Lectures for Mathematics 202, Fall 2018-19

  • M 8/27: Overview
  • T 8/28: 2.1-Euclidean space algebra, 2.2-Euclidean space geometry (Optional preface exercises due)
  • W 8/29: 2.2-Euclidean space geometry, 2.3-Euclidean space analysis
  • F 8/31: 2.3-Euclidean space analysis, go over homework (2.1, 2.2 exercises due)

  • M 9/3: Labor Day Holiday
  • T 9/4: Go over homework (2.2, 2.3 exercises due), 2.4-Euclidean space topology
  • W 9/5: 2.4-Euclidean space topology
  • F 9/7: [Add/section-change deadline] Go over homework (2.4 exercises due) (Chapter 2 quiz out)

  • M 9/10: 3.5-Determinant properties, their consequences (Chapter 2 quiz due)
  • T 9/11: 3.8-Determinant and volume
  • W 9/12: 3.9-Determinant and orientation, 3.10-Cross product (3.5 exercises due)
  • F 9/14: 3.10-Cross product, go over homework (3.8, 3.9 exercises due)

  • M 9/17: 4.1-Symbol-pattern breakown, 4.2-Bachmann-Landau scheme
  • T 9/18: 4.2-Bachmann-Landau scheme, go over homework (3.10 exercises due)
  • W 9/19: 4.3-Definition of multivariable derivative, derivative of p(x,y)=xy,
  • F 9/21: Go over homework (4.2, 4.3 exercises due), 4.4-Basic results

  • M 9/24: 4.4-Chain rule, 4.5-Calculating the derivative: necessity theorem, chain rule in coordinates, preview sufficiency theorem
  • T 9/25: Go over homework (4.4, 4.5 exercises due), 4.5-Sufficiency theorem
  • W 9/26: 4.6-Higher-order derivatives
  • F 9/28: Go over homework (4.6 exercises due)

  • M 10/1: [No-W drop deadline] 4.7-Extreme values
  • T 10/2: Go over homework (4.7 exercises due)
  • W 10/3: 4.8-Directional derivative and gradient
  • F 10/5: Go over homework (4.8 exercises due) (Chapter 4 quiz out)

  • M 10/8: 6.1-Integration machinery, 6.2-Definition of the integral (Chapter 4 quiz due)
  • T 10/9: 6.3-Continuity and integrability
  • W 10/10: Go over homework (6.1, 6.2 exercises due), 6.3-Continuity and integrability
  • F 10/12: Go over homework (6.2, 6.3 exercises due)

  • Fall break week

  • M 10/22: 6.5-Integration over nonboxes
  • T 10/23: Go over homework (6.3, 6.5 exercises due)
  • W 10/24: 6.6-Fubini's theorem
  • Th 10/25: OPTIONAL lecture on chapter 5
  • F 10/26: 6.7-Fubini's theorem Go over homework (6.6 exercises due) (Chapter 6a quiz out)

  • M 10/29: 6.7-Change of variable theorem (Chapter 6a quiz due)
  • T 10/30: 6.7-Change of variable theorem
  • W 10/31: Go over homework (6.6 exercises due)
  • Th 11/1: OPTIONAL lecture on chapter 5
  • F 11/2: Go over homework (6.7 exercises due)

  • M 11/5: [Withdraw/leave deadline] 9.1-Definition of k-surface in n-space, 9.3-Differential forms syntactically and operationally
  • T 11/6: Go over homework (6.7 exercises due)
  • W 11/7: 9.4-One-forms, 9.5-Two-forms
  • Th 10/8: OPTIONAL lecture on chapter 5
  • F 11/9: Go over homework (9.3, 9.4 exercises due), 9.6-Basic properties (Chapter 6b quiz out)

  • M 11/12: 9.7-multiplication, 9.8-Differentiation of differential forms (Chapter 6b quiz due)
  • T 11/13: 9.9-Pullback of differential forms
  • W 11/14: Go over homework (9.5, 9.7 exercises due)
  • Th 11/15: OPTIONAL lecture on chapter 5
  • F 11/16: Go over homework (9.8 exercises due)

  • M 11/19: 9.9-Pullback of differential forms
  • T 11/20: 9.10-Change of variable for differential forms, 9.12-Cubes and chains
  • W 11/21: Go over homework (9.9, 9.10 exercises due)
  • F 11/23: Thanksgiving Holiday

  • M 11/26: 9.13-The boundary operator
  • T 11/27: Go over homework (9.13 exercises due)
  • W 11/28: 9.14-The general FTIC, 9.16-Green's theorem
  • Th 11/29: OPTIONAL lecture on 9.11-Closed forms, exact forms, and homotopy
  • F 11/30: Go over homework, 9-16-Stokes's, Gauss's theorems (9.14 exercises due)

  • M 12/3: Maxwell's equations
  • T 12/4: No meeting (college on Thursday schedule)
  • W 12/5: Go over homework (9.16 exercises due) Course evaluations (Chapter 9 quiz out, due Tuesday 12/11 noon Greywood 113)

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