Course Description
This course is a sequel to Math 3 and is appropriate for students who have successfully completed an AB calculus curriculum (or the equivalent) in secondary school.
Roughly half of the course is devoted to topics in one-variable calculus, including sequences and series and Taylor series. The second half studies scalar-valued functions of several variables, beginning with vector geometry, equations of lines and planes, and space curves, followed by differential calculus of functions of several variables.
Topics include limits and continuity, partial derivatives, tangent planes and differentials, the Chain Rule, directional derivatives and applications, and optimization problems including Lagrange multipliers.
Instructors and Sections
| Section 1 | Section 2 | Section 3 | |
|---|---|---|---|
| Instructor | Michaela Polley | Patrick Addona | Jacob Lehmann Duke |
| Contact | Michaela.GR@dartmouth.edu | patrick.w.addona.gr@dartmouth.edu | JLD.GR@dartmouth.edu |
| Class | MWF 12:50–1:55 pm | MWF 2:10–3:15 pm | MWF 2:10–3:15 pm |
| X-Hour | Tue 1:20–2:10 pm | Thu 1:20–2:10 pm | Thu 1:20–2:10 pm |
| Classroom | Kemeny 007 | Kemeny 006 | Kemeny 105 |
| Office | Kemeny 214 | Kemeny 216 | Kemeny 214 |
| Office Hours |
Mon 10:15–11:15 am Wed 2:15–3:15 pm Thu 9:15–10:15 am All in Kemeny 242 |
Mon 11:00 am-12:00 pm Tue 11:00 am-12:00 pm Fri 3:30-4:30 pm All in Kemeny 216 |
Mon 9:00–10:30 am Thu 4:30–6:00 pm Both in Kemeny 242 |
Course Resources
- Canvas — announcements, assignments, course materials, and grades
- Course Syllabus
Course Summary
| Date | Details |
|---|---|
| Mon Sep 14, 2026 | Introduction to course, differentiation and integration review |
| Wed Sep 16, 2026 | Sequences and series (11.1, 11.2) |
| Fri Sep 18, 2026 | Integral test and comparison test (11.3, 11.4) |
| Mon Sep 21, 2026 | NO CLASS - YOM KIPPUR |
|
Tue Sep 22, 2026 Section 1 OR Wed Sep 23, 2026 Sections 2, 3 |
Alternating series and ratio test (11.5, 11.6) |
|
Wed Sep 23, 2026 Section 1 OR Thu Sep 24, 2026 Sections 2, 3 |
Power series and radius of convergence (11.8) |
| Fri Sep 25, 2026 | Functions as power series (11.9) |
| Mon Sep 28, 2026 | Taylor series (11.10) |
| Wed Sep 30, 2026 | Taylor series (11.10) |
| Fri Oct 2, 2026 | Midterm 1 review |
| Mon Oct 5, 2026 |
Coordinates and vectors (12.1, 12.2) MIDTERM EXAM, 5:30 - 7:30pm, Kemeny 008 |
| Wed Oct 7, 2026 | Dot products and projection (12.3) |
| Fri Oct 9, 2026 | Dot products and projection (12.3) |
| Mon Oct 12, 2026 | Cross products and geometry (12.4) |
| Wed Oct 14, 2026 | Representing lines and planes (12.5) |
| Fri Oct 16, 2026 | Representing lines and planes (12.5) |
| Mon Oct 19, 2026 | Vector Functions (13.1) |
| Wed Oct 21, 2026 | Derivatives and integral of vector functions; arc length and curvature (13.2, 13.3) |
| Fri Oct 23, 2026 | Midterm 2 review |
| Mon Oct 26, 2026 |
Functions of several variables (14.1, 14.2) MIDTERM EXAM, 5:30 - 7:30pm, Kemeny 008 |
| Wed Oct 28, 2026 | Partial derivatives (14.3) |
| Fri Oct 30, 2026 | Tangent planes (14.4) |
| Mon Nov 2, 2026 | The chain rule (14.5) |
| Wed Nov 4, 2026 | Gradients and directional derivatives (14.6) |
| Fri Nov 6, 2026 | Gradients and directional derivatives (14.6) |
| Mon Nov 9, 2026 | Minima and maxima (14.7) |
| Wed Nov 11, 2026 | Lagrange multipliers (14.8) |
| Fri Nov 13, 2026 | Final exam review |
| Mon Nov 16, 2026 | Final exam review |
| Fri Nov 20, 2026 | FINAL EXAM, 6:30 - 9:30pm, Kemeny 008 |
General Information
Textbook: Calculus, 8th Edition, by James Stewart.
Prerequisite: Math 3 or advanced placement into Math 8.
Please see Canvas for the current course schedule, homework, announcements, exam information, and other course policies.