MA100
Mathematical Methods
This information is for the 2013/14 session.
Teacher responsible
Dr Michele Harvey and Dr Ioannis Kouletsis
Availability
This course is compulsory on the BSc in Actuarial Science, BSc in Business Mathematics and Statistics, BSc in Econometrics and Mathematical Economics, BSc in Economic History with Economics, BSc in Economics, BSc in Economics and Economic History, BSc in Economics with Economic History, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Statistics with Finance. This course is available on the BSc in Accounting and Finance, BSc in Philosophy and Economics and MSc in Economics (2 Year Programme). This course is available as an outside option to students on other programmes where regulations permit and to General Course students.
Prerequisites
This course assumes knowledge of the elementary techniques of mathematics including calculus, as evidenced for example by a good grade in A Level Mathematics.
Course content
This is an introductory level course for those who wish to use mathematics seriously in social science, or in any other context. A range of basic mathematical concepts and methods in calculus of one and several variables and in linear algebra are covered and some applications illustrated. It is an essential prerequisite for any mathematically orientated economics options and for many further mathematics courses. Topics covered: Matrices, reduced row echelon form, rank. Systems of linear equations, Gaussian elimination. Determinants. Vector spaces, linear independence, basis, dimension. Linear transformations, similarity. Eigenvalues. Diagonalization. Orthogonal diagonalization. Complex numbers. Vectors. Functions of several variables, derivatives, gradients, tangent hyperplanes. Optimisation including Lagrange's method. Vectorvalued functions, derivatives and their manipulation. Inverse functions, local inverses and critical points, use in transformations. Integration, differential and difference equations. Some applications of the above topics.
Teaching
20 hours of lectures, 9 hours of classes and 10 hours of workshops in the MT. 20 hours of lectures, 10 hours of classes and 10 hours of workshops in the LT. 4 hours of lectures and 2 hours of classes in the ST.
Formative coursework
Students will be expected to complete exercises assigned weekly in the lectures. Written answers to specified exercises are submitted to the appropriate class teacher for evaluation. Success in this paper depends on dealing with this written work as it is assigned, in a regular and systematic manner.
Indicative reading
Ken Binmore & Joan Davies, Calculus, Concepts and Methods; Martin Anthony & Michele Harvey, Linear Algebra, Concepts and Methods.
Assessment
Exam (100%, duration: 3 hours) in the main exam period.
Key facts
Department: Mathematics
Total students 2012/13: 525
Average class size 2012/13: 15
Value: One Unit
PDAM skills
 Selfmanagement
 Problem solving
 Application of information skills
 Communication
 Application of numeracy skills
 Specialist skills
Course survey results
(2010/11  2012/13 combined)
1 = "best" score, 5 = "worst" scoreThe scores below are average responses.
Response rate: 83.6%
Question 
Average  

Reading list (Q2.1) 
2.3  
Materials (Q2.3) 
1.8  
Course satisfied (Q2.4) 
1.9  
Lectures (Q2.5) 
2.2  
Integration (Q2.6) 
1.9  
Contact (Q2.7) 
2.3  
Feedback (Q2.8) 
2.2  
Recommend (Q2.9) 
