Ancillary Mathematics Volume 1 2nd Edition by S Narayanan, R Hanumatha Rao, TK Manicavachagam Piliay

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Author: S Narayanan, R Hanumatha Rao, TK Manicavachagam Piliay

Ancillary Mathematics Volume 1 2nd Edition Table of contents:

Unit I: Algebra

1. Theory of Equations

2. Binomial, Exponential, and Logarithmic Series

3. Partial Fractions

4. Matrices and Determinants

5. Application of Matrices – Solving Linear Systems

Unit II: Trigonometry

6. Expansion of Trigonometric Functions

7. Hyperbolic Functions

8. Inverse Hyperbolic Functions

9. Logarithmic and Exponential Series in Trigonometry

Unit III: Differential Calculus

10. Limits and Continuity

11. Differentiation of Algebraic and Transcendental Functions

12. Successive Differentiation

13. Leibnitz’s Theorem

14. Applications of Derivatives: Maxima and Minima

Unit IV: Integral Calculus

15. Standard Integrals and Techniques of Integration

16. Integration by Parts

17. Definite Integrals

18. Reduction Formulae

19. Applications of Integration – Area Under Curves

Unit V: Differential Equations

20. First Order Differential Equations

21. Second Order Linear Differential Equations

22. Homogeneous and Non-Homogeneous Equations

23. Applications in Physics and Engineering

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