Detailed lecture schedule for Math 2630, Fall 2025
Math 2630: Week 1
- 8/18
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Sections (§12.1-4). Notes.
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Distance, equations of lines and planes, conic sections (§12.5-12.6). Notes.
Math 2630: Week 2
- 8/25
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Vector functions and derivatives, space curves (§13.1-13.2). Notes.
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Arc length, curvature, acceleration (§13.3-4). Notes.
Math 2630: Week 3
- 9/1
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Labor Day, no lecture 9/1 or 9/2.
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Functions of several variables, limits, continuity (§14.1-2). Notes.
Math 2630: Week 4
- 9/8
- Partial derivatives (§14.3) Notes.
Last day to drop the course with nothing on transcript
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Tangent plane and linear approximation(§14.4). Notes.
Math 2630: Week 5
- 9/15
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Chain rule (§14.5) and review for Test 1 Notes.
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Lecture (optional) T1 Practice Problems Evening 9/18 Test 1: Covers 12.1-14.4.
Math 2630: Week 6
- 9/22
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The gradient (§14.6) and overview of optimization.
Notes.
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Local min and max (§14.7). Notes.
Math 2630: Week 7
- 9/29
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Constrained min/max (§14.8). Notes.
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Intro to multiple integrals (§15.1 and §15.2). Notes.
Math 2630: Week 8
- 10/6
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Double integrals in polar (§15.3) Notes.
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Fall break, no lectures 10/8 or 10/9.
Math 2630: Week 9
- 10/13
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Surface area (§15.5) Notes.
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Lecture (optional) Practice
Problems More practice Problems Evening 10/16 Test 2: Covers 14.5-15.5.
Math 2630: Week 10
- 10/20
- Triple Integrals (§15.6) Notes.
- Cylindrical and Spherical Coordinates (§15.7-15.8) Notes.
Math 2630: Week 11
- 10/27
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Change of variables (§15.9) Notes.
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Vector fields, line integrals (§16.1-16.2). Notes.
Math 2630: Week 12
- 11/3
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Fundamental theorem of line integrals, work (§16.3). Notes.
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Green's Theorem (§16.4) Notes.
Math 2630: Week 13
- 11/10
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Curl and Divergence (§16.5) Notes.
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Area and integration on surfaces (§16.6) Notes.
Math 2630: Week 14
- 11/17
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Surface integrals of vector fields (§16.7). Notes.
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Lecture (optional) T3 Practice Problems Evening 11/20 Test 3: Sections (§15.6-16.6)
Math 2630: Week 15
- 11/24
- Thanksgiving Break: eat lots of turkey (or for the vegetarians, lots of tofu)
Math 2630: Week 16
- 12/1
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Stokes Theorem (§16.8). Notes.
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Divergence Theorem (§16.9).
Notes.
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Non-testable: "who cares?" Application to Electricity and Magnetism: Divergence, Stokes, and Maxwell's Equations.
Notes.
Math 2630: Week 17
- 12/8
- Review for final (optional) date/place TBA
Notes.
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Final Exam: date/place TBA