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.

**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.

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.

- Mathematics for Business, Science, and TechnologySteven T. Karris

2007 - Fundamentals of Actuarial MathematicsS. David Promislow

2014 - Business Ratios and Formulas : A Comprehensive GuideSteven M. Bragg
- Basic Business Math : A Life-Skills ApproachRichard P. Truchon and Tony Hicks

1997 - Financial MathematicsA. Lenin Jothi

2009 - An Introduction to The Mathematics of FinanceA. H. Pollard

2015