MATH 164

Multidimensional Calculus

Mary Cook
Office: Hylan 1006
Lectures: MW 9:00–10:15 in Meliora 203, MW 12:30–13:45 in Bausch & Lomb 106
Office Hours: MW 2:00 PM – 3:00 PM
Eyup Yalcinkaya
Office: Hylan 1015
Lectures: MW 14:00–15:15 in Hylan Building Room 202
Office hours: M 11:00 AM – 12:00 PM

All students attending any aspects of the course must follow University policy on mask-wearing and social distancing.

Textbook and Requirements

Calculus: Early Transcendentals (9th edition) by James Stewart, Daniel K. Clegg, and Saleem Watson. 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.

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. MTH 162 (or equivalent) is a strict prerequisite and must be completed before taking 164. MTH 162 and 164 cannot be taken concurrently.

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, WeBWorK homework, and recitation attendance:

  • WeBWorK homework - 15%
  • Recitation attendance - 10%
  • Midterm Exams - 20% each
  • Comprehensive Final Exam - 35%

The Final Exam will have two parts: Part A will cover the material tested in both Midterms 1 & 2, while Part B will only contain questions related to material appearing after Midterm 2. Part A accounts for 10% of your course grade and Part B accounts for 25% of your course grade. In addition, the Part A score will replace the lowest midterm score if it is indeed higher (but not both). Makeup exams are typically not offered, except in extenuating circumstances at the discretion of your instructor. If you miss a midterm exam for some reason, then Part A of the final exam will count as your makeup. Final Part A can only replace one midterm score.

You will NOT be permitted calculators or other electronic devices (smart phones, smart watches, etc) on any exams. You will NOT be permitted books, notes, or “cheat sheets” on any exams. A formula sheet will be provided with each exam.

The following is a rough indication of how your course grade will be assigned. 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 Homework

WeBWorK problems are completed online and provide instant feedback as to whether you have done a problem correctly or not. You are encouraged to discuss problems with other students, however WeBWorK problems are individualized for each student, so you must complete your own assignment. WeBWorK problems count for 15% of the total grade. There will be weekly WeBWorK assignments, which may consist of up to 25 problems. Your lowest WeBWorK score will be dropped. WeBWorK deadlines are Friday nights at 11:59pm. Please note that extensions will only be granted in exceptional circumstances. A crowded schedule or minor illness are NOT valid reasons to ask for an extension. If you know you will be absent from school for an extended period, inform your instructor as early as possible so arrangements can be made.

A WeBWorK TA will be available to answer questions about Webwork homework sets until 5pm on Fridays. Questions received after 5pm may not be answered. There is a button on each problem to email the WeBWorK TA.

To access WeBWork click the WeBWork link in Course Materials on the MATH 164 Blackboard site.


Math 164 has weekly recitations where you meet in smaller groups with a TA for 75 minutes. You are responsible for signing up for your weekly recitation. Instructions are posted on the recitation page. You will be graded based on attendance and participation in recitations, and the four lowest recitation scores will be dropped. Because of this, there will be no make-up recitations.

Disability Support

The University of Rochester respects and welcomes students of all backgrounds and abilities. In the event you encounter any barrier(s) to full participation in this course due to the impact of disability, please contact the Office of Disability Resources. The access coordinators in the Office of Disability Resources can meet with you to discuss the barriers you are experiencing and explain the eligibility process for establishing academic accommodations. You can reach the Office of Disability Resources at: (585) 275-3424; Taylor Hall. Or, visit Disability Resources.

Please note that to be granted alternate testing accommodations, you (the student) must fill out forms with Disability Resources at least seven days before each and every exam. These forms are not sent automatically. Instructors are not responsible for requesting alternative testing accommodations at CETL or making accommodations on their own.

Academic Integrity Statement

All assignments and activities associated with this course must be performed in accordance with the University of Rochester’s Academic Honesty Policy. More information is available at:

Math Dept policy on unauthorized online resources: Any usage whatsoever of online solution sets or paid online resources ( or similar) is considered an academic honesty violation and will be reported to the Board on Academic Honesty. In particular, any assignment found to contain content which originated from such sources is subject to a minimum penalty of zero on the assignment and a full letter grade reduction at the end of the semester (e.g. a B would be reduced to a C). Depending on the circumstances, this may apply even if the unauthorized content was obtained through indirect means (through a friend for instance) and/or the student is seemingly unaware that the content originated from such sources. If you have any questions about whether resources are acceptable, please check with your instructor.

College Credit-Hour Policy

This course follows the College credit hour policy for four-credit courses. This course meets 3 academic hours per week. The course also includes recitations/workshops for 1.5 academic hours per week.