Faculty of Engineering and Natural Sciences · Software Engineering (English) · Undergraduate
ECTS: 5 T+P+L: 3+0+0 Compulsory
Coordinator: Doç. Dr. Sinem GÜLER
Course Objective
To comprehend the mathematical formulation of ordinary differential equations and to find solutions of the first order and second order differential equations.
Course Content
Covers mathematical formulation of ordinary differential equations, methods of solution and applications of first order and second order differential equations, power series solutions, solutions by Laplace transforms and solutions of first order linear systems.
Course Learning Outcomes
- Classify a given differential equation as ordinary or partial, and determine its order and whether or not it is linear.
- Solve first-order linear ordinary differential equations.
- Apply reduction of order to find a second linearly independent solution for a homogenous differential equation, given one solution.
- Compute real valued linearly dependent solutions to homogenous ordinary differential equations with constant coefficients.
- Apply variation of parameters and method of undetermined coefficients to find a particular solution.
- Formulate and solve appropriately applied engineering.
- Compute power-series solutions to certain differential equations with variable coefficients.
- Apply the Laplace transform to solve a given Initial-Value problem and solve systems of linear differential equations
Core Area Distribution
(46) Mathematics and Statistics%60 (52) Engineering and Engineering Trades%40