All numbers indicate sections from Linear Algebra (Lay) -- Sixth Edition.
R is for the reading assignment
C is for exercises that are assigned and will be collected
W is for exercises that are to be done online
Tuesday |
Thursday |
| Sept. 2 |
Sept. 4 Lecture #1: Intro to Math 320 Systems of Linear Equations Gaussian Elimination Matrices |
| Sept. 9 Lecture #2: Echelon Form Basic and Free Variables Describing Solution Sets Homework Due: R 1.1-1.2 W MyLab: Orientation Problems |
Sept. 11 Lecture #3: Vector algebra Spans of Vectors Homework Due: R 1.3 W MyLab: Hw 1 |
| Sept. 16 Lecture #4: Matrix-vector Multiplication Ax=b Dot Product Parameterized Solutions Homework Due: R 1.4-1.5 Written Homework #1: C 1.2: 1bc, 2bc, 20,26,32,35 C Additional Problems |
Sept. 18 Quiz #1 Lecture #5: Homogeneous Linear Equations Nonhomogeneous Systems Characterization of Nonhomogeneous Systems Homework Due: R 1.6-1.7 W MyLab: Hw 2 |
| Sept. 23 Lecture #6: Spanning set Linear Independence Homework Due: R 1.8 Written Homework #2: C 1.3: 6, 12,14,16,18,32 C 1.4: 2,4,12 C 1.5: 8,10,14 C Additional Problems |
Sept. 25 Quiz #2 Lecture #7: Number of vectors and Independence Introduction to Linear Transformations Homework Due: W MyLab: Hw 3 |
| Sept. 30 Lecture #8: One and two step verification Showing a function is linear Showing a function is not linear Homework Due: R 1.9 Written Homework #3: C 1.5: 20,27,28,30,47 C 1.7: 2,8,12,20,21 C Additional Problems |
Oct. 2 Quiz #3 Lecture #9: Matrix of Linear Transformation Homework Due: R 1.10 W MyLab: Hw 4 |
| Oct. 7 Lecture #10: 1-1 and onto functions Homework Due: R 2.1 Written Homework #4: C 1.7: 23,26,34 C 1.8: 2,4,10,20,22,24 C Additional Problems |
Oct. 9 Quiz #4 Lecture #11: Composition of functions Matrix Multiplication Homework Due: W MyLab: Hw 5 |
| Oct. 14 Lecture #12: Properties of Matrix Multiplication Transpose of a Matrix Homework Due: R 2.2 Written Homework #5: C 1.9: 2,16,22,24,26,28,38 C Additional Problems |
Oct. 16 Quiz #5 Lecture #13: Inverse of a Matrix Homework Due: W MyLab: Hw 6 |
| Oct. 21 Lecture #14: Shoes and Socks Theorem Elementary Matrices Question for Exam Homework Due: R 2.3 Written Homework #6: C 2.1: 2,6,10,20,21,22,35 C Additional Problems |
Oct. 23 Midterm Topics: 1.1-1.9, 2.1-2.2 W MyLab: Hw 7 (Due Friday, but good practice for exam) |
| Oct. 28 Lecture #15: Invertible Matrix Theorem Abstract Vector Spaces Homework Due: R 4.1 Written Homework #7: C 2.2: 2,8,18,19,20,31,32,42 C Additional Problems |
Oct. 30 Quiz #6 Lecture #16: Spanning Set Subspaces Homework Due: W MyLab: Hw 8 |
| Nov. 4 Lecture #17: Proofs for Subspaces Linear Transformations Homework Due: Written Homework #8: R 4.2 C 2.3: 6,26,28,30 C 4.1:2,5,12,28,29 C Additional Problems |
Nov. 6 Quiz #7 Lecture #18: Kernel and Range Spaces Linear Independence Spanning set of subspaces Homework Due: R 4.3 W MyLab: Hw 9 |
| Nov. 11 Lecture #19: Basis of subspace Null and column spaces Homework Due: Written Homework #9: C 4.2: 12,44 C Additional Problems |
Nov. 13 Quiz #8 Lecture #20: Unique representation Coordinate Systems Homework Due: R 4.4 W MyLab: Hw 10 |
| Nov. 18 Dimension and Rank Homework Due: R 5.1 Written Homework #10: C 2.8: 32,33 C 4.4: 4,8 C Additional Problems |
Nov. 20 Lecture #21: Change of Basis Definition of Eigenvectors Homework Due: R 5.2 W MyLab: Hw 11 |
| Nov. 25 Lecture #22: Eigenvectors Eigenvalues Determinate Homework Due: R 3.1 Written Homework #11: C 5.1:2,8,12 C Additional Problems |
Nov. 27 Thanksgiving |
| Dec. 2 Lecture #23: Finding Eignenvalues Characteristic Polynomial Eigenspaces Homework Due: R 5.3 Written Homework #12: C 3.1: 6,10,12 C 3.2: 16,18,20,22,37,39 C Additional Problems |
Dec. 4 Quiz #9 Lecture #24: Eigenbasis Diagonalization Similarity Homework Due: R 5.4 W MyLab: Hw 12 |
| Dec. 9 Lecture #25: Trace Complex Eigenvalues Existence of Eigenbasis Power of Matrices Homework Due: R 5.5 Written Homework #13: C 5.1: 20,21,22,23,24 C 5.2: 4,10 C Additional Problems |
Dec. 11 Lecture #26: Questions for the final Homework Due: W MyLab: Hw 13 |
Section 2: Tuesday, December 16 at 11 AM |
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