Math 31AH - Honors Linear Algebra

Welcome to Math 31AH!

Course description:

This course is the first in the Mathematics Department's Honors sequence. It covers basic linear algebra: vectors and matrices, solution of systems of linear equations, geometry of vector spaces, linear transformations, eigenvalues and eigenvectors.
The three courses in the Honors sequence, Math 31ABC, cover essentially the same material as do Math 20F, 20C, and 20E, respectively, but at a more sophisticated conceptual level. The Honors sequence emphasizes proofs, so students completing it will be exempt from taking Math 109 (Mathematical Reasoning).
The Honors sequence is intended for mathematics majors and prospective mathematics majors (although others are very welcome) and gives a much better view of what upper-division mathematics is like than does the standard Math 20 sequence.

Instructor: Dragos Oprea, doprea "at", AP&M 6-101.

Lectures: MWF, 2pm-2:50pm, AP&M B-412.

Office hours:

Monday 3-4, Friday 1:30-2, 3-3:30 in AP&M 6-101.
I am available for questions after lecture or by appointment. Also, feel free to drop in if you see me in my office.

Teaching Assistant:

Daniel Vallieres dvallieres "at" you know where.
Daniel's Office Hours: Wednesday 9AM-11AM, Thursday 9-11AM, APM 5132.


AP calculus in high school, with a 5 on the BC exam, or permission from the instructor. A grade of B- or better is necessary to continue from one course to the next in the sequence.

Textbook: J. H. Hubbard and B. B. Hubbard, Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach, Fourth Edition.


Homework (20%), two midterms (20% each), final (40%).


There will be weekly homework assignments, due in section on Tuesdays, or before then in the drop box on the sixth floor of AP&M. Students are allowed to discuss the homework assignments among themselves, but are expected to turn in their own work - copying someone else's is not acceptable

Important Dates and Holidays:

  • Friday, September 24: First lecture
  • Friday, October 8: Add deadline
  • Wednesday, October 20: Midterm I
  • Wednesday, November 17: Midterm II
  • Thursday-Friday, November 25-26: Thanksgiving Recess
  • Friday, December 3: Last class
  • Wednesday, December 8: Final exam (3-6pm).

  • Lecture Summaries