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

**Unit 1: Sequences and Series**

- 1.1 Sequences
- 1.2 Arithmetic sequences and geometric sequences
- 1.3 The sigma notation and partial sums
- 1.4 Infinities series
- 1.5 Applications of arithmetic progressions and geometric progressions

**Unit 2: Introduction to Limits and Continuity**

- 2.1 Limits of sequences of numbers
- 2.2 Limits of functions
- 2.3 Continuity of a function
- 2.4 Exercises on applications of limits

**Unit 3 Introduction to Differential Calculus**

- 3.1 Introduction to Derivatives
- 3.2 Derivatives of some functions
- 3.3 Derivatives of combinations and compositions of functions

**Unit 4 Applications of Differential Calculus**

- 4.1 Extreme values of functions
- 4.2 Minimization and maximization problems
- 4.3 Rate of change

**Unit 5 Introduction to Integral Calculus **

- 5.1 Integration as reverse process of differentiation
- 5.2 Techniques of integration
- 5.3 Definite integrals, area and fundamental theorem of calculus
- 5.4 Applications of Integral calculus

**Unit 6 Three Dimensional Geometry and Vectors in Space (For Natural Science Students)**

- 6.1 Coordinate axes and coordinate planes in space
- 6.2 Coordinates of a point in space
- 6.3 Distance between two points in space
- 6.4 Mid-point of a line segment in space
- 6.5 Equation of sphere
- 6.6 Vectors in space

**Unit 7 Mathematical Proofs (For Natural Science Students)**

- 7.1 Revision on logic
- 7.2 Different types of proofs
- 7.3 Principle and application of mathematical induction

**Unit 8 Further on Statistics (For Social Science Students)**

- 8.1 Sampling techniques
- 8.2 Representation of data
- 8.3 Construction and interpretation of graphs
- 8.4 Measures of central tendency and measures of variability
- 8.5 Analysis of frequency distributions
- 8.6 Use of cumulative frequency curves

**Unit 9 Mathematical Applications for Business and consumers (For Social Science Students) **

- 9.1 Applications to purchasing
- 9.2 Percent increase and percent decrease
- 9.3 Real estate expenses
- 9.4 Wages