Linear Algebra (V63.0140-001)MW 8:55-10:45 AM, 411 Waverly (Silver)Office Hours: MW 10:45-11:45, F 11-12 (WWH 707)Syllabus (PDF) Lecture 1 (09/05): (1.1-1.2) Solving linear equations, row reduction, echelon form Lecture 2 (09/10): (1.3) Vector Equations HW 1 DUE: 09/17 (before class!) Lecture 3 (09/12): (1.4-1.6) Matrix Equations, solution sets of linear systems, applications (Make sure to read section 1.6 as it was not all covered in class) QUIZ 1 : Next Wednesday, 09/19 Lecture 4 (09/17): (1.7-1.8) Linear independence and matrix transformations HW 2 DUE: 09/24 (before class!) Lecture 5 (09/19): (1.8-1.9) Linear Transformations and Quiz 1 (Make sure to read over the charts of the different linear transformations in two dimensions: reflections, contractions and expansions, shears, and projections.) Quiz 1 (I will put up a copy of the solutions shortly) Lecture 6 (09/24): (1.9 and 2.1) Linear transformations and matrix operations) HW 3 DUE: 10/01 (before class!) Lecture 7 (09/26): (2.1 and 2.2) Transposes and inverses QUIZ 2 : Wednesday, 10/10 Lecture 8 (10/1): (2.3, 2.4, and 2.5) Inverses, partitioned matrices, and factorizations HW 4 Due: 10/10 (before class!) Lecture 9 (10/3): (2.5, 2.6 and 2.7) LU factorization, Leontief input-output model, and computer graphics (Make sure to read section 2.7 as it was not all covered in class) Change in syllabus: we will not be covering section 2.8 until we get to chapter 4 Note: Change in office hours above (I just added Fridays 11-12) HW 2 and HW 3 will be available on my office door by Tuesday (10/9) morning for pickup Lecture 10 (10/10): (3.1, 3.2) Determinants and Quiz 2 Midterm: Monday Oct 22 HW 5 Due: 10/17 (before class!) Quiz 2 Lecture 11 (10/15): (3.2 and 3.3) Determinants and Cramer's Rule Lecture 12 (10/17): (3.3) Determinants and Review for Midterm HW 6 Due: 10/24 (before class!) Homework solutions will be in an envelope outside my door. Induction Example Lecture 13 (10/22): Midterm Midterm Lecture 14 (10/24): (4.1 and 4.2) Vector spaces, subspaces, null spaces, and column spaces HW 7 Due: 10/31 (before class!) Lecture 15 (10/29): (4.3 and 4.4) Bases and coordinate systems Lecture 16 (10/31): (4.5 and 4.6) Dimensions of vector spaces and rank QUIZ 3 : Next Wednesday, 11/07 HW 8 Due: 11/07 (before class!) Lecture 17 (11/05): (4.7 and 4.9) Change of Bases and Markov Chains We will not be doing section 4.8. Lecture 18 (11/07): (5.1) Eigenvectors and Eigenvalues and Quiz 3 HW 9 Due: 11/14 (before class!) Quiz 3 Lecture 19 (11/12): (5.2 and 5.3) Characteristic equation and diagonalization Lecture 20 (11/14): (5.4 and 5.5 and Appendix B) Make sure to read Appendix B if you are not familiar with complex numbers or need a refresher. HW 10 Due 11/21 (before class!) Lecture 21 (11/19): (5.5 and 5.6) Complex Eigenvalues and Discrete Dynamical Systems Lecture 22 (11/21): Class was cancelled. Please look over sections 6.1 and 6.2 Lecture 23 (11/26): (6.1 and 6.2) Inner products, Length, Distance, Orthogonality, and Orthogonal Sets. Quiz 4 : Next Monday, 12/03 HW 11 Due 12/03 (before class!) Lecture 24 11/28: (6.2-6.4) Orthonormal Sets, Orthogonal Projections, and the Gram Schmidt Process. Quiz 4 : Monday 12/03 will cover through page 404. Lecture 25 12/03: (6.4, 6.5, and 6.7) Quiz 4, Orthonormal Basis and QR factorization, Least Squares Solutions, Inner Products (We will not be doing 6.6). FINAL TIME IS DIFFERENT THEN WHAT IS ON THE SYLLABUS: Dec 19, 8-9:50 AM HW 12 Due 12/10 (before class!) Quiz 4 Lecture 26 12/05: (6.7 and 7.1) Inner Product Spaces and Diagonalization of Symmetric Matrices Lecture 27 12/10: (7.2 and 7.3) Quadratic Forms and Constrained Optimization Problems Lecture 28 12/12: (7.4) SVD and review for the final Chap 7 Problems (Optional) Final |