Math 244, Linear Analysis I

Course Objectives

1. Develop an understanding of the elementary theory of ordinary differential equations and their solutions in the context of separable and first order linear ordinary differential equations.
2. Recognize situations where these equations arise in selected mathematical models.
3. Develop an understanding of linear algebra in Euclidean n-space and how vectors and matrices are used to solve systems of equations, both algebraic and differential.
4. Learn the terminology and methods of solution of higher order linear differential equations, especially methods for constant coefficient homogeneous and forced equations.
5. Study selected applications: mass-spring systems, LRC circuits.
6. Learn how a computer algebra system (Maple) can be used to make useful computations in this course.

Text

Goode and Annin, Differential Equations and Linear Algebra, 3rd Edition, Pearson/Prentice-Hall, 2007

Coverage

1. Chapter 1. First-Order Differential Equations
2. Chapter 2. Matrices and Systems of Linear Equations
3. Chapter 3. Determinants
4. Chapter 4. Vector Spaces
5. Chapter 5. Linear Transformations
6. Chapter 6. Linear Differential Equations of Order n
7. Chapter 7. Systems of Differential Equations

Homework, Quizzes, Lab Work, Exams, etc.

• Homework will be assigned and tested on homework quizzes and in group work assignments.
• Occasional Lab work will be assigned.
• There will two midterms and a comprehensive final exam on Friday, June 10, 10 - 1.

Grades

Office Hours (subject to change)

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