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Elementary Linear Algebra by Muhammad Usman Hamid @notes
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======Elementary Linear Algebra by Muhammad Usman Hamid====== {{ :notes:elementary-linear-algebra-m-usman-hamid.jpg?nolink|Elementary Linear Algebra by Muhammad Usman Hamid}} Linear Algebra is the study of vectors and linear transformations. The
General Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
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rm and rank of matrix. Solution of the system of linear equations(Homogeneous and non-homogeneous) by use... ent and independent vectors. Bases and dimension. Linear transformation. Matrix of linear transformation (relevant theorems of bases and linear transformation with out proofs). ==== SECTION-III (
MTH231: Linear Algebra @atiq
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====== MTH231: Linear Algebra ====== ===== Introduction ===== Linear algebra is the branch of mathematics deals with algebraic equations, spaces (vector and scalar), linear mappings between such spaces etc. Combined with the theory of calculus, linear algebra ensures to have methodologies to compute
Definitions: FSc Part 2 (Mathematics): PTB @fsc-part2-ptb
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ve integers is called polynomial function. * **Linear Function:** If degree of polynomial function is one it is called linear function. e.g $f(x)=ax+b$. * **Identity Func... l form of Homogeneous equation. ===== Unit 05: Linear Inequalities and Linear Programming ===== * ** Inequality:** An inequality involving any one of the sym
FSc Part 1 (KPK Boards) @fsc
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ex numbers. * know the solution of simultaneous linear equations with complex co-efficients. * write the polynomial $P(z)$ as product of linear factors. * solve quadratic equations in complex... atrix and rank of a matrix. * solve a system of linear equations of both homogeneous and non-homogeneous... this unit the students will be able to * know linear, quadratic and square root functions. * define
Chapter 10: Higher Order Linear Differential Equations @bsc:notes_of_mathematical_method
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====== Chapter 10: Higher Order Linear Differential Equations ====== Notes of the book Mathematical Method... N. ====Contents and summary==== * Higher order linear differential equations * Exact equations ====V... Sc:Notes of Mathematical Method:Ch10 Higher Order Linear Differential Equations:Viewer?f=ch10/Chap-10-Solu... Sc:Notes of Mathematical Method:Ch10 Higher Order Linear Differential Equations:Viewer?f=ch10/Chap-10-Solu
Syllabus & Paper Pattern for General Mathematics (Split Program) @bsc:paper_pattern:punjab_university
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ods: (Geometry, Infinite Series, Complex Numbers, Linear Algebra, Differential Equations)) of General Math... ods: (Geometry, Infinite Series, Complex Numbers, Linear Algebra, Differential Equations)=== **Note:** At... on out of 2)** Matrices, Determinants, System of Linear Equations, and Vector Spaces: Algebra of Matrices... ces; Rank of a matrix; Introduction to systems of linear equations; Cramer’s rule, Gaussian elimination an
B-Course of Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
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tesian and polar co-ordinates. Laws of mechanics. Linear and angular velocity. Relative velocity. Rectilin... olar co-ordinates| |Chapter 7 |Laws of mechanics, Linear and angular velocity, Relative velocity| ^Chapter... Various methods of solutions of first order ODE (linear and non-linear). The Bernoulli’s, Ricatti and Clairaut’s equations. Singular solutions. Orthogonal trajec
Chapter 10: Viewer @bsc:notes_of_mathematical_method:ch10_higher_order_linear_differential_equations
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: Viewer ====== Notes of Chapter 10: Higher Order Linear Differential Equations of Mathematical Method wri... Sc:Notes of Mathematical Method:Ch10 Higher Order Linear Differential Equations :Viewer?f=ch10/Chap-10-Sol... Sc:Notes of Mathematical Method:Ch10 Higher Order Linear Differential Equations :Viewer?f=ch10/Chap-10-Sol... Sc:Notes of Mathematical Method:Ch10 Higher Order Linear Differential Equations :Viewer?f=ch10/Chap-10-Sol
Unit 05: Linear Inequalities and Linear Programming @fsc:fsc_part_2_solutions
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====== Unit 05: Linear Inequalities and Linear Programming ====== {{ :fsc:fsc_part_2_solutions:fsc-2-unit-05-ptb.jpg?nolink|Unit 05: Linear Inequalities and Linear Programming}} Notes (Solutions) of Unit 05: Linear Inequalities and Linear Progra
A-Course of Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
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ent and independent vectors. Bases and dimension. Linear transformations and matrix of linear transformation. (relevant theorems of bases and linear transformation without proofs) . ==== SECTIO... y dependent and independent vectors * Ex 6.3: Linear transformations and matrix of linear transformati
Linear Algebra: Important Definitions and Results @notes
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======Linear Algebra: Important Definitions and Results====== {{ :notes:linear-algebra-definitions-and-results-akhtar-abbas.jpg?nolink|Linear Algebra: Important Definitions and Results}} Thes... fter graduation like PPSC, FPSC or etc. ^ Name |Linear Algebra: Important Definitions and Results | ^ A
MCQs: Ch 04 Quadratic Equations @fsc-part1-ptb:mcq-bank
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=== - An equation $ax^2+bx+c=0$ is called - Linear - Quadratic - Cubic equation - None o... adratic equation in $x$ is - 2nd degree - Linear - Cubic - None of these - Number of bas... dratic equation - Polynomial in $x$ - Non-linear equation - None of these - A polynomial in$x$ can be considered as a - Non-linear equation - Polynomial function of $x$ - B
Functional Analysis by Mr. Tahir Hussain Jaffery @notes
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athematics concerned with vector space theory and linear algebra. It requires looking into the relationshi... ="6"> * Norm * Examples of normed * Normed linear space * Bounded linear operator * Continuous linear operator * Norm of operator * Isomorphism * Isometric isomorphism
Unit 05: Linear Inequalities and Linear Programming @fsc-part2-ptb:important-questions
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====== Unit 05: Linear Inequalities and Linear Programming ====== Here is the list of important questions. <list-group> * Grap... Gujranwala (2015)// * Indicate solution set of linear inequality $2x+3y\leq 12$ by shading. --- // BSIC... // * Graph the feasible region of the system of linear inequalities\\ $x+2y\leq 14$\\ $3x+4y\leq 36$\\
Notes of Algebra @notes
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Operation Research by Sir Haidar Ali @notes
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Topology: Handwritten Notes @notes
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PPSC Paper 2021 (Lecturer in Mathematics) @ppsc
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Mathematics 9 (Science Group) @matric
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Algebra II by Syed Sheraz Asghar @notes
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Chapter 09: Linear Programming @fsc:kpk_fsc_part_1
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MATH-731: Convex Analysis @atiq
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Vector Spaces (Handwritten notes) @notes
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Question 2, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 2, Exercise 1.3 @math-11-kpk:sol:unit01
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Khuram Ali Khan
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MTH103: Exploring Quantitative Skills @atiq
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General Mathematics 9 @matric
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Functional Analysis by Prof Mumtaz Ahmad @notes
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Notes for Numerical Methods by M Usman Hamid @notes
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Partial Differential Equations by M Usman Hamid @notes
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Umer Asghar @people
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PPSC Paper 2011 (Lecturer in Mathematics) @ppsc
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Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 1.3 @math-11-kpk:sol:unit01
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PPSC General Information, Syllabus, Paper Pattern
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MATH-301: Complex Analysis @atiq
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MATH-505: Complex Analysis @atiq
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Notes of Mathematical Method @bsc
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Important Questions: HSSC-II @fsc-part2-ptb
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FSc Part 2 (KPK Boards) @fsc
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Mathematics 10 (Science Group) @matric
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Affine and Euclidean Geometry by Shahzad Idress @notes
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Mechanics I (Statics) by Dr Babar Ahmad @notes
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Number Theory by Dr Muhammad Umer Shuaib @notes
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Numerical Analysis II @notes
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Operation Research: Handwritten Notes @notes
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Theory of Optimization by Ma'am Iqra Razzaq @notes
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Vector Space (Review) by Rashad Wattu @notes
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Nawab Ali @people
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Chapter 03: Matrices @bsc:notes_of_mathematical_method
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Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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Assessment Scheme @fsc:fsc_part_2_model_papers
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Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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Matric 9th (General): Online View @matric:9th_general
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Number Theory by Ms. Iqra Liaqat @msc:notes
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Mathematics Events
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Notes of Mathematics
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CHEM-501: Basic Mathematics for Chemist @atiq
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MTH424: Convex Analysis @atiq
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MTH604: Fixed Point Theory and Applications @atiq
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MTH424: Convex Analysis (Fall 2020) @atiq
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MATH-300: Basic Mathematics for Chemist @atiq
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MTH633: Advanced Convex Analysis @atiq
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MTH633: Advanced Convex Analysis (Spring 2015) @atiq
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MTH633: Advanced Convex Analysis (Spring 2017) @atiq
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MTH604: Fixed Point Theory and Applications @atiq
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MTH633: Advanced Convex Analysis (Spring 2019) @atiq
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MTH424: Convex Analysis (Spring 2024) @atiq
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Notes of Number Theory by Umer Asghar @bsc
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Differential Geometry: Handwritten Notes @notes
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Differential Geometry by M Usman Hamid @notes
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Differential Geometry by Syed Hassan Waqas @notes
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Mathematical Method by Sir Muhammad Awais Aun @notes
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Mathematical Statistics by Ms. Iqra Liaqat @notes
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Measure Theory Handwritten Notes by Asim Marwat @notes
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Number Theory: Handwritten Notes @notes
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Number Theory Notes by Anwar Khan @notes
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Real Analysis Handwritten Notes by Kaushef Salamat @notes
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Akhtar Abbas @people
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Sheikh Muhammad Saleem Shahzad @people
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PPSC Paper 2015 (Lecturer in Mathematics) @ppsc
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Chapter 02: Groups @bsc:notes_of_mathematical_method
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Unit 03: Integration @fsc-part2-ptb:important-questions
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MCQs with key @fsc:fsc_part_2_mcqs
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Unit 11: Parallelograms and Triangles @matric:9th_science
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Syllabus for UoS (Private only) @msc:syllabus
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Preparation Guide @msc:syllabus:uos
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