Lectures for Mathematics 202, Fall 2023-24

M 8/28: Overview
T 8/39: 2.1-Euclidean space algebra, 2.2-Euclidean space geometry (Optional preface exercises due)
W 8/30: 2.2-Euclidean space geometry, start 2.3-Euclidean space analysis,
F 9/1: More 2.3-Euclidean space analysis (2.1, 2.2 exercises due)
M 9/4: Labor Day Holiday
T 9/5: Go over homework (2.2, 2.3 exercises due), 2.4-Euclidean space topology
W 9/6: 2.4-Euclidean space topology
F 9/8: [Add/section-change deadline] Go over homework (2.3, 2.4 exercises due) (Chapter 2 quiz out)
M 9/11: 3.8-Determinant and volume, 3.9-Determinant and orientation (Chapter 2 quiz due at classtime)
T 9/12: 3.10-Cross product, lines and planes in 3-space
W 9/13: 4.1-Symbol-pattern breakown, start 4.2-Bachmann-Landau scheme (3.8, 3.9 exercises won't be collected)
F 9/15: Go over homework (3.10 exercises due), more 4.2-Bachmann-Landau scheme
M 9/18: 4.3-Definition of multivariable derivative, start 4.4-Basic results
T 9/19: Go over homework (4.2 exercises due), more 4.4-Basic results, normalized chain rule
W 9/20: 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 9/22: 4.5-Necessity theorem, chain rule in coordinates, go over homework (4.3, 4.4 exercises due)
M 9/25: 4.5-Chain rule in coordinates, sufficiency theorem
T 9/26: Go over homework (4.5 exercises due), 4.6-Higher-order derivatives, polar Laplacian
W 9/27: Start 4.7-Extreme values
F 9/29: Go over homework (4.6 exercises due)
M 10/2: [No-W drop deadline] Finish 4.7-Extreme values, start 4.8-Directional derivative and gradient
T 10/3: More 4.8-Directional derivative and gradient, go over homework (4.7 exercises due)
W 10/4: Finish 4.8-Directional derivative and gradient, preview quiz
F 10/6: Start 6.1-Integration machinery Go over homework (4.8 exercises due) (Chapter 4 quiz out)
M 10/9: Finish 6.1-Integration machinery, 6.2-Definition of the integral, start 6.3-Continuity and integrability (Chapter 4 quiz due at classtime)
T 10/10: Finish 6.3-Continuity and integrability
W 10/11: Go over homework (6.1, 6.2 exercises due), 6.4-Integration of functions of one variable
F 10/13: Go over homework (6.2, 6.3 exercises due)
Fall break week
M 10/23: 6.5-Integration over nonboxes
T 10/24: Go over homework (6.3, 6.5 exercises due)
W 10/25: 6.6-Fubini's theorem
F 10/27: 6.7-Fubini's theorem Go over homework (6.6 exercises due) (Chapter 6a quiz out)
M 10/30: 6.7-Change of variable theorem (Chapter 6a quiz due at classtime)
T 10/31: 6.7-Change of variable theorem
W 11/1: Go over homework (6.6 exercises due)
F 11/3: Go over homework (6.7 exercises due), 9.1-Definition of k-surface in n-space
M 11/6: [Withdraw/leave deadline] 9.3-Differential forms syntactically and operationally, start 9-4-One-forms
T 11/7: Go over homework (6.7 exercises due)
W 11/8: Finish 9.4-One-forms, 9.5-Two-forms
F 11/10: Go over homework (9.3, 9.4 exercises due), 9.6-Basic properties, 9.7-multiplication (Chapter 6b quiz out)
M 11/13: 9.8-Differentiation of differential forms, start 9.9-Pullback of differential forms (Chapter 6b quiz due at classtime)
T 11/14: More 9.9-Pullback of differential forms
W 11/15: Go over homework (9.5, 9.7 exercises due), finish 9.9-Pullback of differential forms
F 11/17: Go over homework (9.8 exercises due), 9.10-Change of variable for differential forms
M 11/20: 9.11-Closed forms, exact forms, and homotopy
T 11/21: 9.12-Cubes and chains, 9.13-The boundary operator
W 11/22: 9.14-Small general FTIC example, go over homework (9.9, 9.10 exercises due)
F 11/24: Thanksgiving Holiday
M 11/27: 9.14-The general FTIC, 9.16-Green's theorem
T 11/28: Go over homework (9.13 exercises due), 9.16-state Stokes' and Gauss' theorems
W 11/29: 9-16-Examples of Stokes', Gauss' theorems, start Maxwell's equations
F 12/1: Go over homework (9.14 exercises due), finish Maxwell's equations
M 12/4: Discuss 9.11 exercises, course evaluations
T 12/5: No meeting (college on Thursday schedule)
W 12/6: Go over homework (9.16 exercises due) (Chapter 9 quiz out, due Tuesday 12/12 noon)

Back to my home page | Assignments | Solutions (at a Google drive) | Text (Springer through Reed proxy)