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 held Thursday Mar. 28. 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)
Mar 5 – 7 Continuous functions (chap. 4.2-4.3)
Mar 12 – 14 Continuity and compact sets (chap. 4.4)
Mar 19 – 21 Continuity and connected sets (chap. 4.5)
Mar 26 – 28 Revision (solution practice mid-term 2), Mid-term 2 (solution)
Apr 02 – 04 Derivatives (chap. 5.2-5.3)
Apr 09 – 11 Limit sequence of functions (chap. 6.2-6.4)
Apr 16 – 18 Power series, Integral (chap. 6.5-6.6, 7.2)

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, solution
Mar 12 chap 3.3.: 4, 8, chap 3.4: 1, 7, chap 3.5: 5, 9, chap 4.2: 2, solution
Mar 21 chap 4.2.: 5, 9, chap 4.3: 6, 9, solution
Apr 9 chap 5.2.: 2, 5, 6, chap 5.3: 1, 2, 6, 7, solution
Apr 16 chapter 6.2: 1, 3, 9, chapter 6.3: 1, 2, 3, chapter 6.4: 2, solution
Apr 23 chap. 6.5: 2, 4, 7, 8, chap. 6.6: 2, 7, chap. 7.2: 2 solution