Exam Solutions: Algebra and Related Topics New Syllabus Topic Wise Previous Exam Questions and Solutions for BSc/B.A/B.Com

A comprehensive guide tailored specifically forstudents this book serves as an invaluable resource providing topic-wise solutions to previous exam questions in algebra and related fields. It meticulously addresses topics such as complex numbers trigonometric functions roots and polynomials matrices and determinants ensuring a thorough understanding of these concepts. Each chapter is structured to provide a concise overview of the topic followed by a compilation of carefully selected exam questions. The following is a brief content of the book: 1. Fundamental Operations with Complex Numbers. 2. Polar Representation of Complex numbers. 3. Multiplication of Complex Quantities. 4. Division of one complex quantity by another. 5. De Moivre’s Theorem (Statement and Proof). 6. The nth root of unity. 7. Expansion of sin nθ and cos nθ (n being a positive integer). 8. Euler’s Expansion of cosine and sine. 9. Addition and Subtraction Theorems for Complex Arguments. 10. Hyperbolic Functions and Their Applications. 11. Hyperbolic Functions expressed in terms of Circular Functions. 12 Formulae of Hyperbolic Functions. 13. Expansions of sinh x and cosh x. 14. Applications of Gregory’s Series. 15 Roots of Polynomial Equations 16. Matrices and Determinants etc.