Foundation Mathematics 2 - MAST3003

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Module delivery information

Location Term Level1 Credits (ECTS)2 Current Convenor3 2022 to 2023
Canterbury
Spring Term 3 15 (7.5) Tom Bennett checkmark-circle

Overview

This module introduces the ideas of integration and numerical methods.
a) Integration: Integration as a limit of a sum and graphical principles of integration, derivatives, anti-derivatives and the Fundamental Theorem of Calculus (without proof), definite and indefinite integrals, integration of simple functions.
b) Methods of integration: integration by parts, integration by change of variables and by substitution, integration by partial fractions.
c) Solving first order differential equations: separable and linear first order differential equations. Construction of differential equations in context, applications of differential equations and interpretation of solutions of differential equations.
d) Maple: differentiation and integration, curve sketching, polygon plots, summations.

Additional material may include root finding using iterative methods, parametric integration, surfaces and volumes of revolution.

Details

Contact hours

Total contact hours: 44
Private study hours: 106
Total study hours: 150

Method of assessment

80% examination, 20% coursework

Indicative reading

Core Maths for Advanced Level, L Bostock and S Chandler, Nelson Thornes Ltd, 2013.
Calculus of One Variable, K.E.Hirst, Springer-Verlag (2006) (available through SpringerLink)
An Introduction to Modern Mathematical Computing, J. Borwein and M. Skerritt, Springer (2011).

See the library reading list for this module (Canterbury)

Learning outcomes

The intended subject specific learning outcomes.
On successfully completing the module students will be able to:
1 demonstrate understanding of the basic body of knowledge associated with standard functions and their graphical interpretation;
2 demonstrate the capability to solve problems in accordance with the basic theories and concepts of the numerical and analytical integration of functions of a single variable, whilst demonstrating a reasonable level of skill in calculation and manipulation of the material;
3 apply the basic techniques associated with integration in several well-defined contexts;
4 demonstrate a mathematical proficiency suitable for stage 1 entry.

The intended generic learning outcomes.
On successfully completing the module students will be able to:
Demonstrate an increased ability to:
1 manage their own learning and make use of appropriate resources;
2 understand logical arguments, identifying the assumptions made and the conclusions drawn;
3 communicate straightforward arguments and conclusions reasonably accurately and clearly;
4 manage their time and use their organisational skills to plan and implement efficient and effective modes of working;
5 solve problems relating to qualitative and quantitative information;
6 make use of information technology skills such as online resources (Moodle), internet communication.
7 demonstrate skill in numeracy and computation.

Notes

  1. Credit level 3. Foundation level module taken in preparation for a degree.
  2. ECTS credits are recognised throughout the EU and allow you to transfer credit easily from one university to another.
  3. The named convenor is the convenor for the current academic session.
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