| Time | Class content | Section covered | Remarks | R Aug 29 | Systems of linear equations | 1.1 | T Sept 3 | Row reduction and echelon form | 1.2 | R Sept 5 | Vector equation and matrix equation | 1.3-1.4 | hw1 due (1.1, 1.2) | T Sept 10 | Solve linear systems | 1.4-1.5 | R Sept 12 | Linear independence | 1.7-1.8 | hw2 due (1.3, 1.4, 1.5) | T Sept 17 | Linear transformation | 1.8-1.9 | R Sept 19 | Matrix operations | 2.1-2.2 | hw3 due (1.7, 1.8, 1.9) | T Sept 24 | Invertible matrices | 2.2-2.3 | R Sept 26 | Matrix partition and LU-factorization | 2.4-2.5 | hw4 due (2.1, 2.2, 2.3) | T Oct 1 | Determinants of matrices | 3.1-3.2 | R Oct 3 | Applications of Determinants of matrices | 3.3 | T Oct 8 | Review 1 | reviewproblems and notes | hw5 due (2.4, 2.5, 3.1, 3.2) | R Oct 10 | Test 1 | in class | 1.1-1.5, 1.7-1.9, 2.1-2.5, 3.1-3.3 | T Oct 15 | no class (Fall break) | R Oct 17 | Vector spaces and subspaces | 4.1-4.2 | hw6 will be turned in with hw7 (3.3) | T Oct 22 | Null spaces, column spaces, bases | 4.2-4.3 | R Oct 24 | coordinate system and change of basis | 4.4,4.7 | hw7 due (3.3, 4.1-4.3) | T Oct 29 | Dimension and rank | 4.5-4.6 | R Oct 31 | Eigenvalue and charateristic equation | 5.1-5.2 | hw8 due (4.4-4.7) | T Nov 5 | diagonalization | 5.3 | R Nov 7 | Inner product, length and orthogonality | 6.1 | hw9 due (5.1-5.3) | T Nov 12 | Orthogonal sets | 6.2-6.3 | R Nov 14 | Gram-Schmit process, Least-square problems and linear models | 6.4-6.6 | hw10 due (6.1-6.3) | T Nov 19 | Review 2 | Review 2 | hw11 due (6.4-6.6) | R Nov 21 | Test 2 | in class | 4.1-4.7, 5.1-5.3, 6.1-6.6 | T Nov 26 | Symmetric matrices | 7.1 | R Nov 28 | Thanksgiving Day | T Dec 3 | quadratic forms | 7.2 | R Dec 5 | Final review | hw12 due (7.1-7.2) | Thursday Dec 13 | Final Exam: 2-5pm | in class |