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SDÜ Education Information System Course Content
Programme
Graduate School of Natural and Applied Sciences Manufacturing Engineering
Course Information
Course Unit Code
Course Unit Title
Credit Theoretic
Credit Pratic
Credit Lab/A
Credit Total
Credit Ects
Semester
01IMM5142
Analytical Methods in Engineering
3.00
0.00
0.00
3.00
6.00
1
Course Information
Language of Instruction
Turkish
Type of Course Unit
Elective
Course Coordinator
Associate Professor Dr. M.Reşit USAL
Course Instructors
3-Mustafa Reşit Usal
Course Assistants
 
Course Aims
The aim of this course is to learn vector and tensor analysis in details.
Course Goals
1) To give information about analytical methods in engineering
2) To teach applications of vector and tensor analysis in engineering
3) To teach concepts of tensor analysis in curvilinear coordinates
Learning Outcomes of The Course Unit
1) To recognize analytical methods which can be used extensively in engineering
2) To learn using index notation
3) To achieve implementation of differential operators to scalar, vectorial and tansorial functions
4) To achieve implementation of integral theorems for vector analysis to a region containing discontinuity surfaces
5) To understand of invariant concept
6) Concept of integrity basis for vectors and second degree tensors
7)To achieve systematically formulation of physical laws by using curvilinear coordinates and tensor calculus
Course Contents
To achieve basic vector and tensor operation by using Einstein summation convention. To define interconnections for reciprocal base vectors by using Euclidean metric tensor. To learn differentiation and integral theorems for vector functions. To recognize invariant parameters in according to fundamental rules of matrix algebra. Using the tensor analysis in the curvilinear coordinates. Concept of covariant and contravariant partial derivative. To express basic differential opeartors in orthogonal curvilinear coordinates. The Riemann-Christoffel tensor as a measure of the curvature of the space.
Prerequisities and Co-requisities Courses
 
Recommended Optional Programme Components
 
Mode Of Delivery
 
Level of Course Unit
 
Assessment Methods and Criteria
ECTS / Table Of Workload (Number of ECTS credits allocated)
Studies During Halfterm
Number
Co-Efficient
Activity
Number
Duration
Total
Visa
1
40
Course Duration (Excluding Exam Week)
14
3
42
Quiz
1
10
Time Of Studying Out Of Class
14
5
70
Homework
7
40
Homeworks
7
5
35
Attendance
1
10
Presentation
0
0
0
Application
0
0
Project
0
0
0
Lab
0
0
Lab Study
0
0
0
Project
0
0
Field Study
0
0
0
Workshop
0
0
Visas
1
10
10
Seminary
0
0
Finals
1
20
20
Field study
0
0
Workload Hour (30)
30
TOTAL
100
Total Work Charge / Hour
177
The ratio of the term to success
40
Course's ECTS Credit
6
The ratio of final to success
60
 
TOTAL
100
 
Recommended or Required Reading
Textbook
 
Additional Resources
Arfken, George B., Weber,Hans J. "Mathematical Methods for Physicists", Academic Pres, 2000.

Eringen, A. Cemal, "Mechanics of Continua", Krieger Pub Co; 2nd edition.1980.

Kay, David C., "Schaum's outline of Theory and Problems of Tensor Calculus" , McGraw-Hill New York .1988.

Spiegel, Murray R., "Vektörel Analiz ve Tensör Analizine Giriş". Birsen kitabevi yayınları, 1959.İstanbul.

Önem, Coşkun., "Mühendislik ve Fizikte Matematik Metodlar". Birsen Yayınevi, 1999. İstanbul.
Material Sharing
Documents
 
Assignments
 
Exams
 
Additional Material
 
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
Work Placements
As with any other educational component, credits for work placements are only awarded when the learning outcomes have been achieved and assessed. If a work placement is part of organised mobility (such as Farabi and Erasmus), the Learning Agreement for the placement should indicate the number of credits to be awarded if the expected learning outcomes are achieved.
Program Learning Outcomes
No
Course's Contribution to Program
Contribution
1
An able to use informations of mathematicall, science, engineeringin solving the manufacturing engineering problems
5