GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
GROUP THEORY/5471302
Course Title: GROUP THEORY
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
The student can understand tle structures of the Lie Groups and they can learn the isomorphism of the groups
They can understand the Group Representations
Symmetries have an important role in all areas of physics, because there is a relationship between Symmetry and Conservation Laws, the student can bet
Lie algebras can be used in differential equation solutions and their symmetry relations and the students can see that they can follow more elegant me
 -- 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
  Quantum Mechanics I, Mathematical Methods in Physics I-II, Linear Algebra etc are suggested.
 --COURSE CONTENT
1. Week  Symmetries in Physics, postulates of groups, solvable nilpotent semi-simple and simple groups
2. Week  Sn permutation group, conjugacy classes, subgroups, homomorphism
3. Week  Representations of Groups
4. Week  Schur hypothesis, character table
5. Week  applications in physics
6. Week  SO(2), SO(3), SU(2), SU(3) contionous groups, Clebsh-Gordan coefficients
7. Week  lie Groups and Algebra
8. Week  Levi Theorem, Simple Lie algebras
9. Week  SO(2L), SO(2L+1) family
10. Week  gauge groups
11. Week  electromagnetic potential and gauge transformations
12. Week  interactions with non-relativistic electrons
13. Week  Relativistic formulation of Electromagnetism
14. Week  Relativistic Equation of motion for the electron.
15. Week  Applications
16. Week  Applications
 -- RECOMMENDED OR REQUIRED READING
  1)B G Wybourne “Classical Groups for Physicists”, Wiley and Sons NY , 1974. 2) H. F. Jones, Groups, Representations and Physics; Adam Hilger, Bristol and NY, IOP Publishing Ltd, 1990. 3) Eugene Paul Wigner, “Group Theory and Its Application to the Quantum Mechanics of Atomic Spectra”, (Academic Press Inc., New York, 1959), translated by J. J. Griffin
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Applications, Homeworks and paper study.
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
20
 Assignment
1
40
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 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
12
3
36
 Practising Hours of Course Per Week
12
3
36
 Reading
8
5
40
 Searching in Internet and Library
5
5
25
 Designing and Applying Materials
9
1
9
 Preparing Reports
9
2
18
 Preparing Presentation
5
1
5
 Presentation
0
 Mid-Term and Studying for Mid-Term
4
1
4
 Final and Studying for Final
4
1
4
 Other
0
 TOTAL WORKLOAD: 
177
 TOTAL WORKLOAD / 25: 
7.08
 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