5411 Math

Introduction to rings and modules



B- 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
MODULES AND SUBMODULES
1.1  MODULES	4	4
1.2  SUBMODULE	4	4
HOMOMORPHISMS, QUOTIENT MODULES AND ISOMORPHISM THEOREMS
2.1   HOMOMORPHISMS	4	4
2.2  QUOTIENT MODULES	4	4
2.3   ISOMORPHISM THEOREMS	4	4
DIRECT PRODUCTS AND DIRECT SUMS EXACT SEQUENCE
4.1  EXACT SEQUENCE	6	6
4.2  ISOMORPHISM OF SHORT EXACT SEQUENCES	4	4
4.3  SPLIT EXACT SEQUENCE	6	6
FREE MODULE	6	6
6.1 PROJECTIVE MODULES	4	4
6.2 INJECTIVE  MODULES	4	4
MODULES OVER A PRINCIPAL IDEAL DOMAIN	6	6
Algebras.	4	4
Total	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: Modules, Homomorphism of Modules, Direct product and Direct sum of Modules, Exacts sequences, Projective and Injective Modules, Artinian and Noetherian Modules, Algebras.	written examine Writing Assignments Discussion	Students were very good in Knowledge about modules and rings  theory
Cognitive skills	Student will be able to:
	formulate, and analyze algebraic problems related to Module  theory	Discussion written examine Writing Assignments Present a Project	Students were good in  formulating, and analyzing theory related to module theory
	Conduct investigations of complex including analysis, and synthesis of information to provide valid conclusions
	Provide  a scientific proves for algebraic  facts related to module 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	Students were excellent in  self-management in terms of time, planning and behavior, motivation, self-starting, individual initiative
	interpersonal skills of effective listening, negotiating, persuasion and presentation		Students were  good in interpersonal skills of effective listening, negotiating, persuasion and presentation
Communication, Information  Technology, Numerical Skills	Student will be able to	Present a Project Discussion Comments card	Students were excellent  in communicating effectively both orally and in writing using a range of Technology
	Student will be able to		Students were good in making effective use of communication and information