Math 314, Spring 2019

Linear Algebra

Faculty: David Harbater
Email: harbater AT math.upenn.edu
Telephone: (215) 898-9594; Department office: (215) 898-8178
Office: DRL 4E2A; Department office: DRL 4W1-6.
Office hours: F 1:30-2:30. (Note: During the week of April 29, office hours will be held on Monday, 1:30-2:30pm, rather than Friday 1:30-2:30pm.)
Lectures: MWF 11-12, DRL A8.
Teaching Assistants:
- Teaching Assistants:
  - Ben Foster, labs: 402-403. Office: DRL 3W8. Off. hrs: Tues. 3-4pm and Thurs. 4:30-5:30pm. E-mail: bfost AT sas.upenn.edu.
  - Juan Lanfranco, labs 404-405. Office: DRL 4E11. Off. hrs: Mon. 12-1pm, Tues. 4-5pm. E-mail: juanlan AT math.upenn.edu.
- Labs:
  - 402, T 6:30-8:30pm, DRL 3C2
  - 403, Th 6:30-8:30pm, DRL 3C2.
  - 404, T 6:30-8:30pm, DRL 3C4
  - 405, Th 6:30-8:30pm, DRL 3C4.
Textbook: "Linear Algebra" (second edition) by K. Hoffman and R. Kunze. On reserve at MPA library, DRL 3N1.
Homework: Weekly problem sets, to be handed in at lab. These will be available from the links below, as they are assigned.
Exams: Three exams in class: Mon., Feb. 18; Fri., March 29; Wed., May 1. The exams are not cumulative. No final exam. Note: During exams, no computers, calculators, notes or other aids can be used, except for a single two-sided handwritten 5"x7" index card.
- Exam 1: Sample Exam 1, for extra credit if submitted in class Feb. 15, or to TA by 3pm that day. Additional study problems for Exam 1. Exam 1 info.
- Exam 2: Sample Exam 2, for extra credit if submitted in class March 27, or to TA by 3pm that day. Additional study problems for Exam 2. Exam 2 info.
- Exam 3: Sample Exam 3, for extra credit if submitted in class April 29, or to TA by 8:30pm April 30. Additional study problems for Exam 3. Exam 3 info.
Grades: Course grades are based on exams (15% each exam, 45% total), homework (40%), and participation (15%). The lowest homework score is dropped. Individual grade information is available on Canvas.

Description of course: This is a one-semester course in linear algebra, with proofs. The course assumes some familiarity with the basics of linear algebra (e.g. from Math 240), including vectors in 3-space and matrix algebra. Math 314 will cover vector spaces, linear transformations, canonical forms, and inner products.

The course will be varied, involving theory, computations, and examples. It is open to undergraduate students, both math majors and others, and it is required for math majors. The course is more in-depth and more theoretical than the linear algebra course Math 312 (which does not count for math major credit). Students who would like to consult an additional text on linear algebra may wish to look at the book "Linear Algebra Done Right" by Sheldon Axler, or at the paperback "Linear Algebra" by Seymour Lipschutz and Marc Lipson in the Schaum Outline series.

Lecture notes for Jan. 16-18, for Jan. 23-30, for Feb. 1-8, for Feb. 11-15, for Feb. 22-27, for March 1-11, for March 13-15, for March 18-22, for March 25-April 10, for April 12-17, for April 19-29.

Homework assignments for Math 314:

Useful resources.

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