COURSE INFORMATON 
Course Title Code Semester L+P (Hour) Credits ECTS
Differential Equations MAT101 III 3+0 3 6
Prerequisites none
Language of Instruction English 
Course Level Bachelor
Course Type Compulsory
Course Instructor Asst. Prof. Dr. Ahmet Refah Torun
Assistants  
Goals To teach basic engineering mathematics skills
Content Solutions and application areas of differential equations
 
Learning Outcomes Teaching Methods Assessment Methods
To learn how to solve first order differential Equations 1,2,3,4,6,13 A,C
To learn how to solve higher order linear differential equations 1,2,3,4,6,13 A,C
To learn how to use Laplace transform to solve differential equations 1,2,3,4,6,13 A,C
 
Teaching Methods:  1: Lecture, 2: Question-Answer, 3: Discussion, 4: Drilland Practice, 5: Demonstration, 6: Motivations to Show, 7: Role Playing, 8: Group Study, 9: Simulation, 10: Brain Storming, 11: Case Study, 12: Lab / Workshop, 13: Self Study, 14: Problem Solving, 15: Project Based Learning, 16: Undefined
Assessment Methods:  A: Testing, B: Oral Exam, C: Homework, D: Project / Design, E: Performance Task,           F: Portfolio, G: Undefined
 
COURSE CONTENT
Week Topics Study Materials
1 First Order Differential Equations  
2 Integrating Factors, Separable Differential Equations  
3 Exact Differential Equations  
4 Applications of First Order Differential Equations  
5 Linear Differential Equations with Constant Coefficients  
6 Linear Differential Equations with Constant Coefficients  
7 Revision  
8 Midterm  
9 Method of Undetermined Coefficients  
10 Method of Variation of Parameters  
11 Higher Order Linear Differential Equations  
12 Laplace transform  
13 Laplace transform  
14 Laplace transform  
 
RECOMMENDED SOURCES
Textbook 1. Boyce, Diprima, Meade, Elementary Differential Equations and Boundary Value Problems, Wiley 11th Edition
 
Additional Resources  
 
 
 
MATERIAL SHARING
Documents 1-8 Weeks  
Exam Questions  
9-14 Weeks  
Assignments Homeworks  
Exams Date of Exams  
Date of Quizzes  
 
ASSESSMENT
IN-TERM STUDIES QUANTITY PERCENTAGE
Mid-terms 1 40
Quizes 0 0
Assignments 10 0
Final 1 60
Total 100
CONTRIBUTION OF IN-TERM STUDIES TO OVERALL GRADE 40
CONTRIBUTION OF FINAL EXAMINATION TO OVERALL GRADE 60
Total 100
 
COURSE CATEGORY Fundamental
 
 COURSE'S CONTRIBUTION TO PROGRAM
No Program Learning Outcomes Contribution
1 Knowledge on mathematics, science and basic engineering areas and ability to transform this knowledge to application 5
2 Knowledge on the basic principles of computer engineering and ability to identify, model and solve the problems on this area 5
3 Knowledge on information Technologies and ability to actively use these technologies 5
4 Ability to design experiment, to collect data, to conduct experiments, to analyze and review the results of the experiments in his/her area 5
5 Ability to use modern engineering tools and methods in problem solutions and applications 4
6 Ability to design a system and a system component or a process to meet required specifications and ability to apply this design 4
7 Ability to work in teams from his/her area or in multidisciplinary teams 4
8 Ability to explore the resources to access the information, to use the databases and other information sources 4
9 Awareness for the requirement of life-long learning and ability to renew himself/herself by the application of life-long learning   3
10 Have information about project management, risk management, change management entrepreneurship, and innovation  3
11 Ability to be effective in communication 1
12 Acquisition of specialties as professional self-confidence, behaving independently and creativity 4
13 Awareness of professional and ethical responsibility 1
Contribution: 1: Very-Low, 2: Low, 3: Mid, 4:High, 5:Very-High
ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities Quantity Duration
(Hour)
Total Workload (Hour)
Course Duration (Including the exam week: 16x Total course hours) 16 3 48
Hours for off-the-classroom study (Pre-study, practice) 16 6 96
Assignments 10 4 40
Prject 0 0 0
Mid-terms 1 2 2
Performance Task (Laboratory) 0 0 0
Final Exam 1 2 2
Total Work Load 188
Total Work Load / 30 (h) 6
ECTS Credit of the Course 6