Calculus

Lecturer: Prof. S. K. Ray
College/University: Indian Institute of Technology Kanpur

1. Real Number
   
2. Sequences (First Part)
   
3. Sequences (Second Part)
   
4. Sequences (Third Part)
   
5. Continuous Function
   
6. Properties of Continuous Fuction
   
7. Uniform Continuity
   
8. Differentiable Function
   
9. Mean Value Theorems
   
10. Maxima and Minima
    
11. Taylor's Theorem
    
12. Curve Sketching
    
13. Infinite Series (First Part)
    
14. Infinite Series (Second Part)
    
15. Tests of Convergence
    
16. Power Series
    
17. Riemann Integral
    
18. Riemann Integrable Functions
    
19. Applications of Riemann Integral
    
20. Length of a Curve
    
21. Line Integrals
    
22. Functions of Several Variables
    
23. Differentiation
    
24. Derivatives
    
25. Mean Value Theorem
    
26. Maxima and Minima
    
27. Methods of Lagrange Multipliers
    
28. Multiple Integrals
    
29. Surface Integrals
    
30. Green's Theorem
    
31. Stokes Theorem
    
32. Gauss Divergence Theorem