Mathematical Methods - MAST4006

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Module delivery information

Location Term Level1 Credits (ECTS)2 Current Convenor3 2024 to 2025
Canterbury
Autumn Term 4 15 (7.5) Daniel Bearup checkmark-circle

Overview

This module introduces widely-used mathematical methods for functions of a single variable. The emphasis is on the practical use of these methods; key theorems are stated but not proved at this stage.
Basic notation for sets and number systems including complex numbers (a+ib representation only). Standard functions: trig functions, polynomials, rational functions, exponentials and logarithms.
Single variable calculus: Differentiation, including product and chain rules; Fundamental Theorem of Calculus (statement only), elementary integrals, change of variables, integration by parts, differentiation of integrals with variable limits.
Curve sketching: graphs of elementary functions, maxima, minima and points of inflection, asymptotes.
Algebra of matrices and vectors; addition, multiplication, transposes, inner-products.
Row reduced echelon form, solving linear systems (homogeneous and inhomogeneous).
Inverse of a matrix.

Details

Contact hours

Contact hours: 44
Private study: 106
Total: 150

Method of assessment

Assessment 1 Exercises, requiring on average between 10 and 15 hours to complete 20%
Assessment 2 Exercises, requiring on average between 10 and 15 hours to complete 20%
Examination 2 hours 60%
The coursework mark alone will not be sufficient to demonstrate the student's level of achievement on the module.

Indicative reading

The University is committed to ensuring that core reading materials are in accessible electronic format in line with the Kent Inclusive Practices.
The most up to date reading list for each module can be found on the university's reading list pages.

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 knowledge of the underlying concepts and principles associated with basic mathematical methods for functions of a single variable, and algebraic operations with matrices and vectors.
2 demonstrate the capability to make sound judgements in accordance with the basic theories and concepts for single-variable calculus, vectors, and matrices, whilst demonstrating a reasonable level of skill in calculation and manipulation of the material;
3 apply the underlying concepts and principles associated with basic single-variable calculus techniques and matrix operations in several well-defined contexts, showing an ability to evaluate the appropriateness of different approaches to solving problems in this area.

Notes

  1. Credit level 4. Certificate level module usually taken in the first stage of an undergraduate 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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