MATH 173

Course description

Honors Calculus III (Linear algebra and linear differential equations) (5 credit course)


Sevak Mkrtchyan
E-mail: first(dot)last at rochester dot edu
Lectures: MW 1025-1140 am at Hylan Bldg. room 201
Office: Hylan 805
Office Hours: M 2-3pm, Th 9:30-10:30pm via zoom (id 881 984 32 23)


Linear Algebra (2nd edition) by Kenneth Hoffman and Ray Kunze, Prentice Hall, 1971.

Other good books on the various aspects of the subject treated in different styles:

(1) Linear algebra—Friedberg, Insel, Spence

(2) Calculus, Vol. 2 by Tom M. Apostol, 2nd edition, Wiley Pub.

Topics Covered

We will discuss linear equations, matrices, vector spaces, linear transformations, spaces of polynomials, determinants, canonical forms and inner product spaces. These topics are covered in chapters 1-6 and 8 of the textbook.

In the later parts of the course we will study linear differential equations and systems of linear differential equations. Lecture notes will be provided for this part of the course.

Exams and Grading

There will be two midterm exams and a final exam.

  • First midterm: 3rd October (Tue) 8-9:20 Location: Dewey 2162
  • First midterm: 7th November (Tue) 8-9:20 Location: Dewey 2162

Final Exam: Tuesday, December 19 12.30-3.30 pm In Hylan 201

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

  • Homework assignments 1/3
  • Two Midterm Exams 1/3
  • Final Exam 1/3

The final counts as 2 midterms as does your total homework grade. The final exam will consist of two parts: Part I will only cover material till the second midterm and Part II will cover everything else.

If your score on Part I of the final is higher than one of your midterm scores, then your Part I score will replace your lowest score (one replacement only).

Note: This course is covered by the College’s Academic Honesty Policy, which you are expected to have read. In particular, submission of written work, including homework, quizzes and exams, which has been copied from the work of other students, with or without their knowledge or consent, or from a book, is plagiarism.


The course has two Teaching Assistants who will run weekly workshops. The workshop schedule will be determined during the first week of classes.


There will be weekly homework assignments posted on gradescope a week before they are due. Homework should be submitted on gradescope, before the deadline. No extensions will be given, but we will drop the lowest HW score.

The homework scheduled might be altered around midterm exams and holidays when no class is held.

Disability Support

If you have an academic need related to a disability, arrangements can be made to accommodate most needs. In the event you encounter any barrier(s) to full participation in this course due to the impact of a 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)275-9049; 1-154 Dewey Hall. To be granted alternate testing accommodations, such as extra time, you (the student) must fill out forms with the office of 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 for you, and they are not obligated to make any 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). This applies 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.