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### General Information, Syllabus, Assessment and Test Dates

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.

### 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 prove basic results about fundamental concepts of the course.
- 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.

### Syllabus

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

### Assessment

1. | Homework and group work | 20% |

2. | WeBWorK | 10% |

3. | Tests | 42% |

4. | Final Examination | 28% |

### Test Schedule

Test 1: Friday, February 15

Test 2: Wednesday, March 20

Test 3: Wednesday, April 24

Final: Friday, May 10, at 12 p.m.