Teaching

MAT 371: Advanced Calculus I

Summer 2019

Class Time M-F 10:10am – 11:30pm
Class Location Tempe – WXLRA 107
Instructor S├ębastien Motsch
Office WXLRA 836
Email 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

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