INTERNATIONAL BURCH UNIVERSITY
Faculty of Engineering and Natural Sciences
Department of Information Technologies
20142015
SYLLABUS 
Code 
Name 
Level 
Year 
Semester 
MTH 201 
Differential Equations 
Undergraduate 
2 
Fall 
Status 
Number of ECTS Credits 
Class Hours Per Week 
Total Hours Per Semester 
Language 
Compulsory 
4 
2 + 2 
100 
English 
Instructor 
Assistant 
Coordinator 
Nejdet Dogru, Assist. Prof. Dr. 
M.Sc.Hakan Şahin 
Nejdet Dogru, Assist. Prof. Dr. 
[email protected] 

no email 
COURSE OBJECTIVE 
Introduce basic topics and solution techniques of differential equations.
Develop an appreciation for the development of mathematical thought and the contributions that mathematics has made to our world.
Expand understanding of advanced mathematical topics and their applications with real life problems and analyzing the results. 
COURSE CONTENT 
 Introduction, Types of differential equations.
 First Order Differential Equations
 First Order Differential Equations
 Second Order Linear Equations
 Second Order Linear Equations
 Higher Order Linear Equations
 Series Solutions of Second Order Linear Equations
 Series Solutions of Second Order Linear Equations
 The Laplace Transform
 The Laplace Transform
 Systems of First Order Linear Equations
 Nonlinear Differential Equations and Stability
 Partial Differential Equations and Fourier Series
 Boundary Value Problems and Sturm–Liouville Theory

Description 
 Lectures
 Practical Sessions
 Excersises

Description (%) 
Quiz   10  Midterm Exam(s)   40  Final Exam  1  50 

Learning outcomes 
 Solve various differential equations using various integration methods from calculus.
 Apply these solutions to various motion problems.
 Solve and apply differential equations by the method of infinite series
 Solve more complex differential equations using Laplace Transforms.

TEXTBOOK(S) 
 W. E. Boyce and R. C. DiPrima, “Elementary Differential Equations and Boundary Value Problems” John Wiley and Sons, Ltd., 2001.
 Steven G. Krantz, Differential Equations Demystified, The McGrawHill, 2005.
 E. Kreyszig, Advanced Engineering Mathematics, John Wiley & Sons, Inc., 2006.
 Shepley L. Rose, “Differential Equations,” John Wiley & Son, Ltd.

ECTS (Allocated based on student) WORKLOAD 
Lecture (14 weeks x Lecture hours per week)  14  2  28  Laboratory / Practice (14 weeks x Laboratory/Practice hours per week)  14  2  28  Midterm Examination (1 week)  1  2  2  Final Examination(1 week)  1  2  2  Preparation for Midterm Examination  1  16  16  Preparation for Final Examination  1  24  24  Assignment / Homework/ Project    0  Seminar / Presentation    0 
