Lectures for Mathematics 202, Fall 2020-21

  • M 8/31: Overview
  • T 9/1: 2.1-Euclidean space algebra, 2.2-Euclidean space geometry
  • W 9/2: 2.2-Euclidean space geometry, 2.3-Euclidean space analysis (Optional preface exercises due)
  • F 9/4: 2.3-Euclidean space analysis, go over homework (2.1, 2.2 exercises due)

  • M 9/7: Labor Day holiday
  • T 9/8: Go over homework (2.2, 2.3 exercises due), 2.4-Euclidean space topology
  • W 9/9: 2.4-Euclidean space topology
  • F 9/11: [Add/section-change deadline] Go over homework (2.4 exercises due) (Chapter 2 quiz out)

  • M 9/14: 3.5-Determinant properties, their consequences (Chapter 2 quiz due)
  • T 9/15: 3.8-Determinant and volume, 3.9-Determinant and orientation
  • W 9/16: 3.10-Cross product (3.8, 3.9 exercises won't be collected)
  • F 9/18: Go over homework (3.10 exercises due), 4.1-Symbol-pattern breakown, start 4.2-Bachmann-Landau scheme

  • M 9/21: 4.2-Bachmann-Landau scheme
  • T 9/22: Go over homework (4.2 exercises due), 4.3-Definition of multivariable derivative, start 4.4-Basic results
  • W 9/23: Finish 4.4-Basic results, chain rule
  • F 9/25: Go over homework (4.3, 4.4 exercises due)

  • M 9/28: 4.5-Calculating the derivative: necessity theorem, chain rule in coordinates, preview sufficiency theorem
  • T 9/29: Go over homework (4.5 exercises due), 4.5-Sufficiency theorem
  • W 9/30: 4.6-Higher-order derivatives
  • F 10/2: Go over homework (4.6 exercises due)

  • M 10/5: [No-W drop deadline] 4.7-Extreme values
  • T 10/6: Finish 4.7-Extreme values, start 4.8-Directional derivative and gradient
  • W 10/7: Go over homework (4.7 exercises due), finish 4.8-Directional derivative and gradient
  • F 10/9: Go over homework (4.8 exercises due) (Chapter 4 quiz out)

  • M 10/12: 6.1-Integration machinery, 6.2-Definition of the integral (Chapter 4 quiz due)
  • T 10/13: Start 6.3-Continuity and integrability
  • W 10/14: Go over homework (6.1, 6.2 exercises due), finish 6.3-Continuity and integrability
  • Th 10/15: OPTIONAL lecture on section 6.4: one-variable integration revisited
  • F 10/16: Go over homework (6.2, 6.3 exercises due)

  • M 10/19: 6.5-Integration over nonboxes
  • T 10/20: Go over homework (6.3, 6.5 exercises due)
  • W 10/21: 6.6-Fubini's theorem
  • Th 10/22: OPTIONAL lecture on chapter 5
  • F 10/23: 6.7-Fubini's theorem Go over homework (6.6 exercises due) (Chapter 6a quiz out)

  • M 10/26: 6.7-Change of variable theorem (Chapter 6a quiz due)
  • T 10/27: 6.7-Change of variable theorem
  • W 10/28: Go over homework (6.6 exercises due)
  • Th 10/29: OPTIONAL lecture on chapter 5
  • F 10/30: Go over homework (6.7 exercises due)

  • M 11/2: [Withdraw/leave deadline] 9.1-Definition of k-surface in n-space, 9.3-Differential forms syntactically and operationally
  • T 11/3: Go over homework (6.7 exercises due)
  • W 11/4: 9.4-One-forms, 9.5-Two-forms
  • Th 11/5: OPTIONAL lecture on chapter 5
  • F 11/6: Go over homework (9.3, 9.4 exercises due), 9.6-Basic properties, 9.7-multiplication (Chapter 6b quiz out)

  • M 11/9: 9.8-Differentiation of differential forms, start 9.9-Pullback of differential forms (Chapter 6b quiz due)
  • T 11/10: More 9.9-Pullback of differential forms
  • W 11/11: Go over homework (9.5, 9.7 exercises due), finish 9.9-Pullback of differential forms
  • Th 11/2:1 OPTIONAL lecture on chapter 5
  • F 11/13: Go over homework (9.8 exercises due), 9.10-Change of variable for differential forms

  • M 11/16: 9.12-Cubes and chains, 9.13-The boundary operator
  • T 11/17: Go over homework (9.9, 9.10 exercises due)
  • W 11/18: 9.14-The general FTIC, 9.16-Green's theorem
  • F 11/20: Go over homework (9.13 exercises due)

    Thanksgiving Holiday

  • M 11/30: 9-16-Stokes's, Gauss's theorems, start Maxwell's equations
  • T 12/1: Go over homework (9.14 exercises due), finish Maxwell's equations
  • W 12/2: 9.11-Closed forms, exact forms, and homotopy
  • F 12/4: Go over homework (9.16 exercises due)

  • M 12/7: Discuss 9.11 exercises, course evaluations (Chapter 9 quiz out, due Tuesday 12/15 noon

Assignments | Solutions (at a Google drive) | Text (Springer through Reed proxy) | Back to my home page