Text: The Elements of Real Analysis, by
Robert G. Bartle, Second Edition.
The number of
classroom hours to be spent on each topic is approximate.
|
Sec # |
Topic |
Class meetings |
|
27-28 |
The Mean Value Theorem and Applications |
4 |
|
29-30 |
Riemann-Stieltjes Integral |
12 |
|
32-33 |
Improper Integrals |
3 |
|
34-36 |
Infinite series |
5 |
|
37 |
Series of Functions |
3 |
|
39-40 |
The Derivative in Rn |
5 |
|
41 |
Mapping Theorems |
3 |
|
42 |
Extremum Problems |
3 |
Text: Real Analysis,
H. Royden, P. Fitzpatrick, 5-th Edition, Pearson.
The number of
classroom hours to be spent on each topic is approximate.
|
Sections |
Topic |
Class meetings |
|
9.1-9.3 |
General Measure Spaces |
3 |
|
10.1-10.5 |
Measures on Specific Spaces |
5 |
|
11.1-11.6 |
Integration |
6 |
|
!3.1-13.6 |
Metric Spaces |
5 |
|
14.1-14.3 |
Fundamental Theorems |
3 |
|
15.1-15.6 |
Topological
Spaces |
6 |
|
16.1-16.3 |
Fundamental Theorems |
4 |