Module Content

Numbers: Roots, powers and indices. Logarithms. Percentages. Conversions.

Algebra: Manipulating algebraic expressions. Solving equations.

Data: Methods of representing data. Interpretation of data representation.

Combinatorics: Factorials (arranging n objects in n! ways etc.), combinations, permutations.

Probability: What is a probability? Events and sample spaces, probabilities from Venn diagrams, probabilities from formulae (unions/intersections), mutually exclusive events, exhaustive events, conditional probability, independent events, probability trees, experimental probability.

Statistics: Mean, median, mode, finding these from frequency distributions and grouped frequency distributions, the interpretation and uses of the different measures. Range, percentiles/quartiles/interquartile range, standard deviation and variance, calculating these measures from frequency distributions and grouped frequency distributions, outliers, the interpretation and uses of the different measures.

Teaching Methods

The class contact will consist of teaching classes together with workshops. Teaching classes will introduce new material and provide examples. Workshops have no new material introduced. Students will attempt problems during the workshops. Key elements of the learning strategy are regular sessions during which problems are attempted. Throughout the week students will be given a list of problems to attempt. Every two weeks there will be a short test on the recent material covered.

The module will be assessed by short tests and a final examination. To assess and grade how well the students understand all of the topics covered in the module, given the benefit of all the feedback from the short tests, a final examination is used.

Assessment Methods

This module is assessed through 15 (indicative only) On-line homework, 4 In-class assessment and 2 Examinations.