MAT 371: Advanced Calculus I
Spring 2019
| Class Time |
Tu,Th 1:30pm – 2:45pm |
| Class Location |
Tempe – WXLRA 108 |
| Instructor |
Sébastien Motsch |
| Office |
WXLRA 836 |
| Email |
smotsch@asu[dot]edu |
| Office Hours |
Wed 9:30am – 10:30am, Th 3:00pm – 4:00pm, |
| 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 first mid-term will be held Thursday Feb. 14. The second mid-term will be announced later. The final will be on Thursday May 2nd (12:10-2:00).
Class Schedule
| Jan 8 – 10 |
Presentation course – real numbers (chap. 1.1-1.2) |
| Jan 15 – 17 |
Completeness, cardinality (chap. 1.3-1.5) |
| Jan 22 – 24 |
Cantor’s theorem, sequences (chap. 1.6, 2.1-2.2) |
| Jan 29 – 31 |
Sequences, Monotone convergence (chap. 2.2-2.5) |
| Feb 05 – 07 |
Cauchy criteria, Series (chap. 2.6-2.8) |
| Feb 12 – 14 |
Revision (solution practice mid-term 1), Mid-term 1 (solution) |
| Feb 19 – 21 |
Open, closed sets (chap. 3.1-3.3) |
| Feb 26 – 28 |
Connected sets, Baire theorem (chap. 3.4-3.5) |
Class homework
| Jan 15 |
chap 1.2: 3, 4, 5, 7, 8, 9, solution |
| Jan 22 |
chap 1.3: 8,9, 11, chap 1.4: 3,4, chap 1.5: 4,5, (extra 9), solution |
| Jan 29 |
chap 1.6: 3, 4, (extra 9), chap 2.2: 1, 2, 4, 5, solution |
| Feb 5 |
chap 2.2: 7, chap 2.3: 2, 3, 5, 9, 11, chap 2.4: 1, solution |
| Feb 12 |
chap 2.5: 1, 5, chap 2.6: 2, 4, chap 2.7: 2, solution |
| Feb 26 |
chap 3.2: 2, 3, 6, 8, 11, 14, chap 3.3: 2 |
| Mar 12 |
chap 3.3.: 4, 8, chap 3.4: 1, 7, chap 3.5: 5, 9, chap 4.2: 2 |