Please ensure you check the module availability box for each module outline, as not all modules will run each academic year.
Department: Mathematical Sciences
MATH2581: ALGEBRA II
|Type||Open||Level||2||Credits||20||Availability||Available in 2017/18||Module Cap||Location||Durham|
- Calculus and Probability 1 (MATH1061) and Linear Algebra 1 (MATH1071).
Excluded Combination of Modules
- Mathematics for Engineers and Scientists (MATH1551), Single Mathematics A (MATH1561), Single Mathematics B (MATH1571)
- To introduce further concepts in abstract algebra and develop their theory.
- Rings and fields.
- Examples of groups.
- Group actions.
- Homomorphisms and quotient groups.
- Finitely generated abelian groups.
- By the end of the module students will: be able to solve a range of predictable and unpredictable problems in Algebra.
- have an awareness of the abstract concepts of theoretical mathematics in the field of Algebra.
- have a knowledge and understanding of fundamental theories of these subjects demonstrated through one or more of the following topic areas: Rings and fields, example of groups, generators, homomorphisms.
- Group actions, Equivalence relations.
- Structure of finitely generated abelian groups.
- Vector spaces over arbitrary fields.
- In addition students will have the ability to undertake and defend the use of alternative mathematical skills in the following areas with minimal guidance: Abstract reasoning.
Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module
- Lecturing demonstrates what is required to be learned and the application of the theory to practical examples.
- Weekly homework problems provide formative assessment to guide students in the correct development of their knowledge and skills.
- Tutorials provide active engagement and feedback to the learning process.
- The end-of-year examination assesses the knowledge acquired and the ability to solve predictable and unpredictable problems.
Teaching Methods and Contact Hours
|Lectures||42||2 per week||1 Hour||42|
|Tutorials||11||Fortnightly for 20 weels||1 Hour||11||■|
|Problems Classes||9||Fortnightly for 20 weeks||1 Hour||9|
|Preparation and Reading||138|
|Component: Examination||Component Weighting: 100%|
|Element||Length / duration||Element Weighting||Resit Opportunity|
|Written examination||3 hours||100%||Yes|
One written assignment to be handed in every third lecture in the first 2 terms. Normally each will consist of solving problems from a Problems Sheet and typically will be about 2 pages long. Students will have about one week to complete each assignment.