MT2076 Management mathematics
Students may bring into the examination hall their own hand held electronic calculator. If calculators are used they must satisfy the requirements listed in Section 3, Assessment for the programme, of the Detailed Regulations.
Graph paper and statistical tables will be provided.
May not be taken with MT105B Mathematics 2.
Prerequisites (applies to degree students only)
ST104A Statistics 1 and either MT105A Mathematics 1 or MT1174 Calculus.
Logical use of set theory and Venn diagrams.
Trigonometric functions. Imaginary numbers. (The prime requirement for both these topics is for modelling of cyclical dynamics via difference and differential equations).
Difference (first and second order) and differential equations (linear, first and second order). Simultaneous second order equations.
Further applications of matrices: input/output, networks, Markov chains, transition/product switching matrices.
Simple stochastic processes - including 'Gambler's ruin', 'Birth and Death' and queuing models. Analysis of queues to include expected waiting time and expected queue length.
Statistical modelling. Analysis of multivariate models. Simple treatment of construction and interpretation of factor analysis and discriminant analysis models.
Time series analysis. Forecasting techniques (including exponential smoothing, moving averages, trend and seasonality, simple Box-Jenkins (ARIMA)).
Introduction to econometrics. Multiple regression (including using F tests). Simple analysis of variance.
Principles of mathematical modelling.
Clustering techniques and appreciation of other models. Data reduction models. Interpreting various types of scatter plots.