FACULTY OF ENGINEERING
MECHANICAL ENGINEERING
MECHANICAL ENGINEERING
Course Name   DIFFERENTIAL EQUATIONS
Semester Course Code Theoretical / Practice time ECTS
3 1210311 3 / 0 4
Course Degree Bachelor's degree
Course Language İngilizce
Format of Delivery: Face to Face
Course Coordinator
Coordinator e-mail
Instructors
Asistant Instructors
Course Objectives to understand the general theory of differential equations and the basic techniques for solving differential equations. To have an insight of the differential equations in engineering branches.
Basic Sciences Engineering Scinces Social Sciences Educational Sciences Artistic sciences Medical Science Agricultural sciences
85 15 0 0 0 0 0
Course Learning Methods and Techniquies
delivery, question-answer, group study, homeworks and some elective projects.
Week Course Content Resource
1 Introductory basic concepts 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
2 Direction field and phase line 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
3 Existence and uniqueness of differential equations. 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
4 First order differential equations and seperable equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
5 Linear and Bernoulli equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
6 Riccati equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
7 First order homogeneous equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
8 MIDTERM
9 Exact equations and integrating factor 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
10 Applications of first order equations in various fields 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
11 Second order linear homogeneous equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
12 Higher order homogeneous equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
13 Higher order non-homogeneous equations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
14 Laplace transformation and functions of exponential-order 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
15 Inverse Laplace transform and convolution theoremequations 1- Fundamentals of Differential equations and Boundary value problems, K.Nagle, E.B. Saff, A.D.Snider, Addison-Wesley Publ., 6th edition, 2012. 2- Differential equations, S. L. Ross, John-Wiley P.,1974. 3-Edwards, C., and D. Penney. Elementary Differential Equations with -Boundary Value Problems, Prentice Hall, 2003
Assesment Criteria   Mid-term exam Final exam
  Quantity Percentage Quantity Percentage  
Term Studies : - - - -
Attendance / Participation : - - - -
Practical Exam : - - - -
Special Course Exam : - - - -
Quiz : - - - -
Homework : - - - -
Presentations and Seminars : - - - -
Projects : - - - -
Workshop / Laboratory Applications : - - - -
Case studies : - - - -
Field Studies : - - - -
Clinical Studies : - - - -
Other Studies : - - - -
Mid-term exam   1 40 - -
Final exam   - - 1 60
ECTS WORK LOAD TABLE   Number Duration
Course Duration : 14 3
Classroom Work Time : 18 4
Presentations and Seminars : - -
Course Internship : - -
Workshop / Laboratory Applications : - -
Field Studies : - -
Case studies : - -
Projects : - -
Homework : 0 0
Quiz : - -
Mid-term exam : 1 16
Final Exam : 1 20
ECTS 5
No COURSE LEARNING OUTCOMES CONTRIBUTION
D.Ö.Ç. 1 having ability to see the relation between an egineering problem and the corresponding differential equation 4
D.Ö.Ç. 2 To solve a simple ordinary differential equation 4
D.Ö.Ç. 3 To be able to model the behavior of simple systems in the natural world 4
D.Ö.Ç. 4 To have mathematical background to analyse an engineering problem. 3
* 1: Zayıf - 2: Orta - 3: İyi - 4: Çok İyi
COURSE LEARNING OUTCOMES AND PROGRAM OUTCOMES AND RELATIONSHIPS MATRIX

DÖÇ1DÖÇ2DÖÇ3DÖÇ4DÖÇ5DÖÇ6DÖÇ7DÖÇ8DÖÇ9DÖÇ10DÖÇ11DÖÇ12DÖÇ13DÖÇ14DÖÇ15DÖÇ16DÖÇ17DÖÇ18DÖÇ19DÖÇ20
PÇ1
PÇ2
PÇ3
PÇ4
PÇ5
PÇ6
PÇ7
PÇ8
PÇ9
PÇ10
PÇ11
PÇ12
PÇ13
PÇ14
PÇ15
PÇ16
PÇ17
PÇ18
PÇ19
PÇ20