Mathematics for B.Sc. Students Semester II: Paper 1 & 2 | Integral Calculus and Ordinary Differential Equations | Vector Analysis - NEP 2020 Maharashtra

• Very lucid and logical presentation of concepts, for easy and quick understanding.
• More than 200 solved examples for a better understanding of almost every topic are included. 
• Close to 450 practice exercise questions from various University examination papers are also compiled.

PAPER I: Integral Calculus and Ordinary Differential Equations

Unit I: Reduction Formulae and Beta, Gamma Function

1. Integration of Transcendental Functions

2. Integration of Irrational Algebraic Functions

3. Beta and Gamma Functions

Unit II: Multiple Integrals

4. Operator Methods for Finding Particular Solutions

Unit III: First-Order Differential Equations

5. Differential Equations: An Introduction

6. Integrating Factors

7. Geometrical Interpretation and Orthogonal Trajectories

8. Linear Differential Equations with Constant Coefficients

9. Homogeneous Linear Differential Equations

10. Linear Differential Equations of Second Order with Variable Coefficients

11. Operator Methods for Finding Particular Solutions

PAPER II: Vector Analysis

Unit I: Vector Triple Products

1. Integration of Transcendental Functions

2. Product of Four Vectors

Unit II: Gradient, Divergence and Curl

3. The Vector Differential Operator Del

Unit III: Gradient, Divergence and Curl

4. Integration of Vectors

Unit IV: Vector Theorems