| 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 |
| Lecture: 4 |
Recitation: none |
Lab: none |
Other: none |
|
| Estimated Student Workload |
178 hours per semester |
| Number of Credits |
7 ECTS |
| Grading Mode |
Standard Letter Grade
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| Pre-requisites |
MATH 106 - Calculus II | MATH 116 - Calculus II
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| Expected Prior Knowledge |
Prior knowledge of differentiation and integration of single and multivariable functions is required. |
| Co-requisites |
None |
| 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 vector-valued 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. Vector-valued functions, the divergence and curl of vector-valued functions and their geometric applications.
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| Course Description in Turkish |
Bu ders diferansiyel denklemleri, onların çözüm yöntemlerini ve vektör-değerlikli fonksiyonları kapsar. Kapsanan konular: Birinci mertebeden diferansiyel denklemler, ikinci mertebeden diferansiyel denklemler, yüksek mertebeden diferansiyel denklemler, diferansiyel denklemlerin seri çözümü, başlangıç değer problemleri, Laplace dönüşümü ve birinci mertebeden diferansiyel denklem sistemleri. Vektör-değerlikli fonksiyonlar, diverjans, rotasyonel işlemleri ve geometric uygulamaları. |
Course Learning Outcomes and Competences
Upon 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 vector-valued functions, evaluate their divergence and curl, and use their properties for geometric applications.
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| Program Learning Outcomes/Course Learning Outcomes |
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6 |
| 1) An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics |
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| 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 |
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| 3) An ability to communicate effectively with a range of audiences |
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| 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 |
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| 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 |
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| 6) An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions |
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| 7) An ability to acquire and apply new knowledge as needed, using appropriate learning strategies. |
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Relation to Program Outcomes and Competences
| N None |
S Supportive |
H Highly Related |
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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 |
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| Prepared by and Date |
CANFUAD DELALE , December 2018 |
| Course Coordinator |
CANFUAD DELALE |
| Semester |
Spring,Fall |
| Name of Instructor |
Prof. Dr. AYŞE SOYSAL |
Course Contents
| 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) |
Vector-valued functions, the divergence and curl of vector-valued functions and their geometric applications |
| 14) |
Vector-valued functions, the divergence and curl of vector-valued functions and their geometric applications |
| 15) |
Final Examination Period |
| 16) |
Final Examination 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 |
| Assessment Tools |
Count |
Weight |
| Application |
28 |
% 20 |
| Quiz(zes) |
2 |
% 20 |
| Midterm(s) |
3 |
% 60 |
| TOTAL |
% 100 |
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| Course Administration |
canfuat.delale@mef.edu.tr
(0212) 3953651
Instructor’s office and phone number: 5th Floor, (0212) 3953651
office hours: Wednesday 13:00-15:00
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 make-up 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 make-up 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
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Information Package / Course Catalogue