INTERNATIONAL BURCH UNIVERSITY
Faculty of Engineering and Natural Sciences
Department of Information Technologies
2015-2016

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
Nuh Aydin, Prof. Dr. Željko Jurić, Assoc. 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
Week
Topic
  1. Introduction, Types of differential equations.
  2. First Order Differential Equations
  3. First Order Differential Equations
  4. Second Order Linear Equations
  5. Second Order Linear Equations
  6. Higher Order Linear Equations
  7. Series Solutions of Second Order Linear Equations
  8. Series Solutions of Second Order Linear Equations
  9. The Laplace Transform
  10. The Laplace Transform
  11. Systems of First Order Linear Equations
  12. Nonlinear Differential Equations and Stability
  13. Partial Differential Equations and Fourier Series
  14. Boundary Value Problems and Sturm–Liouville Theory

LABORATORY/PRACTICE PLAN
Week
Topic

    TEACHING/ASSESSMENT
    Description
    • Practical Sessions
    • Excersises
    Description (%)
    Method Quantity Percentage (%)
    Homework20
    Midterm Exam(s)30
    Final Exam150
    Total: 100
    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 McGraw-Hill, 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
    Activities Quantity Duration (Hour) Total Work Load
    Lecture (14 weeks x Lecture hours per week)14228
    Laboratory / Practice (14 weeks x Laboratory/Practice hours per week)14228
    Midterm Examination (1 week)122
    Final Examination(1 week)122
    Preparation for Midterm Examination11616
    Preparation for Final Examination12424
    Assignment / Homework/ Project 0
    Seminar / Presentation 0
    Total Workload: 100
    ECTS Credit (Total workload/25): 4