GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATİCAL METHODS İN PHYSİCS 2/5081302
Course Title: MATHEMATİCAL METHODS İN PHYSİCS 2
Credits 3 ECTS 7.5
Semester 1 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assoc. Prof. Dr. Özlem Yeşiltaş
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/yesiltas
 -- EMAIL(S) OF LECTURER(S)
  yesiltas@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Analysing advanced problems in Physics within advanced mathematical metods.
 -- MODE OF DELIVERY
   The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  Mathematical Methods in Physics I
 --COURSE CONTENT
1. Week  Covariant and contravariant vectors and tensors
2. Week  Vector Fields
3. Week  Integrability
4. Week  Differential Forms
5. Week  Poincare theorem, integration of p-forms, Stoke's theorem.
6. Week  topological spaces and neighborhoods
7. Week  Definition of Group, cosets and conjugacy classes
8. Week  finite group representations, characters and orthogonality. Physical applications. Quantum Mechanics.
9. Week  Mid-term Exam
10. Week  Lie Groups and Algebras. Semi-simple and compact groups, roots and weights.
11. Week  Cauchy, Taylor and Laurent thorems, analytical functions
12. Week  Contour integral applications, asymptotic and differential equation solutions
13. Week  Conformal transformations, physical applications. Riemann Surfaces
14. Week  Problems
15. Week  Problems and applications
16. Week  Physical problems
 -- RECOMMENDED OR REQUIRED READING
  1-Sadri Hassani, Mathematical Physics, Springer Verlag, 1999. 2- E. Kreyszig, Differential Geometry, Dover Pub., 1991. 3- B G Wybourne, Classical Groups for Physicists Wiley and Sons NY , 1974.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
3
20
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
1
0
 Contribution of In-term Studies to Overall Grade  
50
 Contribution of Final Examination to Overall Grade  
50
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
12
3
36
 Practising Hours of Course Per Week
12
3
36
 Reading
12
2
24
 Searching in Internet and Library
12
1
12
 Designing and Applying Materials
0
 Preparing Reports
5
1
5
 Preparing Presentation
12
1
12
 Presentation
5
1
5
 Mid-Term and Studying for Mid-Term
12
2
24
 Final and Studying for Final
12
2
24
 Other
0
 TOTAL WORKLOAD: 
178
 TOTAL WORKLOAD / 25: 
7.12
 ECTS: 
7.5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Develop, enhance and deepen and obtain creative original definitions by combining current knowledge of the field and critical thinking and researchX
2comprehend interdisciplinary interactions and relations relevant to physics; analyze, compose, synthesize and evaluate new and complex ideas and to obtain original results by using expertise knowledge of the field,X
3obtain new scientific knowledge and gain higher level of skills in field of searchX
4develop a new scientific method in the field or apply a known method to a different problemX
5research, understand, design, adopt and apply an original subjectX
6question, compose, synthesize and evaluate new and complex ideasX
7publishtheir original works in refereed journalsX
8develop original ideas and methods in the field and also in interdisciplinary fields by using higher level skills such as creative and critical thinking, problem solving and judgmentsX
9present their works and original ideas effectively in a scientific environmentX
10communicate anddiscuss in advance level of writing, oral and visual in at least one foreign languageX
11introduce technological developmentsin anacademic and professional manner and contribute to theprogress of it societyX