Lectures for Mathematics 202 F01, Fall 2024-25
- M 9/2: Labor Day holiday
- T 9/3: Overview
- W 9/4: 2.1-Euclidean space algebra, 2.2-Euclidean space geometry
(Optional preface exercises due)
- F 9/6: 2.2-Euclidean space geometry, start 2.3-Euclidean space analysis,
(2.1, 2.2 exercises due)
- M 9/9: More 2.3-Euclidean space analysis
- T 9/10: Go over homework
(2.2, 2.3 exercises due),
2.4-Euclidean space topology
- W 9/11: 2.4-Euclidean space topology
- F 9/13: [Add/section-change deadline]
Go over homework
(2.3, 2.4 exercises due)
(Chapter 2 quiz out)
- M 9/16: 3.8-Determinant and volume, 3.9-Determinant and orientation
(Chapter 2 quiz due at classtime)
- T 9/17: 3.10-Cross product, lines and planes in 3-space
- W 9/18: 4.1-Symbol-pattern breakown, start 4.2-Bachmann-Landau scheme
(3.8, 3.9 exercises won't be collected)
- F 9/20: Go over homework
(3.10 exercises due), more
4.2-Bachmann-Landau scheme
- M 9/23: 4.3-Definition of multivariable derivative, start
4.4-Basic results
- T 9/24: Go over homework
(4.2 exercises due), more 4.4-Basic
results, normalized chain rule
- W 9/25: Finish 4.4-General Chain rule, product and quotient rules
for scalar-valued functions, start 4.5-Calculating the derivative:
define partial derivative, state the necessity theorem
- F 9/27: 4.5-Necessity theorem, chain rule in coordinates,
go over homework
(4.3, 4.4 exercises due)
- M 9/30: 4.5-Chain rule in coordinates, sufficiency theorem
- T 10/1: Go over homework
(4.5 exercises due),
4.6-Higher-order derivatives, polar Laplacian
- W 10/2: Start 4.7-Extreme values
- F 10/4: Go over homework
(4.6 exercises due)
- M 10/7: [No-W drop deadline]
Finish 4.7-Extreme values, start 4.8-Directional derivative and gradient
- T 10/8: More 4.8-Directional derivative and gradient,
go over homework
(4.7 exercises due)
- W 10/9: Finish 4.8-Directional derivative and gradient, preview quiz
- F 10/11: Start 6.1-Integration machinery
Go over homework
(4.8 exercises due)
(Chapter 4 quiz out)
- M 10/14: Finish 6.1-Integration machinery, 6.2-Definition of the
integral, start 6.3-Continuity and integrability
(Chapter 4 quiz due at classtime)
- T 10/15: Finish 6.3-Continuity and integrability
- W 10/16: Go over homework
(6.1, 6.2 exercises due),
6.4-Integration of functions of one variable
- F 10/18: Go over homework
(6.2, 6.3 exercises due)
- Fall break week
- M 10/28: 6.5-Integration over nonboxes
- T 10/29: Go over
homework (6.3, 6.5 exercises
due)
- W 10/30: 6.6-Fubini's theorem
- F 11/1: 6.7-Fubini's theorem
In-class scratchwork portion of chapter 6a quiz on
section 6.3, 25 minutes
(6.6 exercises due)
(Chapter 6a quiz out)
- M 11/4: 6.7-Change of variable theorem
(Chapter 6a quiz due at classtime)
- T 10/5: 6.7-Change of variable theorem
- W 11/6: Go over homework
(6.6 exercises due)
- F 11/8: Go over homework
(6.7 exercises due),
9.1-Definition of k-surface in n-space
- M 11/11: [Withdraw/leave deadline]
9.3-Differential forms syntactically and operationally, start 9-4-One-forms
- T 11/12: Go over homework
(6.7 exercises due)
- W 11/13: Finish 9.4-One-forms, 9.5-Two-forms
- F 11/15: Go over homework
(9.3, 9.4, 9.5 exercises due),
9.6-Basic properties, 9.7-multiplication
(Chapter 6b quiz out)
- M 11/18: 9.8-Differentiation of differential forms,
start 9.9-Pullback of differential forms
(Chapter 6b quiz due at classtime)
- T 11/19: More 9.9-Pullback of differential forms
- W 11/20: Go over homework
(9.5, 9.7 exercises due),
finish 9.9-Pullback of differential forms
- F 11/22: Go over homework
(9.8 exercises due),
9.10-Change of variable for differential forms
- M 11/25: 9.11-Closed forms, exact forms, and homotopy
- T 11/26: 9.12-Cubes and chains, 9.13-The boundary operator
- W 11/27: 9.14-Small general FTIC example, go
over homework (9.9, 9.10 exercises due)
- F 11/29: Thanksgiving holiday
- M 12/2: 9.14-The general FTIC, 9.16-Green's theorem
- T 12/3: Go over homework
(9.13 exercises due),
9.16-state Stokes' and Gauss' theorems
- W 12/4: 9-16-Examples of Stokes', Gauss' theorems, start
Maxwell's equations
- F 12/6: Go over homework
(9.14 exercises due),
finish Maxwell's equations
- M 12/9: Discuss 9.11 exercises, course evaluations
- T 12/10: No meeting
(college on Thursday schedule)
- W 12/11: Go over homework
(9.16 exercises due)
(Chapter 9 quiz out, due Tuesday 12/17 noon)
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