course
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. |
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Topics (if any) not Fully Covered | Effected Learning Outcomes | Possible Compensating Action |
Non |
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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. |
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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 |
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Students were good in formulating, and analyzing theory related to module theory |
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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 |
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Interpersonal Skills & Responsibility | effective self-management in terms of time, planning and behavior, motivation, self-starting, individual initiative |
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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 |
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Communication, Information Technology, Numerical Skills |
Student will be able to |
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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 |