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Course Information
Course Unit Title : Group analysis of differential equations.
Course Unit Code : 01FZK5175
Type of Course Unit : Compulsory
Level of Course Unit : Second Cycle
Year of Study : Preb
Semester : 255.Semester
Number of ECTS Credits Allocated : 6,00
Name of Lecturer(s) : ---
Course Assistants :
Learning Outcomes of The Course Unit : Groups
Examples of groups
One-Parameter Lie Group of Transformations
Mode of Delivery : Face-To-Face
Prerequisities and Co-requisities Courses : Unavailable
Recommended Optional Programme Components : Unavailable
Course Contents : Li algebras,Contact transformations,Integration of second-order equations admitting a two-dimensional algebra,Consective reduction of order,The method of canonical variables
Languages of Instruction : Turkish
Course Goals : Contact transformations
Groups admissible by differential equations
Lie algebras
Course Aims : The main subject of the presentlesson is the symmetry analysis of the basic
equations of quantum physics and deduction of equations for particles of arbitrary spin,
admitting different symmetry groups
WorkPlacement   -
Recommended or Required Reading
Textbook :
Additional Resources :
Material Sharing
Documents :
Assignments :
Exams :
Additional Material :
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.
Activity :
Number Duration Total  
Course Duration (Excluding Exam Week) :
0 0 0  
Time Of Studying Out Of Class :
0 0 0  
Homeworks :
0 0 0  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
0 0 0  
Finals :
0 0 0  
Workload Hour (30) :
30  
Total Work Charge / Hour :
0  
Course's ECTS Credit :
0      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
1 70
Quiz :
0 0
Homework :
2 30
Attendance :
0 0
Application :
0 0
Lab :
0 0
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
100
The ratio of the term to success :
40
The ratio of final to success :
60
TOTAL :
100
Weekly Detailed Course Content
Week Topics  
1 Definitions and elementary applications
 
2 One-parameter transformation groups
 
3 Prolongation formula
 
4 Groups admissible by differential equations
 
5 Lie algebras
 
6 Contact transformations
 
7 Integration of second-order equations admitting a two-dimensional algebra
 
8 Consective reduction of order
 
9 An instructive example
 
10 The method of canonical variables
 
11 Changes of variables and basis in an algebra
 
12 Canonical form of two-dimensional algebras
 
13
 
14
 
0
 
0
 
0
 
0
 
0
 
0
 
0
 
0
 
0
 
0
 
0
 
0
 
0
 
0
 
0
 
0
 
0