| Time | Class content | Section covered | Remarks | R Aug 31 | Systems of linear equations | 1.1 | T Sept 5 | Row reduction and echelon form | 1.2 | R Sept 7 | Vector equation and matrix equation | 1.3-1.4 | hw1 due (1.1, 1.2) | T Sept 12 | Solve linear systems | 1.4-1.5 | R Sept 14 | Linear independence | 1.7-1.8 | hw2 due (1.3, 1.4, 1.5) | T Sept 19 | Linear transformation | 1.8-1.9 | R Sept 21 | Matrix operations | 2.1-2.2 | hw3 due (1.7, 1.8, 1.9) | T Sept 26 | Invertible matrices | 2.2-2.3 | R Sept 28 | Matrix partition and LU-factorization | 2.4-2.5 | hw4 due (2.1, 2.2, 2.3) | T Oct 3 | Determinants of matrices | 3.1-3.2 | R Oct 5 | Review 1 | reviewproblems and notes | hw5 due (2.4, 2.5, 3.1, 3.2) | T Oct 10 | Test 1 | in class | 1.1-1.5, 1.7-1.9, 2.1-2.5, 3.1-3.2 | R Oct 12 | no class (Fall break) | T Oct 17 | Applications of Determinants of matrices | 3.3 | R Oct 19 | Vector spaces and subspaces | 4.1-4.2 | hw6 will be turned in with hw7 (3.3) | T Oct 24 | Null spaces, column spaces, bases | 4.2-4.3 | R Oct 26 | coordinate system and change of basis | 4.4,4.7 | hw7 due (3.3, 4.1-4.3) | T Oct 31 | Dimension and rank | 4.5-4.6 | R Nov 2 | Eigenvalue and charateristic equation | 5.1-5.2 | hw8 due (4.4-4.7) | T Nov 7 | No class (election day) | R Nov 9 | diagonalization | 5.3 | T Nov 14 | Inner product, length and orthogonality | 6.1 | hw9 due (5.1-5.3) | R Nov 16 | Orthogonal sets | 6.2-6.3 | T Nov 21 | Review 2 (remote instruction day) | Review 2 | hw10 due (6.1-6.3) | R Nov 23 | Thanksgiving Day | T Nov 28 | Test 2 | in class | 3.3, 4.1-4.7, 5.1-5.3, 6.1-6.3 | R Nov 30 | Gram-Schmit process, Least-square problems and linear models | 6.4-6.6 | T Dec 5 | Symmetric matrices | 7.1 | R Dec 7 | Final review | hw11 due (6.4-6.6, 7.1) | Thursday Dec 14 | Final Exam: 2-5pm | in class |