#### 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