Syllabus ( MATH 215 )
Basic information  
Course title:  Differential Equations  
Course code:  MATH 215  
Lecturer:  Prof. Dr. Mansur İSGENDEROĞLU (İSMAİLOV)  
ECTS credits:  5  
GTU credits:  3 (2+2+0)  
Year, Semester:  2021, Fall  
Level of course:  First Cycle (Undergraduate)  
Type of course:  Compulsory  
Language of instruction:  English  
Mode of delivery:  Face to face  
Pre and corequisites:  none  
Professional practice:  No  
Purpose of the course:  To gain understanding and analysis abilities on Differential Equations ans Systems  
Learning outcomes  
Upon successful completion of this course, students will be able to:

Classify differential equations
Contribution to Program Outcomes
 Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
 Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
 Having improved abilities in mathematics communications, problemsolving, and brainstorming skills.
Method of assessment
 Written exam
 Homework assignment

To solve first and higher order differential equations and systems of linear differential equations
Contribution to Program Outcomes
 Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
 Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
 Describing, formulating, and analyzing reallife problems using mathematical and statistical techniques.
 Having improved abilities in mathematics communications, problemsolving, and brainstorming skills.
Method of assessment
 Written exam
 Homework assignment

To solve the differential equations by applying Laplace transform
Contribution to Program Outcomes
 Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
 Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
 Having improved abilities in mathematics communications, problemsolving, and brainstorming skills.
Method of assessment
 Written exam
 Homework assignment

To solve differential equations with variable coefficients
Contribution to Program Outcomes
 Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
 Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
 Having improved abilities in mathematics communications, problemsolving, and brainstorming skills.
Method of assessment
 Written exam
 Homework assignment

Power series solutions of differential equations
Contribution to Program Outcomes
 Having the knowledge about the scope, applications, history, problems, and methodology of mathematics that are useful to humanity both as a scientific and as an intellectual discipline.
 Communicating between mathematics and other disciplines, and building mathematical models for interdisciplinary problems.
 Having improved abilities in mathematics communications, problemsolving, and brainstorming skills.
 Using technology as an efficient tool to understand mathematics and apply it.
Method of assessment
 Written exam
 Homework assignment
Assessment  
Method of assessment  Week number  Weight (%) 
Midterms:  612  40 
Other interm studies:  0  
Project:  0  
Homework:  4,10  10 
Quiz:  0  
Final exam:  16  50 
Total weight:  (%) 
