Civil Engineering  
Bachelor  Length of the Programme: 4  Number of Credits: 240  TRNQFHE: Level 6  QFEHEA: First Cycle  EQF: Level 6 
School/Faculty/Institute  Faculty of Engineering  
Course Code  MATH 213  
Course Title in English  Differential Equations  
Course Title in Turkish  Diferansiyel Denklemler  
Language of Instruction  EN  
Type of Course  Exercise,Flipped Classroom,Lecture  
Level of Course  Introductory  
Semester  Spring,Fall  
Contact Hours per Week 


Estimated Student Workload  178 hours per semester  
Number of Credits  7 ECTS  
Grading Mode  Standard Letter Grade  
Prerequisites 
MATH 106  Calculus II  MATH 116  Calculus II 

Corequisites  None  
Expected Prior Knowledge  Prior knowledge of differentiation and integration of single and multivariable functions is required.  
Registration Restrictions  Only Undergraduate Students  
Overall Educational Objective  To learn the methods of solution of ordinary differential equations.  
Course Description  This course introduces ordinary differential equations, discusses their methods of solutions and introduces vectorvalued functions Topics include: First order differential equations, second order linear differential equations, higher order linear differential equations, series solutions of linear differential equations, initial value problems, Laplace transforms and systems of first order linear differential equations. Vectorvalued functions, the divergence and curl of vectorvalued functions and their geometric applications. 
Course Learning Outcomes and CompetencesUpon successful completion of the course, the learner is expected to be able to:1) Apply the methods of solution of first order differential equations; 2) Solve first, second and higher order linear differential equations; 3) Find the series solution of linear differential equations; 4) Solve the initial value problem of linear equations by Laplace transform; 5) Solve systems of linear differential equations; 6) Utilize vectorvalued functions, evaluate their divergence and curl, and use their properties for geometric applications. 
Program Learning Outcomes/Course Learning Outcomes  1  2  3  4  5  6 

1) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics  
2) An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors  
3) An ability to communicate effectively with a range of audiences  
4) An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts  
5) An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives  
6) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions  
7) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies 
N None  S Supportive  H Highly Related 
Program Outcomes and Competences  Level  Assessed by  
1)  An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics  H  Exam,Participation 
2)  An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors  N  
3)  An ability to communicate effectively with a range of audiences  N  
4)  An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts  N  
5)  An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives  N  
6)  An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions  N  
7)  An ability to acquire and apply new knowledge as needed, using appropriate learning strategies  N 
Prepared by and Date  CANFUAD DELALE , December 2018 
Course Coordinator  CANFUAD DELALE 
Semester  Spring,Fall 
Name of Instructor  Prof. Dr. AYŞE SOYSAL 
Week  Subject 
1)  First order differential equations 
2)  First order differential equations 
3)  Second order linear differential equations 
4)  Second order linear differential equations 
5)  Higher order linear differential equations 
6)  Series solutions of linear differential equations 
7)  Series solutions of linear differential equations 
8)  Initial value problems and Laplace transform 
9)  Initial value problems and Laplace transform 
10)  Initial value problems and Laplace transform 
11)  System of linear differential equations 
12)  System of linear differential equations 
13)  Vectorvalued functions, the divergence and curl of vectorvalued functions and their geometric applications 
14)  Vectorvalued functions, the divergence and curl of vectorvalued functions and their geometric applications 
15)  Final Exam/Project/Presentation Period 
16)  Final Exam/Project/Presentation Period 
Required/Recommended Readings  W.E. Boyce and R.C. DiPrima, Elementary Differential Equations and Boundary Value Problems, Tenth Ed., Wiley, 2013.  
Teaching Methods  Lectures/contact hours using “flipped classroom” as an active learning technique  
Homework and Projects  None  
Laboratory Work  None  
Computer Use  None  
Other Activities  None  
Assessment Methods 


Course Administration 
canfuat.delale@mef.edu.tr (0212) 3953651 Instructor’s office and phone number: 5th Floor, (0212) 3953651 office hours: Wednesday 13:0015:00 email address: canfuat.delale@mef.edu.tr Rules for attendance: Classroom practice contributes to 20% of the final grade. Missing a quiz: Provided that proper documents of excuse are presented, each missed quiz by the student will be given a grade by taking the average of all of the other quizzes. No makeup will be given. Missing a midterm: Provided that proper documents of excuse are presented, each missed midterm by the student will be given the grade of the final exam. No makeup will be given. Missing a final: Faculty regulations. A reminder of proper classroom behavior, code of student conduct: YÖK Regulations Statement on plagiarism: YÖK Regulations 
Activity  No/Weeks  Calculation  
No/Weeks per Semester  
Course Hours  28  224  
Quiz(zes)  4  28  
Midterm(s)  4  56  
Final Examination  2  48  
Total Workload  356  
Total Workload/25  14.2  
ECTS  7 