Merging man & maths https://www.mathcity.org/ Thu, 04 Jun 2026 16:54:10 +0000 FeedCreator 1.8 https://www.mathcity.org/_media/logo.svg https://www.mathcity.org/ 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/ch09_first_order_differential_equations Chapter 09: First Order Differential Equations Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Contents and summary * D.E and their classification * Formation of differential equation anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:50 +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/ch02_derivatives Chapter 02: The Derivative [Chapter 02: The Derivative BSc Calculus] Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Here are few online resource, which are very helpful to find derivative. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:28 +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_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/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_calculus_with_analytic_geometry/ch07_plane_curves_ii Chapter 07: Plane Curves II Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. [Asymptote] Contents and summary * Asymptotes: A straight line $l$ is called an asymptote for a curve $C$$l$$C$$l$$l$ anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:32 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch01_complex_numbers Chapter 01: Complex Numbers [Chapter 01 Complex Numbers Methods] Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. A complex number is an element $(x,y)$ of the set $$ \mathbb{R}^2=\{(x,y): x,y \in \mathbb{R}\} $$ obeying the following rules of addition and multiplication.$z_1=(x_1,y_1)$$z_2=(x_2,y_2)$$z_1+z_2= (x_1+x_2, y_1+y_2)$$z_1 z_2 = (x_1 x_2 - y_1 y_2, x_1 y_2+y_1 x_2)$$\mathbb{R}^2$$\mathbb{C}$ anonymous@undisclosed.example.com (Anonymous) Mon, 11 Dec 2023 12:59:57 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch10_higher_order_linear_differential_equations Chapter 10: Higher Order Linear Differential Equations Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Contents and summary * Higher order linear differential equations anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:51 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch01_real_numbers_limits_and_continuity/viewer Chapter 01: Viewer Notes of “Chapter 01: Real numbers, limits and continuity” of Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. You can also download a PDF file of respective exercise from this page. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:51:44 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch06_plane_curves_i Chapter 06: Plane Curves I Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. [Conic section] Contents and summary * Conic sections * The parabola * The ellipse anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:31 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch01_real_numbers_limits_and_continuity Chapter 01: Real Numbers, Limits and Continuity [Chapter 01 of Calculus with Analytic Geometry] Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. The notes of this chapter is written by Prof. $\mathbb{R}$$\mathbb{R}$$\mathbb{R}$ anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:28 +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_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_mathematical_method/ch11_the_laplace_transform Chapter 11: The Laplace Transform Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin. This book is published by Ilmi Kitab Khana, Lahore - PAKISTAN. Solutions of Chapter 11: The Laplace Transform are given here in pdf form. $f$$[0,\infty)$$f$$\mathcal{L}(f)$$F$$ provided the above improper integral converges. We have $ anonymous@undisclosed.example.com (Anonymous) Sun, 29 May 2022 17:43:26 +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_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/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_calculus_with_analytic_geometry/ch03_general_theorem_intermediate_forms Chapter 03: General Theorem, Intermediate Forms [BSc Calculus 3rd Chapter] What is in the this chapter? * Rolle's theorem * Geometrical interpretation of Rolle's theorem * The mean value theorems * Another form of mean value theorem * Increasing and decreasing functions$\frac{0}{0}$$\frac{\infty}{\infty}$$0\times \infty$$\infty \times 0$$\infty-\infty$$0^\infty, 1^\infty, \infty^0$ anonymous@undisclosed.example.com (Anonymous) Fri, 21 Apr 2023 13:46:07 +0000 https://www.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch04_techniques_of_integration_farooq Chapter 04: Techniques of Integration These notes are written by Prof. Muhammad Farooq. We are very thankful to him for providing these notes. * Anti-derivative * Table of integrals * Integration by substitution * Integration by parts * Column (or tabular) integration anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:30 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch02_groups Chapter 02: Groups [Chapter 02: Groups] Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Contents and summary * Definition (axioms of group) * Definition ( commutative group ) * anonymous@undisclosed.example.com (Anonymous) Mon, 11 Dec 2023 13:00:23 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch07_inner_product_spaces Chapter 07: Inner Product Spaces Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Inner product spaces form and important topic of Functional Analysis. These are simply vector space over the field of real or complex numbers and with an inner product defined on them. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:48 +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_calculus_with_analytic_geometry/ch05_the_definite_integral Chapter 05: The Definite Integral These notes are written by Mr. Abrar Mustafa. We are very thankful to him for providing these notes. * The definite integral as limit of a sum * Evaluation of limit of a sum * Evaluation of definite integral anonymous@undisclosed.example.com (Anonymous) Tue, 05 Dec 2023 03:01:56 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch08_infinite_series Chapter 08: Infinite Series Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Infinite series are of great importance in both pure and applied mathematics. They play a significant role in Physics and engineering. In fact many functions can be represented by infinite series. The theory of infinite series is developed through the use of special kind of function called sequence. anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:49 +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_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/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_calculus_with_analytic_geometry/ch04_techniques_of_integration Chapter 04: Techniques of Integration These notes are written by Mr. Aqeel Nawaz. We are very thankful to him for providing these notes. * Anti-derivative * Table of integrals * Integration by substitution * Integration by parts * Column (or tabular) integration anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:29 +0000 https://www.mathcity.org/bsc/notes_of_mathematical_method/ch06_vector_spaces Chapter 06: Vector Spaces Notes of Chapter 06 Vector Spaces of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Contents and summary * Subspaces * Linear combinations and spanning sets anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:47 +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/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/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/ch05_determinants Chapter 05: Determinants * Determinant of a square matrix * Axiomatic definition of a determinant * Determinant as sum of products of elements * Determinant of the transpose * An algorithm to evaluate Det A * Determinants and inverse of matrices anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:47 +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/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/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_calculus_with_analytic_geometry/ch08_analytic_geometry_of_three_dimensions Chapter 08: Analytic Geometry of Three Dimensions Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. Contents & Summary * Distance between two points$\mathbb{R}^3$ anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:33 +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/kaleem_arif Notes of Mechanics by Kaleem Arif ARW Virtual Work Download PDF~3.3MB View Online bsc notes_of_bsc notes_of_mechanics_bsc anonymous@undisclosed.example.com (Anonymous) Sun, 07 Feb 2021 16:45:54 +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