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Unit information: Mathematics 1A20 in 2019/20

Please note: Due to alternative arrangements for teaching and assessment in place from 18 March 2020 to mitigate against the restrictions in place due to COVID-19, information shown for 2019/20 may not always be accurate.

Please note: you are viewing unit and programme information for a past academic year. Please see the current academic year for up to date information.

Unit name Mathematics 1A20
Unit code MATH11004
Credit points 20
Level of study C/4
Teaching block(s) Teaching Block 1 (weeks 1 - 12)
Unit director Dr. Tourigny
Open unit status Not open
Pre-requisites

A-level Mathematics at grade C or above

Co-requisites

None

School/department School of Mathematics
Faculty Faculty of Science

Description

Unit aims

To consolidate, develop and extend the skills in single variable calculus introduced at A level.

Unit Description

This unit is designed for students with a good grasp of A level mathematics who want a 20 credit-point unit on mathematical techniques.

The unit begins with some basic ideas revising and extending school-level calculus, and then goes on to a thorough treatment of the calculus from the point of view of scientific applications. The subject is developed as far as differential equations and Fourier series. The mathematics is treated with enough logical precision to enable correct calculations and correct deductions to be made.

Intended learning outcomes

After taking this unit, students should have a thorough grasp of one-variable calculus and complex numbers, including simple differential equations and Fourier Series.

Transferable Skills:

Mathematical techniques for application in the physical sciences.

Teaching details

The unit is based on lectures and tutorials on how to apply the techniques of the calculus in solving problems.

The lecturer will distribute problem sheets based on the work done in lectures, and will set specific problems which you will be required to hand in to tutors for marking. From week 2 or 3 of the course, students will attend weekly tutorials in which homework questions and additional problems will be covered.

Assessment Details

100% examination.

Reading and References

Recommended

  • D.W. Jordan and P. Smith, Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences, Oxford University Press, 2008

Further

  • J.S. Berry, Allan Northcliffe, and Stephen Humble, Introductory Mathematics Through Science Applications, Cambridge University Press, 1989
  • Mary L. Boas, Mathematical Methods in the Physical Sciences, Wiley and Sons, 2006
  • John E. Gilbert and C.R. Jordan, Guide to Mathematical Methods, Palgrave, 2002
  • Alan Jeffrey, Mathematics for Engineers and Scientists, Chapman &Hall, 2005
  • Alan Jeffrey, Essentials of Engineering Mathematics, Chapman &Hall, 2005
  • James Stewart, Calculus: Early Transcendentals, Brooks/Cole, 2012

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