Mathematics For B.Sc. Students Semester I: MJC-01 & MIC-01 | Algebra - NEP 2020 Bihar Universities

• Very lucid and logical presentation of concepts, for easy and quick understanding.
• Close to 300 solved examples for better understanding of almost every topic are included. 
• Close to 650 practice exercise questions from various University examination papers are also compiled.

UNIT I

1. Polar Representation of Complex Numbers
2. De Moivre's Theorem and Applications
3. Logarithmic and Hyperbolic Functions 
4. Summation of Series
5. Resolution into Factors

UNIT II

6. Cartesian Product of Sets
7. Equivalence Relations
8. Partial and Total Order Relation Functions
9. Composition and Invertible Functions 
10. Cardinality of a Set

UNIT III

11. Division and Euclidean Algorithm
12. Fundamental Theorem of Arithmetic
13. Modular Arithmetic and Basic Properties of Congruences
14. Well Ordering Principle and Mathematical Induction

UNIT IV

15. Algebra of Matrices
16. Adjoint and Inverse of a Matrix
17. Solution of System of Linear Equations by Matrix Method 
18. Rank of a Matrix

UNIT V

19. Theory of Equations
20. Transformation of Equation
21. Solution of Cubic and Biquadratic Equations

Latest Questions from Examination Papers