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 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
 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. Ayd�n, M., Kuryel, B., G�nd�z, G., Oturan�, G., ?Diferansiyel Denklemler ve Uygulamalar�?, E.�. M�h. Fak�ltesi Ders Kitaplar� Yay�nlar� No:14, 5. Bask�, �zmir, 2001.3. Pala, Y., ?Modern Uygulamal� Diferensiyel Denklemler?, Nobel Yay�n No:950, 1. Bas�m, Ankara, Eyl�l 2006.4. �a�l�yan, M., �elik, N., Do�an, S., ?Adi Diferensiyel Denklemler?, Nobel Yay�n No:1216, 1. Bas�m, Ankara, Eyl�l 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
 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 