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General Course Information
Undergraduate Catalog Description: Systems of linear equations, matrices, linear programming, determinants, vector spaces, inner product spaces, eigenvalues and eigenvectors, linear transformations, and numerical methods. Credit not given for both Math 3110 and Math 3120. Spring semester. Prerequisite: A grade of "C-" or better in Math 1520 and a knowledge of vectors.
Important (for students): the official class syllabus is available on Canvas. Read it.
Objectives
- Develop a thorough understanding of the concepts and techniques of linear algebra
- Further develop the ability to apply your knowledge to solve problems
- (Further) develop skills for working effectively with others on mathematics problems
Student Learning Objectives
- Students will be able to demonstrate the ability to write formal definitions of fundamental concepts of the course, e.g., linear independence, vector space, subspace, determinant, linear transformation, inner product, eigenvalues, eigenvectors.
- Students will be able to demonstrate the ability to perform the basic computations of linear algebra, e.g., row reduction of matrices, solving linear systems of equations, finding inverses of matrices, computing determinants, finding eigenvalues and eigenvectors.
- Students will be able to demonstrate the ability to correctly write the statements of important theorems.
- Students will be able to demonstrate the ability to recognize when and how to apply important theorems.
- Students will be able to demonstrate the ability to work with and devise examples that illustrate basic concepts of the course.
- Students will be able to demonstrate readiness for more advanced study of algebraic structures and other areas of mathematics that use linear algebra.
Topics Covered
Chapter 1: Introduction to Vectors
Chapter 2: Solving Linear Equations
Chapter 3: Vector Spaces and Subspaces
Chapter 4: Orthogonality
Chapter 5: Determinants
Chapter 6: Eigenvalues and Eigenvectors (omit 6.3)
Chapter 7: Single Value Decomposition
Chapter 8: Linear Transformations
Chapter 11: Numerical Linear Algebra (11.1, 11.2)
Assessment
| 1. | Homework | 20% |
| 2. | WeBWorK | 10% |
| 3. | Tests | 42% |
| 4. | Final Examination | 28% |
Each group work must be completed. It must be submitted in class on paper by the first listed deadline, and any corrections must be submitted by the final listed deadline. The deadlines are provided in Canvas and on the assigned work pages of this site.
Each online WeBWorK homework assignment must be completed by the listed deadline.
Important: the dates listed below are subject to adjustment, for example, for unexpected/unpredictable events.
Test Schedule
Test 1: Wednesday, February 15
Test 2: Friday, March 24
Test 3: Wednesday, April 26
Final: Wednesday, May 10, at 8 a.m.