Academic Catalog

MATH254 DIFFERENTIAL EQUATIONS

Course Code: 2360254
METU Credit (Theoretical-Laboratory hours/week): 4(4-0)
ECTS Credit: 7.0
Department: Mathematics
Language of Instruction: English
Level of Study: Undergraduate
Course Coordinator: Prof.Dr. MUSTAFA HURT NSPER
Offered Semester: Fall Semesters.
Prerequisite: Set 1: 2360156 | 2360260
Set 2: 2360152 | 2360260
Set 3: 2360154 | 2360261
Set 4: 2360120 | 2360260
Set 5: 2360120 | 2360261
Set 6: 2360118 | 2360260
Set 7: 2360118 | 2360261
One of the sets above should be completed before taking MATH254 DIFFERENTIAL EQUATIONS .

Course Content

Existence and uniqueness theorems. First order equations. Trajectories. 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. Partial differential equations, separation of variables and Fourier series.