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Unit information: 1AM Further Mathematics in 2013/14

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Unit name 1AM Further Mathematics
Unit code MATH10002
Credit points 20
Level of study C/4
Teaching block(s) Teaching Block 2 (weeks 13 - 24)
Unit director Professor. Porter
Open unit status Open
Pre-requisites

Strictly Mathematics 1A20 (MATH11004) only.

Co-requisites

None.

School/department School of Mathematics
Faculty Faculty of Science

Description

Unit aims

To introduce and develop skill in the mathematics needed to study the sciences at degree level.

Description

The unit is divided into two distinct parts.

The linear algebra section deals with vectors, matrices and eigenvalues (which are fundamental to atomic physics, molecular chemistry, computational graphics, and many other branches of science and engineering).

The Calculus 2 section picks up and develops some ideas from the prerequiste 1A20 unit, and then proceeds to extend the ideas and methods of calculus to functions of more than one variable. (This material is essential for physics and chemistry: electromagnetic fields and quantum wave functions are functions of several variables.)

Intended learning outcomes

After taking this unit, students should have: -a good understanding of single-variable calculus, as far as Taylor series, techniques for solving simple differential equations and working with Fourier series, -a basic familiarity with vectors and matrices, including eigenvalues and eigenvectors, -the ability to work with functions of two variables, and their derivatives and integrals.

Transferable Skills:

Mathematical techniques for application in the physical sciences.

Teaching details

The unit is based on lectures supported by problems classes and tutorials on how to apply the techniques 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

The following book is recommended, but it is not essential.

Jordan, D.W. & Smith, P. Mathematical Techniques: An introduction for the engineering, physical, and mathematical sciences (4th edition), Oxford University Press, Oxford, 2008.

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