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Course Information
Course Unit Title : Engineering Mathematics
Course Unit Code : GDM205
Type of Course Unit : Compulsory
Level of Course Unit : First Cycle
Year of Study : 2
Semester : 3.Semester
Number of ECTS Credits Allocated : 5,00
Name of Lecturer(s) : ---
Course Assistants :
Learning Outcomes of The Course Unit : Understand various applications of mathematics to engineering problems,
Learn mathematical solution methods for engineering problems
Mode of Delivery : Face-To-Face
Prerequisities and Co-requisities Courses : Unavailable
Recommended Optional Programme Components : Unavailable
Course Contents : Introduction to differential equations; Basic Concepts (order, degree, homogenity, linear-nonlinear, implict and explicit solution, general and particular solution), ordinary and partial differential equations, examples from engineering applications; First order differential equations:Seperable equations, exact differential equations, Integrating factors, , Bernoulli and Riccati differential equations; Engineering applications of first order differential equations; Second order differential equations and their engineering applications; Higher order differential equations and their engineering applications; Vectors: vector functions, their derivatives and integrations.
Languages of Instruction : Turkish
Course Goals : -Increase the ability to solve mathematical problems in area of mechanical engineering,
Increase the ability to apply mathematical knowledge to engineering problems.
Course Aims : The purpose of Engineering Mathematics I is help students gain the following abilities and information:
? Derive and solve mathematical models of engineering problems,
? Understand how available mathematical models work,
WorkPlacement   Not Available
Recommended or Required Reading
Textbook : Lecture Notes
Additional Resources : 1 Kreyszig, Erwin. Advanced Engineering Mathematics, ISBN:0-471-85824-2, John Wiley and Sons, New York Sixth Ed. 1988.
2. Aydın, M., Kuryel, B., Gündüz, G., Oturanç, G., ?Diferansiyel Denklemler ve Uygulamaları?, E.Ü. Müh. Fakültesi Ders Kitapları Yayınları No:14, 5. Baskı, İzmir, 2001.
3. Pala, Y., ?Modern Uygulamalı Diferensiyel Denklemler?, Nobel Yayın No:950, 1. Basım, Ankara, Eylül 2006.
4. Çağlıyan, M., Çelik, N., Doğan, S., ?Adi Diferensiyel Denklemler?, Nobel Yayın No:1216, 1. Basım, Ankara, Eylül 2007.
Material Sharing
Documents :
Assignments : Research Paper
Exams : Midterm and Final Exams
Additional Material :
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.
Activity :
Number Duration Total  
Course Duration (Excluding Exam Week) :
14 3 42  
Time Of Studying Out Of Class :
14 3 42  
Homeworks :
4 6 24  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
1 15 15  
Finals :
1 20 20  
Workload Hour (30) :
30  
Total Work Charge / Hour :
143  
Course's ECTS Credit :
5      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
0 0
Quiz :
0 0
Homework :
0 0
Attendance :
0 0
Application :
0 0
Lab :
0 0
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
0
The ratio of the term to success :
0
The ratio of final to success :
0
TOTAL :
0
Weekly Detailed Course Content
Week Topics  
1 Introduction to differential equations; Basic Concepts (order, degree, homogenity, linear-nonlinear, implict and explicit solution, general and particular solution),
  Study Materials: Lecture Notes
2 First- order ordinary differential equations: separable differential equations, seperable differential equations that can be made
 
3 First- order ordinary differential equations: Exact differential equations
 
4 First- order ordinary differential equations: Integrating factors
 
5 First- order ordinary differential equations: homogeneous and nonhomogeneous linear differential equations
 
6 First- order ordinary differential equations: Bernoulli differential, riccati differential equations
 
7 First- order ordinary differential equations: Riccati differential equations
 
8 Engineering applications of first order differential equations
 
9 Engineering applications of first order differential equations
 
10 Second order differential equations and their engineering applications
 
11 Second order differential equations and their engineering applications
 
12 Higher order differential equations and their engineering applications
 
13 Vectors: vector functions, their derivatives and integrations
 
14 Vectors: vector functions, their derivatives and integrations