Lectures for Mathematics 202, Spring 202021
 M 1/25: Overview
 T 1/26: 2.1Euclidean space algebra,
start 2.2Euclidean space geometry
(Optional preface exercises due)
 W 1/27: Finish 2.2Euclidean space geometry,
start 2.3Euclidean space analysis
 F 1/29: Finish 2.3Euclidean space analysis,
go over homework
(2.1, 2.2 exercises due)
 M 2/1: Start 2.4Euclidean space topology
 T 2/2: Go over homework
(2.2, 2.3 exercises due),
preview rest of 2.4
 W 2/3: Finish 2.4Euclidean space topology,
skim 3.10Cross product
 F 2/5: [Add/sectionchange deadline]
3.10 Pointtoplane, pointtoline distances,
4.1Symbolpattern breakown,
go over homework
(2.4 exercises due)
(Chapter 2 quiz out)
 M 2/8: Start 4.2BachmannLandau scheme
(Chapter 2 quiz due)
 T 2/9: Finish 4.2BachmannLandau scheme,
4.3Definition of multivariable derivative
 W 2/10: Start 4.4Basic results and the chain rule,
go over homework
(4.2 exercises due)
 F 2/12: Finish 4.4Basic results and the chain rule,
4.5Calculating the derivative: necessity,
go over homework
(4.3 exercises due)
 M 2/15: 4.5Review the necessity theorem,
prove the sufficiency theorem, examples
 T 2/16: 4.5Chain rule in coordinates,
go over homework
(4.4, some 4.5 exercises due)
 W 2/17: 4.6Higherorder derivatives: equality of mixed partial
derivatives, polar Laplacian
 F 2/19: Start 4.7Extreme values,
go over homework
(rest of 4.5 exercises due)
 M 2/22: Finish 4.7Extreme values
 T 2/23: Go over homework
(4.6 exercises due),
start 4.8Directional derivatives and the gradient
 W 2/24: Finish 4.8Directional derivatives and the gradient
 F 2/26: Go over homework
(4.7 exercises due),
start 6.1Integration machinery
 M 3/1: Finish 6.1Integration machinery,
6.2 Definition of the integral
 T 3/2: Go over homework
(4.8 exercises due),
start 6.3Continuity and integrability
 W 3/3: Finish 6.3Continuity and integrability
 F 3/5: Go over homework
(6.1, 6.2 exercises due),
Start 6.4Review of onevariable integration
(Chapter 4 quiz out)
 M 3/8: Finish 6.4Review of onevariable integration,
start 6.5Integration over nonboxes
(Chapter 4 quiz due)
 T 3/9: Finish 6.5Integration over nonboxes,
start 6.6Fubini's theorem
 Th 3/11: Go over homework
(6.2, 6.3 exercises due),
more 6.6Fubini's theorem
 F 3/12: Go over homework
(6.3, 6.5 exercises due),
more 6.6Fubini's theorem
(Chapter 6a quiz out)
 M 3/15: Start 6.7Change of variable theorem
(Chapter 6a quiz due)
 T 3/16: Finish 6.7Change of variable theorem
 W 3/17: Go over homework
(6.6 exercises due)
 F 3/19: Go over homework
(6.6 exercises due)
 M 3/22: 9.1Definition of ksurface in nspace,
9.3Differential forms syntactically and operationally
 T 3/23: Go over homework
(6.7 exercises due)
 W 3/24: 9.4Oneforms,
start 9.5Twoforms
 Th 3/25: OPTIONAL
first of four lectures on chapter 5Inverse function theorem,
implicit function theorem, Lagrange multiplier method
 F 3/26: Go over homework
(6.7 exercises due)
 M 3/29: [NoW drop deadline,
withdraw/leave deadline]
Finish 9.5Twoforms,
9.6Basic properties,
9.7Multiplication
 T 3/30: Go over homework
(9.3, 9.4 exercises due)
 W 3/31: 9.8Differentiation of differential forms, start 9.9Pullback
 Th 4/1: OPTIONAL
second of four lectures on chapter 5
 F 4/2: Go over homework
(9.5 exercises due)
(Chapter 6b quiz out)
 M 4/5:
(Chapter 6b quiz due)
 T 4/6: Start 9.9Pullback of differential forms
 W 4/7: Go over homework
(9.7 exercises due)
 Th 4/8: OPTIONAL
third of four lectures on chapter 5
 F 4/9: Go over homework
(9.8 exercises due), more 9.9Pullback
 Spring break week
 M 4/19: 9.10Change of variable for differential forms, 9.12Cubes
and chains, start 9.13Boundary
 T 4/20: Go over homework
(9.9, 9.10 exercises due), more 9.13Boundary
 W 4/21: 9.14The general FTIC, 9.16Green's theorem
 Th 4/22: OPTIONAL
fourth of four lectures on chapter 5
 F 4/23: Go over homework
(9.13 exercises due), 9.16Stokes's and
Gauss's theorems
 M 4/26:9.11Closed forms, exact forms, and homotopy
 T 4/27: Go over homework
(9.14 exercises due), FTC examples,
course evaluations
 W 4/28: Maxwell's equations
 F 4/30: Go over homework
(9.16 exercises due)
(Chapter 9 quiz out, due 5pm Wed May 5)
Assignments

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