MAT 371: Advanced Calculus I
Summer 2019
| Class Time | M-F 10:10am – 11:30pm |
| Class Location | Tempe – WXLRA 107 |
| Instructor | Sébastien Motsch |
| Office | WXLRA 836 |
| smotsch@asu[dot]edu | |
| Office Hours | M-F 11:30am – 12:30pm |
| Class webpage | www.seb-motsch.com/teaching |
Textbook
- Stephen Abbott, Understanding Analysis (2nd edition)
Course description
- set theory, topology (Chap. 1-3)
- functions (Chap. 4-5)
- series and integrale (Chap. 6-7)
The grading scale is:
- homework (25%)
- two mid-terms (40%)
- one final (35%)
Class Schedule
| Jul 3 – 5 | Real numbers, Completeness, cardinality (chap. 1.1-1.4) |
| Jul 8 – 9 | Completeness, cardinality, Cantor’s theorem (chap. 1.4-1.6) |
| Jul 10 – 12 | Sequences, monotone convergence (chap. 2.2-2.5) |
| Jul 15 – 18 | Cauchy criteria, series (chap. 2.6-2.7) |
Class homework
| Jul 8 | chap 1.2: 3, 4, 5, 7, 8, 9, solution |
| Jul 11 | chap 1.3: 8, 9, 11, chap 1.4: 3, chap 1.5: 4a-b, solution |
| Jul 15 | chap 2.2: 2, 4, 5, chap 2.3: 2 solution |
| Jul 18 | chap 2.3: 2, 3, 11, chap 2.4: 1, chap 2.5: 1, 5 |
| Jul 22 | chap 2.6: 2, 4, chap 2.7: 2, chap 3.2: 2 |