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Undergraduate Catalog Description: Matrices, row operations with matrices, determinants, systems of linear equations, vector spaces, linear transformations, inner products, eigenvalues and eigenvectors. Credit not given for both Math 3110 and Math 3120. Prerequisites: Math 2530 and and Math 2660.

Vectors, Matrices, Vector Spaces and Linear Transformations are the principal objects of study in this course in linear algebra. General 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

1. 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.
2. 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.
3. Students will be able to demonstrate the ability to prove basic results about fundamental concepts of the course.
4. Students will be able to demonstrate the ability to correctly write the statements of important theorems.
5. Students will be able to demonstrate the ability to recognize when and how to apply important theorems.
6. Students will be able to demonstrate the ability to work with and devise examples that illustrate basic concepts of the course.
7. Students will be able to demonstrate readiness for more advanced study of algebraic structures and other areas of mathematics that use linear algebra.

Chapter 1: Systems of Linear Equations
Chapter 2: Linear Independence and Dimension
Chapter 3: Linear Transformations
Chapter 4: Determinants
Chapter 5: Eigenvectors and Eigenvalues
Chapter 6: Orthogonality

Test 1: Friday, February 15
Test 2: Wednesday, March 20
Test 3: Wednesday, April 24
Final: Friday, May 10, at 12 p.m.