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MATH 152 - Linear Systems

Instructor: Nate Bade
Section 207, MWF 12:00-1:00, MCLD 228 (M), CHEM C126 (WF)
Office: MATH 229A
Office Hours: M 1:00 - 2:30; Th 3:30 - 5:00
Contact:
Primary Textbook: Linear Systems by Froese and Wetton
Alternative Text: Introduction to Linear Algebra for Science and Engineering by Daniel Norman

Weekly Schedule

Week 1
Jan. 3-5

Vectors and coordinate representation; vector length.

Notes sections 2.1, 2.2, 2.3

Week 2
Jan. 8-12

Dot product, projection; determinants; cross product; lines in 2D, lines and planes in 3D.

Notes sections 2.3, 2.4, 2.5

Week 3
Jan. 15-19

Lines and planes (continued); geometry of solutions of linear systems; linear dependence and independence.

Notes sections 2.5, 2.6

Week 4
Jan. 22-26

Solving linear systems; echelon form, reduced row echelon form, rank; homogeneous equations.

Lab 1: Jan. 26, 10PM

Notes sections 3.1, 3.2, 3.3

Week 5
Jan. 29 - Feb. 2

Homogeneous systems (continued); geometric applications; resistor networks.

Lecture Videos: Lecture 14

Notes sections 3.3, 3.4, 3.5

Week 6
Feb. 5-9

Matrix multiplication; linear transformations.

Lecture Videos: Lecture 17

Midterm 1 Thursday February 8, 6-7PM

Lab 2: Feb. 9, 10PM

Notes sections 4.1, 4.2

Week 7
Feb. 12-16

Holiday Monday Feb. 12. Rotations, projections and reflections in 2D; matrix representation and composition of linear transformations; random walks.

Notes sections 4.2, 4.3, 4.4

Spring Break
Feb. 19-23

Spring Break!

Week 8
Feb. 26 - Mar. 2

Random walks (continued); transpose; matrix inverse; determinants.

Lab 3: Mar. 2, 10PM

Notes sections 4.3, 4.4, 4.5, 4.6

Week 9
Mar. 5-9

Determinants (cont.); complex numbers; complex exponential and polar form.

Notes sections 4.6, 5.1, 5.2, 5.3, 5.4

Week 10
Feb. 12-16

Eigenvalues and eigenvectors.

Midterm 2 Thursday March 15, 6-7PM

Lab 4: Mar. 16, 10PM

Notes sections 6.1

Week 11
Mar. 19-23

Eigenvalues and eigenvectors (cont.); powers of a matrix; application of eigen-analysis to random walks.

Notes sections 6.1, 6.2

Week 12
Mar. 26-30

Vector differential equations; application of vector DEs to electrical networks.

Lab 5: Mar. 30, 10PM

Notes sections 6.3, 6.4

Week 13
Apr. 2-6

Complete course material; review.

Lab 6: Apr. 6, 10PM

Notes sections 2.1 - 6.4