The course will cover Chapters 1,2,5, and 6 in the textbook, as well as additional topics.
Thematically, the course will be similar to MAT 331. However, it is not intended to be an immediate continuation of MAT 331, but rather aims to reintroduce important concepts of linear algebra in a more abstract, coordinate-free setting. Consequently, the focus of the course will be on proofs and concepts, not on calculations.
The course will cover the following topics:
- Abstract vector spaces and bases
- Linear transformations and their matrix representations
- Eigenvalues and eigenvectors of linear transformations
- Inner product spaces
More information can be found below:
- Text: Linear Algebra, by Friedberg, Insel, and Spence, Fourth Edition, Prentice Hall, 2003.
- Classes: TTh 9:30 AM - 10:50 AM, 114 Carnegie
- Office Hours: TTh 3:30 PM - 4:30 PM
- Course syllabus: A PDF version of the course syllabus can be found here.
- Midterm Exam: There will be one midterm exam, which will be given in class on Thursday, March 9.
- Final Exam: The final exam will cover the entire course and will be given on Thursday, May 4, from 12:45 PM to 2:45 PM in 114 Carnegie. Time and location of the final exam are subject to change.
- Homework: Written assignments will be announced weekly at the bottom of this page
- Grading: The midterm exam will count for 30% of your course grade and the final exam for 40%. The remaining 30% will come from the homework.
- Calculator Policy: Calculators will not be allowed on the exams.
- Academic Integrity: See Syracuse University's Academic Integrity Policy
- Students with Disabilities: If you believe you need an accommodation for a disability, please talk to me at the beginning of the semester or contact the Office of Disability Services (ODS), located in Suite 303 of 804 University Avenue, or call (315) 443-4498
- Religious Observances Notification: Students who will be observing religious holidays during the semester are required to fill out their notification form on MySlice by the end of the second week of classes.
- Homework 1, due in class on Thursday, January 26:
Section 1.2, Exercises 1 (only parts a, b, e, f, g, h), 4 (only parts a, d), 6, 18
Additional Exercise: How many vectors are there in ?
Note: In this exercise, denotes the field defined in Example 4 on page 553.
- Homework 2, due in class on Thursday, February 2:
Section 1.3, Exercises 8 (only parts d, e, f), 11, 19
Section 1.4, Exercise 3 (only part a)
Additional Exercise: How many subspaces are there in ?
- Homework 3, due in class on Thursday, February 9:
Section 1.4, Exercises 4 (only part a), 5 (only parts a, g)
Section 1.5, Exercises 1, 2 (only parts d, e), 9, 10
- Homework 4, due in class on Thursday, February 16:
Section 1.6, Exercises 1 (only parts a through i), 2 (only part a), 3 (only part a), 4, 9, 13, 16
- Homework 5, due in class on Thursday, February 23:
Section 1.6, Exercises 6, 7, 10 (only part a), 26
Section 1.7, Exercise 3
- Homework 6, due in class on Thursday, March 2:
Section 2.1, Exercises 9, 12, 18, 22, 37 (in Exercise 22, you only have to do the first half of the exercise, i.e., the part about linear transformations from R3 to R)
- Homework 7, due in class on Thursday, March 23:
Section 2.1, Exercises 1 (only parts a through f), 2, 3, 5, 16
In Exercises 2, 3, and 5, you don't have to prove that T is linear, even though it says so in the exercise. Because of the midterm exam on Thursday, the homework is not due until after spring break.
- Homework 8, due in class on Thursday, March 30:
Section 2.2, Exercises 1, 2 (only part a), 3, 5 (only part c), 10
- Homework 9, due in class on Thursday, April 6:
Section 2.3, Exercises 1 (only parts a through f), 3 (only part a)
Section 2.4, Exercise 4
Section 2.5, Exercises 1, 2 (only part b), 3 (only part a)
- Homework 10, due in class on Thursday, April 13:
Section 2.5, Exercises 6 (only part a), 7 (only part a)
Section 2.6, Exercises 2, 6 (only part a)
- Homework 11, due in class on Thursday, April 20:
Section 2.7, Exercises 1, 3 (only part b), 4 (only part a), 16 (only parts a and b)
- Homework 12, due in class on Thursday, April 27:
Section 4.2, Exercises 1, 8
Section 4.4, Exercise 3 (only part b)
Section 5.1, Exercise 2 (only parts a, b)