DIFFERENTIAL EQUATIONS

BTS514

Course Code: BTS514
Semester: -
Theory+Practice: 3 + 0
ECTS: 10

Course Type

Elective Course

Course Level

Master's Degree With Thesis

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

students will have learned,the basic methods,theory and applications of Differential Equations

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

There is no recommended optional programme component for this course.

Course Description

Ordinary differential equations, Linear differential equations with constant coefficients. Laplace transformations. Series solutions of differential equations. Numerical solutions of differential equations. Partial differential equations.

Course Contents

WEEK	TOPICS
1^st Week	Differential Equations and their solutions.
2^nd Week	Exact Differential equations and Integrating factors.
3^rd Week	Seperable Equations and Equations Reducible to this form.
4^th Week	Linear Equations and Bernoulli equations.
5^th Week	Applications of first order equations.
6^th Week	Explicit Methods of solving higher order Linear Dıfferential Equations.
7^th Week	The Homogen eous Linear Equation with constant coefficients .The method of undtermined coefficients.
8^th Week	MIDTERM
9^th Week	Variaton of Parameters,The Cauchy Euler Equation.
10^th Week	Applications of second-order Linear Differential equations with constant coefficients.
11^th Week	Series solutions of Linear Differential Equations.Powert Series solutions about Ordinary Point.
12^th Week	Solutions about Singular Points;the method of Frobenius.Bessel's Equation and Bessel Functions.
13^th Week	Systems of Linear Differential Equations.Basic theory of Linear Systems.
14^th Week	Homogeneous Linear Systems with Constant Coefficients.An Operator Method.

Programme Qualifications / Learning Outcomes

	LO1
K1	X
K2
K3
K4
K5	X
K6
K7
K8	X
K9	X
K10	X
K11	X