FURTHER ELEMENTARY ANALYSIS

Contents:

1. Permutations and combinations – Elementary Probability.

2. Logarithms – Logarithmic and exponential functions

3. Power series – Derivation and use of exponentials – Logarithmic and trigonometrical series

4. Finite algebraic series

5. Definite integration as a summation – Geometrical applications

6. Further applications of definite integration

7. Solution or Equations

8. Inequalities

9. Equations of a curve – Elementary curve tracing

10. Analytical geometry – The straight line

11. The circle

12. The parabola

13. The ellipse

14. The hyperbola

15. Inverse circular and hyperbolic functions

16. Partial fractions an their applications

17. Further methods of integration and standard types of integral.

18. Differential properties of plane curves – Curvature

19. Differential Equations

20. Complex numbers

Revision Papers

Answers