Parker Glynn-Adey

2016 — MAT 237

This page is not an official syllabus. The official MAT237 syllabus and course information documents are available here. The information provided below is to help you with the course. I’ve posted materials online so that you can have easy access to them. Please come to lecture and participate.

My availability for the course is:

Lecture Monday 10-13:00 LM 162
Office Hour 16-17:00 HU 1018
Lecture Wednesday 10-13:00 LM 162
Office Hour 16-17:00 HU 1018

High level overview:

  • Weeks 1-2: Topology
  • Weeks 3-4: Differentiation
  • Weeks 5-6: Applications of Multi-Variate Calculus

Week-by-week overview:

  • Week 1 (May 9 & 11)
    • Slides and references for Week 1a (Monday) are available here and Week 1b (Wednesday) are available here.
    • Introduction to MAT 237: course policies and overview of website
    • Review of set notation
    • How to do the readings
    • Vectors in \mathbb{R}^n
  • Week 2 (May 16 & 18)
    • Slides and references for Week 2a (Monday) are available here and Week 2b (Wednesday) are available here.
    • Sequences
    • Interior, boundary, closure
  • Week 3 (May 25)
    • This week only had one lecture because of Victoria Day.
    • Slides and references for Week 3a (Wednesday) are available here.
    • Compactness
    • Bolzano-Weierstrass and Heine-Borel
  • Week 4 (May 30 & June 1)
    • Problems for Week 4a (Monday) are available here and Week 4b (Wednesday) are available here.
    • Multivariate differential calculus
    • Curves in \mathbb R^n.
    • Differential of maps \mathbb R^k \rightarrow \mathbb R^\ell.
  • Week 5 (June 6 & 8)
    • Problems for Week 5a (Monday) are available here and Week 5b (Wednesday) are available here.
    • Mixed Partials and the Mean Value Theorem.
    • Taylor’s Theorem.

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