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

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

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  • ISBN : 9789358705850
  • Pages : 352
  • Binding : Paperback
  • Language : English
  • Imprint : S Chand Publishing
  • © year : 2024
  • Size : 6.50*9.25

Price : 349.00 279.20

This textbook has been designed to meet the needs of B.Sc. First Semester students of Mathematics as per Common Minimum Syllabus prescribed for Patna University and other Universities and Colleges under the recommended National Education Policy 2020 in Bihar. The book comprehensively covers important topics such as Polar Representation of Complex Numbers, De Moivre's Theorem and Applications, Logarithmic and Hyperbolic Functions, Summation of Series, Cartesian Product of Sets, Equivalence Relations, Partial and Total Order Relation Functions, Composition and Invertible Functions, Cardinality of a Set, Division and Euclidean Algorithm, Modular Arithmetic and Basic Properties of Congruences, Well Ordering Principle and Mathematical Induction, Algebra of Matrices, Adjoint and Inverse of a Matrix, Rank of a Matrix, Theory and Transformation of Equations, Solution of Cubic and Biquadratic Equations, etc. are explained thoroughly and followed by numerous examples and practice exercises. Questions from Universities Latest Examination papers are included at the end for smart revision and practice.

  • 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

 

This textbook has been designed to meet the needs of B.Sc. First Semester students of Mathematics as per Common Minimum Syllabus prescribed for Patna University and other Universities and Colleges under the recommended National Education Policy 2020 in Bihar.

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