FACULTY OF ENGINEERING
GEOLOGICAL ENGINEERING
Course Name   DIFFERENTIAL EQUATIONS
Semester Course Code Theoretical / Practice time ECTS
3 1207314 3,00 / 0,00 4,00
Course Degree Bachelor's degree
Course Language Turkish
Format of Delivery: Face to Face
Course Coordinator Assist. Prof. Dr. Yusuf Beceren
Coordinator e-mail ybeceren selcuk.edu.tr
Instructors
Asistant Instructors
Course Objectives Introduce some mathematical methods and formulas used especially in engineering and indicate their applications.
Basic Sciences Engineering Scinces Social Sciences Educational Sciences Artistic sciences Medical Science Agricultural sciences
80 20 0 0 0 0 0
Course Learning Methods and Techniquies
The mode of delivery of this course is face to face.
Week Course Content Resource
1 Classification of the Differential Equations A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
2 Mathematical Modeling of the physical problems, Existence and Uniqueness Theorem A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
3 First Order Differential Equations: Separable Equations A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
4 Homogen Differential Equations A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
5 Non-Homogen Differential Equations A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
6 Exact Differential Equations and İntegrating Factor A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
7 Lineer Differential Equations, Bernoulli Differential Equations A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
8 Second Order, Lineer, Homogen Differential Equations with constant coefficients A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
9 Second Order, Lineer, Non-Homogen Differential Equations with constant coefficients: Method of Undetermined Coefficient A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
10 Midterm Exam
11 Method of Variation of Parameters, Method of Operator A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
12 Second Order Differntial Equations with variable coeffiicient: Cauch-Euler Differntial Equations A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
13 Higher Order Differential Equations A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
14 Power Series solutions of the Differential Equations A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
15 Systems of Differential Equations A. A. Karadeniz, Yüksek Matematik, 3.cilt , Çağlayan kitabevi, 2003, İstanbul.
16 Final exam
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 : 14 2
Presentations and Seminars : 0 0
Course Internship : 0 0
Workshop / Laboratory Applications : 0 0
Field Studies : 0 0
Case studies : 0 0
Projects : 0 0
Homework : 0 0
Quiz : 0 0
Mid-term exam : 1 25
Final Exam : 1 30
ECTS 4
No COURSE LEARNING OUTCOMES CONTRIBUTION
D.Ö.Ç. 1 Gain the mathematical thought ability 4
D.Ö.Ç. 2 be able to interpret and solve the problems related with the mathematics, physics and engineering 4
D.Ö.Ç. 3 be able to classify and determine the suitable method to solve a differential equation 3
D.Ö.Ç. 4 be able to solve the first order differential equations 4
D.Ö.Ç. 5 be able to solve the second order Homogen differential equations with constant coefficients 4
D.Ö.Ç. 6 be able to solve the second order Non-Homogen differential equations with constant coefficients 3
D.Ö.Ç. 7 be able to solve the second order differential equations with variable coefficients: Cauchy-Euler Differential Equations 4
D.Ö.Ç. 8 be able to solve the Higher order Differential Equations 4
D.Ö.Ç. 9 be able to learn the power series solution of the Differential Equations 3
D.Ö.Ç. 10 be able to solve the Systems of Differential Equations 4
* 1: Zayıf - 2: Orta - 3: İyi - 4: Çok İyi
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