Math 310: Applied Linear Algebra (Spring 2016)


General Information

Class Number: 33886
Text: Linear Algebra and its Applications. David C. Lay. 5th ed.
Instructor: Chris Skalit
Lectures: MWF 3:00-3:50pm, BSB 140
Grader: TBA
Grader Office Hours: TBA

Click here to see the course syllabus. Quizzes will occur every Friday (except for the first week and exam weeks) and will be based on material covered in the previous week. Homework will not be collected, but will serve as a basis for quiz/exam problems.
Grades and some scans of lecture notes may be found on Blackboard.

Lecture Summary

Week Lecture Date Section Suggested Problems
1 1 January 11 1.1: Systems of Linear Equations 1, 3, 7, 9, 11, 13, 19, 21, 23, 24
2 January 13 1.2: Row Reduction and Echelon Forms 1, 3, 7, 9, 11, 13, 17, 21, 22
3 January 15 1.3: Vector Equations 1, 5, 9, 11, 13, 15, 17, 23, 24
2 - January 18 No Class
4 January 20 1.4: The Matrix Equation Ax=b 5, 7, 11, 13, 15, 17, 19, 21, 23, 24, 25, 31
5 January 22 1.5: Solution Sets of Linear Systems
Quiz 1
1, 3, 5, 9, 11, 17, 23, 24, 27, 28, 32, 37
3 6 January 25 1.7: Linear Independence 1, 5, 7, 11, 13, 15, 19, 21, 22, 27, 29, 37
7 January 27 1.8: Linear Transformations 1, 3, 5. 9, 11, 19, 21, 22, 29, 33
8 January 29 1.9: Matrix of a Linear Transformation
Quiz 2
3, 7, 11, 15, 19, 23, 24, 25, 27
4 9 February 1 2.1: Matrix Operations 1, 3, 5, 7, 9, 15, 16
10 February 3 2.2: Inverse of a Matrix 1, 3, 5, 7, 9, 10, 13, 15, 23, 29, 31, 33
11 February 5 2.3: Characterization of Invertible Matrices
Quiz 3
1, 3, 5, 7, 11, 12, 15, 17, 19, 21
5 12 February 8 2.5: Matrix Factorization 1, 3, 5, 7, 9, 11
13 February 10 3.1: Introduction to Determinants 1, 3, 5, 7, 11, 13, 25, 27, 29
14 February 12 3.2: Properties of Determinants
Quiz 4
5, 7, 9, 11 13, 17, 21, 25, 27, 28
6 15 February 15 3.3: Cramer's Rule 1, 3, 5, 7, 9, 19, 21, 23
16 February 17 Review for Exam 1
- February 19 Exam 1
7 17 February 22 4.1: Vector Spaces and Subspaces 1, 3, 5, 7, 9, 11, 13, 15, 17, 21
18 February 24 4.2: Nullspace, Column Space, Linear Transformations 3, 5, 7, 9, 15, 17, 19, 23
19 February 26 4.3: Linear Independence and Bases
Quiz 5
1, 3, 5, 9, 11, 13, 15
8 20 February 29 4.4: Coordinate Systems 1, 3, 7, 9, 11, 13, 27, 29, 31
21 March 2 4.5: Dimension 1, 3, 5, 7, 9, 11, 13, 15, 21, 23
22 March 4 4.6: Rank
Quiz 6
1, 3, 5, 7, 9, 11, 13, 15
9 23 March 7 4.7: Change of Basis 1, 3, 5, 7, 9, 13, 14
24 March 9 5.1: Eigenvalues and Eigenvectors 1, 3, 5, 7, 9, 11, 13, 15
25 March 11 5.2: The Characteristic Polynomial
Quiz 7
1, 3, 5, 7, 9, 11, 13, 15, 17
10 26 March 14 5.3: Diagonalization 1, 5, 7, 9, 11, 13, 15, 17
27 March 16 5.4: Eigenvalues and Linear Transformations 1, 3, 5, 7, 9, 11, 13, 15, 17
28 March 18 5.5: Complex Eigenvalues
Quiz 8
1, 3, 5, 13, 15, 17, 19
9 29 March 28 4.9: Markov Chains 1, 3, 5, 7, 9, 11, 13
30 March 30 5.7: Differential Equations (Real Case) 1, 3, 5, 7
32 April 1 5.7: Differential Equations (Complex Case)
Quiz 9
9, 11, 13
12 32 April 4 6.1: Dot Products 1, 3, 5, 7 , 9 , 11, 13, 15, 17, 23, 25
33 April 6 Review for Exam 2
- April 8 Exam 2
13 34 April 11 6.2 Orthogonal Sets 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21
35 April 13 6.3 Orthogonal Projections 3, 5, 7, 9, 11, 13, 15, 17
36 April 15 6.4 Gram-Schmidt
Quiz 10
1, 3, 5, 7, 9, 11
14 37 April 18 6.5 Least Squares 1, 3, 5, 7, 9, 11, 13, 17, 18
38 April 20 6.6 Applications to Linear Models 1, 2, 3, 4, 7, 9
39 April 22 7.1 Diagonalization of Symmetric Matrices
Quiz 11
7, 9, 11, 13, 15, 17, 19, 23
15 40 April 25 7.4: The Singular Value Decomposition 1, 3, 5, 7, 9, 11
41 April 27 Review
42 April 29 Quiz 12

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