Lectures for Mathematics 202, Spring 201718
 M 1/22: Overview
 T 1/23: 2.1Euclidean space algebra,
start 2.2Euclidean space geometry
(Optional preface exercises due)
 W 1/24: Finish 2.2Euclidean space geometry,
start 2.3Euclidean space analysis
 F 1/26: Finish 2.3Euclidean space analysis,
go over homework
(2.1, 2.2 exercises due)
 M 1/29: Start 2.4Euclidean space topology
 T 1/30: Go over homework
(2.2, 2.3 exercises due)
 W 1/31: 2.4Euclidean space topology, 3.5Introduce determinant properties
 F 2/2: [Add/sectionchange deadline]
go over homework,
3.5Consequences of the determinant properties
(2.4 exercises due)
 M 2/5: 3.5Consequences of the determinant properties
 T 2/6: 3.8Determinant and volume,
go over homework
(3.5 exercises due)
 W 2/7: 3.9Determinant and orientation, 3.10Cross product, rest
of section as time allows
 F 2/9: Go over homework
(3.8, 3.9 exercises due),
4.1Symbolpattern breakown, 4.2BachmannLandau scheme
(Chapter 2 quiz out)
 M 2/12: 4.2BachmannLandau scheme, 4.3Definition of
multivariable derivative
(Chapter 2 quiz due)
 T 2/13: Review 4.2 and 4.3, derivative of p(x,y)=xy,
go over homework
(3.10 exercises due)
 W 2/14: 4.4Basic results, chain rule, start 4.5Calculating the derivative
 F 2/16: Sample derivative calculation,
go over homework
(4.2, 4.3 exercises due),
preview derivative sufficiency theorem
 M 2/19: 4.5Calculating the derivative: sufficiency, chain rule in
coordinates
 T 2/20: Go over homework
(4.4, 4.5 exercises due)
 W 2/21: 4.6Higherorder derivatives
 F 2/23: Go over homework
(4.6 exercises due)
 M 2/26: [NoW drop deadline]
4.7Extreme values
 T 2/27: 4.8Directional derivative and gradient
 W 2/28: Go over homework
(4.7 exercises due)
 F 3/2: Go over homework
(4.8 exercises due)
(Chapter 4 quiz out)
 M 3/5: 6.1Integration machinery, 6.2Definition of the integral
(Chapter 4 quiz due)
 T 3/6: 6.3Continuity and integrability
 W 3/7: 6.3Continuity and integrability,
go over homework
(6.1, 6.2 exercises due)
 F 3/9: Skim 6.5Integration over nonboxes,
go over homework
(6.2, 6.3 exercises due)
 Spring break week
 M 3/19: 6.6Fubini's theorem
 T 3/20: Go over homework
(6.3, 6.5 exercises due)
 W 3/21: 6.6Fubini's theorem
 F 3/23: Go over homework
(6.6 exercises due)
(Chapter 6a quiz out)
 M 3/26: 6.7Change of variable theorem
(Chapter 6a quiz due)
 T 3/27: 6.7Change of variable theorem
 W 3/28: Go over homework
(6.6 exercises due)
 F 3/30: Go over homework
(6.7 exercises due)
 M 4/2: [Withdraw/leave deadline]
9.3Differential forms syntactically and operationally, start 9.4oneforms
 T 4/3: Go over homework
(6.7 exercises due)
 W 4/4: More 9.4oneforms, 9.5twoforms, 9.6basic properties,
9.7multiplication
 F 4/6: Go over homework
(9.3, 9.4 exercises due)
(Chapter 6b quiz out)
 M 4/9: More 9.7 multiplication, 9.8differentiation of
differential forms
(Chapter 6b quiz due)
 T 4/10: 9.9Pullback of differential forms
 W 4/11: Go over homework
(9.5, 9.7 exercises due)
 F 4/12: Go over homework
(9.8 exercises due), more 9.9pullback
 M 4/16: 9.10Change of variable for differential forms, 9.12Cubes
and chains
 T 4/17: Go over homework
(9.9, 9.10 exercises due)
 W 4/18: 9.13The boundary operator
 Th 4/19: OPTIONAL
lecture on 9.11Closed forms, exact forms, and homotopy
 F 4/20: Go over homework
(9.13 exercises due)
 M 4/23: 9.14The general FTIC, 9.16Green's theorem
 T 4/24: Go over homework, 916Stokes's,
Gauss's theorems
(9.14 exercises due)
 W 4/25: Optional extra lecture: 8.1Euclidean and nonEuclidean
constructions
 F 4/27: Go over homework
(9.16 exercises due)
Course evaluations
(Chapter 9 quiz out, due Wednesday)
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