MATH 235


Instructor: Kalyani Madhu
Lectures: MW 2:00 to 3:15 in Hylan Building Room 201
Office: Hylan 815
Office hours: Friday 1:30-3.

Instructor: Thomas Tucker
Lectures: MW 2-3:15 in Morey 525
Office: Hylan 1010
Office hours: Th 12-1. Fri 2:15-3:15

Graduate TAs:

Tianxiao Hu, Office Hours Wednesdays 2-3pm in Hylan 1103

Ke Yu, Office Hours 12-1pm Fridays in Hylan 711

The Learning Center Study Group for Math 235 is Wednesdays 3:30-4:45 with Mary Liu in Dewey 1160B. You must sign up through the learning center to join a study group. Attendance at a study group does not count toward your grade.

Course description

Finite-dimensional vector spaces over \(\mathbb{R}\) and \(\mathbb{C}\) axiomatically and with coordinate calculations. Forms, linear transformations, matrices, eigenspaces, inner products.


S. H. Friedberg, A. J. Insel, L. E. Spence: Linear Algebra, 5th Ed., ISBN 978-0134860244 (The 4th edition is fine.)


Grades will be determined by computing the maximum of the following three weight distributions.

  Homework Midterm 1 Midterm 2 Final exam
Scheme 1 20% 20% 20% 40%
Scheme 2 20% 0% 30% 50%
Scheme 3 20% 30% 0% 50%


Midterm 1: Tuesday, February 27 at 8 am in Dewey 1101
Midterm 2: Tuesday, April 2 at 8 am
Final Exam: Sunday, May 5 at 4 pm

Midterm 2 will not be cumulative, but many concepts from the second half of the course build upon those from the first. Mastery of topics from early in the course is essential for success late in the course. The final exam will be cumulative with slightly more emphasis on topics discussed after Midterm 2.

Due to the flexible grading schemes, make-up exams will typically not be given. If you will be absent on one of the exam days, please notify your instructor as soon as possible.


Suggested practice from the textbook will be listed on the Schedule page of this site. These exercises are intended to reinforce topics covered in lecture. Students are encouraged to attempt at least some of these after every class but solutions will not be collected.

Weekly assignments will be posted to the [Homework] (homework) page of this site as well as Blackboard. Solutions are due on [Gradescope] ( by the specified deadlines. These will generally be Friday at 11:59 PM. Students are responsible for keeping track of when all work is due. Late homework will not be accepted without prior arrangement with your instructor.

Students may work together on the problem sets, but solutions must be written on your own without reviewing others’ work. The use of online solution guides, paid resources (e.g. Chegg), and forums (e.g. Math Stack Exchange) is prohibited. If you are struggling with a problem, please consult your classmates, come to office hours, or reach out to the instructor or TA.

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 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 The Learning Center or making accommodations on their own.

Academic integrity

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 Department 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. Students may also be expected to deepen their

understanding of the course material through close examination/evaluation of the readings assigned in the course.