5401 Math

Group Theory and Field Extensions

 

Course Delivery

1.  Coverage of Planned Program
 
Topics Covered
Planned Contact Hours Actual Contact Hours Reason for Variations if there is a difference of more than 25% of the hours planned
Group action on a set 8 8  
Series of groups 4 4  
Solvable groups 4 4  
Super solvable groups 4 4  
Polycyclic
groups and nilpotent groups
4 4  
Semi-direct product and group extensions 8 8  
Free groups 6 6  
group
presentations
6 6  
Finite and algebraic field extensions 4 4  
Normal and separable extensions, 4 4  
Galois extensions 4 4  
Galois group and Artin's Theorem. 4 4  
  60 60  

 

2.  Consequences of Non Coverage of Topics
 For any topics where the topic was not taught or practically delivered, comment on how significant you believe the lack of coverage is for the course learning outcomes or for later courses in the program. Suggest possible compensating action. 
Topics (if any) not Fully Covered Effected Learning Outcomes Possible Compensating  Action
Non
 
   
 
 
   
 
 
   
 
 
   

 
3.  Course learning outcome assessment.

  List course learning outcomes
 
List methods of assessment for each LO Summary analysis of assessment results for each LO
Knowledge Student will be able to demonstrate sound knowledge of:
 
Group action on a set
Series of groups
Solvable groups
Super solvable groups
Polycyclic
groups and nilpotent groups
Semi-direct product and group extensions
Free groups
group
presentations
Finite and algebraic field extensions
Normal and separable extensions,
Galois extensions
Galois group and Artin's Theorem.
  • written examine
  • Writing Assignments
  • Discussion
Student is excellent in Knowledge about group theory and Galois extensions
Cognitive skills
 
Student will be able to:    
formulate, and analyze algebraic problems related to Galois extensions and group theory
 
  • Discussion
  • written examine
  • Writing Assignments
  • Present a Project

 
 

Student is good in  formulating, and analyzing theory related to Galois extensions and group theory
 
 
Conduct investigations of complex including analysis and interpretation of data, and synthesis of information to provide valid conclusions
Provide  a scientific proves for algebraic  facts related to Galois extensions and group theory
 
 
Interpersonal Skills & Responsibility effective self-management in terms of time, planning and behavior, motivation, self-starting, individual initiative
 
  • Present a Project
  • Discussion
  • Comments card
Student is good in self-management in terms of time, planning and behavior, motivation, self-starting, individual initiative
 
interpersonal skills of effective listening, negotiating, persuasion and presentation
 
Student is a good in
listening, negotiating, persuasion and presentation
 
Communication, Information
 Technology, Numerical Skills
Student will be able to
 
  • Present a Project
  • Discussion
  • Comments card
Student is an excellent  in communicating effectively both orally and in writing using a range of Technology
Student will be able to
 
Student is good in
making effective use of communication and information

 

المرفق الحجم
اختبار نهائي سابق 538.47 كيلوبايت
واجب نهائي سابق 148.66 كيلوبايت
اختبار فصلي سابق 17.62 كيلوبايت