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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