IF0FMJ-Foundation Mathematics

Module Provider: International Study and Language Institute
Number of credits: 40 [20 ECTS credits]
Level:F
Terms in which taught: Spring / Summer term module
Pre-requisites:
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Current from: 2022/3

Module Convenor: Dr Rehana Bari
Email: r.bari@reading.ac.uk

Type of module:

Summary module description:

This module provides an introduction to basic mathematical techniques to ensure that students can deal with arithmetic, algebra, trigonometry, differential and integral calculus to a standard which will support entry to an undergraduate degree programme. In statistics we cover contents such as representation and summary of data, probability, correlation and regression, binomial and normal distribution.

Aims:

To provide a solid grounding in the key elements of pure mathematics and statistics to a good A-level standard for students approaching a degree in economics, finance, management, Ìýbusiness or science pathways.

Assessable learning outcomes:

By the end of the module it is expected that the student will be able to:

• handle with confidence and accuracy the techniques of algebra required for the solution of equations, differentiation and integration.


• interpret a range of problems, selecting the relevant procedure needed for solution.


• find graphical solutions to questions.


• analyse statistical and financial data, recognise Normal and Binomial distributions and be able to calculate probabilities associated with them.
  
  Ìý

Additional outcomes:

Students are expected to learn to work independently under pressure of time and may be required to present their solutions orally in a small group context. They should grow in confidence in assessing the essential elements of a solution and in the written explanation of problems.

Outline content:

The syllabus for Foundation Mathematics Ìýnormally covers a total of 15 topics each of which takes between one and three weeks to complete. ÌýAll students will study pure maths and statistics topics (80%). In addition students will study some subject specific content (20%). Those on HBS pathways will study the HBS content below and all other students will study the science pathways content below.

Pure Maths: The module begins with the basic concepts of algebra and number theory. The study of functions and mappings, including composite and inverse functions follows. This is followed by the calculus needed for maximisation and minimisation for practical problems. In the second term, arithmetic and geometric progressions, further differentiation and integration are introduced

Statistics: Descriptive statistics and probability theory complete the first term. Regression and correlation and time series are followed by a study of the binomial distribution. The module is completed in the Summer Term by a study of the normal distribution.

Science Pathways : Algebra and functions – graphs to simple cubic functions, effect of simple transformations, binomial expansion, trigonometry – sine, cosine and tangent functions, their graphs, basic identities including double angle formula; differentiation of trigonometric functions, use definite integrals to findthe area under a curve and the area between two curves.

Business, Economics and Finance: ÌýGraphical analysis of linear functions is applied to supply and demand problems. This is followed by the calculus needed for maximisation and minimisation applications of the economic and business model. Savings and compound interest applications, marginal functions and price elasticity for demand, Integration - application to business problems,Ìý index number

Brief description of teaching and learning methods:

Lectures and small group tutorials.



Weekly surgery hours for individual assistance as required.