

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 
: 
FaceToFace

Prerequisities and Corequisities Courses 
: 
Unavailable

Recommended Optional Programme Components 
: 
Unavailable

Course Contents 
: 
Introduction to differential equations; Basic Concepts (order, degree, homogenity, linearnonlinear, 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:0471858242, 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

:


Course Duration (Excluding Exam Week)

:


Time Of Studying Out Of Class

:


Homeworks

:


Presentation

:


Project

:


Lab Study

:


Field Study

:


Visas

:


Finals

:


Workload Hour (30)

:


Total Work Charge / Hour

:


Course's ECTS Credit

:



Assessment Methods and Criteria
Studies During Halfterm

: 

Visa

: 

Quiz

: 

Homework

: 

Attendance

: 

Application

: 

Lab

: 

Project

: 

Workshop

: 

Seminary

: 

Field study

: 




TOTAL

: 

The ratio of the term to success

: 

The ratio of final to success

: 

TOTAL

: 


Weekly Detailed Course Content
Week

Topics

1

Introduction to differential equations; Basic Concepts (order, degree, homogenity, linearnonlinear, 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



























































































