Lectures for Mathematics 202, Spring 201819
 M 1/28: Overview
 T 1/29: 2.1Euclidean space algebra,
start 2.2Euclidean space geometry
(Optional preface exercises due)
 W 1/30: Finish 2.2Euclidean space geometry,
start 2.3Euclidean space analysis
 F 2/1: Finish 2.3Euclidean space analysis,
go over homework
(2.1, 2.2 exercises due)
 M 2/4: Start 2.4Euclidean space topology
 T 2/5: Go over homework
(2.2, 2.3 exercises due)
 W 2/6: 2.4Euclidean space topology, 3.5Introduce determinant properties
 F 2/8: [Add/sectionchange deadline]
Start 3.8Determinant and volume,
go over homework
(2.4 exercises due)
(Chapter 2 quiz out)
 M 2/11: Finish 3.8Determinant and volume, 3.9Determinant and
orientation, 3.10Cross product up to characterizing property
(Chapter 2 quiz due)
 T 2/12: Finish 3.10Cross product, lines and planes in 3space,
4.1Symbolpattern breakown, start 4.2BachmannLandau scheme
 W 2/13: More 4.2BachmannLandau scheme,
go over homework
(3.8, 3.9 exercises due),
 F 2/15: Finish 4.2BachmannLandau scheme, 4.3Definition of
multivariable derivative,
go over homework
(3.10 exercises due)
 M 2/18: Finish 4.3Definition of multivariable derivative, start
4.4Basic results and the chain rule
 T 2/19: Go over homework
(4.2, 4.3 exercises due),
4.5Calculating the derivative: necessity
 W 2/20: Review, geometry of the derivative,
4.5Calculating the derivative: sufficiency,
 F 2/22: Go over homework
(4.4, some 4.5 exercises due),
4.5Calculating the derivative: example, chain rule in coordinates
 M 2/25: 4.5Chain rule in coordinates, start 4.6Higherorder derivatives
 T 2/26: Go over homework
(rest of 4.5 exercises, some 4.6 exercises
due), finish 4.6Higherorder derivatives
 W 2/27: 4.7Extreme values
 F 3/1: Go over homework
(rest of 4.6 exercises due),
finish 4.7Extreme values
 M 3/4: [NoW drop deadline]
Start 4.8Directional derivative and gradient
 T 3/5: Go over homework
(4.7 exercises due), finish
4.8Directional derivative and gradient
 W 3/6: Summary remarks on chapter 4, 6.1Integration machinery
 F 3/8: Go over homework
(4.8 exercises due),
6.2Definition of the integral
(Chapter 4 quiz out)
 M 3/11: 6.3Continuity and integrability
(Chapter 4 quiz due)
 T 3/12: Finish 6.3Continuity and integrability
 W 3/13: Go over homework
(6.1, 6.2 exercises due),
skim 6.5Integration over nonboxes
 F 3/15: Go over homework
(6.2, 6.3 exercises due),
continue skimming 6.5Integration over nonboxes
(Chapter 6a quiz out)
 M 3/18: 6.6Fubini's theorem
(Chapter 6a quiz due)
 T 3/19: 6.6Fubini's theorem
 W 3/20: Go over homework
(6.3, 6.5 exercises due)
 F 3/22: Go over homework
(6.6 exercises due)
 Spring break week
 M 4/1: 6.7Change of variable theorem
 T 4/2: Go over homework
(6.6 exercises due)
 W 4/3: 6.7Change of variable theorem
 Th 4/4: OPTIONAL
first of four lectures on chapter 5Inverse function theorem,
implicit function theorem, Lagrange multiplier method
 F 4/5: Go over homework
(6.7 exercises due)
 M 4/8: [Withdraw/leave deadline]
9.1Definition of ksurface in nspace,
9.3Differential forms syntactically and operationally, start 9.4oneforms
 T 4/9: Go over homework
(6.7 exercises due)
 W 4/10: More 9.4oneforms, 9.5twoforms, 9.6basic properties,
9.7multiplication
 Th 4/11: OPTIONAL
second of four lectures on chapter 5
 F 4/12: Go over homework
(9.3, 9.4 exercises due)
(Chapter 6b quiz out)
 M 4/15: More 9.7 multiplication, 9.8differentiation of
differential forms
(Chapter 6b quiz due)
 T 4/16: 9.9Pullback of differential forms
 W 4/17: Go over homework
(9.5, 9.7 exercises due)
 Th 4/18: OPTIONAL
third of four lectures on chapter 5
 F 4/19: Go over homework
(9.8 exercises due), more 9.9pullback
 M 4/22: 9.10Change of variable for differential forms, 9.12Cubes
and chains
 T 4/23: Go over homework
(9.9, 9.10 exercises due)
 W 4/24: 9.13The boundary operator
 Th 4/25: OPTIONAL
fourth of four lectures on chapter 5
 F 4/26: Go over homework
(9.13 exercises due)
 M 4/29: 9.14The general FTIC, 9.16Green's theorem
 T 4/30: Go over homework, 916Stokes's,
Gauss's theorems
(9.14 exercises due)
 W 5/1: 9.11Closed forms, exact forms, and homotopy
 F 5/3: Go over homework
(9.16 exercises due),
course evaluations
(Chapter 9 quiz out, due Wednesday May 8)
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