INTERNATIONAL BURCH UNIVERSITY
Faculty of Engineering and Natural Sciences
Department of Information Technologies
20162017
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 
Differential Equations: Firstorder differential equations, secondorder linear equations, Wronskian, change of parameters, homogeneous and nonhomogeneous equations, series solutions, Laplace transform, systems of firstorder linear equations, boundary value problems, Fourier series. 
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 Ordinary Differential Equations: Separable and homogeneous linear DE.
 First order ODEs: Exact DE
 First order ODEs: Solution by integrating factor.
 First order ODEs: Linear DE
 First order nonlinear ODEs: Special case of Bernoulli
 Second order linear ODE: Introduction. Some definitions. Linear independency. Boundary and initial value problems
 Exercises
 Explicit methods: Undetermined coefficient method. Variation of parameters method.Constant coefficient higher order DE: Method of Undetermined Coefficients, Variable coefficient higher order DE
 CauchyEuler Equation; application of Second order DE with constant Coefficient
 Series solution of DE; power series
 Bessel Equation
 System of DE

Description 
 Interactive Lectures
 Practical Sessions
 Excersises

Description (%) 
Homework   20  Midterm Exam(s)   20  Attendance   10  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  10  10  Preparation for Final Examination  1  10  10  Assignment / Homework/ Project  1  20  20  Seminar / Presentation    0 
