This is a tentative syllabus and it is likely to change as the course progresses.
Selected homework problems by each section.Date | Reading - sections in textbook | Homework |
Jan. 13,15 | Vectors, dot products, and introduction to proofs.
sec. 1.1-1.2 |
Homework 1: 1.1,1.2 due 1/20 in class |
Jan. 18,20,22 | Hyperplanes and linear systems. Quiz 1. sec. 1.3-1.4 |
Homework 2: due 1/27 in class |
Jan. 25,27,29 | Theory of linear systems and some applications. sec. 1.5-1.6 |
Homework 3 due 2/3 in class |
Feb. 1,3,5 | Matrix operations, linear transformations, and inverse matrices.
Quiz 2. sec. 2.1-2.3 |
Homework 4 due 2/10 in class |
Feb. 8,10,12 | Elementary matrices and transpose matrices. Midterm 1. sec. 2.4-2.5 |
Homework 5 due 2/17 in class |
Feb. 15,17,19 | Subspaces of R^n, four fundamental subspaces, linear independence.
sec. 3.1-3.3 |
Homework 6 due 2/24 in class |
Feb. 22,24,26 | Dimension, abstract vector spaces. Quiz 3. sec. 3.4-3.5 |
Homework 7 due 3/2 in class |
Feb. 29, Mar. 2,4 | Inconsistent systems and projection, orthogonal bases, linear transformations. sec. 4.1-4.3 |
Homework 8 due 3/16 in class |
Mar. 7,9,11 | Spring break. | |
Mar. 14,16,18 | Abstract linear transformations, determinants. Quiz 4. sec. 4.4-5.1 |
Homework 9 due 3/23 in class |
Mar. 21,23, (25) | Cofactors and Cramer's rule, signed area and volumes. (Easter break) sec. 5.2-5.3 |
Homework 10 due 3/30 in class |
Mar. (28), 30, April 1 | (Easter break) Characteristic polynomial, diagonalizability. Quiz 5 sec. 6.1-6.2 |
Homework 11 due 4/8 (note this is Friday) in class |
April 4,6,8 | Spectral theorem. Midterm 2. sec. 6.4 |
Homework 11 due 4/13 in class |
April 11,13,15 | Complex eigenvalues and Jordan canonical form. sec. 7.1 |
Homework 12 due 4/20 in class |
April 18,20,22 | Matrix exponentials and differential equations. Quiz 6. sec. 7.3 |
Homework 13 due 4/27 in class |
April 25,27 | TBA/catch up | |