MAT 350 – Applied Linear Algebra

Spring 2024 Syllabus

Course Description: This is a first course in linear algebra and matrices. Topics include systems of linear equations, linear independence, matrices of linear transformations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors. After mastering the basic concepts and skills, students will use their knowledge of linear algebra to model a selection of applied mathematics problems in business, economics, science, computer science, and engineering.

Course Timeline and Notebooks

Below will eventually be a tentative timeline for our course. It includes a detailed set of notes corresponding to each class meeting and assignments following each class meeting. Note that assignments are all available on MyOpenMath.

Class Meeting	During Class	After Class
1	Introduction and What to Expect $\S$ 1.1 - Linear Systems	Week 1 Assignment
2	$\S$ 1.2 - Row Reduction and Echelon Forms	HW 1
3	$\S$ 1.3 - Vector Equations	HW 2
4	$\S$ 1.4 - The Matrix Equation $A\vec{x} = \vec{b}$	HW 3
5	$\S$ 1.5 - Solution Sets of Linear Systems	HW 4
6	$\S$ 1.7 - Linear Independence	HW 5
7	$\S$ 1.8 - Introduction to Linear Transformations
8	$\S$ 1.9 - The Matrix of a Linear Transformation	HW 6
9	Group Exam I
10	Individual Exam I
11	$\S$ 2.1 - Matrix Operations	HW 7
12	$\S$ 2.2 - The Inverse of a Matrix
13	$\S$ 2.3 - Characterizations of Invertible Matrices	HW 8
14	$\S$ 2.7 - Applications to Computer Graphics
15	$\S$ 2.8 - Subspaces of $\mathbb{R}^n$	HW 9
16	$\S$ 2.9 - Dimension and Rank	HW 10
17	$\S$ 3.1 - Introduction to Determinants
18	$\S$ 3.2 - Properties of Determinants	HW 11
19	Additional Problems and Review
20	Group Exam II
21	Individual Exam II
22	$\S$ 5.1 - Eigenvectors and Eigenvalues
23	$\S$ 5.2 - The Characteristic Equation	HW 12
24	$\S$ 6.1 - Inner Product, Length, and Orthogonality
25	$\S$ 6.2 - Orthogonal Sets	HW 13
26	Review
27	Final, Part I
28	Final, Part II (Optional)

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