GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICAL APPLICATIONS IN ENERGY SYSTEMS/5241335
Course Title: MATHEMATICAL APPLICATIONS IN ENERGY SYSTEMS
Credits 3 ECTS 7.5
Course Semester 1 Type of The Course Elective
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
apply differential equations to engineering problems
describe the mathematical concepts used in their own field of science
interpret the relationships between known mathematical concepts
apply mathematical relations to solve problems that may be encountered

 -- MODE OF DELIVERY
  This course is only conducted face to face.
 --WEEKLY SCHEDULE
1. Week  Review of ordinary differential equations, Series solutions of differential equations, Frobenius method
2. Week  Special differential equations. Bessel and modified Bessel differential equations. Classical and modified Bessel functions of first and second kind
3. Week  Legendre differential equation and Legendre polynomials. General expansion theorem. Orthogonality and completeness. Orthogonal functions
4. Week  Fourier series. Fourier integrals and transform. Laplace transforms
5. Week  Partial differential equations. Deriving equations in engineering problems
6. Week  Method of separation of variables. Initial and boundary value problems. Eigenvalue problems. Eigenvalues and eigenfunctions
7. Week  Series solutions. Classification of second order partial differential equations. Elliptic, hyperbolic and parabolic equations. Characteristic curves
8. Week  Calculus of variations. Variations. Variation problems in integral form. Euler-Lagrange equations
9. Week  Calculus of variations. Variations. Variation problems in integral form. Euler-Lagrange equations
10. Week  Application examples. Constrained variation problems
11. Week  Functions of one complex variable. Limit, continuity and derivatives of a complex function. Analyticity. Cauchy-Riemann conditions. Cauchy and Cauchy-
12. Week  Functions of one complex variable. Limit, continuity and derivatives of a complex function. Analyticity. Cauchy-Riemann conditions. Cauchy and Cauchy-
13. Week  Series expansions of complex functions. Taylor, Maclaurin and Laurent series. Theorem of residues.
14. Week  Applications of residue theorem. Calculation of improper integrals. Obtaining inverse Laplace transforms
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
0
0
0
 Reading Tasks
13
3
39
 Searching in Internet and Library
0
0
0
 Material Design and Implementation
0
0
0
 Report Preparing
3
6
18
 Preparing a Presentation
3
6
18
 Presentation
3
6
18
 Midterm Exam and Preperation for Midterm Exam
12
2
24
 Final Exam and Preperation for Final Exam
12
2
24
 Other (should be emphasized)
0
0
0
 TOTAL WORKLOAD: 
183
 TOTAL WORKLOAD / 25: 
7.32
 Course Credit (ECTS): 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1- Instructor trainingX
2- Capability of taking on a task in research and development unitsX
3- Capability of designing and manufacturing thermal and thermo-mechanical systems.X
4- Capability of taking management mission in energy sectorX
5- Taking on specialist and management tasks in governmental institutions relevant to energy sector.X
6- Capability of conducting energy production and conversion system design, manufacturing, modification and montage projects.X
7- Capability of taking on missions in desing ang procect of HVAC-R and comcustion systemsX
8- Capability of management in energy production, conversion and power distribution plants.X
9- Capability of taking on missions in project ang application of renewable energyX
10- Capability of taking on missions in project ang application of enviroment and waste management systemsX
 -- NAME OF LECTURER(S)
   (Assoc. Prof. Fatih Emre BORAN)
 -- WEB SITE(S) OF LECTURER(S)
   (http://www.websitem.gazi.edu.tr/site/emreboran)
 -- EMAIL(S) OF LECTURER(S)
   (emreboran@gazi.edu.tr)