Mathematics for B.Sc. Student Semester II | Algebra | For Four Year UG Program - NEP 2020 Chattisgarh

• Very lucid and logical presentation of concepts, for easy and quick understanding.
• More than 300 solved examples for better understanding of almost every topic are included. 
• Close to 950 practice exercise questions from various University examination papers are also compiled.

Unit I

1.      Elementary Operations and Special Types of Matrices

2.      Inverse of a Matrix

3.      Rank of a Matrix

4.      System of Linear Equations

5.      Eigen Values, Eigen Vectors and Characteristic Equation of Matrix

6.      Cayley-Hamilton Theorem and Inverse

Unit II

7.      Set Theory

8.      Relations

9.      Functions and Types

10.  Composition and Invertible Functions

11.  Modular Arithmetic and Basic Properties of Congruences

Unit-III

12.  Theory of Equations

13.  Transformation of Equation

14.  Descarte's Rule and Solution of Cubic and Biquadratic

Unit IV

15.  Group and Properties

16.  Subgroups

17.  Cosets and their Properties

18.  Legrange's Theorem and Applications

19.  Normal Subgroups and Properties

20.  Simple Groups and Factors Groups