MATH19730 - part 2

Unit specification

Aims

The programme unit aims to Revise and extend the students' knowledge of probability/statistics, differentiation, integration and the solution of first-order differential equations of simple type. Strictly speaking, this is HALF of the 20-credit unit MATH19730

Brief description

1 : Vectors : Scalar and Vector Products, normals to planes equations of planes and lines

2 : Complex Numbers addition, multiplication, division, Argand diagram, polar form, de Moivre's theorem, exp(i θ)

3 : Partial Differentiation : functions of two variables, stationary points (but no classification), functions of three variables, simple surfaces, normal to a surface (grad w)

4 : Matrices : linear equations written as Ax = b. Addition and multiplication of matrices, transposed, identity and zero matrices. Solutions of 3 x 3 sets of linear equations, inverse matrix, determinants, cofactors.

5 : Differential Equations : first order, separable, linear; second order linear with constant coefficients - complimentary functions and particular integrals.

This unit shares many classes with MATH19740 - part 2. MATH19730 - part 2 is aimed at students who entered the university WITH A-level mathematics.

Reading list

DW Jordan and P Smith, Mathematical Techniques, Oxford University Press, 1994

KA Stroud, Engineering Mathematics, Palgrave

Intended learning outcomes

Knowledge and understanding:

1 Calculate probabilities and simple statistics.

2 Differentiate various functions and use the chain and product rukes.

3 Integrate by substitution, partial fractions and by parts.

4 Solve first order differential equations of separable type and of linear form.

5 Solve elementary second order dofferential equations.

Intellectual skills: Be able to carry out substantial calculations involving the topics in the syllabus and recognise the techniques necessary.

Transferable skills and personal qualities: Have a set of tools and methods that can be applied in the courses given in the host department or in subsequent years.

Learning and teaching processes

Three lectures/tutorials per week.

Lectures + Tutorials : 33

Hours of private study : 67

Assessment

Module Test Weighting within unit 25%

2 hours (semester 2) examination Weighting within unit 75%

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Arrangements

This is a first-year, second-semester module for students in Materials Science. There are two slightly different options available to students. Students from the first-semester module MATH19730 - part 1 take the module MATH19730 - part 2 and attend 3 classes (lectures/tutorials) per week. Students from the first semester course unit MATH19740 - part 1 take course unit MATH19740 - part 2 which involves an EXTRA class per week

The classes for course 1G2 (MATH19730 - part 2) for 2012-13 are as follows

• Lecture : Monday 10 am in Alan Turing G.107
• Lecture : Friday 9 am in Turing/G205
• Lecture : Friday 10 am in Turing/G205

The extra classes for course 1G2 (MATH19740 - part 2) for 2011-12 are as follows

• Tuesday 9 am in room Uni Place 1.218