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





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