Lectures for Mathematics 202, Fall 202021
 M 8/31: Overview
 T 9/1: 2.1Euclidean space algebra, 2.2Euclidean space geometry
 W 9/2: 2.2Euclidean space geometry, 2.3Euclidean space analysis
(Optional preface exercises due)
 F 9/4: 2.3Euclidean 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),
2.4Euclidean space topology
 W 9/9: 2.4Euclidean space topology
 F 9/11: [Add/sectionchange deadline]
Go over homework
(2.4 exercises due)
(Chapter 2 quiz out)
 M 9/14: 3.5Determinant properties, their consequences
(Chapter 2 quiz due)
 T 9/15: 3.8Determinant and volume, 3.9Determinant and orientation
 W 9/16: 3.10Cross product
(3.8, 3.9 exercises won't be collected)
 F 9/18: Go over homework
(3.10 exercises due), 4.1Symbolpattern
breakown, start 4.2BachmannLandau scheme
 M 9/21: 4.2BachmannLandau scheme
 T 9/22: Go over homework
(4.2 exercises due), 4.3Definition of
multivariable derivative, start 4.4Basic results
 W 9/23: Finish 4.4Basic results, chain rule
 F 9/25: Go over homework
(4.3, 4.4 exercises due)
 M 9/28: 4.5Calculating the derivative: necessity theorem, chain
rule in coordinates, preview sufficiency theorem
 T 9/29: Go over homework
(4.5 exercises due),
4.5Sufficiency theorem
 W 9/30: 4.6Higherorder derivatives
 F 10/2: Go over homework
(4.6 exercises due)
 M 10/5: [NoW drop deadline]
4.7Extreme values
 T 10/6: Finish 4.7Extreme values, start 4.8Directional
derivative and gradient
 W 10/7: Go over homework
(4.7 exercises due),
finish 4.8Directional derivative and gradient
 F 10/9: Go over homework
(4.8 exercises due)
(Chapter 4 quiz out)
 M 10/12: 6.1Integration machinery, 6.2Definition of the integral
(Chapter 4 quiz due)
 T 10/13: Start 6.3Continuity and integrability
 W 10/14: Go over homework
(6.1, 6.2 exercises due),
finish 6.3Continuity and integrability
 Th 10/15: OPTIONAL
lecture on section 6.4: onevariable integration revisited
 F 10/16: Go over homework
(6.2, 6.3 exercises due)
 M 10/19: 6.5Integration over nonboxes
 T 10/20: Go over
homework (6.3, 6.5 exercises
due)
 W 10/21: 6.6Fubini's theorem
 Th 10/22: OPTIONAL
lecture on chapter 5
 F 10/23: 6.7Fubini's theorem
Go over homework
(6.6 exercises due)
(Chapter 6a quiz out)
 M 10/26: 6.7Change of variable theorem
(Chapter 6a quiz due)
 T 10/27: 6.7Change 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]
9.1Definition of ksurface in nspace,
9.3Differential forms syntactically and operationally
 T 11/3: Go over homework
(6.7 exercises due)
 W 11/4: 9.4Oneforms, 9.5Twoforms
 Th 11/5: OPTIONAL
lecture on chapter 5
 F 11/6: Go over homework
(9.3, 9.4 exercises due),
9.6Basic properties, 9.7multiplication
(Chapter 6b quiz out)
 M 11/9: 9.8Differentiation of differential forms,
start 9.9Pullback of differential forms
(Chapter 6b quiz due)
 T 11/10: More 9.9Pullback of differential forms
 W 11/11: Go over homework
(9.5, 9.7 exercises due),
finish 9.9Pullback of differential forms
 Th 11/2:1 OPTIONAL
lecture on chapter 5
 F 11/13: Go over homework
(9.8 exercises due),
9.10Change of variable for differential forms
 M 11/16: 9.12Cubes and chains, 9.13The boundary operator
 T 11/17: Go over homework
(9.9, 9.10 exercises due)
 W 11/18: 9.14The general FTIC, 9.16Green's theorem
 F 11/20: Go over homework
(9.13 exercises due)
Thanksgiving Holiday
 M 11/30: 916Stokes'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: 9.11Closed 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)

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