Introduction to Mathematics and Statistics
MODULE CODE
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Module Aims
Aim 1
Develop the student’s ability to use common mathematics in non-maths-based subjects.
Aim 2
Introduce the students to techniques and methods of data analysis
Aim 3
Introduce the students to terminology and methods of statistical analysis.
Aim 4
Develop the students’ ability to interpret data.
Aim 5
Develop the student’s critical and analytical skills.
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.
Learning Outcomes
On successful completion of this module, a student will be able to:
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.
Assessment Methods
This module is assessed through an online homework, an in-class assessment and an examination.
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Compulsory
Optional
