Applied Algebra
| Code | School | Level | Credits | Semesters |
| MTHS2002 | Mathematical Sciences | 2 | 10 | Spring UK |
- Code
- MTHS2002
- School
- Mathematical Sciences
- Level
- 2
- Credits
- 10
- Semesters
- Spring UK
Summary
To provide students with analytical capability in a range of key applied algebra techniques as typically used in the quantitative study of problems in business, finance and economics. The complexity of solving general (large) systems of equations is examined in terms of matrix techniques. Matrix algebra is extended to identify characteristics of matrix systems in term of eigenvalues and eigenvectors. Techniques are developed to solve difference equations and systems of equations subject to constraints. Optimisation of management and operations research type problems will be addressed with elementary linear programming techniques.
Target Students
Not available to students in the Faculties of Science or Engineering. Only available to level 2, 3 or 4 students.
Classes
- One 1-hour seminar each week for 11 weeks
- Two 1-hour lectures each week for 11 weeks
Each week there will normally be two lecture hours and a seminar hour of worked examples or tutorial problem support.
Assessment
- 10% Coursework 1
- 90% Exam 1 (2-hour): Written exam.
Assessed by end of spring semester
Educational Aims
Thiscourse provides key mathematical techniques and algebra tools for the advanced analysis of linear mathematical problems relevant to business, finance and economics.Learning Outcomes
Knowledge and understanding of fundamental concepts of linear algebra.
On successful completion of this module students will be able to:
L1 - apply matrix methods to solve systems of linear equations.
L2 - solve eigenvalue problems of matrices.
L3 - solve linear problems that involve difference equations.
L4 - apply linear programming methods to find optimal solutions for systems of equations subject to constraints.