Tuesday, September 8 — Lecture 1: Coordinate Systems and Vectors.
Reading: OpenStax §2.1; Stewart §12.1–2.
Resources: lecture slides. Extra: Quadric Surfaces and Traces.
Section 3 Schedule
This is the proposed lecture-by-lecture schedule for Fall 2026. Topics, homework due dates, and exam coverage may change as the semester progresses; CourseWorks is the authoritative source for assignment and assessment deadlines.
University registration deadlines and the final-examination period below follow the University Registrar’s academic calendar.
Subsection 3.1 Important Dates
| Date | Event |
|---|---|
| Friday, September 18 | End of Change of Program period |
| Thursday, October 15 | Midterm Exam 1 |
| Tuesday, November 17 | Midterm Exam 2 |
| Thursday, November 19 | Last day to drop a class or elect Pass/Fail for SEAS students |
| Thursday, December 17–Wednesday, December 23 | University final-examination period; exact course final date and time to be announced |
Subsection 3.2 Vectors and Curves in Space
Thursday, September 10 — Lecture 2: Dot Product, Cross Product, and Projection.
Resources: lecture slides. Extra: Another Projection Example.
Due: Homework 0.
Tuesday, September 15 — Lecture 3: Equations of Lines and Planes.
Reading: OpenStax §2.5; Stewart §12.5.
Resources: lecture slides.
Due: Homework 1.
Thursday, September 17 — Lecture 4: Calculus of Space Curves.
Resources: lecture slides.
Tuesday, September 22 — Lecture 5: Motion, Velocity, and Acceleration.
Reading: OpenStax §3.4; Stewart §13.4.
Resources: lecture slides.
Due: Homework 2.
Thursday, September 24 — Lecture 6: Arc Length, Reparametrization, and Curvature.
Reading: OpenStax §3.3; Stewart §13.3.
Resources: lecture slides.
Subsection 3.3 Multivariable Differentiation
Tuesday, September 29 — Lecture 7: Functions of Several Variables and Continuity.
Resources: lecture slides.
Due: Homework 3.
Thursday, October 1 — Lecture 8: Partial Derivatives.
Reading: OpenStax §4.3; Stewart §14.3.
Resources: lecture slides. Extra: Limit Examples.
Tuesday, October 6 — Lecture 9: Tangent Planes and Linearization.
Reading: OpenStax §4.4; Stewart §14.4.
Resources: lecture slides.
Due: Homework 4.
Thursday, October 8 — Lecture 10: The Chain Rule.
Reading: OpenStax §4.5; Stewart §14.5.
Resources: lecture slides.
Tuesday, October 13 — Lecture 11: Directional Derivatives and the Gradient.
Reading: OpenStax §4.6; Stewart §14.6.
Resources: lecture slides.
Due: Homework 5.
Thursday, October 15 — Midterm Exam 1.
Coverage: Lectures 1–10, Homework 1–5, through Stewart §14.5. Extra: Exam 1 Sample.
Tuesday, October 20 — Lecture 12: Maximum and Minimum Values.
Reading: OpenStax §4.7; Stewart §14.7.
Resources: lecture slides. Extra: Unconstrained Example.
Due: Homework 6.
Thursday, October 22 — Lecture 13: Lagrange Multipliers.
Reading: OpenStax §4.8; Stewart §14.8.
Resources: lecture slides. Extra: Lagrange Example.
Subsection 3.4 Multiple Integration
Tuesday, October 27 — Lecture 14: Multiple and Iterated Integrals.
Resources: lecture slides. Extra: Polar Integral.
Due: Homework 7.
Thursday, October 29 — Lecture 15: Polar, Cylindrical, and Spherical Coordinates.
Reading: OpenStax §5.5; Stewart §15.6–8.
Resources: lecture slides.
Tuesday, November 3 — Election Day.
University holiday; no class.
Thursday, November 5 — Lecture 16: Applications and Integration Review.
Reading: OpenStax §5.6; Stewart §15.
Resources: lecture slides.
Due: Homework 8.
Subsection 3.5 Vector Calculus
Tuesday, November 10 — Lecture 17: Vector Fields and Line Integrals.
Resources: lecture slides. Extra: Velocity Fields.
Thursday, November 12 — Lecture 18: Conservative Fields, Work, and Energy.
Reading: OpenStax §6.3; Stewart §16.3.
Resources: lecture slides. Extra: Potential Functions.
Due: Homework 9.
Tuesday, November 17 — Midterm Exam 2.
Coverage: Lectures 11–17 and Homework 6–8. Extra: Exam 2 Sample.
Thursday, November 19 — Lecture 19: Green’s Theorem.
Reading: OpenStax §6.4; Stewart §16.4.
Resources: lecture slides. Extra: Work Integrals.
Tuesday, November 24 — Lecture 20: Parametric Surfaces and Areas.
Reading: OpenStax §6.6; Stewart §16.6.
Resources: lecture slides.
Due: Homework 10.
Thursday, November 26 — Thanksgiving.
University holiday; no class.
Tuesday, December 1 — Lecture 21: Flux, Curl, and Divergence.
Resources: lecture slides. Extra: Winding Number.
Thursday, December 3 — Lecture 22: Stokes’ Theorem.
Reading: OpenStax §6.7; Stewart §16.8.
Resources: lecture slides. Extra: Parametric Surfaces.
Due: Homework 11.
Tuesday, December 8 — Lecture 23: The Divergence Theorem.
Reading: OpenStax §6.8; Stewart §16.9.
Resources: lecture slides. Extra: Green’s Theorem and the Divergence Theorem.
Due: Homework 12.
Thursday, December 10 — Lecture 24: Final Review.
Resources: lecture slides.
Subsection 3.6 Review and Final Examination
Tuesday, December 15 — Review Session.
Study day; time and location to be announced. Extra: Old Final Exam.
Final Examination — Date and Time to Be Announced.
The University final-examination period is December 17–23. The exact date, time, and location will be set by the Registrar.
