Lectures for Mathematics 202, Fall 201819
 M 8/27: Overview
 T 8/28: 2.1Euclidean space algebra,
start 2.2Euclidean space geometry
(Optional preface exercises due)
 W 8/29: Finish 2.2Euclidean space geometry,
start 2.3Euclidean space analysis
 F 8/31: Finish 2.3Euclidean 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),
start 2.4Euclidean space topology
 W 9/5: 2.4Euclidean space topology
 F 9/7: [Add/sectionchange deadline]
Go over homework
(2.4 exercises due)
(Chapter 2 quiz out)
 M 9/10: 3.5Determinant properties, their consequences
(Chapter 2 quiz due)
 T 9/11: 3.8Determinant and volume
 W 9/12: 3.9Determinant and orientation, start 3.10Cross product
(3.5 exercises due)
 F 9/14: Finish 3.10Cross product, go over
homework
(3.8, 3.9 exercises due)
 M 9/17: 4.1Symbolpattern breakown, 4.2BachmannLandau scheme
 T 9/18: 4.2BachmannLandau scheme,
go over homework
(3.10 exercises due)
 W 9/19: 4.3Definition of multivariable derivative,
derivative of p(x,y)=xy,
 F 9/21: Go over homework
(4.2, 4.3 exercises due),
4.4Basic results
 M 9/24: 4.4Chain rule, 4.5Calculating the derivative: necessity
theorem, chain rule in coordinates, preview sufficiency theorem
 T 9/25: Go over homework
(4.4, 4.5 exercises due),
4.5Sufficiency theorem
 W 9/26: 4.6Higherorder derivatives
 F 9/28: Go over homework
(4.6 exercises due)
 M 10/1: [NoW drop deadline]
4.7Extreme values
 T 10/2: Go over homework
(4.7 exercises due)
 W 10/3: 4.8Directional derivative and gradient
 F 10/5: Go over homework
(4.8 exercises due)
(Chapter 4 quiz out)
 M 10/8: 6.1Integration machinery, 6.2Definition of the integral
(Chapter 4 quiz due)
 T 10/9: 6.3Continuity and integrability,
 W 10/10: 6.3Continuity and integrability
 Th 10/11: OPTIONAL
lecture on chapter 5
 F 10/12: Go over homework
(6.1, 6.2 exercises due)
 Fall break week
 M 10/22: Skim 6.5Integration over nonboxes,
go over homework
(6.2, 6.3 exercises due)
 T 10/23: 6.6Fubini's theorem
 W 10/24: Go over homework
(6.3, 6.5 exercises due)
 Th 10/25: OPTIONAL
lecture on chapter 5
 F 10/26: 6.6Fubini's theorem
(Chapter 6a quiz out)
 M 10/29: Go over homework
(6.6 exercises due)
(Chapter 6a quiz due)
 T 10/30: 6.7Change of variable theorem
 W 10/31: 6.7Change of variable theorem
 Th 11/1: OPTIONAL
lecture on chapter 5
 F 11/2: Go over homework
(6.6 exercises due)
 M 11/5: Go over homework
(6.7 exercises due)
 T 11/6: [Withdraw/leave deadline]
9.1Definition of ksurface in nspace,
9.3Differential forms syntactically and operationally, start 9.4oneforms
 W 11/7: Go over homework
(6.7 exercises due)
 Th 10/8: OPTIONAL
lecture on chapter 5
 F 11/9: More 9.4oneforms, 9.5twoforms, 9.6basic properties,
9.7multiplication
(Chapter 6b quiz out)
 M 11/12: Go over homework
(9.3, 9.4 exercises due)
(Chapter 6b quiz due)
 T 11/13: More 9.7 multiplication, 9.8differentiation of
differential forms
 W 11/14: 9.9Pullback of differential forms
 Th 11/22: OPTIONAL
lecture on 9.11Closed forms, exact forms, and homotopy
 F 11/16: Go over homework
(9.5, 9.7 exercises due)
 M 11/19: Go over homework
(9.8 exercises due), more 9.9pullback
 T 11/20: 9.10Change of variable for differential forms, 9.12Cubes
and chains
 W 11/21: Go over homework
(9.9, 9.10 exercises due)
 F 11/23: Thanksgiving Holiday
 M 11/26: 9.13The boundary operator
 T 11/27: Go over homework
(9.13 exercises due)
 W 11/28: 9.14The general FTIC, 9.16Green's theorem
 F 11/30: Go over homework, 916Stokes'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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