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

 
 

المرفق الحجم
محتوى المقرر 106.03 كيلوبايت
امتحان فصلي سابق 33.17 كيلوبايت
امتحان نهائي من السنوات الماضية 21.59 كيلوبايت