MATH219 INTRODUCTION TO DIFFERENTIAL EQUATIONS
| Course Code: | 2360219 |
| 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: | Assoc.Prof.Dr. ALİ ULAŞ ÖZGÜR KİŞİSEL |
| Offered Semester: | Fall 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 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. As well as ordinary differential equations, the course aims to introduce the students to certain partial differential equations.
Course Content
First order equations and various applications. Higher order linear differential equations. Power series solutions: The Laplace transform: solution of initial value problems. Systems of linear differential equations: Introduction Partial Differential Equations.
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 behaviour,
- 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 the method of separation of variables in order to solve some basic partial differential equations via Fourier series.