Lectures for Mathematics 202 S01, Spring 2024-25

M 1/27: Overview
T 1/28: 2.1-Euclidean space algebra, start 2.2-Euclidean space geometry (Optional preface exercises due)
W 1/29: Finish 2.2-Euclidean space geometry, start 2.3-Euclidean space analysis
F 1/31: Finish 2.3-Euclidean space analysis, go over homework (2.1, 2.2 exercises due)
M 2/3: Start 2.4-Euclidean space topology
T 2/4: Finish 2.4-Euclidean space topology, go over homework (2.2, 2.3 exercises due)
W 2/5: Skim 3.10-Cross product
F 2/7: [Add/section-change deadline] 3.10 Point-to-plane, point-to-line distances, 4.1-Symbol-pattern breakown, go over homework (2.4 exercises due) (Chapter 2 quiz out)
M 2/10: Start 4.2-Bachmann-Landau scheme (Chapter 2 quiz due)
T 2/11: Finish 4.2-Bachmann-Landau scheme, 4.3-Definition of multivariable derivative
W 2/12: Start 4.4-Basic results and the chain rule, go over homework (4.2 exercises due)
F 2/14: Finish 4.4-Basic results and the chain rule, 4.5-Calculating the derivative: necessity, go over homework (4.3 exercises due)
M 2/17: 4.5-Review the necessity theorem, prove the sufficiency theorem, examples
T 2/18: 4.5-Chain rule in coordinates, go over homework (4.4, some 4.5 exercises due)
W 2/19: 4.6-Higher-order derivatives: equality of mixed partial derivatives, polar Laplacian
F 2/21: Start 4.7-Extreme values, go over homework (rest of 4.5 exercises due)
M 2/24: Finish 4.7-Extreme values
T 2/25: Go over homework (4.6 exercises due), start 4.8-Directional derivatives and the gradient
W 2/26: Finish 4.8-Directional derivatives and the gradient
F 2/28: Go over homework (4.7 exercises due), start 6.1-Integration machinery
M 3/3: [No-W drop deadline] Finish 6.1-Integration machinery, 6.2 Definition of the integral
T 3/4: Start 6.3-Continuity and integrability
W 3/5: Go over homework (4.8 exercises due), finish 6.3-Continuity and integrability, start 6.4-Review of one-variable integration
F 3/7: Go over homework (6.1, 6.2 exercises due), Finish 6.4-Review of one-variable integration (Chapter 4 quiz out)
M 3/10: Start 6.5-Integration over nonboxes (Chapter 4 quiz due)
T 3/11: Finish 6.5-Integration over nonboxes, start 6.6-Fubini's theorem
W 3/12: Go over homework (6.2, 6.3 exercises due), more 6.6-Fubini's theorem
F 3/14: Go over homework (6.3, 6.5 exercises due), more 6.6-Fubini's theorem (Chapter 6a quiz out)
M 3/17: Start 6.7-Change of variable theorem (Chapter 6a quiz due)
T 3/18: Finish 6.7-Change of variable theorem
W 3/19: Go over homework (6.6 exercises due)
F 3/21: Go over homework (6.6 exercises due)
Spring break week
M 3/31: 9.1-Definition of k-surface in n-space, 9.3-Differential forms syntactically and operationally
T 4/1: 9.4-One-forms, start 9.5-Two-forms
W 4/2: Go over homework (6.7 exercises due)
F 4/4: Go over homework (6.7 exercises due) (Chapter 6b quiz out)
M 4/7: [No-W drop deadline, withdraw/leave deadline] Finish 9.5-Two-forms, 9.6-Basic properties, 9.7-Multiplication (Chapter 6b quiz due)
T 4/8: 9.8-Differentiation of differential forms, start 9.9-Pullback
W 4/9: Go over homework (9.3, 9.4 exercises due)
F 4/11: Go over homework (9.5 exercises due)
M 4/14: 9.9-Pullback of differential forms
T 4/15: 9.9-Pullback of differential forms
W 4/16: Go over homework (9.7 exercises due), 9.10-Change of variable for differential forms
F 4/18: Go over homework (9.8 exercises due), 9.12-Cubes and chains
M 4/21: Start 9.13-Boundary
T 4/22: Go over homework (9.9, 9.10 exercises due), more 9.13-Boundary
W 4/23: 9.14-The general FTIC, 9.16-Green's, Stokes's, and Gauss's theorems
F 4/25: Go over homework (9.13 exercises due), FTC examples
M 4/28: 9.11-Closed forms, exact forms, and homotopy
T 4/29: Go over homework (9.14 exercises due), start Maxwell's equations
W 4/30: More Maxwell's equations
F 5/2: Go over homework (9.16 exercises due) (Chapter 9 quiz out, due 5pm Wed May 7)

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