The course is designed to develop student’s key knowledge, understanding, skills and application of mathematics in subject-related contexts appropriate for entry to a degree course at any one of the NCUK Partner Universities.

## Course outlines

Introduction to Statistics

Data collection: Introduction to sampling and
probability for marketing research and
experimentation. Collection and presentation of
statistical data. Histograms and the cumulative
frequency polygon and curve.
Data summaries: Mode, median and mean.
Standard deviation. Quartiles and interquartile
range.

Further Probability and Set Theory

Further Probability: Mutually exclusive events and
independent events. Laws of Probability. Conditional
Probability.
Set Theory: Sets, intersections, unions,
complements. Venn diagrams, including their use to
solve probability problems.

Correlation, Linear Regression and Time Series

Correlation: Scatter graphs. Calculation and
interpretation of the coefficient of correlation.
Linear Regression: Calculation of the equation of a
least-squares linear regression line.
Time Series: Trend-line, moving averages.

Probability Distributions

Discrete random variables: Probability distributions
given algebraically or in tables. Calculate the mean
E( ) and the variance Var( ).Distributions: Binomial distribution. Normal
distribution and confidence intervals.

## Course outlines

Financial Mathematics

Percentage and percentage change. Interest.
Appreciation and Depreciation.

Further Differentiation

Rules: Sum, product , quotient rules and the chain
rule (composite functions) Implicit differentiation.

Further Integration

Integration by substitution. Change of variable. Use
of Formula Booklet (see Appendix C).
Partial fractions (linear factors, repeated linear
factors, improper fractions), integration by partial
fractions.

Integration by parts.