Lectures for Mathematics 202 F02, Fall 2025-26
- M 9/1: Labor Day holiday
- T 9/2: Overview
- W 9/3: 2.1-Euclidean space algebra,
start 2.2-Euclidean space geometry
- F 9/5: Finish 2.2-Euclidean space geometry,
go over homework
(2.1, 2.2 exercises due)
- M 9/8: Start 2.3-Euclidean space analysis
- T 9/9: Finish 2.3-Euclidean space analysis,
go over homework
(2.2, 2.3 exercises due),
- W 9/10: 3.10-Cross product, lines and planes in 3-space
- F 9/12: (Chapter 2 quiz out)
Go over homework
(2.3, 3.10 exercises due)
- M 9/15: [Add/section-change
deadline]
(Chapter 2 quiz due)
4.1-Symbol-pattern breakown, start 4.2-Bachmann-Landau scheme,
- T 9/16: Finish 4.2-Bachmann-Landau scheme
- W 9/17: 4.3-Definition of multivariable derivative, start
4.4-Basic results and the chain rule,
go over homework
(4.2 exercises due),
- F 9/19: Finish 4.4-Basic results and the chain rule,
go over homework
(4.3 exercises due)
- M 9/22: 4.5-Calculating the derivative: necessity
- T 9/23: 4.5-State the sufficiency theorem, chain rule in coordinates
(4.4, some 4.5 exercises due)
- W 9/24: 4.5-Example of chain rule in coordinates, skim homework,
4-6-Interpretation of mixed partial derivatives, state equality of mixed
partial derivatives
- F 9/26: 4.6-Higher-order derivatives,
go over homework
(rest of 4.5 exercises due)
- M 9/29: 4.6-polar Laplacian, start 4.7-Extreme values,
- T 9/30: Finish 4.7-Extreme values
- W 10/1: Go over homework
(4.6 exercises due),
start 4.8-Directional derivatives and the gradient
- F 10/3: Finish 4.8-Directional derivatives and the gradient
- M 10/6: Go over homework
(4.7 exercises due),
start Lagrange multiplier optimization (examples from Math 111 notes)
- T 10/7: [No-W drop deadline]
More Lagrange multiplier optimization
- W 10/8: Go over homework
(4.8 exercises due)
- F 10/10: 6.1 and 6.2-Definition of the multivariable integral, a
continuous function on a box is integrable
- M 10/13: Go over homework
(5.4 exercises due),
a nearly continuous function on a box is integrable
(Chapter 4 quiz out)
- T 10/14: Start 6.6-Fubini's theorem
(Chapter 4 quiz due)
- W 10/15: Finish 6.6-Fubini's theorem
- F 10/17: Go over homework
(6.1, 6.5 exercises due),
start 6.7-Change of variable theorem
- Fall break week
- M 10/27: Go over homework
(6.6 exercises due),
more 6.7-Change of variable theorem
- T 10/28: Finish 6.70-Change of variable
- W 10/29: Go over homework
(6.6 exercises due)
- F 10/31: 6.4-Integration of functions of one variable
- M 11/3: Go over homework
(6.7 exercises due)
- T 11/4: 9.1-Definition of k-surface in n-space,
9.3-Differential forms syntactically and operationally
- W 11/5: 9.4-One-forms, start 9.5-Two-forms
- F 11/7: Go over homework
(6.7 exercises due)
- M 11/10: Go over homework
(9.3, 9.4 exercises due),
finish 9.5-Two-forms,
(Chapter 6 quiz out)
- T 11/11: [No-W drop deadline,
withdraw/leave deadline]
9.6-Basic properties,
9.7-Multiplication
(Chapter 6 quiz due)
- W 11/12: 9.8-Differentiation of differential forms (worksheet)
- F 11/14: Go over homework
(9.5 exercises due), start 9.9-Pullback
- M 11/17: Go over homework
(9.7 exercises due), more 9.9-Pullback
- T 11/18: 9.9-Pullback of differential forms
- W 11/19: Finish 9.9-Pullback, 9.10-Change of variable for differential forms
- F 11/21: Go over homework
(9.8 exercises due)
- M 11/24: Go over homework
(9.9, 9.10 exercises due),
9.12-Cubes and chains, start 9.13-Boundary
- T 11/25: 9.13-Boundary
- W 11/26: 9.14-The general FTIC, 9.16-Green's theorems
- F 11/28: Thanksgiving holiday
- M 12/1: Go over homework
(9.13 exercises due), FTC examples
- T 12/2: Go over homework
(9.14 exercises due),
0.16-Stokes' and Gauss' theorems
- W 12/3: Maxwell's equations
- F 12/5: More Maxwell's equations
- M 12/8: Go over homework
(9.16 exercises due)
- T 12/9: No meeting
(college on Thursday schedule)
- W 12/10: (Chapter 9 quiz out, due 5pm Tue Dec 16)
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