Detailed lecture schedule for Math 2630, Fall 2025

Math 2630: Week 1

8/18
Sections (§12.1-4). Notes.
Distance, equations of lines and planes, conic sections (§12.5-12.6). Notes.

Math 2630: Week 2

8/25
Vector functions and derivatives, space curves (§13.1-13.2). Notes.
Arc length, curvature, acceleration (§13.3-4). Notes.

Math 2630: Week 3

9/1
Labor Day, no lecture 9/1 or 9/2.
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
Tangent plane and linear approximation(§14.4). Notes.

Math 2630: Week 5

9/15
Chain rule (§14.5) and review for Test 1 Notes.
Lecture (optional) T1 Practice Problems Evening 9/18 Test 1: Covers 12.1-14.4.

Math 2630: Week 6

9/22
The gradient (§14.6) and overview of optimization. Notes.
Local min and max (§14.7). Notes.

Math 2630: Week 7

9/29
Constrained min/max (§14.8). Notes.
Intro to multiple integrals (§15.1 and §15.2). Notes.

Math 2630: Week 8

10/6
Double integrals in polar (§15.3) Notes.
Fall break, no lectures 10/8 or 10/9.

Math 2630: Week 9

10/13
Surface area (§15.5) Notes.
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
Change of variables (§15.9) Notes.
Vector fields, line integrals (§16.1-16.2). Notes.

Math 2630: Week 12

11/3
Fundamental theorem of line integrals, work (§16.3). Notes.
Green's Theorem (§16.4) Notes.

Math 2630: Week 13

11/10
Curl and Divergence (§16.5) Notes.
Area and integration on surfaces (§16.6) Notes.

Math 2630: Week 14

11/17
Surface integrals of vector fields (§16.7). Notes.
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
Stokes Theorem (§16.8). Notes.
Divergence Theorem (§16.9). Notes.
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.
Final Exam: date/place TBA

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