All numbers indicate sections from Linear Algebra with Applications -- 3rd Edition. (4th Edition)
R is for the reading assignment
C is for exercises that are assigned and will be collected
NC is for exercises that are assigned but will not be collected
Monday |
Wednesday |
Friday |
Sept. 3 Labor Day |
Sept. 5 Lecture #1: Intro to Math 320 Systems of Linear Equations |
Sept. 7 Lecture #2: Solving Linear Systems Geometric Interpretations Homework Due: R 1.1 Written Homework #1: C 1.1: 4,6,12,15,38(40) NC 1.1: 2,8,11,19,31 |
Sept. 10 Lecture #3: Solving Linear Systems Geometric Interpretations Homework Due: R 1.2 Written Homework #2: C 1.1:20,25,32,42(44) NC 1.1: 35,36 |
Sept. 12 Lecture #4: Gauss-Jordan Elimination Homework Due: R 1.3 |
Sept. 14 Lecture #5: Rank of a Matrix Number of Solutions of System Homework Due: Written Homework #3: C 1.1: 40(42),41(40) C 1.2: 4,6,7 |
Sept. 17 Lecture #6: Matrix Algebra Algebraic Identities |
Sept. 19 Lecture #7: Dot Product More Algebraic Identities Hill Cipher Homework Due: R 2.1 Written Homework #4: C 1.2: 8,10,27,31,50 C 1.3: 1,2,5 NC 1.2: 9,29,34,60 NC 1.3; 3,4 |
Sept. 21 Quiz 1 Lecture #8: Linear Transformations Homework Due: Written Homework #5: C 1.3: 6,7,28,56 C Additional Problems: NC 1.3: 27,55,58 |
Sept. 24 Lecture #9: Matrix of a Linear Transformation Homework Due: R 2.2 |
Sept. 26 Lecture #10: Geometry of Linear Transformation Homework Due: R 2.4(2.3) Written Homework #6: C 2.1: 2,3,6,17,18,45 C Additional Problems: NC 2.1:1,5,16,19 |
Sept. 28 Lecture #11: Composition of Linear Transformations Matrix Multiplication Homework Due: R 2.3(2.4) Written Homework #7: C 2.2: 11,18,19,27,28 C Additional Problems: NC 2.2: 9,16,17,20 |
Oct. 1 Lecture #12: Composition of Linear Transformations Matrix Multiplication Invertible Functions |
Oct. 3 Lecture #13: Inverse of a Linear Transformation Matrix Inverse Homework Due: Written Homework #8: C 2.4 (2.3): 1,6,7,13,74(18) C Additional Problems: NC 2.4(2.3): 2,5,19(75) |
Oct. 5 Quiz 2 Lecture #14: Finding the inverse of a matrix Homework Due: R 3.1 Written Homework #9: C 2.3(2.4): 34,35 C Additional Problems: NC 2.3(2.4): 32,33 |
Oct. 8 Lecture #15: Shoes and Socks Theorem Invertible matrix theorem |
Oct. 10 Lecture #16: Image of a Linear Transformation Span of vectors Homework Due: Written Homework #10: C 2.3(2.4): 2,8,11,16,18,28,32 NC 2.3 (2.4): 3,7,9,13 |
Oct. 12 Exam 1 |
Oct. 15 Lecture #17: Kernel of a Transformation Homework Due: Written Homework #11: C 3.1: 2,6,12(Image only for all 3) C 3.1: 30,32 C Additional Problems: NC 3.1: 5,7 |
Oct. 17 Lecture #18: Properties of the Kernel Subspaces of R^n Homework Due: R 3.2 Written Homework #12: C 3.1: 2,6,12(Kernel only for all 3) C 3.1: 18,21,41,44 NC 3.1: 31,33,35,48 |
Oct. 19 Fall Break |
Oct. 22 Lecture #19: Redundent Vectors Linear Independence Basis Homework Due: R 3.3 |
Oct. 24 Lecture #20: Finding a Basis Uniquness for a Basis Homework Due: Written Homework #13: C 3.1: 51 C 3.2: 1,2,10,15,19 C Additional Problems: NC 3.1: 5 NC 3.2: 3,6,12,17 |
Oct. 26 Quiz 3 Lecture #21: Dimension Homework Due: Written Homework #14: C 3.2: 17,33,41,42(Hint: Do extra first) C Additional Problems: NC 3.2: 18,20,26,34 |
Oct. 29 Lecture #22: Rank and Nullity Theorem Uniquness of Basis Representation Homework Due: R 3.4 |
Oct. 31 Lecture #23: Coordinates Homework Due: Written Homework #15: C 3.3: 2,11,12,18,19,20,59 NC 3.3: 1,5,7,25,62 |
Nov. 2 Lecture #24: B-Matrix Homework Due: R 4.1 Written Homework #16: C 3.3: 61(81),63(83) C 3.4: 1,2,4,7 NC 3.4: 2,8 |
Nov. 5 Lecture #25: Simular Matrices Linear Spaces |
Nov. 7 Lecture #26: Examples of Vector Spaces Subspaces |
Nov. 9 Quiz 4 3.3-3.4 Lecture #27: Examples of Subspaces Basis of a Vector Space Homework Due: Written Homework #17: C 3.4: 19,20,28,39,56 C Additional Problems: NC 3.4: 22,26,67,70 |
Nov. 12 Lecture #28: Coordinates Linear Transformations Homework Due: R 4.2 Written Homework #18: C 4.1: 1,2,4,6,9,10 NC 4.1: 3,7,8 Office Hours Today: 1:30-2:30 |
Nov. 14 Lecture #29: Linear Transformations Homework Due: Written Homework #19: C 4.1: 14,17,18,27,33 C Additional Problems: NC 4.1: 19,31,35,42 |
Nov. 16 Exam 2 |
Nov. 19 Lecture #30: Linear Isomorphisms Homework Due: Written Homework #20: (Maybe turned in on Tuesday) C 4.1: 35, 39 C 4.2: 1,2,4,10 (Ignore the isomorphism part) C Additional Problems: NC: 4.2: 7 |
Nov. 21 Thanksgiving Break |
Nov. 23 Thanksgiving Break |
Nov. 26 Lecture #31: Determinants for 3x3 Homework Due: R 6.1 |
Nov. 28 Lecture #32: Properties of Determinants Homework Due: R 6.2 Written Homework #21: C 4.2: 13,26,31,51 NC 4.2: 22,43,46 |
Nov. 30 Lecture #33: General Determinants Homework Due: R 6.2 Written Homework #22: C 6.1: 4,5,6,12,14 C Additional Problems: NC 6.1: 13,15 |
Dec. 3 Lecture #34: Product of Determinants Eigenvalues Homework Due: R 7.1 |
Dec. 5 Lecture #35: Finding Eigenvalues Characteristic Polynomials Homework Due: R 7.2 Written Homework #23: C 6.2: 2,5,6,11,12,13,14,15 C Additional Problems: NC 6.2: 7,16 |
Dec. 7 Quiz 5 Lecture #36: Eigenvectors Homework Due: R 7.3 Written Homework #24: C 7.1: 1,2,3,4,6,7 C 7.2: 2,4 NC 7.1: 5,8,9 NC 7.2: 6,7,8 |
Dec. 10 Lecture #37: Eigenbasis Homework Due: R 7.4 |
Dec. 12 Lecture #38: Similar Matrices and Eignenvalues Trace Homework Due: R 7.5 Written Homework #25: C 7.3: 6,8,12,23,29 C 7.4: 8,12 NC 7.3: 25, 28 |
Dec. 14 Lecture #39: Review for Final Homework Due: NC 7.3: 33,34 NC 7.4: 35,36,37,38 |
Section 2: Monday, December 17 at 11 AM |