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