# Virtual University of Pakistan

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## MTH102 : Basic Algebra and Trigonometry

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### Course Info

Mathematics

3

N/A

#### Instructor

Dr. Naveed S. Bari
Ph.D
Dartmouth College USA

### Course Contents

Set, its different representations and types of sets Complex numbers their addition, subtraction, multiplication and division and Modulus of a complex number Mapping and their types, function and their types, composite and inverse of a function, addition, subtraction, multiplication and division of functions Quadratic functions and quadratic formula with the types of solutions Matrices with their addition, subtraction and multiplication , finding the inverse of a matrix using augmented matrix and co-factors. Application of matrices in solving system of linear equations, Crammer rule Determinants Arithmetic and Geometric Sequence with their nth terms and Series sum. Permutations and Combinations with their applications on some real life scenarios Binomial theorem and its applications in generalizing the formulas for higher powers In coordinate geometry find the distance between two points, the slope of a line,condition for parallel and perpendicular lines, Circle and equation of circle Graphs of basic trigonometric functions, periodicity of sine and cosine functions, trigonometric identities and their applications to solve a trigonometric equation, Sum and Difference Formulas , Double Angle Formulas Statistics and its contribution in our life, types of statistics, measurement scales, Data Representation to analyse and find Measures of Central Tendency , Measures of Dispersion, Partial Fractions and Trigonometric Identities