Mathematics I - PH311

Location Term Level Credits (ECTS) Current Convenor 2019-20
Canterbury Autumn
View Timetable
4 15 (7.5) PROF M Smith

Pre-requisites

UK Advanced Level Mathematics Examinations with a normal minimum attainment of a Grade C on the main Mathematics A - Level. Any generally accepted equivalent of this content and attainment is regarded as an acceptable prerequisite.

Restrictions

None

2019-20

Overview

Derivatives and Integrals: Derivatives of elementary functions, chain rule, product rule, Integrals of elementary functions, Evaluation by substitution, Integration by parts, Area under the graph of a function.

Vectors: Basic properties, linear dependence, scalar and vector products, triple products, vector identities.

Matrices: Matrix representation, systems of equations, products, inverses, determinants, solution of linear systems, eigenvalues and eigenvectors, transformations.

Elementary Functions: Binomial coefficients, expansions and series, Maclaurin series, Taylor series, Exponential functions, Hyperbolic functions, Inverse functions.

Functions of a single variable: Linear and quadratic functions, polynomials, rational functions, limits, infinite series, approximation of functions.

Complex numbers: Quadratic equations, Argand diagram, modulus, Argument, complex exponential, de Moivre's theorem, roots of polynomials.

Details

Contact hours

24 hours of lectures; 12 hours of workshops. Guidance on weekly assessments is given in workshops and students are expected to spend an extra 1-2 hours a week finalising their work for submission and quick feedback during the following workshop.

Availability

This is not available as a wild module.

Method of assessment

Coursework, comprising assignments and two in-course tests involving problem solving for 30%.
Final Examination of length 2 hours for 70%.

Indicative reading

Engineering Mathematics (7th Ed.); Stroud, K.A. & Booth, D.J. (2013)

See the library reading list for this module (Canterbury)

Learning outcomes

  • An ability to solve problems in physics using appropriate mathematical tools.
  • An ability to present and interpret information graphically.
  • An ability to make use of appropriate texts, research-based materials or other learning resources as part of managing their own learning.
  • An ability to solve fundamental problems in physics using appropriate mathematical tools.
  • An ability to present and interpret information graphically.
  • An ability to make use of appropriate texts, research-based materials or other learning resources as part of managing their own learning.
  • Problem-solving skills, in the context of both problems with well-defined solutions and open-ended problems; an ability to formulate problems in precise terms and to identify key issues, and the confidence to try different approaches in order to make progress on challenging problems. Numeracy is subsumed within this area.
  • Analytical skills – associated with the need to pay attention to detail and to develop an ability to manipulate precise and intricate ideas, to construct logical arguments and to use technical language correctly.

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