MA2K3 Consolidation
MA2K3-10 Consolidation
Introductory description
Students attend a weekly lecture and classroom style sessions covering material which is the foundation to understanding second year core maths modules.
Each week students complete a workbook. They work on these during the classroom sessions and complete them in their own time. These are for credit. They are marked by lecturers and TAs, detailed written feedback is provided. Verbal feedback is also provided during the teaching sessions.
Module aims
To provide small group attention for students recommended by the First Year Exam Board to improve prospects of a good honours degree.
Outline syllabus
This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.
Functions, Equivalence Relations, Countability
Groups, subgroups, cyclic groups, permutation groups, group homomorphisms, Chinese Remainder Theorem.
Rings, subrings, ideals, factorisation in F[x], quotient rings, ring homomorphisms, modular arithmetic
Suprema/infima/completeness, sequences, series, continuity, IVT/EVT, power series, differentiation, MVT, Taylor’s theorem, Riemann integration
Methods to solve ODEs, systems of ODEs (including phase portraits and eigenvalues/eigenvectors methods)
Polar, cylindrical, spherical coordinates; line, surface and volume integrals, change of variables, Green’s, Divergence and Stokes’ Theorem
Matrix methods, vector spaces, linear maps and bases, rank-nullity theorem, inner products, Gram-Schmidt orthogonalisation, eigvenvalues/eigenvectors, orthogonal and symmetric matrices.
Learning outcomes
By the end of the module, students should be able to:
- strengthen students' mathematical comprehension skills
- strengthen students' problem solving skills
- reinforce understanding of mathematics that is useful for second year mathematics core
Subject specific skills
Good subject knowledge of mathematics necessary to successfully study year 2 core mathematics modules.
Good mathematical communication and writing skills.
Transferable skills
Communication and writing skills, ability to think logically and critically.
Study time
| Type | Required |
|---|---|
| Lectures | 10 sessions of 1 hour (10%) |
| Seminars | 10 sessions of 2 hours (20%) |
| Private study | 20 hours (20%) |
| Assessment | 50 hours (50%) |
| Total | 100 hours |
Private study description
Students complete the weekly workbook.
They will also be given reading to do for the following week's sessions.
Total independent study is expected to be 7hrs per week.
Costs
No further costs have been identified for this module.
You must pass all assessment components to pass the module.
Assessment group A1
| Weighting | Study time | Eligible for self-certification | |
|---|---|---|---|
Assessment component |
|||
| Various ways of Assessment | 100% | 50 hours | No |
| Mostly based upon the student's portfolio of workbooks and with a small component for engagement with the classroom style sessions. |
|||
Reassessment component is the same |
|||
Feedback on assessment
Written feedback will be provided on the workbooks, as well as general feedback to the whole group during the lectures and classroom style sessions.
Courses
This module is Unusual option for:
- Year 2 of UMAA-G100 Undergraduate Mathematics (BSc)
- UMAA-G103 Undergraduate Mathematics (MMath)
- Year 2 of G100 Mathematics
- Year 2 of G103 Mathematics (MMath)
- Year 2 of UMAA-G1NC Undergraduate Mathematics and Business Studies
- Year 2 of UMAA-GL11 Undergraduate Mathematics and Economics
This module is Option list B for:
- Year 2 of UCSA-G4G1 Undergraduate Discrete Mathematics
- UCSA-G4G3 Undergraduate Discrete Mathematics
- Year 2 of G4G1 Discrete Mathematics
- Year 2 of G4G3 Discrete Mathematics