GAZI UNIVERSITY INFORMATION PACKAGE - 2018 ACADEMIC YEAR

COURSE DESCRIPTION
APPLIED MATHEMATICS FOR MECHANICAL ENGINEERS/MM 216 E
Course Title: APPLIED MATHEMATICS FOR MECHANICAL ENGINEERS
Credits 3 ECTS 5
Semester 4 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  English
 -- NAME OF LECTURER(S)
  Assoc.Prof.Dr. Sinan Kılıçaslan, Assist.Prof.Dr. Cevdet Aygun, Assist.Prof.Dr.Nureddin Dinler, Assist.Prof.Dr. Muhittin Bilgili
 -- WEB SITE(S) OF LECTURER(S)
  http://www.websitem.gazi.edu.tr/site/skilicaslan, http://www.websitem.gazi.edu.tr/site/caygun, http://www.websitem.gazi.edu.tr/site/ndinler, http://www.websitem.gazi.edu.tr/site/bilgili
 -- EMAIL(S) OF LECTURER(S)
  caygun@gazi.edu.tr,ndinler@gazi.edu.tr,skilicaslan@gazi.edu.tr,bilgili@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
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
  Face to face
 -- PREREQUISITES AND CO-REQUISITES
  None
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  None
 --COURSE CONTENT
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  Midterm Exam I
8. Week  Vector integral calculus: Line integral, double integral, triple integral,
9. Week  Surface integrals,
10. Week  Gauss divergence and Stokes’ integral theorems.
11. Week  Complex numbers and complex elementary functions. Derivative. Analytic functions.
12. Week  Midterm Exam II
13. Week  Cauchy-Riemann equations. Line integral in the complex plane.
14. Week  Cauchy’s integral theorem.
15. Week  Cauchy’s integral formula.
16. Week  Final Exams
 -- RECOMMENDED OR REQUIRED READING
  1) P.V. O’Neil, Advanced Engineering Mathematics, 7thEd., Cengage Learning, 2011. 2) G. Nikos and D. Joyner, Linear Algebra with applications.Brooks/Cole Co.1998. 3) O. Bretscher, Linear Algebra with Applications, Pearson, 2012.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question and answer
 -- WORK PLACEMENT(S)
  None
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
2
54
 Assignment
0
0
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
3
6
 Contribution of In-term Studies to Overall Grade  
60
 Contribution of Final Examination to Overall Grade  
40
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
15
3
45
 Practising Hours of Course Per Week
0
 Reading
10
1
10
 Searching in Internet and Library
11
3
33
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
2
10
20
 Final and Studying for Final
1
10
10
 Other
3
3
9
 TOTAL WORKLOAD: 
127
 TOTAL WORKLOAD / 25: 
5.08
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Engineering graduates with sufficient theoretical and practical background for a successful profession and with application skills of fundamental scientific knowledge in the engineering practice.X
2Engineering graduates with skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situationsX
3Engineering graduates with the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects.X
4Engineering graduates with the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologiesX
5Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions
6Ability of identifying the potential resources for information or knowledge regarding a given engineering issueX
7The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidenceX
8Ability for effective oral and official communication skills in Turkish Language and, at minimum, one foreign languageX
9Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technologyX
10Engineering graduates with well-structured responsibilities in profession and ethics
11Engineering graduates who are aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues
12Consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanity