third parties. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:39:41 +0000 https://www.mathcity.org/quote-of-the-day Quote of the Day [Quote of the Day] The “quote of the day” is a useful tool for inspiration, motivation, and self-examination It offers a daily serving of knowledge from reputable and accomplished people in a range of sectors, including literature, politics, science, and entertainment. Everyday reading and reflection on a thought-provoking quote can help people learn more, see things from other people's perspectives, and advance their personal development. Sharing the anonymous@undisclosed.example.com (Anonymous) Thu, 25 Jul 2024 06:21:51 +0000 https://www.mathcity.org/atiq/fa25-csc456 CSC456: Stochastic Processes (Fall 2025) [Stochastic Processes (Fall 2025), Image Courtesy: Gemini] Course Objectives: * To define basic concepts from the theory of Markov chains and present proofs for the most important theorems. * To compute probabilities of transition between states and return to the initial state after long time intervals in Markov chains. anonymous@undisclosed.example.com (Anonymous) Sun, 28 Dec 2025 14:20:45 +0000 https://www.mathcity.org/atiq/sp26-csc456 CSC456: Stochastic Processes (Spring 2026) [Stochastic Processes (Spring 2026), Image Courtesy: Gemini] Course Learning Outcomes: * To define basic concepts from the theory of Markov chains and present proofs for the most important theorems. * To compute probabilities of transition between states and return to the initial state after long time intervals in Markov chains. anonymous@undisclosed.example.com (Anonymous) Wed, 03 Jun 2026 08:38:47 +0000 https://www.mathcity.org/fsc-part2-ptb/subjective-mathematics-m-shahbaz Subjective Mathematics 12th by Muhammad Shahbaz [Subjective Mathematics 12th by Muhammad Shahbaz] These handwritten notes are sent by Muhammad Shahbaz. We are very thankful to him for sending these notes. These notes are based on the book “Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc/ICS Part 2 or HSSC-II), Punjab Textbook Board (PTB) Lahore, Pakistan.'' There are total seven (7) units in this book. anonymous@undisclosed.example.com (Anonymous) Tue, 23 Sep 2025 19:59:04 +0000 https://www.mathcity.org/open-notes/metric-space Open Notes on Metric Spaces [Open Notes on Metric Spaces] This is an initial release of the notes. The beautiful thing for these notes is that you can edit these notes. Image of the page is created by using Copilot in Windows 11. Authors * Dr. Atiq ur Rehman (COMSATS University Islamabad, Pakistan) anonymous@undisclosed.example.com (Anonymous) Sat, 28 Jun 2025 14:57:28 +0000 https://www.mathcity.org/open-notes/real-analysis-i Open Notes on Real Analysis I [Open Notes on Real Analysis I] This is an initial release of the notes. The beautiful thing for these notes is that you can edit these notes. If you feel that your version of notes is better than given here, we can share your version here. Please send an email to first author Dr. Atiq ur Rehman at anonymous@undisclosed.example.com (Anonymous) Tue, 26 Aug 2025 18:16:07 +0000 https://www.mathcity.org/wiki/syntax Formatting Syntax DokuWiki supports some simple markup language, which tries to make the datafiles to be as readable as possible. This page contains all possible syntax you may use when editing the pages. Simply have a look at the source of this page by pressing anonymous@undisclosed.example.com (Anonymous) Sat, 10 Feb 2024 11:07:05 +0000 https://www.mathcity.org/math-9th-pctb Mathematics 9th for Matric (PCTB) [Mathematics 9th for Matric (PCTB)] Mathematics 9 is published by Punjab Curriculum and Textbook Board (PCTB), Lahore, Pakistan. This is a textbook for all the boards of Punjab for matriculation. The book has total of thirteen (13) chapters. The book is written by Muhammad Akhtar Shirani (Senior Subject Specialist, Mathematics), Madiha Mehmood, (Subject Specialist, Statistics) and Ghulam Murtaza (Subject Specialist, Mathematics). anonymous@undisclosed.example.com (Anonymous) Mon, 04 May 2026 16:19:23 +0000 https://www.mathcity.org/mathematician_of_the_day Mathematician of the day The complete list of the mathematician who were born or died today is given at the following URL * <https://mathshistory.st-andrews.ac.uk/OfTheDay/today/> It is worth mentioning that “The MacTutor History of Mathematics archive” is a database of famous mathematician and mathematics archive created by by John J O'Connor and Edmund F Robertson is available at the following anonymous@undisclosed.example.com (Anonymous) Mon, 11 Mar 2024 05:54:30 +0000 https://www.mathcity.org/ppsc ~~DISCUSSION~~ PPSC General Information, Syllabus, Paper Pattern [PPSC] Our aim is to give general information, syllabus and paper pattern of paper couducted by Punjab Public Service Commission (PPSC) for the post of Lecturer in Mathematics. This page might be helpful for other jobs as subject specialist or for public service commission of other provinces. anonymous@undisclosed.example.com (Anonymous) Sun, 24 May 2026 17:45:57 +0000 https://www.mathcity.org/report_abuse Report Abuse All the resources published/posted on MathCity.org are sent by different people to help the other people for the promotion of mathematics. These are open educational resources (OER). OER are teaching, learning, and research resources that reside in the public domain or have been released under an intellectual property license that permits their free use or re-purposing by others. Open educational resources include full courses, course materials, modules, textbooks, streaming vide… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:39:42 +0000 https://www.mathcity.org/viewer DOC Viewer anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:39:49 +0000 https://www.mathcity.org/atiq/chem-501 CHEM-501: Basic Mathematics for Chemist Course contents Introdtuction; Review of basic algebra, Graphs and their significance in chemistry. Trigonometric, logarithmic and exponential functions. Differentiation, partial differentiation, differential equations and their use in chemical problems. Concept of maxima and minima. integration, Determinants and Matrices, their properties and use in chemical problems. solutions of linear equations (simple, determinant and matrices methods), operator the… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:04 +0000 https://www.mathcity.org/atiq/fa19-mth321 MTH321: Real Analysis I (Fall 2019) [Photo-illustration of Zeno's Paradox by Juliana Jiménez Jaramillo. Photo by Twildlife/Thinkstock] At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Def… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:11 +0000 https://www.mathcity.org/atiq/fa19-mth322 MTH322: Real Analysis II (Fall 2019) This course is offered to MSc, Semester II at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers. these notions included in anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:12 +0000 https://www.mathcity.org/atiq/fa20-mth211 MTH211: Discrete Mathematics (Fall 2020) Course Objectives: Discrete Mathematics is branch of Mathematics which deals with discrete structures like logic. sequences, graphs, relations in contrast to Calculus. where we enjoy the continuity of functions and the set of real numbers. This course is introduction to discrete structures which are not the part of main stream courses. Discrete Mathematics has applications in Computer Science. Economics and Decision Making etc. This course will help t… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:14 +0000 https://www.mathcity.org/atiq/fa20-mth322 MTH322: Real Analysis II (Fall 2020) This course is offered to MSc, Semester II at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:14 +0000 https://www.mathcity.org/atiq/fa20-mth424 MTH424: Convex Analysis (Fall 2020) [Convex Analysis] Objectives: At the end of this course the students will be able to understand the concept of Convex Analysis, convex sets, convex functions, Differential of the convex function. Developing ability to study the Hadamard-Hermite inequalities and their applications. Prepare students to be self independent and enhance their mathematical ability by giving them home work and projects.$f(x)=x$$\mathbb{R}$$f(x)=x^2$$\mathbb{R}$$f:[a,b]\to \mathbb{… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:16 +0000 https://www.mathcity.org/atiq/fa21-mth321 MTH321: Real Analysis I (Fall 2021) Discussion is available at the end of this page. One is free to ask any question or comment. [Photo-illustration of Zeno's Paradox] At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphas… anonymous@undisclosed.example.com (Anonymous) Fri, 28 Oct 2022 11:10:02 +0000 https://www.mathcity.org/atiq/fa21-mth322 MTH322: Real Analysis II (Fall 2021) This course is offered to MSc, Semester II at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in $\int_{1}^{\infty }{{{x}^{-p}} dx}$$p$$f\in \mathcal{R}[a,b]$$b\ge a$$f(x)\ge 0$$x\ge a$$\int_{a}^{\infty }{f(x) dx}$$M>0$$\int\limits_{a}^{b}{f(x)\,dx} \le M$$b\ge a$$f\in \mathcal{R}[a,b]$$b\ge a$… anonymous@undisclosed.example.com (Anonymous) Thu, 30 Dec 2021 19:16:17 +0000 https://www.mathcity.org/atiq/fa22-mth321 MTH321: Real Analysis I (Fall 2022) ~~DISCUSSION~~ [Photo-illustration of Zeno's Paradox] At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform conti… anonymous@undisclosed.example.com (Anonymous) Mon, 15 May 2023 07:16:43 +0000 https://www.mathcity.org/atiq/fa23-mth103 MTH103: Exploring Quantitative Skills Course Objectives This course aims to develop the basic mathematical skills which ultimately enhance problem-solving skills using inductive and deductive reasoning, Polya's strategy, and sets. The basic concepts will be develop with applications form the real world such as algebraic models with equations, rates, ratios, and percentages will be discussed. Students will also explore linear models, including rectangular coordinates, functions, empowering them… anonymous@undisclosed.example.com (Anonymous) Wed, 27 Sep 2023 13:47:12 +0000 https://www.mathcity.org/atiq/fa23-mth480 MTH480: Introductory Quantum Mechanics Objective The physical principles and mathematical formalism of quantum theory, with emphasis on applications to atomic, molecular, and many-body physics; scattering phenomena; and electromagnetism (photon physics). $x(t)={{t}^{3}}+2\sin t$$t=\dfrac{\pi }{6}$$v(t)={{t}^{2}}+t{{e}^{t}}$ anonymous@undisclosed.example.com (Anonymous) Sat, 07 Oct 2023 18:27:32 +0000 https://www.mathcity.org/atiq/fa24-mth104 MTH104: Calculus & Analytical Geometry [MTH104: Calculus & Analytical Geometry] Course Objectives The main objective of Calculus and Analytical Geometry for students is to continue learning the basics of the calculus of functions of one variable. They will study functions, their types, limit and continuity of a function, derivatives, rate of change, chain rule, the concepts and techniques of integration, maxima and minima for the function of one variable, power series sequence and series, Tay… anonymous@undisclosed.example.com (Anonymous) Wed, 25 Dec 2024 17:21:25 +0000 https://www.mathcity.org/atiq/fa24-mth731 MTH731: Topology [MTH731 Topology] Contents Introduction to Topological Structures and basic concepts (Revision) Topological Groups, Connected Spaces, Path Connected Spaces, Compact Spaces, Locally Connectedness and Locally Compactness, Homeomorphism and Topological Properties, n-spheres and Projective Spaces, The Separation axioms, Normal Spaces, The Urysohn Lemma, Numerability axioms, Covering spaces, The Tychnoff Theorem, Paracompact spaces, Manifolds (Brief Introduction), Imbedding of Man… anonymous@undisclosed.example.com (Anonymous) Wed, 25 Dec 2024 18:38:41 +0000 https://www.mathcity.org/atiq/fa25-mth324 MTH324: Complex Analysis (Fall 2025) [MTH324: Complex Analysis (Fall 2025) Courtesy: Copilot] Course Objectives: At the end of this course the students will be able to understand the basic properties of functions of a complex variable with the theory of analytic functions and its applications. Course contents: anonymous@undisclosed.example.com (Anonymous) Sun, 28 Sep 2025 07:23:19 +0000 https://www.mathcity.org/atiq/math-300 MATH-300: Basic Mathematics for Chemist Without mathematics the sciences cannot be understood, nor made clear, nor taught, nor learned. (Roger Bacon, 1214–1292) Course contents Introdtuction; Review of basic algebra, Graphs and their significance in chemistry. Trigonometric, logarithmic and exponential functions. Differentiation, partial differentiation, differential equations and their use in chemical problems. Concept of maxima and minima. integration, Determinants and Matrices, their prope… anonymous@undisclosed.example.com (Anonymous) Wed, 31 May 2023 05:38:37 +0000 https://www.mathcity.org/atiq/s625-mth251 MTH251: Set Topology (Spring 25) [MTH251 Set Topology] Set topology is a branch of mathematics that studies the properties of shapes and spaces that remain unchanged even if they are stretched, twisted, or deformed (without tearing or gluing). It helps us understand concepts like continuity, connectedness, and boundaries.$\mathbb{R}$$T_1$$\mathbb{Z}$$A=\{1,2,3,...,20\}$$\mathbb{R}$$\mathbb{Q}$$\mathbb{R}$$A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$$A$$\mathbb{R}$$A=\mathbb{N}$$B=\{1,2,3,.… anonymous@undisclosed.example.com (Anonymous) Sun, 01 Feb 2026 14:28:11 +0000 https://www.mathcity.org/atiq/sp19-mth322 MTH322: Real Analysis II (Spring 2019) This course is offered to MSc, Semester II at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:39 +0000 https://www.mathcity.org/atiq/sp19-mth633 MTH633: Advanced Convex Analysis (Spring 2019) Convex sets, convex hull, their properties, separation theorems, hyperplane, Best approximation theorem and its applications, Farkas and Gordan Theorems, Extreme points and Polyhedral. Convex functions, Basic Definitions, properties, various generalizations, differentiable convex functions, subgradient, characterization and applications in linear and nonlinear optimization, complementarity problems and its equivalent formulations.$\mathbb{R}$$\math… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:40 +0000 https://www.mathcity.org/atiq/sp20-mth211 MTH211: Discrete Mathematics (Spring 2020) Course Objectives: Discrete Mathematics is branch of Mathematics which deals with discrete structures like logic. sequences, graphs, relations in contrast to Calculus. where we enjoy the continuity of functions and the set of real numbers. This course is introduction to discrete structures which are not the part of main stream courses. Discrete Mathematics has applications in Computer Science. Economics and Decision Making etc. This course will help… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:40 +0000 https://www.mathcity.org/atiq/sp20-mth321 MTH321: Real Analysis I (Spring 2020) Discussion is available at the end of this page. One is free to ask any question or comment. ~~DISCUSSION~~ [Photo-illustration of Zeno's Paradox] At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and fun… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:40:41 +0000 https://www.mathcity.org/atiq/sp21-mth211 MTH211: Discrete Mathematics (Fall 2020) Course Objectives: Discrete Mathematics is branch of Mathematics which deals with discrete structures like logic. sequences, graphs, relations in contrast to Calculus. where we enjoy the continuity of functions and the set of real numbers. This course is introduction to discrete structures which are not the part of main stream courses. Discrete Mathematics has applications in Computer Science. Economics and Decision Making etc. This course will help t… anonymous@undisclosed.example.com (Anonymous) Thu, 10 Jun 2021 09:02:12 +0000 https://www.mathcity.org/atiq/sp22-mth211 MTH211: Discrete Mathematics (Spring 2022) Course Objectives: Discrete Mathematics is branch of Mathematics which deals with discrete structures like logic. sequences, graphs, relations in contrast to Calculus. where we enjoy the continuity of functions and the set of real numbers. This course is introduction to discrete structures which are not the part of main stream courses. Discrete Mathematics has applications in Computer Science. Economics and Decision Making etc. This course will help… anonymous@undisclosed.example.com (Anonymous) Mon, 12 Sep 2022 04:56:59 +0000 https://www.mathcity.org/atiq/sp22-mth322 MTH322: Real Analysis II (Spring 2022) This course is offered to BS, Semester VI at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notion included in anonymous@undisclosed.example.com (Anonymous) Wed, 13 Apr 2022 05:45:43 +0000 https://www.mathcity.org/atiq/sp23-mth321 MTH321: Real Analysis I (Spring 2023) ~~DISCUSSION~~ [Photo-illustration of Zeno's Paradox] At the end of this course the students will be able to understand the basic set theoretic statements and emphasize the proofs’ development of various statements by induction. Define the limit of, a function at a value, a sequence and the Cauchy criterion. Prove various theorems about limits of sequences and functions and emphasize the proofs’ development. Define continuity of a function and uniform con… anonymous@undisclosed.example.com (Anonymous) Wed, 14 Jun 2023 14:47:57 +0000 https://www.mathcity.org/atiq/sp23-mth322 MTH322: Real Analysis II (Spring 2023) [MTH322: Real Analysis II (Spring 2023)] This course is offered to BS, Semester VI at Department of Mathematics, COMSATS University Islamabad, Attock campus. This course need rigorous knowledge of continuity, differentiation, integration, sequences and series of numbers, that is many notions included in $f\in \mathcal{R}[a,b]$$b\ge a$$f(x)\ge 0$$x\ge a$$\int_{\,a}^{\,\infty }{f(x)\,dx}$$M>0$$\int\limits_{a}^{b}{f(x)\,dx}\leq M$$b\ge a$$f(x)$$g(x)$$x>a$$\li… anonymous@undisclosed.example.com (Anonymous) Thu, 15 Jun 2023 01:08:47 +0000 https://www.mathcity.org/atiq/sp24-mth424 MTH424: Convex Analysis (Spring 2024) [Convex Analysis] Objectives: At the end of this course the students will be able to understand the concept of Convex Analysis, convex sets, convex functions, Differential of the convex function. Developing ability to study the Hadamard-Hermite inequalities and their applications. Prepare students to be self independent and enhance their mathematical ability by giving them home work and projects. anonymous@undisclosed.example.com (Anonymous) Fri, 29 Mar 2024 03:48:00 +0000 https://www.mathcity.org/atiq/sp25-mth251 MTH251: Set Topology (Spring 25) [MTH251 Set Topology] Set topology is a branch of mathematics that studies the properties of shapes and spaces that remain unchanged even if they are stretched, twisted, or deformed (without tearing or gluing). It helps us understand concepts like continuity, connectedness, and boundaries.$\mathbb{R}$$T_1$$\mathbb{Z}$$A=\{1,2,3,...,20\}$$\mathbb{R}$$\mathbb{Q}$$\mathbb{R}$$A=\left\{1,\frac{1}{2},\frac{1}{3},... \right\}$$A$$\mathbb{R}$$A=\mathbb{N}$$B=\{1,2,3,.… anonymous@undisclosed.example.com (Anonymous) Tue, 29 Apr 2025 10:10:47 +0000 https://www.mathcity.org/atiq/sp25-mth424 MTH424: Convex Analysis (Spring 2025) [Convex Analysis] Convex analysis is a branch of mathematics that studies convex sets and convex functions. A set is convex if a straight line between any two points in the set always stays inside it. This field is important in optimization, economics, and engineering. It helps in solving real-world problems like minimizing costs, maximizing profits, and designing efficient systems. Convex analysis is widely used in machine learning, finance, and physics. 😊… anonymous@undisclosed.example.com (Anonymous) Mon, 16 Jun 2025 18:51:28 +0000 https://www.mathcity.org/conferences/5th-uicpam-2019-lahore 5th UMT International Conference on Pure and Applied Mathematics, Lahore (March 29th to 31st, 2019) [5th UICPAM-2019] UMT International Conference on Pure and Applied Mathematics (UICPAM) was successfully held for last four years. The support and participation of our membership and scholar promote it possible for UICPAM continuely to be held in University of Management and Technology, Lahore during March 29-31, 2019. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:41:44 +0000 https://www.mathcity.org/dyk/3 Its about square root [DYK] The reason is not difficult if one knows about the definition of square root of real numbers. Definition: Let $x$ be a non-negative number. Then a non-negative number $r$ is called square root of $x$ iff $r^2=x$. Square root of $x$ is denoted by $\sqrt{x}$$2^2=4$$3^2=9$$x$$r$$x$$r^2=x$$2^2=4$$(-2)^2=4$$\sqrt{4}=\sqrt{2^2}=\sqrt{(-2)^2}=2$$\sqrt{4}=\sqrt{2^2}=\sqrt{(-2)^2}=\pm 2$$\sqrt{4}$$\sqrt{x}$$x\geq0$$\sqrt{x}=x^{\frac{1}{2}}$ anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:42:27 +0000 https://www.mathcity.org/fsc-part1-ptb/definitions-aurang-zaib Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib Definitions from Textbook of Algebra and Trigonometry Class XI, published by Punjab Textbook Board (PTB) Lahore, Pakistan. We are very thankful to Aurang Zaib for his valuable contribution. Chapter 01: Number System \( \dfrac{p}{q} \)\( p, q \in \mathbb{Z} \)\( q \neq 0 \)\( \dfrac{3}{4} \)\( \dfrac{7}{2} \)\( \sqrt{2} \)\( \pi \)\( \mathbb{R} \)\( 0.25 \)\( 3.75 \)\( 0.3333... \)\( 1.234234... \)\( \pi \)\( 3.1415... \)\( \sqrt{2} \)\(… anonymous@undisclosed.example.com (Anonymous) Sat, 30 Mar 2024 16:48:20 +0000 https://www.mathcity.org/fsc/fsc_part_2_formulas_introduction_to_analytics_geometry Chap 04: Formulas Introduction to Analytics Geometry On these four pages, one can find all the formulas used in Chapter 04: Formulas Introduction to Analytics Geometry of FSc Part 2. There are five exercises in chapter 04 with lot of questions. These basic things help to solve the questions easily without going to the depth of each concept. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:42:43 +0000 https://www.mathcity.org/home/pdfviewer Google DOC Viewer anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:43:27 +0000 https://www.mathcity.org/math-9th-pctb/sol Solutions: Math 9th PCTB [Solutions of Mathematics 9th PCTB] Notes (Solutions) of Mathematics 9 (Mathematics for Matric), Punjab Curriculum and Textbook Board (PCTB) Lahore. Our aim here is to provides clear and step-by-step solutions for mathematical concepts, including real numbers, logarithms, algebra, trigonometry, and probability. we will try our best to complete the solutions as soon as possible for teachers and students. To download a book, please anonymous@undisclosed.example.com (Anonymous) Mon, 04 May 2026 16:21:21 +0000 https://www.mathcity.org/math-11-kpk/sol Solutions: Math 11 KPK [Solutions of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa] Solutions of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan. Federal Board of Intermediate and Secondary Education (FBISE), Islamabad has been introduced Students Learning Outcomes (SLOs) Based Examination. Its complete scheme of studies is available on the FBISE website anonymous@undisclosed.example.com (Anonymous) Thu, 01 Feb 2024 02:36:03 +0000 https://www.mathcity.org/math-11-pectaa/sol FSC/ICS Part 1 Math Solution (11th Class) – Punjab Board Solved Exercises [FSC ICS Part 1 Math Solution (11th Class) – Punjab Board Solved Exercises] FSC or ICS Part 1 Math Solution (11th Class), Punjab Board Solved Exercises. Mathematics 11 (FSc or ICS Part 1, HSSC-I) is published by Punjab Education, Curriculum, Training and Assessment Authority (PECTAA) Lahore - Pakistan formally know as Punjab Textbook Board (PTB) anonymous@undisclosed.example.com (Anonymous) Sun, 24 May 2026 10:06:29 +0000 https://www.mathcity.org/math-12-nbf/sol Solutions: Math 12 NBF [Solutions of Textbook of Mathematics 12] Solutions of “Textbook of Mathematics 12 published by National Book Foundation (NBF), Islamabad, Pakistan”. NBF can be considered as Federal Textbook Board Islamabad. This comprehensive guide, Solutions for Mathematics 12, serves as a definitive resource for students mastering the advanced HSSC curriculum. Published by the National Book Foundation (NBF), it bridges the gap between complex theory and practical application. The tex… anonymous@undisclosed.example.com (Anonymous) Mon, 04 May 2026 16:11:21 +0000 https://www.mathcity.org/notes/complex-analysis-quick-review Complex Analysis (Quick Review) [Complex Analysis: Quick Review] These notes are made and shared by Mr. Akhtar Abbas. We are really very thankful to him for providing these notes and appreciates his efforts to publish these notes on MathCity.org. Important definitions and important results are the part of these notes, these might be helpful to prepare interviews or any other written test after graduation like PPSC, FPSC or etc.$z_1, z_2 \in S$$S$$v(x,y)$$u(x,y)$$f(z)=u(x,y)+iv(x,y)$$f$$D$$C$$D$… anonymous@undisclosed.example.com (Anonymous) Wed, 26 Jun 2024 18:33:42 +0000 https://www.mathcity.org/notes/fluid-mechanics-i-muzammil-tanveer Fluid Mechanics I by Dr Rao Muzamal Hussain [Fluid Mechanics I by Muzammil Tanveer] These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. These notes are based on lectures delivered by Mr. Muzammil Hussain at GC University Faisalabad. anonymous@undisclosed.example.com (Anonymous) Mon, 24 Jul 2023 12:45:33 +0000 https://www.mathcity.org/notes/fluid-mechanics-ii-muzammil-tanveer Fluid Mechanics II by Dr Rao Muzamal Hussain [Fluid Mechanics I by Muzammil Tanveer] These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. These notes are based on lectures delivered by Mr. Muzammil Hussain at GC University Faisalabad. anonymous@undisclosed.example.com (Anonymous) Tue, 29 Aug 2023 06:36:09 +0000 https://www.mathcity.org/notes/fundamental-of-complex-analysis-prof-m-saleem Fundamental of Complex Analysis (Solutions of Some Exercises) [Fundamental of Complex Analysis, Solutions of Some Exercises] Complex analysis is the study of functions that exist in the complex plane, that is, functions with complex arguments and complex outputs. With roots in the 18th century and the years just before, it is one of the classical branches of mathematics. In the 20th century, significant figures in mathematics who are connected to complex numbers include Euler, Gauss, Riemann, … anonymous@undisclosed.example.com (Anonymous) Sat, 15 Apr 2023 18:26:12 +0000 https://www.mathcity.org/notes/group-theory-important-definitions-and-results Group Theory: Important Definitions and Results [Group Theory: Important Definitions and Results] These notes are made and shared by Mr. Akhtar Abbas. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. These notes contains important definitions with examples and related theorem, which might be helpful to prepare interviews or any other written test after graduation like PPSC, FPSC or etc.$G$$a\in G$$\exists$$e\in G$$a\… anonymous@undisclosed.example.com (Anonymous) Wed, 10 Aug 2022 15:31:46 +0000 https://www.mathcity.org/notes/groups-theory-m-iftikhar Group Theory by Mr. Muhammad Iftikhar [Group Theory by Mr. Muhammad Iftikhar] These notes are send by Mr. Muhammad Iftikhar. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. Name Lecture Notes on Group Theory Author Mr. Muhammad Iftikhar anonymous@undisclosed.example.com (Anonymous) Tue, 09 Aug 2022 18:28:27 +0000 https://www.mathcity.org/notes/linear-algebra-important-definitions-and-results Linear Algebra: Important Definitions and Results [Linear Algebra: Important Definitions and Results] These notes are made and shared by Mr. Akhtar Abbas. We are really very thankful to him for providing these notes and appreciates his efforts to publish these notes on MathCity.org. These notes contains important definitions with examples and related theorem, which might be helpful to prepare interviews or any other written test after graduation like PPSC, FPSC or etc.$V$$n$$n$$V$$W$$V$$A$$A$$A… anonymous@undisclosed.example.com (Anonymous) Wed, 10 Aug 2022 16:49:49 +0000 https://www.mathcity.org/notes/mathematical-method-muzammil-tanveer Mathematical Method by Sir Muhammad Awais Aun [Mathematical Method by Muzammil Tanveer] Mathematical methods are the approaches employed by mathematicians to address issues in mathematics and science. Algebra, functions, relations and associated graphs, calculus, and statistics are examples of mathematical techniques. Through their usage in resolving practical issues, they are applied to modelling. anonymous@undisclosed.example.com (Anonymous) Mon, 17 Apr 2023 09:02:35 +0000 https://www.mathcity.org/notes/mathematical-statistics-ii-muzammil-tanveer Mathematical Statistics II by Sir Haidar Ali [Mathematical Statistics II] A subfield of mathematics called mathematical statistics is concerned with using mathematical techniques to solve statistical problems. It involves using mathematical analysis and probability theory to the study of statistical issues like estimate, hypothesis testing, and confidence intervals. Financial, engineering, and scientific fields all benefit from the use of mathematical statistics, which is a significant area of… anonymous@undisclosed.example.com (Anonymous) Thu, 20 Apr 2023 12:16:43 +0000 https://www.mathcity.org/notes/measure-theory-notes-asim-marwat Measure Theory Handwritten Notes by Asim Marwat [Measure Theory Notes by Asim Marwat] These notes are made and shared by Mr. Asim Marwat. He has our sincere gratitude for supplying these notes, and we value his effort in having them published on MathCity.org. Measure Theory is an important subject in BS Mathematics. These notes contain topic from base level, like equivalence set, to advance level, like convergent in measure.$L_p$$L_p$$L^\infty$$L_p$ anonymous@undisclosed.example.com (Anonymous) Fri, 10 Feb 2023 17:43:56 +0000 https://www.mathcity.org/notes/mechanics-by-sir-nouman-siddique Mechanics by Sir Nouman Siddique These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org * Name: Mechanics * Provider: Mr. Muzammil Tanveer anonymous@undisclosed.example.com (Anonymous) Wed, 26 Jun 2024 18:35:58 +0000 https://www.mathcity.org/notes/number-theory-umer-shuaib Number Theory by Dr Muhammad Umer Shuaib [Number Theory Notes] A subfield of mathematics called number theory studies the characteristics of positive integers. Higher arithmetic is another name for it. The study of the relationships between various types of numbers, including prime numbers, rational numbers, and algebraic integers, is done using number theory, one of the oldest fields of mathematics.$\phi$ anonymous@undisclosed.example.com (Anonymous) Sat, 05 Aug 2023 18:11:04 +0000 https://www.mathcity.org/notes/numerical-analysis-by-m-usman-hamid Numerical Analysis by M Usman Hamid These notes are initially provided by Mr. Anwar Khan. Later the updated version is send by Muhammad Tahir. We are really very thankful to Mr. Anwar Khan and Muhammad Tahir for providing these notes and appreciates their effort to publish these notes on MathCity.org anonymous@undisclosed.example.com (Anonymous) Sat, 05 Aug 2023 17:01:51 +0000 https://www.mathcity.org/notes/operation-research-handwritten-notes Operation Research: Handwritten Notes [Operation Research: Handwritten Notes] Operation research (OR) is a scientific field that enhances organisational decision-making and problem-solving via the application of mathematical and analytical techniques. The management and administration of many processes, including military, governmental, economic, and industrial ones, include the use of scientific principles. OR is carried out by a group of professionals from various linked fields, depending on … anonymous@undisclosed.example.com (Anonymous) Sat, 05 Aug 2023 16:53:29 +0000 https://www.mathcity.org/notes/partial-differential-equations-m-usman-hamid Partial Differential Equations (PDE) by M Usman Hamid The course provides a foundation to solve PDE’s with special emphasis on wave, heat and Laplace equations, formulation and some theory of these equations are also intended. We are really very thankful to Prof. Muhammad Usman Hamid for providing these notes and appreciates his effort to publish these notes on MathCity.org anonymous@undisclosed.example.com (Anonymous) Sun, 09 Mar 2025 09:27:42 +0000 https://www.mathcity.org/notes/partial-differential-equations-muzammil-tanveer Partial Differential Equations (PDE) by Muzammil Tanveer [Partial Differential Equations] These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org Name: Partial Differential Equations or PDEs anonymous@undisclosed.example.com (Anonymous) Sun, 09 Mar 2025 09:29:35 +0000 https://www.mathcity.org/notes/theory-of-optimization-muzammil-tanveer Theory of Optimization by Ma'am Iqra Razzaq [Special Theory of Optimization by Ma'am Iqra Razzaq] These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. These notes are based on the lectures by Ma'am Iqra Razzaq. anonymous@undisclosed.example.com (Anonymous) Sun, 23 Jul 2023 16:28:59 +0000 https://www.mathcity.org/notes/topology-handwritten-notes Topology: Handwritten Notes [House of Tau] A topological space is a collection of points with a topology-a structure that describes how close two points are to one another. It is a generalisation of Euclidean spaces that makes it possible to investigate boundaries, continuity, and connectivity. A topology is a group of open sets, or subsets, that adhere to certain principles.$T_0$$T_1$$T_2$$\varepsilon-$ anonymous@undisclosed.example.com (Anonymous) Sat, 01 Mar 2025 09:43:45 +0000 https://www.mathcity.org/people/asim-marwat Asim Marwat We are very thankful to Mr. Asim Marwat for providing notes of functional analysis. His notes are attached below, which might be helpful in BS Mathematics. Mr. Asim has done MS (Mathematics) from University of Peshawar. He is an excellent student and mathematician whose mentors include Dr. Muhammad Adil, an important researcher in the field of analysis. anonymous@undisclosed.example.com (Anonymous) Fri, 10 Feb 2023 17:56:00 +0000 https://www.mathcity.org/ppsc/ppsc-mock-interview-mathematics PPSC Mock Interview Lecturer Mathematics [PPSC Mock Interview Lecturer Mathematics] This handout is shared by Mr. Rashad Wattu and written by Sawaira Sikandar. We are really very thankful to him for providing this handout and appreciates his efforts to publish it on MathCity.org. This handout contains the questions collected from the different interviews of the Lecturer in Mathematics conducted by Public Service Commission (PSC). This is help full to prepare interview of all types of jobs whic… anonymous@undisclosed.example.com (Anonymous) Thu, 25 Mar 2021 16:31:54 +0000 https://www.mathcity.org/bsc/formula-pages/view Formula Pages: Viewer anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:24 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch03_matrices Chapter 03: Matrices Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. The difficulty level of this chapter is very low. Most of the questions involve calculations. This chapter is wide range of applications in Linear Algebra. In many universities teachers include this chapter in the syllabus of Linear Algebra for BS students of mathematics and other subjects. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:44 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch04_system_of_linear_equations Chapter 04: System of Linear Equations Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. The difficulty level of this chapter is low. Most of the questions involve calculations. This chapter is wide range of applications in Linear Algebra and Operations Research. In many universities teachers include this chapter in the syllabus of Linear Algebra and Operations Research for BS students of mathematics and other … anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:45 +0000 https://www.mathcity.org/bsc/notes_of_mechanics/tariq_mahmood_qadri Notes of Mechanics by Tariq Mahmood Qadri [Notes of Mechanics by Tariq Mahmood Qadri] We are very thankful to Tariq Mahmood Qadri for providing these notes. These notes are helpful at BSc or BS level of Mathematics. Vector and Mechanics is essential part of the B Course of Mathematics in BSc or in Associate Degree of Science (ADS). anonymous@undisclosed.example.com (Anonymous) Thu, 25 Feb 2021 13:08:49 +0000 https://www.mathcity.org/bsc/notes_of_vector_analysis/view Notes of Vector Analysis (Online View) PDF View of Notes of the Vector Analysis is given on this page. These notes are helpful for BSc or equivalent classes. PDF file of the notes can also be downloaded from this page. Contents of these notes are available anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:46:01 +0000 https://www.mathcity.org/fsc-part1-ptb/bise-papers/view Papers (Old/Past/Model): BISE Old (or Past) Papers or Model Papers help the students and teachers to get an idea about the paper pattern and distribution of syllabus. This page is created to view or download the old or model papers. Please remember, only old papers or model papers of Mathematics FSc Part 1 (HSSC-I) conducted by Board of Intermediate and Secondary Education (BISE) of different cities of the Punjab are given on this page. List of papers is given below. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:33 +0000 https://www.mathcity.org/fsc-part1-ptb/fbise-papers/view Papers (Old/Past/Model): FBISE Old (or Past) Papers or Model Papers help the students and teachers to get an idea about the paper pattern and distribution of syllabus. This page is created to view or download the old or model papers. Please remember, only old papers or model papers of Mathematics FSc Part 1 (HSSC-I) conducted by Federal Board of Intermediate and Secondary Education (FBISE) are given on this page. List of papers is given below. anonymous@undisclosed.example.com (Anonymous) Thu, 06 Jan 2022 13:14:10 +0000 https://www.mathcity.org/fsc-part2-ptb/fbise-papers/view Papers (Old/Past/Model): FBISE - FSc-II Old (or Past) Papers or Model Papers help the students and teachers to get an idea about the paper pattern and distribution of syllabus. This page is created to view or download the old or model papers. Please remember, only old papers or model papers of Mathematics FSc Part 2 (HSSC-II) conducted by Federal Board of Intermediate and Secondary Education (FBISE) are given on this page. List of papers is given below. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:53 +0000 https://www.mathcity.org/fsc/fsc_part_1_model_papers/model_paper Model Paper FSc Part 1 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:46:11 +0000 https://www.mathcity.org/fsc/fsc_part_1_model_papers/pdfview DOC Viewer anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:46:11 +0000 https://www.mathcity.org/fsc/fsc_part_1_old_papers/bise_fsc_part_1 BISE FSc Part 1 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:46:17 +0000 https://www.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2009 FBISE Annual 2009 * FSc part 1 (HSSC-I) mathematics paper conducted by Federal Board of Intermediate and Secondary Education (FBISE), Islamabad has been analyse on this web page with the help of chart. Three type of chart are given in which one includes bar chart between chapters and marks, 2nd one include relation between algebraic and trigonometric portion and 3rd one contains pie chart which show the portion of questions from exercises to non-exercise question from book a anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:46:16 +0000 https://www.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2011 FBISE Annual 2011 * FSc part 1 (HSSC-I) mathematics paper conducted by Federal Board of Intermediate and Secondary Education (FBISE), Islamabad has been analyse on this web page with the help of chart. Three type of chart are given in which one includes bar chart between chapters and marks, 2nd one include relation between algebraic and trigonometric portion and 3rd one contains pie chart which show the portion of questions from exercises to non-exercise question from book a anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:46:18 +0000 https://www.mathcity.org/fsc/fsc_part_1_old_papers/fbise_annual_2012 FBISE Annual 2012 * FSc part 1 (HSSC-I) mathematics paper conducted by Federal Board of Intermediate and Secondary Education (FBISE), Islamabad has been analyse on this web page with the help of chart. Three type of chart are given in which one includes bar chart between chapters and marks, 2nd one include relation between algebraic and trigonometric portion and 3rd one contains pie chart which show the portion of questions from exercises to non-exercise question from book a anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:46:18 +0000 https://www.mathcity.org/fsc/fsc_part_1_old_papers/federal_board_fsc_part_1 Federal Board (FSc Part 1) - Online View anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:46:20 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/docview DOC Viewer: FSc Part 1 Solutions anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:46:38 +0000 https://www.mathcity.org/fsc/fsc_part_2_model_papers/model_paper Model Paper FSc Part 2 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:46:51 +0000 https://www.mathcity.org/fsc/fsc_part_2_old_papers/bise_fsc_part_2 BISE FSc Part 2 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:02 +0000 https://www.mathcity.org/fsc/fsc_part_2_old_papers/federal_board_fsc_part_2 Federal Board (FSc Part 2) anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:01 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/docview DOC Viewer anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:09 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/view_exercise_part_2 View Online (Solutions FSc Part 2) anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:10 +0000 https://www.mathcity.org/fsc/kpk-fsc-part1-km/view FSc-I Mathematics KPK: View Online These are the notes of old book. The notes of new book is AVAILABLE HERE On this page one can view the PDF of solutions of the A Textbook of Mathematics For Class XI” published by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. These notes are written by anonymous@undisclosed.example.com (Anonymous) Tue, 12 Dec 2023 17:08:04 +0000 https://www.mathcity.org/fsc/kpk-fsc-part2-km/view FSc-II Mathematics KPK: View Online On this page one can view the PDF of solutions of the “Textbook of Mathematics Grade 12” published by Khyber Pakhtunkhwa Textbook Board, Peshawar, Pakistan. These notes are written by khalid. Link to PDF is given at the end of preview. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:47:19 +0000 https://www.mathcity.org/math-11-pectaa/mcqs/open-mcqs-mathematics-11 Open MCQs of Mathematics 11 [Open MCQs of Mathematics 11] This is an initial release of the MCQs. The beautiful thing for these notes is that you can edit this booklet. Our aim is to make a database for the high quality MCQs available for all. Please remember these MCQs are related to the book anonymous@undisclosed.example.com (Anonymous) Thu, 26 Feb 2026 17:44:37 +0000 https://www.mathcity.org/matric/9th_general/view Matric 9th (General): Online View List of all chapters * VIEW Unit 01: Percentage Ratio and Proportion * VIEW Unit 02: Zakat, Ushr and Inheritance * VIEW Unit 03: Business Mathematics * VIEW Unit 04: Financial Mathematics * VIEW Unit 05: Consumer Mathematics * VIEW Unit 06: Exponents and Logarithms * VIEW Unit 07: Arithmatic and Geometric Sequence * VIEW Unit 08: Sets and Functions * VIEW Unit 09: Linear Graphs * VIEW Unit 10: Basic Statistic matric 9th_general anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:48:06 +0000 https://www.mathcity.org/matric/9th_science/unit11 Unit 11: Parallelograms and Triangles On this page notes of Unit 11 of Mathematics 9 written by Dr. Karamat H. Dar and Prof. Irfan-ul-Haq are given. [Unit 08: Linear Graph and their Application] After studying this unit, the students will be able to: * prove that in a parallelogram * the opposite sides are congruent, anonymous@undisclosed.example.com (Anonymous) Mon, 20 Mar 2023 15:25:59 +0000 https://www.mathcity.org/matric/10th_science/unit01-view Unit 01: Quadratic Equations: Online View On this page the solutions of Unit 01: Quadratic Equations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan. List of all exercise of Unit 01 * Exercise 1.1 * Exercise 1.2 * Exercise 1.3 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:48:01 +0000 https://www.mathcity.org/matric/10th_science/unit02-view Unit 02: Theory of Quadratic Equations: Online View On this page the solutions of Unit 02: Theory of Quadratic Equations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan. List of all exercise of Unit 02 anonymous@undisclosed.example.com (Anonymous) Wed, 24 Jul 2024 18:33:41 +0000 https://www.mathcity.org/matric/10th_science/unit03-view Unit 03: Variations: Online View On this page the solutions of Unit 03: Variations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan. List of all exercise of Unit 03 * Exercise 3.1 * Exercise 3.2 * Exercise 3.3 * Exercise 3.4 * Exercise 3.5 * Exercise 3.6 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:48:02 +0000 https://www.mathcity.org/matric/10th_science/unit04-view Unit 04: Partial Fractions: Online View On this page the solutions of Unit 04: Partial Fractions, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan. List of all exercise of Unit 04 * Exercise 4.1 * Exercise 4.2 * Exercise 4.3 * anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:48:03 +0000 https://www.mathcity.org/msc/notes/viewer DOC Viewer This viewer is powered by Google docs viewer. PDF of the file can be downloaded from this page. For other notes for MSc please visit this page. Notes of other papers anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:49:52 +0000 https://www.mathcity.org/msc/syllabus/uos Syllabus for UoS (Private only) Syllabus and scheme of studies for private students doing MSc Mathematics from University of Sargodha, Sargodha. The syllabus has been changed and few optional subjects has been dropped. Please be alert --- 2017/08/25 17:05 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:50:15 +0000 https://www.mathcity.org/papers/old_papers_of_m.phil._quaid-e-azam_university/admission_test_m._phil_qau Admission Test M.Phil QAU (Online View) anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:50:51 +0000 https://www.mathcity.org/papers/old_papers_of_m.phil._university_of_sargodha/view Admission Test M.Phil UOS (Online View) anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:50:53 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch01_real_numbers_limits_and_continuity/viewer Chapter 01: Viewer Notes of “Chapter 01: Real numbers, limits and continuity” of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. You can also download a PDF file of respective exercise from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:51:44 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch02_derivatives/viewer Chapter 02: Viewer Notes of Chapter 02: The Derivatives of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. You can also download a PDF file of respective exercise from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:51:47 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch03_general_theorem_intermediate_forms/viewer Chapter 03: PDF Viewer Notes of the Chapter 03: General Theorem, Intermediate Forms with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are three exercises in this chapter. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:51:57 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch04_techniques_of_integration_farooq/viewer Chapter 04: Viewer These notes are written by Prof. Muhammad Farooq. We are very thankful to him for providing these notes. List of all exercises of chapter 04 * Solution of Exercise 4.1 * Solution of Exercise 4.2 * Solution of Exercise 4.3 * Solution of Exercise 4.4 * Solution of Exercise 4.5 * Solution of Exercise 4.6 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:52:02 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch04_techniques_of_integration/viewer Chapter 04: PDF Viewer Notes of the Chapter 04: Techniques of integration written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are three exercises in this chapter. List of all exercise of chapter 04 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:51:58 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch05_the_definite_integral/viewer Chapter 05: PDF Viewer Notes of the Chapter 05: The Definite Integral, Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are three exercises in this chapter. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:52:05 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch06_plane_curves_i/viewer Chapter 06: PDF Viewer Notes of the Chapter 06: Plane Curves I, Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are three exercises in this chapter. List of all resources of chapter 06 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:52:10 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch07_plane_curves_ii/viewer Chapter 07: Viewer Notes of “Chapter 07: Plane Curve II” of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. You can also download a PDF file of respective exercise from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:52:14 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch08_analytic_geometry_of_three_dimensions/viewer Chapter 08: PDF Viewer Notes of the Chapter 08: Analytic Geometry of Three Dimensions of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are thirteen exercises in this chapter. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:52:18 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch09_functions_of_several_variables/viewer Chapter 09: PDF Viewer Notes of the Chapter 09: Functions of Several Variables of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. There are thirteen exercises in this chapter. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:52:23 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch01_complex_numbers/viewer Viewer: Ch 01 Complex Numbers Notes of Chapter 01: Complex Numbers of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. anonymous@undisclosed.example.com (Anonymous) Wed, 09 Mar 2022 19:08:50 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch02_groups/viewer Chapter 02: Viewer Notes of Chapter 02: Groups of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. Here is the list of all available exercises of Chapter 02 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:52:36 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch03_matrices/viewer Chapter 03: Viewer Notes of Chapter 03: Matrices of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. Here is the list of all available exercise of Chapter 03 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:53:09 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch04_system_of_linear_equations/viewer Chapter 04: Viewer Notes of Chapter 04: System of linear equations of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:53:51 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch04system_of_linear_equations/viewer Chapter 04: Viewer Notes of Chapter 04: System of linear equations of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:53:27 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch05_determinants/viewer Chapter 05: Viewer Notes of Chapter 05: Determinants of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. Notes of two exercises are given here. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:53:54 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch06_vector_spaces/viewer Chapter 06: Viewer Notes of Chapter 06: Vector space of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. Here is the list of all available exercises of Chapter 06 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:54:03 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch07_inner_product_spaces/viewer Chapter 07: Viewer Notes of Chapter 07: Inner Product Spaces of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. Here is the list of all available exercise of Chapter 07 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:54:11 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch08_infinite_series/viewer Chapter 08: Viewer Notes of Chapter 08: Infinite Series of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. Here is the list of all available exercise of Chapter 08 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:54:31 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch09_first_order_differential_equations/viewer Chapter 09: Viewer Notes of Chapter 09: First Order Partial Differential Equations of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:54:45 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch10_higher_order_linear_differential_equations/viewer Chapter 10: Viewer Notes of Chapter 10: Higher Order Linear Differential Equations of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:54:54 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch11_the_laplace_transform/viewer Chapter 11: Viewer Notes of Chapter 11: The Laplace Transform of Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. PDF file of respective exercise can be downloaded from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:55:02 +0000 https://www.mathcity.org/bsc/notes_of_mechanics/introduction_to_mechanics/ch02-composition-of-forces Chapter 02: Composition of Forces Notes of Chapter 02: Composition of Forces: Introduction to Mechanics by Q. K. Ghori published by West Pak Publishing Company (Pvt) Ltd. Notes of this chapter is send by Mr. Tahir Aziz. We are very thankful for his such effort.$(\lambda,\mu)$ anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:55:05 +0000 https://www.mathcity.org/bsc/notes_of_mechanics/introduction_to_mechanics/ch04-centres-of-mass-and-gravity Chapter 04: Centres of Mass and Gravity Notes of Introduction to Mechanics by Q. K. Ghori published by West Pak Publishing Company (Pvt) Ltd. These notes are written by Prof. Muhammad Tanveer. Following are the main topics of this chapter. * Linear Moment anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:55:04 +0000 https://www.mathcity.org/bsc/notes_of_mechanics/introduction_to_mechanics/ch05-friction Chapter 05: Friction Notes of Introduction to Mechanics by Q. K. Ghori published by West Pak Publishing Company (Pvt) Ltd. These notes are written by Prof. Muhammad Tanveer. Following are the main topics of this chapter. * Friction * Laws of friction anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:55:06 +0000 https://www.mathcity.org/bsc/notes_of_mechanics/introduction_to_mechanics/ch06-virtual-work Chapter 06: Virtual Work Notes of Chapter 06: Virtual Work: Introduction to Mechanics by Q. K. Ghori published by West Pak Publishing Company (Pvt) Ltd. Notes of this chapter is provide by *Prof. M. Tanveer*. We are very thankful to him for such a kind effort. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:55:07 +0000 https://www.mathcity.org/bsc/notes_of_mechanics/introduction_to_mechanics/ch07-kinematics Chapter 07: Kinematics Notes of Chapter 07: Kinematics: Introduction to Mechanics by Q. K. Ghori published by West Pak Publishing Company (Pvt) Ltd. Notes of this chapter is send by Mr. Tahir Aziz and Mr. Umair Sabi Ullah. We are very thankful to them for such a kind effort. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:55:09 +0000 https://www.mathcity.org/bsc/notes_of_mechanics/introduction_to_mechanics/ch08-rectilinear-motion Chapter 08: Rectilinear Motion Notes of Chapter 08: Rectilinear Motion: Introduction to Mechanics by Q. K. Ghori published by West Pak Publishing Company (Pvt) Ltd. Thanks to Mr. Tahir Aziz and Atiq ur Rehman for sending these notes. * Motion with constant acceleration anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:55:09 +0000 https://www.mathcity.org/bsc/notes_of_mechanics/introduction_to_mechanics/ch10-motion-of-a-projectile Chapter 10: Motion of a Projectile Notes of Chapter 10: Motion of a Projectile: Introduction to Mechanics by Q. K. Ghori published by West Pak Publishing Company (Pvt) Ltd. These notes are written by Prof. Shariq Mehtab Syed * Trajectory of a Projectile anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:55:09 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_muhammad_imran_qureshi/key Key to MCQs by Muhammad Imran Qureshi This page include the key to MCQs by Muhammad Imran Qureshi. Unit 02: Key 1- C 2- A 3- B 4- C 5- C 6- D 7- A 8- B 9- C 10-D 11-A 12-B 13-D 14-A 15-C 16-A 17-C 18-C 19-B 20-C 21-C 22-A 23-C 24-A 25-C 26-C 27-C 28-C anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:56:20 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_muhammad_imran_qureshi/online_view Online View List of all chapters * Key to MCQs by Muhammad Imran Qureshi * Chapter 01 * Chapter 02 * Chapter 03 * Chapter 04 * Chapter 05 * Chapter 06 * Chapter 07 * Chapter 08 * Chapter 09 * Chapter 10 * Chapter 11 * Chapter 12 * Chapter 13 * Chapter 14 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:56:19 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_01_key Ch 01: Key This page include the key to MCQs by Nauman Idrees of Chapter 01. 1- A 2- A 3- A 4- B 5- C 6- D 6- A 7- D 8- A 9- D 10- C 11- B 12- B 13- C 14- A 15- B 16- A 17- A 18- A 19- A 20- B 21- C 22- D 23- B 24- C 25- A 26- B 27- C 28- B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:56:40 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_02_key Ch 02: Key This page include the key to MCQs by Nauman Idrees of Chapter 02. 1- D 2- A 3- B 4- B 5-A 6- C 7- A 8- B 9- D 10- A 11- B 12- D 13- A 14- B 15- D 16- A 17- D 18- D 19- A 20- A 21- B 22- C 23- B 24- A 25- D 26- B 27- D 28- C 29- A anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:56:39 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_03_key Ch 03: Key This page include the key to MCQs by Nauman Idrees of Chapter 03. 1- B 2- A 3- C 4- A 5- C 6- C 7- D 8- B 9- B 10-C 11-C 12-C 13-B 14-C 15-A 16-A 17-D anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:56:42 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_04_key Ch 04: Key This page include the key to MCQs by Nauman Idrees of Chapter 04. 1 -A 2 -B 3 -A 4 -C 5-C 6 -C 7 -C 8 -D 9 -D 10-A 11-C 12-A 13-A 14-A 15-D 16-D 17-B 18-B 19-D 20-A 21-D 22-C 23-B 24-B 25-A 26-C 27-C 28-B 29-D 30-D anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:56:45 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_05_key Ch 05: Key This page include the key to MCQs by Nauman Idrees of Chapter 01. 1- A 2- C 3- A 4- B 5- B 6- B 7- C 8- D 9- A 10-C 11-D 12-D anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:56:50 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_06_key Ch 06: Key This page include the key to MCQs by Nauman Idrees of Chapter 06. 1- A 2- C 3- C 4- C 5- C 6- D 7- A 8- A 9- A 10- C 11- A 12- A 13- A 14- C 15- C 16- C 17- B 18- C 19- NO OPTION 20- A 21- B 22- B 23- A 24- A 25- ERROR 26- D 27- C anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:56:51 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_07_key Ch 07: Key This page include the key to MCQs by Nauman Idrees of Chapter 07. 1- B 2- B 3- B 4- C 5- C 6- A 7- D 8- A 9- D 10- A 11- D 12- A 13- A 14- D 15- C 16- A 17- D 18- B 19- B 20- B 21- C 22- B 23- B 24- C 25- A 26- B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:03 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_08_key Ch 08: Key This page include the key to MCQs by Nauman Idrees of Chapter 08. 1- B 2- A 3- B 4- D 5- D 6- A 7- D 8- D 9- A 10- A 11- D 12- A 13- A 14- A 15- A 16- B 17- B 18- A 19- C anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:03 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_09_key Ch 09: Key This page include the key to MCQs by Nauman Idrees of Chapter 09. 1- B 2- B 3- A 4- D 5- A 6- D 7- B 8- A 9- A 10- A 11- C 12- E 13- A 14- A 15- C 16- E 17- C 18- C 19- B 20- E 21- A 22- D 23- A 24- D 25- C 26- A 27- B 28- B 29- A $\pi/6$ anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:09 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_10_key Ch 10: Key This page include the key to MCQs by Nauman Idrees of Chapter 10. 1- B 2- B 3- B 4- B 5- A 6- C 7- D 8- E 9- B 10- D 11- A 12- C 13- D 14- B 15- E 16- A 17- B 18- D 19- D 20- A 21- A 22- C 23- B 24- E 25- B 26- B 27- A 28- E 29- B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:09 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_11_key Ch 11: Key This page include the key to MCQs by Nauman Idrees of Chapter 11. 1- B 2- A 3- B 4- A 5- C 6- D 7- C 8- D 9- A 10- A 11- B 12- B 13- E 14- E 15- B 16- A 17- E 18- E 19- D 20- D 21- E 22- E 23- D 24- D 25- B 26- B 27- D 28- D 29- C anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:12 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_12_key Ch 12: Key This page include the key to MCQs by Nauman Idrees of Chapter 12. 1- B 2- B 3- A 4- B 5- B 6- A 7- A 8- B 9- A 10- E 11- C 12- B 13- ? 14- ? 15- C 16- B 17- A 18- A 19- A 20- B 21- C 22- E 23- C 24- B 25- B 26- C 27- E 28- A 29- A anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:12 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_13_key Ch 13: Key This page include the key to MCQs by Nauman Idrees of Chapter 13. 1- A 2- E 3- ? 4- A 5- D 6- E 7- C 8- E 9- D 10- A 11- B 12- E 13- ? 14- C 15- B 16- B 17- A 18- ? 19- B 20- B 21- E 22- E 23- D 24- D 25- D 26- E 27- D 28- B 29- ? anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:13 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/ch_14_key Ch 14: Key This page include the key to MCQs by Nauman Idrees of Chapter 14. 1- C 2- A 3- C 4- B 5- E 6- B 7- D 8- B 9- A 10- C 11- A 12- C 13- B 14- A 15- C 16- C 17- C 18- A 19- C 20- C 21- D 22- C 23- B 24- D 25- B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:13 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/mcqs_by_nauman_idrees/online_view Online View anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:14 +0000 https://www.mathcity.org/fsc/fsc_part_1_mcqs/short_questions_by_mr._akhtar_abbas/view View * We are very thankful to Mr. Akhtar Abbas for sharing these short questions. These short questions are selected from previous five years papers of different boards. Solve these at your own to perform well in annual examination. Recommended book for these short questions is “Text Book of Algebra and Trigonometry Class XI (Punjab Textbook Board, Lahore)”. But any student Mathematics can get benefit from it. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:20 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch01/view Ch 01: Number System: Mathematics FSc Part 1 Notes (Solutions) of Chapter 01: Number System, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are three exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:21 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch01/viewer View Online (Solutions of Chapter 01) Here is the list of all exercises of Chapter 01 * Exercise 1.1 (Handwritten) * Exercise 1.2 (Handwritten) * Exercise 1.3 (Handwritten) anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:24 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch02/view Ch 02: Sets, Functions and Groups: Mathematics FSc Part 1 Notes (Solutions) of Chapter 02: Sets, Functions and Groups, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are eight exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:28 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch02/viewer View Online (Solutions of Chapter 02) Here is the list of all exercises of Chapter 02 * Exercise 2.1 * Exercise 2.2 (Handwritten) * Exercise 2.3 (Handwritten) * Exercise 2.4 * Exercise 2.5 * Exercise 2.6 (Handwritten) * Exercise 2.7 (Handwritten) * Exercise 2.8 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:28 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch03/view View Online (Solutions of Chapter 03) Here is the list of all exercises of Chapter 03 * Exercise 3.1 * Exercise 3.2 * Exercise 3.3 (Handwritten) * Exercise 3.4 (Handwritten) * Exercise 3.5 * Exercise 3.5 by Prof. Tahir Nazir * Exercise 3.5 by Prof. Shatriq Mahataab anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:34 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch03/viewer View Online (Solutions of Chapter 03) Here is the list of all exercises of Chapter 03 * Exercise 3.1 * Exercise 3.2 * Exercise 3.3 (Handwritten) * Exercise 3.4 (Handwritten) * Exercise 3.5 * Exercise 3.5 by Prof. Tahir Nazir * Exercise 3.5 by Prof. Shatriq Mahataab anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:34 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch04/view View Online (Notes of Chapter 04) Notes (Solutions) of Chapter 04: Quadratic Equations, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board, Lahore. These notes are provided by M. Shahid Nadeem, Lecturer in Mathematics, Punjab College Wah Cantt. One can also download PDF of the notes from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:41 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch04/viewer View Online (Solutions of Chapter 04) Here is the list of all exercises of Chapter 04 * Exercise 4.1 (Handwritten) * Exercise 4.2 (Handwritten) * Exercise 4.3 (Handwritten) * Exercise 4.4 * Exercise 4.5 (Handwritten) * Exercise 4.6 (Handwritten) * Exercise 4.7 * Exercise 4.8 (Handwritten) * Exercise 4.9 (Handwritten) * Exercise 4.10 (Handwritten) anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:41 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch05/view Ch 05: Partial Fractions: Mathematics FSc Part 1 Notes (Solutions) of Chapter 05: Partial Fractions, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are four exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:45 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch05/viewer View Online (Solutions of Chapter 05) Here is the list of all exercises of Chapter 05 * Exercise 5.1 * Exercise 5.2 (Handwritten) * Exercise 5.3 * Exercise 5.4 (Handwritten) anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:45 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch06/view Ch 06: Sequences and Series: Mathematics FSc Part 1 Notes (Solutions) of Chapter 06: Sequences and Series, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are eleven exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:49 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch06/viewer View Online (Solutions of Chapter 06) anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:48 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch07/view Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1 Notes (Solutions) of Chapter 07: Permutation, Combination and Probability, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are eight exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sat, 26 Mar 2022 16:27:34 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch07/viewer View Online (Solutions of Chapter 07) Notes (Solutions) of Chapter 07: Permutation , Combination and Probability, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. Here is the list of all exercises of Chapter 07 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:57:56 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch08/view Ch 08: Mathematical Induction and Binomial Theorem: Mathematics FSc Part 1 Notes (Solutions) of Chapter 08: Mathematical Induction and Binomial Theorem, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are three exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:58:09 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch08/viewer View Online (Solutions of Chapter 08) Here is the list of all exercises of Chapter 08 * Exercise 8.1 * Exercise 8.2 * Exercise 8.3 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:58:08 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch09/view Ch 09: Fundamentals of Trigonometry: Mathematics FSc Part 1 Notes (Solutions) of Chapter 09: Fundamentals of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are four exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:58:21 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch09/viewer View Online (Solutions of Chapter 09) Here is the list of all exercises of Chapter 09 * Exercise 9.1 * Exercise 9.2 * Exercise 9.3 * Exercise 9.4 (Handwritten) anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:58:19 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch10/view Ch 10: Trigonometric Identities: Mathematics FSc Part 1 Notes (Solutions) of Chapter 10: Trigonometric Identities, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are four exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:58:44 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch10/viewer View Online (Solutions of Chapter 10) Notes (Solutions) of Chapter 10: Trigonometric Identities, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. There are total of four exercise in this chapter. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:58:43 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch11/viewer View Online (Solutions of Chapter 11) Notes (Solutions) of Chapter 11: Trigonometric Functions and their Graphs, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. There are two exercise in this chapter. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:58:56 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch12/view Ch 12: Application of Trigonometry: Mathematics FSc Part 1 Notes (Solutions) of Chapter 12: Application of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are four exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:58:56 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch12/viewer View Online (Solutions of Chapter 12) Notes (Solutions) of Chapter 12: Application of Trigonometry, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. There are eight exercises in this chapter. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:58:57 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch13/view Ch 13: Inverse Trigonometric Functions: Mathematics FSc Part 1 Notes (Solutions) of Chapter 10: Inverse Trigonometric Functions, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are two exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:03 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch13/viewer View Online (Solutions of Chapter 13) Notes (Solutions) of Chapter 13: Inverse Trigonometric Functions, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. In this chpater, there are two exercise. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:03 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch14/view Ch 14: Solutions of Trigonometric Equation Notes (Solutions) of Chapter 14: Solutions of Trigonometric Equation, Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Textbook Board (PTB), Lahore. There are four exercises in this chapter. Please see the main page of this chapter for MCQs and important question at anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:08 +0000 https://www.mathcity.org/fsc/fsc_part_1_solutions/ch14/viewer View Online (Solutions of Chapter 14) Notes (Solutions) of Chapter 14: Solutions of Trigonometric Equation of Text Book of Algebra and Trigonometry Class XI (Mathematics FSc Part 1 or HSSC-I), Punjab Text Book Board, Lahore. In this chapter there is only one exercise. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:08 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/online_view Online View anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:14 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_01_key Unit 01: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 01. 1- B 2- A 3- B 4- C 5- A 6- A 7- D 8- A 9- C 10-A 11-A 12-B 13-D 14-B 15-C 16-D 17-D 18-C 19-D 20-D 21-A 22-D 23-C 24-B 25-D 26-A 27-B 28-B 29-C 30-A 31-A 32-B 33-B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:13 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_02_key Unit 02: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 02. 1- B 2- C 3- C 4- A 5- C 6- C 7- A 8- C 9- D 10-C 11-B 12-B 13-A 14-B 15-C 16-B 17-B 18-A 19-C 20-D 21-B 22-A 23-C 24-D 25-A 26-D 27-A 28-B 29-D 30-C 31-D 32-A 33-B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:15 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_03_key Unit 03: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 03. 1- B 2- A 3- B 4- C 5- A 6- A 7- D 8- A 9- C 10-A 11-A 12-B 13-D 14-B 15-C 16-D 17-D 18-C 19-D 20-D 21-A 22-D 23-C 24-B 25-D 26-A 27-B 28-B 29-C 30-A 31-A 32-B 33-B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:15 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_04_key Unit 04: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 04. 1- B 2- C 3- D 4- A 5- C 6- A 7- C 8- A 9- B 10-B 11-A 12-A 13-A 14-C 15-B 16-B 17-A 18-A 19-A 20-B 21-B 22-C 23-B 24-C 25-A 26-A 27-A 28-C 29-A 30-A 31-B 32-A 33-B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:16 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_05_key Unit 05: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 05. 1- A 2- B 3- D 4- A 5- B 6- B 7- A 8- B 9- A 10-c 11-A 12-A 13-D 14-C 15-A 16-C 17-B 18-A 19-C 20-A 21-C 22-D 23-A 24-D 25-B 26-A 27-B 28-B 29-C 30-B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:17 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_muhammad_imran_qureshi/unit_06_key Unit 06: Key This page include the key to MCQs by Muhammad Imran Qureshi of Unit 06. 1- C 2- A 3- A 4- A 5- D 6- A 7- B 8- D 9- B 10-B 11-A 12-A 13-B 14-A 15-C 16-A 17-B 18-B 19-B 20-C 21-A 22-D 23-C 24-A 25-C 26-A 27-D 28-C 29-A 30-B 31-B 32-B 33-B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:18 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/online_view View Online anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:28 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_01_key Unit 01: Key This page include the key to MCQs by Nauman Idrees of Unit 01. 1- D 2- C 3- D 4- A 5- B 6- A 7- D 8- B 9- B 10- B 11-C 12-A 13-B 14-C 15- A 16-B 17-C 18-C 19-MISSING 20- B 21-D 22-B 23-C 24-C 25-D 26-A 27-C 28-B 29-B 30-D anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:26 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_02_key Unit 02: Key This page include the key to MCQs by Nauman Idrees of Unit 02. 1- C 2- B 3- C 4- D 5- A 6- B 7- B 8- C 9- A 10- D 11-A 12-C 13-B 14-D 15-C 16-C 17-A 18-C 19-C 20-B 21-B 22-B 23-D 24-A 25-C 26-D 27-A 28-A 29-C 30-D 31-D 32-A 33-C anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:30 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_03_key Unit 03: Key This page include the key to MCQs by Nauman Idrees of Unit 03. 1- C 2- D 3- C 4- B 5- C 6- C 7- D 8- B 9- C 10- D 11-D 12-D 13-C 14-ERROR 15-D 16-C 17-A 18-D 19-B 20-D 21-B 22-D 23-C 24-C 25-C 26-A 27-D INTEGRATION BY SUBTITUTION anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:31 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_04_key Unit 04: Key This page include the key to MCQs by Nauman Idrees of Unit 04. 1- B 2- D 3- B 4- A 5 - B 6- D 7- A 8- B 9- D 10- D 11-D 12-D 13-A 14-B 15- C 16-B 17-B 18-B 19-D 20-B 21-C 22-B 23-C 24-C 25-D 26-A 27-B 28-B 29-B 30- C anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:34 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_05_key Unit 05: Key This page include the key to MCQs by Nauman Idrees of Unit 05. 1-C 2-B 3-A 4-MISSING 5-C 6-A 7-B 8-A 9-C 10C 11-C 12-B 13-A 14-D 15-B 16-B 17-A 18-D 19-A 20-C 21-C 22-B 23-A 24-D 25-D 26-A27-B 28-D 29-D 30-D 31-B 32-A 33-B 34-B 35-D anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:36 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_06_key Unit 06: Key This page include the key to MCQs by Nauman Idrees of Unit 06. 1- A 2- C 3- D 4- C 5- D 6- C O7- C 8- C 9- B 10- C 11- D 12- B 13- B 14- C 15- C 16- B 17- D 18- C 19- A 20- B 21- B 22- A 23- B 24- A 25- D 26- C 27- B 28- B anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:38 +0000 https://www.mathcity.org/fsc/fsc_part_2_mcqs/mcqs_by_nauman_idrees/unit_07_key Unit 07: Key This page include the key to MCQs by Nauman Idrees of Chapter 07. 1- C 2- B 3- C 4- B 5- B 6- C 7- C 8- C 9- B 10- A 11- D 12-C 13- D 14-C 15- D PRODUCT OF VECTOR 1- D 2- D 3- A 4- C 5- C 6- D 7- A 8- D 9- B 10- C 11- ERROR anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:59:39 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch01/viewer View Online (Solutions of Unit 01) Here is the list of all exercises of Unit 01 * Solutions of Exercise 1.1 * Solutions of Exercise 1.2 * Solutions of Exercise 1.3 * Solutions of Exercise 1.4 * Solutions of Exercise 1.5 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:01 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch02/view Unit 02: Differentiation: Mathematics FSc part 2 Notes (Solutions) of Unit 02: Differentiation, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are ten exercises in this chapter. Please see the main page of this chapter for MCQs and important question anonymous@undisclosed.example.com (Anonymous) Wed, 20 Sep 2023 13:53:02 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch02/viewer View Online (Solutions of Unit 02) On this page image view of the solutions of Unit 02: Differentiation has been given. List of all exercises has been given below this preview. Here is the list of all exercises of Unit 02 * Exercise 2.1 * Exercise 2.2 * Exercise 2.3 * Exercise 2.4 * anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:06 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch03/view Unit 03: Differentiation: Mathematics FSc part 2 Notes (Solutions) of Unit 03: Integration, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are eight exercises in this chapter. Please see the main page of this chapter for MCQs and important question anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:14 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch03/viewer View Online (Solutions of Unit 03) Notes (Solutions) of Unit 03: Integration, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. In this chapter, integration is defined and basic techniques of integration are given. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:14 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch04/view Unit 04: Introduction to Analytic Geometry: Mathematics FSc part 2 Notes (Solutions) of Unit 04: Introduction to Analytic Geometry, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are five exercises in this chapter. Please see the main page of this chapter for MCQs and important question anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:17 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch04/viewer View Online (Solutions of Unit 04) Notes (Solutions) of Unit 04: Introduction to Analytic Geometry, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. This chapter have only five exercises but it covers lot of topics of analytic geometry in the plane. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:17 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch05/view Unit 05: Linear Inequalities and Linear Programming: Mathematics FSc part 2 Notes (Solutions) of Unit 05: Linear Inequalities and Linear Programming, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are three exercises in this chapter. Please see the main page of this chapter for MCQs and important question anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:20 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch05/viewer View Online (Solutions of Unit 05) Here is the list of all exercises of Unit 05 * Exercise 5.1 (Handwritten) * Exercise 5.2 (Handwritten) * Exercise 5.3 (Handwritten) * Exercise 5.3 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:20 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch06/view Unit 06: Conic Section: Mathematics FSc part 2 Notes (Solutions) of Unit 06: Conic Section, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are nine exercises in this chapter. Please see the main page of this chapter for MCQs and important question anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:23 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch06/viewer View Online (Solutions of Unit 06) Notes (Solutions) of Unit 06: Conic Section, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. From this page, you can also download PDF of the notes. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:22 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch07/view Unit 07: Vectors: Mathematics FSc part 2 Notes (Solutions) of Unit 07: Vectors, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. There are three exercises in this chapter. Please see the main page of this chapter for MCQs and important question anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:25 +0000 https://www.mathcity.org/fsc/fsc_part_2_solutions/ch07/viewer View Online (Solutions of Unit 07) Here is the list of all exercises of Unit 07 * Exercise 7.1 (Handwritten) * Exercise 7.2 * Exercise 7.3 * Exercise 7.4 (Handwritten) * Exercise 7.5 (Handwritten) anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:25 +0000 https://www.mathcity.org/matric/9th_science/unit_04/viewer Unit 04 :Algebraic Expressions and Algebraic Formulas: Online View On this page, online view of the notes of unit 4 are given. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:42 +0000 https://www.mathcity.org/matric/9th_science/unit_05/viewer Unit 05: Factorization: Online View On this page, online view of the notes of unit 05 are given. After studying this unit , the students will be able to: * Recall factorization of expressions of the following types. * $ka + kb + kc$ * $ac + ad + bc + bd$ * $a^2 + 2ab + b^2$ * $a^2 – b^2$ * $a^2 + 2ab + b^2 – c^2$ * Factorize the expressions of the following types.$a^4 + a^2b^2 + b^4$$a^4 + 4b^4$$x^2 + px + q$$ax^2 + bx + c$$(ax^2 + bx + c) (ax2 + bx + d) + k$$(x + a) (x + b) (x +… anonymous@undisclosed.example.com (Anonymous) Wed, 30 Mar 2022 17:00:19 +0000 https://www.mathcity.org/matric/9th_science/unit07/viewer Unit 07: Linear Equations and Inequalities: Online View On this page the solutions of Unit 07: Linear Equations and Inequalities, Mathematics 9 (Science Group), are given List of all exercise of Unit 07 * Exercise 7.1 * Exercise 7.2 * Exercise 7.3 anonymous@undisclosed.example.com (Anonymous) Sat, 30 Apr 2022 18:35:29 +0000 https://www.mathcity.org/matric/9th_science/unit08/viewer Unit 08: Linear Graph and their Application: Online View On this page the solutions of Unit 08: Linear Graph and their Application, Mathematics 9 (Science Group), are given List of all exercise of Unit 08 * Exercise 8.1 (Solutions) * Exercise 8.2 (Solutions) * Exercise 8.3 (Solutions) anonymous@undisclosed.example.com (Anonymous) Sat, 28 May 2022 19:00:24 +0000 https://www.mathcity.org/matric/10th_science/unit01/viewer Unit 01: Quadratic Equations: Online View On this page the solutions of Unit 01: Quadratic Equations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan. List of all exercise of Unit 01 * Exercise 1.1 * Exercise 1.2 * Exercise 1.3 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:28 +0000 https://www.mathcity.org/matric/10th_science/unit02/viewer Unit 02: Theory of Quadratic Equations: Online View On this page the solutions of Unit 02: Theory of Quadratic Equations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan. List of all exercise of Unit 02 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:28 +0000 https://www.mathcity.org/matric/10th_science/unit03/viewer Unit 03: Variations: Online View On this page the solutions of Unit 03: Variations, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan. List of all exercise of Unit 03 * Exercise 3.1 * Exercise 3.2 * Exercise 3.3 * Exercise 3.4 * Exercise 3.5 * Exercise 3.6 anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:30 +0000 https://www.mathcity.org/matric/10th_science/unit04/viewer Unit 04: Partial Fractions: Online View On this page the solutions of Unit 04: Partial Fractions, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan. List of all exercise of Unit 04 * Exercise 4.1 * Exercise 4.2 * Exercise 4.3 * anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:31 +0000 https://www.mathcity.org/matric/10th_science/unit05/viewer Unit 05: Sets and Functions: Online View On this page the solutions of Unit 05: Sets and Functions, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan are given. List of all exercise of Unit 05 * Exercise 5.1 * anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:33 +0000 https://www.mathcity.org/matric/10th_science/unit06/viewer Unit 06: Basic Statistics: Online View On this page the solutions of Unit 06: Basic Statistics, Mathematics 10 (Science Group), published by Ilmi Kitab Khana, Urdu Bazar, Lahore, Pakistan are given. List of all exercise of Unit 06 * Exercise 6.1 * Exercise 6.2 * anonymous@undisclosed.example.com (Anonymous) Sun, 21 Feb 2021 17:29:34 +0000 https://www.mathcity.org/msc/notes/fundamental_of_complex_analysis/viewer Fundamental of Complex Analysis: Viewer Solutions of some exercises from Fundamental of Complex Analysis written by Dr. M. Iqbal and published by Ilmi Kitab Khana, Lahore- PAKISTAN. These are handwritten notes by Prof.(Rtd) Muhammad Saleem. You can also download PDF of solutions from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:41 +0000 https://www.mathcity.org/papers/old_papers_for_bsc_mathematics/punjab_university/view View Online (PU) * Old/previous papers of BSc (only mathematics), University of the Punjab, Lahore. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:44 +0000 https://www.mathcity.org/papers/old_papers_for_bsc_mathematics/sargodha_university/view View Online: BSc Mathematics (Old Papers) * Old/previous papers of BSc (only mathematics), University of the Sargodha, Sargodh. PDF can also be downloaded from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:47 +0000 https://www.mathcity.org/papers/old_papers_for_bsc_mathematics/sargodha_university/viewer-a-course View Online: A-Course of Mathematics Old/previous papers of BSc (only mathematics), University of the Sargodha, Sargodh. PDF can also be downloaded from this page. Here is the list of papers * A-Course of Mathematics: Paper A - 1st Annual 2017 * Pure Mathematics: Paper A - 1st Annual 2013 * Pure Mathematics: Paper A - 1st Annual 2012 * Pure Mathematics: Paper A - 1st Annual 2010 * Pure Mathematics: Paper A - 1st Annual 2007 * A-Course of Mathematics: Paper B - 1st Annual 20… anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:47 +0000 https://www.mathcity.org/papers/old_papers_for_bsc_mathematics/sargodha_university/viewer-am View Online: BSc Mathematics (Old Papers) * Old/previous papers of BSc (only mathematics), University of the Sargodha, Sargodh. PDF can also be downloaded from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:48 +0000 https://www.mathcity.org/papers/old_papers_for_bsc_mathematics/sargodha_university/viewer-b-course View Online: B-Course of Mathematics Old/previous papers of B-Course of Mathematics, University of the Sargodha, Sargodha. The old name of this subject is “Pure Mathematics”. The PDF of the paper can be downloaded from this page. Here is the list of papers anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:48 +0000 https://www.mathcity.org/papers/old_papers_for_bsc_mathematics/sargodha_university/viewer-general View Online: General Mathematics Old/previous papers of General Mathematics, University of the Sargodha, Sargodh. PDF can also be downloaded from this page. Here is the list of papers * General Mathematics: Paper A - 1st Annual 2013 * General Mathematics: Paper A - 1st Annual 2012 * General Mathematics: Paper A - 1st Annual 2011 * General Mathematics: Paper A - 2nd Annual 2010 * General Mathematics: Paper A - 1st Annual 2010 * General Mathematics: Paper A - 1st Annual 2008 … anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 17:00:49 +0000