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Course Contents

Preliminaries: Real and complex numbers, introduction to sets, set operations, functions, types of functions. Matrices: Introduction to matrices, types of matrices, inverse of matrices, determinants, system of linear equations, Cramer’s rule. Quadratic equations: Solution of quadratic equations, nature of roots of quadratic equations, equations reducible to quadratic equations. Sequence and Series: Arithmetic, geometric and harmonic progressions. Permutation and combinations: Introduction to permutation and combinations. Binomial Theorem: Introduction to binomial theorem. Trigonometry: Fundamentals of trigonometry, trigonometric identities. Graphs: Graph of straight line, circle and trigonometric functions.


Course Learning Outcomes

To give the basic knowledge of Mathematics to the students not majoring in mathematics (Disciplines of Social Sciences and Humanities). After completion of this course the student will be able to apply the basic concepts and the techniques of mathematics in their respective disciplines.


Binomial Theorem Exer 8.2 (method and questions)

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Binomial Theorem Exer 8.3

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Introduction to Trigonometry

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Introduction before chapter 9 (continous)

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Exer 9.1 ( Introduction to Trigonometry)

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Exer 9.4 (Introduction to Trigonometry)

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Exer 9.4 (Introduction to Trigonometry) Continuous

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Some Definitions of the course

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Chapter 7 (Factorial notation) Exer 7.1

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Solution of Exer 7.1

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Topic Permutation Before Exer 7.2

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Exer 7.2 Permutation

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Combination Before Exer 7.4

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Exer 7.4 Combination

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Book Title : Algebra and Trigonometry (First Year)
Author : Professor Shamshad Muhammad Lodhi, Professor Muhammad Shareef Ghouri, Professor Sanaullah Bhatti, Pr
Edition : 1st
Publisher : Punjab Text Board
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