Teaching

MAT 371: Advanced Calculus I

Spring 2019

Class Time Tu,Th 1:30pm – 2:45pm
Class Location Tempe – WXLRA 108
Instructor S├ębastien 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

  1. set theory, topology (Chap. 1-3)
  2. functions (Chap. 4-5)
  3. 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

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