GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
APPLIED MATHEMATICS FOR MECHANICAL ENGINEERS/ME216
Course Title: APPLIED MATHEMATICS FOR MECHANICAL ENGINEERS
Credits 3 ECTS 5
Course Semester 4 Type of The Course Compulsory
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  English
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
The capability to solve the application problems with the aid of vector definitions in one and multidimensional space.
Knowledge of the methods for solving linear system of equations and apply these methods.
Knowledge about eigenvalues and eigenvectors of a matrix and find these values.
Knowledge of system of differential equations solutions methods and apply them.
Definitions of line, area and volume integrals, related integral theorems and learning how to apply them.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Linear algebra: Matrices, vectors, determinants. Inverse of a matrix. Matrix algebra. Linear algebraic systems. Echelon form.
2. Week  Gauss and Gauss-Jordan elimination method for the solution of linear systems. Rank of a matrix. Linear independence-dependence,
3. Week  Vector spaces. Inner product spaces. Linear transformations. Singular-value decomposition and polar decomposition of a matrix.
4. Week  Matrix eigenvalue problems: Eigenvalues and eigenvectros of a square matrix. Symmetric antisymmetric, and orthogonal matrices. Similarity of matrices
5. Week  Basis of eigenvectors. Diagonalization. Transformation of quadratic forms from arbitrary to principal directions.
6. Week  Application to differential systems.Vector differential calculus: Gradient, divergence, curl.
7. Week  Vector integral calculus: Line integral, double integral, triple integral,
8. Week  Surface integrals,
9. Week  Surface integrals,
10. Week  Gauss divergence and Stokes’ integral theorems.
11. Week  Complex numbers and complex elementary functions. Derivative. Analytic function
12. Week  Cauchy-Riemann equations. Line integral in the complex plane.
13. Week  Cauchy’s integral theorem.
14. Week  Cauchy’s integral formula.
15. Week  Final
16. Week  Final
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
2
54
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
3
6
 Percent of In-term Studies  
60
 Percentage of Final Exam to Total Score  
40
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
 Reading Tasks
11
1
11
 Searching in Internet and Library
11
3
33
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
2
10
20
 Final Exam and Preperation for Final Exam
1
10
10
 Other (should be emphasized)
3
3
9
 TOTAL WORKLOAD: 
125
 TOTAL WORKLOAD / 25: 
5
 Course Credit (ECTS): 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledgein these areas in complex engineering problems.X
2Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.X
3Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose.X
4Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively.X
5Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questions.
6Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.X
7Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions.X
8Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.X
9Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice.
10Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
11Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.
 -- NAME OF LECTURER(S)
   (Assoc.Prof. Sinan KILIÇASLAN , Dr. Nureddin DİNLER , Dr. Muhittin BİLGİLİ)
 -- WEB SITE(S) OF LECTURER(S)
   (websitem.gazi.edu.tr/site/skilicaslan , websitem.gazi.edu.tr/site/ndinler , websitem.gazi.edu.tr/site/bilgili)
 -- EMAIL(S) OF LECTURER(S)
   (skilicaslan@gazi.edu.tr , ndinler@gazi.edu.tr , bilgili@gazi.edu.tr)