MATH343 ORDINARY DIFFERENTIAL EQUATIONS
| Course Code: | 2360343 |
| METU Credit (Theoretical-Laboratory hours/week): | 4 (4.00 - 0.00) |
| ECTS Credit: | 7.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
The objectives of this course are to introduce the student with the concept of a differential equation, basic techniques for solving certain classes of ordinary differential equations, especially those which are linear, and making connections between the qualitative features of the equation and the solutions. Connections to problems from the physical world are emphasized
Course Content
Existence and uniqueness theorems. First order equations. Trajectories. Phase
portraits. Higher order linear equations; undetermined coefficients, variation of
parameters and operator methods. Power series solutions. Laplace transform
solutions of IVPs. Theory of linear systems. Solutions by operator, Laplace and
linear algebra methods. Numerical solutions of some ODE`s.
Course Learning Outcomes
By the end of this course, a student will:
- Classify and identify different types of differential equations,
- Explicitly solve several important classes of ordinary differential equations and interpret their qualitative behavior,
- Apply ideas from linear algebra in order to solve single linear ordinary differential equations and systems of such equations,
- Model certain physical phenomena using differential equations and reinterpret their solutions physically,
- Use power series methods to solve second order linear differential equations,
- Apply the Laplace transform for solving differential equations,
- Use numerical methods to solve some ODE’s.