Welcome to Linear Algebra!
The textbook is Strang's Linear Algebra for Everyone (the site also includes errata and links to videos).
Office Hours: Tuesdays 3pm, Wednesdays 1pm (Wexler 736). Note you are also welcome to attend the Brunch & Belonging university-wide office hours on Wednesdays between 9 and 10:30 in Wexler A206.
Masks are mandatory as per university regulation. Please familiarize yourself with the university rules for the course.
Grade breakdown: 10% homeworks, 10% presentations, 80% exams (only the top two will be counted, the bottom two will be ignored.)
See here for information about the final.
Presentations (It should be about 10 minutes long. Please choose a challenge problem from the book. You can recycle old homework problems if you wish. If you work in groups of two people, please present twice. If you work in groups of three, present three times, etc. You can record the problem you wish to present here .
You could also explain parts of the book skipped in class. Possible topics include:
pages 89 and 90
Homeworks:
Homework 1 (due Jan 25 Jan 27) (Problem sets 1.3, 1.4 are on the author's webpage. For problem sets 1.1 and 1.2, look here.)
Homework 2 (due Feb 10)
Homework 3 (due Mar 3)
Homework 4 (due Mar 24 Mar 29)
Homework 5 (due Apr 7)
Homework 6 (due Apr 21)
Schedule (with corresponding subchapter in book indicated. Try to read ahead, but definitely do the reading after lecture):
Jan 11: Vectors and Linear Combinations (1.1)
Jan 13: Dot Products: Lengths and Angles (1.2)
Jan 18: Matrices and Column Spaces (1.3)
Jan 20: Matrix Multiplication (1.4)
Jan 25: Elimination (2.1)
Jan 27: Elimination via matrices (2.2, homework 1 due)
Feb 1: Matrix Computations (2.3)
Feb 3: Midterm 1 (Review sheet )
Feb 8: Permutations and Transposes (2.4)
Feb 10: Vector Spaces, Subspaces (3.1, homework 2 due)
Feb 15: Nullspaces (3.2)
Feb 17: Solutions to matrix equations (3.3)
Feb 22: Independence, bases, dimension (3.4)
Feb 24: Dimensions of the Two Subspaces (3.5)
Mar 1: Midterm 2 (Review sheet)
Mar 3: Non-linear aspects of linear algebra (homework 3 due)
Mar 17: Determinants (5.1, [some of 5.2])
Mar 22: Linear Tranformations (5.3)
Mar 24: Eigenvalues (6.1, homework 4 due)
Mar 29: More Eigenvalues (6.1, homework 4 due)
Mar 31: Diagonalization I (6.2)
Apr 5: Diagonalization II (6.2)
Apr 7: Symmetric Positive Definite Matrices I (6.3, homework 5 due)
Apr 12: Midterm 3 (Review Sheet )
Apr 14: Symmetric Positive Definite Matrices II
Apr 19: Singular Value Decomposition (7.1)
Apr 21: Singular Value Decomposition and image compression (7.2, homework 6 due)
Apr 26: Some further topics
Apr 28: Review (Review sheet)