HandoutsEt

## HandoutsEt

#### The contents of book are as given below

1 Unit: Further on Relation and Functions

• Further on Relation and Functions
• Revision on relations
• Some additional types of functions
• Classification of functions.
• Composition of functions
• Inverse functions and their graphs.

2 Unit: Rational Expressions and Rational Functions.

• Simplification of rational expressions
• Rational equations
• Rational functions and their graphs.

3 Unit: Coordinate Geometry

• Straight line
• Conic sections

4 Unit: Mathematical Reasoning

• Logic
• Arguments and validity

5 Unit: Statistics and Probability

• Statistics
• Probability

6 Unit: Matrices and Determinants

• Matrices
• Determinants and their properties
• Inverse of a square matrix
• Systems of equations with two or three variables
• Cramer’s rule

7 Unit: The Set of Complex Numbers

• The concept of complex numbers
• Operations on complex numbers
• Complex conjugate and modulus
• Simplification of complex numbers
• Argand diagram and polar representation of

8 Unit: Vectors and Transformation of the Plane (For Natural Science Students)

• Representation of vectors.
• Scalar (inner or dot) product of vectors
• Application of vector
• Transformation of the plane

9 Unit: Further on Trigonometric Functions  (For Natural Science Students)

• The functions y -sec x, y z csc x and y z cot x
• Inverse of trigonometric functions
• Graphs of some trigonometric functions
• Applications of trigonometric functions

10. Mathematical Applications in Business (For Social Science Students)

• Basic mathematical concepts in business.
• Compound interest and depreciation
• Saving, investing and borrowing money
• Taxation