Week |
Topics |
1. Week |
Sequence, sequences defination, limit of sequence |
2. Week |
Theorems of on the sequences |
3. Week |
Upper limit, lower limit |
4. Week |
Convergence properties of sequences |
5. Week |
Infinite series and defination |
6. Week |
Special series, geometric series and theorems |
7. Week |
Combinations of series |
8. Week |
Comparisons of series, changing indexes |
9. Week |
Nonnegative series, integral tests |
10. Week |
Comparison tests, limit comparison test, the ratio test |
11. Week |
The root test, alternating series |
12. Week |
Absolute convergence, conditional convergence, Weierstrass M test |
13. Week |
Power series, differantiation theorem for power series |
14. Week |
Bessel and hipergometric functions and several valued functions |