MATH 164-A2

Multidimensional Calculus


Donggeun Ryou
E-mail: dryou at ur dot rochester dot edu
Lectures: Mon/Tues/Wed/Thurs 9:00-11:15AM on zoom. Go to the Link posted in Math 164 blackboard.
Office Hours: On zoom 11:15am-12:15pm Tues/Thurs (Please send a email before you come). Available other times by appointment.


Calculus: Early Transcendentals (9th edition) by James Stewart. A physical copy or online/e-book are both acceptable. You may use an older edition, however there will be some differences in page and section numbers.


MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 164.

Course Description

Equations of lines and planes, quadric surfaces, space curves, partial derivatives, linear approximation, directional derivatives, extrema, Lagrange multipliers, double/triple integrals including cylindrical and spherical coordinates. Line, surface, and volume integrals, divergence theorem, Stokes’ theorem.

Exams and Grading

There will be two midterm exams and a final exam. For exam times and further info, see the see the Exams page.

Your grade for the course will be based on your performance on exams and homework:

  • WeBWorK assignments - 25%
  • Midterm Exams - 20% each
  • Comprehensive Final Exam - 35%

The following is a rough indication of how your course grade will be assigned and exact grade cutoffs will be determined at the end of the semester:

> 90% will guarantee at least an A-
> 80% will guarantee at least a B-
> 70% will guarantee at least a C-
> 60% will guarantee at least a D-
< 60% potentially failing

Incomplete “I” grades are almost never given. The only justification is a documented serious medical problem or a genuine personal/family emergency. Falling behind in this course or problems with workload on other courses are not acceptable reasons.


Webwork sets will be due each Friday at 11:59pm, starting the first week of class.

Each webwork problem will be weighted equally and the lowest 5% of your problem scores will be dropped from your grade (i.e. you are allowed to miss 5% of webwork problems, without penalty).

To access webwork click the Webwork link in Course Materials on the Math 164 blackboard site.