MA207      Half Unit
Further Quantitative Methods (Mathematics)

This information is for the 2021/22 session.

Teacher responsible

Dr James Ward

Availability

This course is available on the BSc in Management. This course is available as an outside option to students on other programmes where regulations permit. This course is available with permission to General Course students.

Pre-requisites

Students should have previously taken MA107 Quantitative Methods (Mathematics). It is not available to students who have taken MA100 Mathematical Methods, or equivalent, nor higher level methods courses.

Course content

This is a second course in quantitative methods, following on directly from Quantitative Methods (Mathematics) (MA107). This course will contain further algebra and calculus. As with the course MA107, the emphasis will be on applications in economics and finance. Topics covered: Matrix methods in portfolio analysis. Linear independence. Rank of a matrix. Eigenvalues and eigenvectors. Diagonalisation. Linear systems of recurrence equations. Markov process. Second-order recurrence equations. Macroeconomic models. Vector geometry. Gradient and directional derivative. Tangent hyperplanes and the optimal bundle. Resource allocation and Pareto efficiency. Orthogonal matrices and quadratic forms. Critical points of quadratic functions. Taylor's approximation. Optimisation of functions of two or more variables.

Teaching

This course is delivered through a combination of classes and lectures totalling a minimum of 30 hours across Lent Term. This year, apart from pre-recorded lecture videos, there will be a weekly live online session of an hour. Depending on circumstances, classes might be online.

Formative coursework

Written answers to set problems will be expected on a weekly basis.

Indicative reading

M Anthony & N Biggs, Mathematics for Economics and Finance (Cambridge, 1996); A Ostaszewski, Mathematics in Economics (Blackwell, 1993).

Assessment

Exam (100%, duration: 2 hours) in the summer exam period.

Course selection videos

Some departments have produced short videos to introduce their courses. Please refer to the course selection videos index page for further information.

Important information in response to COVID-19

Please note that during 2021/22 academic year some variation to teaching and learning activities may be required to respond to changes in public health advice and/or to account for the differing needs of students in attendance on campus and those who might be studying online. For example, this may involve changes to the mode of teaching delivery and/or the format or weighting of assessments. Changes will only be made if required and students will be notified about any changes to teaching or assessment plans at the earliest opportunity.

Key facts

Department: Mathematics

Total students 2020/21: 133

Average class size 2020/21: 15

Capped 2020/21: No

Value: Half Unit

Guidelines for interpreting course guide information

Personal development skills

  • Self-management
  • Problem solving
  • Application of information skills
  • Communication
  • Application of numeracy skills
  • Specialist skills