Calculus III
MATH 213 · Fall 2026 · CCNY
Instructor: Keino Brown, Ph.D.
Email: [email protected]
Office hours: Tuesdays & Thursdays 12:00–1:00 PM — book a slot
Meeting: Section: FG Days: M/W Time: 4:00 - 5:40 PM Room: Marshak MR4
Course Catalog Description
Vectors, multivariate functions, partial differentiation, multiple integrals, vector fields, line integrals, and Green’s theorem. For more information and course resources, see here.
Prerequisite
A grade of C or higher in MATH 21200, or placement by the Department.
Text
Calculus: Early Transcendentals (9th ed.) by Stewart, Clegg, and Watson (ISBN: 978-1337613927). We cover Chapters 12, 14, 15, 16, and parts of 10 and 13.
Learning Outcomes
See the Course Learning Outcomes.
Assessment
There are no make-ups, no curves, and no extra credit.
| When | What | Weight |
|---|---|---|
| Sept 28, Oct 28, Nov 23 | Exam 1, Exam 2, Exam 3 | 60 points (top 2 of 3) |
| TBA, Final Exam period (Dec 15–21) | Final Exam | 40 points |
Weighted score
(average of top 2 exam scores) × 0.60 + (final exam score) × 0.40
Letter Grades
Based on your weighted score:
| A+ 97–100 | B+ 87–89 | C+ 77–79 | F <60 |
| A 95–96 | B 84–86 | C 70–76 | |
| A- 90–94 | B- 80–83 | D 60–69 |
Homework
Homework problems are assigned to prepare you for the in-class exams; your grade is based on the exams.
Attendance/Lateness
Regular and consistent attendance is required. No more than three (3) absences will be excused. Whenever you are going to be absent, email me before class starts that day to request an excused absence. Leaving before class ends counts as an absence; arriving after attendance is taken counts as late, and three (3) latenesses count as one (1) unexcused absence. More than three (3) unexcused absences reduces your letter grade by one. You are responsible for any work missed while absent.
Electronics Policy
Calculators and electronic devices of any kind are not permitted during exams.
Academic Integrity
DO NOT CHEAT. Cheating results in an immediate, non-negotiable F. See the university’s policy on academic integrity here.
Students with Disabilities
If you receive accommodations for testing, please contact the AccessAbility Center in NAC 1/218, 212-650-5913, or [email protected] to schedule your exams.
Exam Schedule
| When | What | Topics |
|---|---|---|
| Sept 28 | Exam 1 | Vectors and the geometry of space (Ch 12) |
| Oct 28 | Exam 2 | Partial derivatives: gradients, chain rule, optimization (Ch 14) |
| Nov 23 | Exam 3 | Multiple integrals: double, triple, polar/cylindrical/spherical (Ch 15) |
| Dec 15–21 | Final | Comprehensive (incl. parametric/vector functions and vector calculus, Ch 10, 13, 16) |
The lowest of the first three exam scores is dropped; an absence on one of the first three exams counts as the dropped score. There are no make-ups, no curves, and no extra credit. Because the final is 40% of your grade, taking the final is necessary (but not sufficient) to pass.
Tentative Course Schedule
(M/W; subject to change):
| Week of | Monday | Wednesday |
|---|---|---|
| Aug 31 | Intro; Vectors §12.1–12.2 | Dot Product §12.3 |
| Sep 7 | Labor Day — no class | Cross Product §12.4 |
| Sep 14 | Lines and Planes §12.5 | Cylinders & Quadric Surfaces §12.6 |
| Sep 21 | No class | Review |
| Sep 28 | Exam 1 (Ch 12) | Functions of Several Variables §14.1 |
| Oct 5 | Limits & Continuity §14.2 | Partial Derivatives §14.3 |
| Oct 12 | Closed — Tue 10/13 (Mon sched.): Tangent Planes §14.4 | Chain Rule §14.5 |
| Oct 19 | Directional Derivatives & Gradient §14.6 | Maximum & Minimum Values §14.7 |
| Oct 26 | Review | Exam 2 (Ch 14) |
| Nov 2 | Double Integrals §15.1–15.2 | Double Integrals in Polar §15.3 |
| Nov 9 | Applications §15.4; Triple Integrals §15.6 | Cylindrical Coordinates §15.7 |
| Nov 16 | Spherical Coordinates §15.8 | Review |
| Nov 23 | Exam 3 (Ch 15) | No class — Thanksgiving |
| Nov 30 | Parametric Curves §10.1; Vector Functions §13.1 | Derivatives & Arc Length §13.2–13.3; Vector Fields §16.1 |
| Dec 7 | Line Integrals §16.2; FTLI §16.3 | Green’s Theorem §16.4; Curl & Divergence §16.5 |
| Dec 14 | Comprehensive review | Final Exams. TBA, Dec 15–21 |
No classes on (college closures, Fall 2026)
Mon 9/7 (Labor Day) — College closed
9/11–9/13 — No classes scheduled
Mon 9/21 — No classes scheduled
Mon 10/12 — College closed (Tue 10/13 follows a Monday schedule)
Wed 11/25 — No classes scheduled
11/26–11/27 (Thanksgiving) — College closed
Sat 11/28 — No classes scheduled