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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