1E2

Unit specification

Aims

The programme unit aims to provide a second semester course in calculus and algebra to students in school of Electrical and Electronic Engineering and the school of Chemistry.

Brief description

4 lectures: Integration : Working definition of the integral. Fundamental theorem of calculus Physical interpretation. Definite integrals and areas under curves. Revision of integration techniques (polynomials etc). Integration by parts, by substitution and by partial fractions. (partial fractions themselves part of followup). Applications of integration. (this topic follows on from the 3 lectures from 1E1).

2 lectures : Series : Simple Series : convergence of geometric series : Maclaurin and Taylor Series

8 lectures : Multivariate Calculus : Functions of two or more variables. Partial Differentiation. Gradient. Chain Rule. Multiple integration and line integration. Taylor Series in two variables. Maxima and minima in two dimensions.

8 lectures: Ordinary Differential Equations : Concept, order and role of conditions. 1st order linear equations with constant coefficients (Emphasizing a complementary function / particular integral approach but making mention of integrating factors. Natural and Forced response (including the case of resonance). 2nd order linear equations with constant coefficients, characteristic polynomials. Mathematical and physical interpretation of solutions (time-constant etc).

Textbooks

KA Stroud, Engineering Mathematics, Palgrave

Croft et al., Introduction to Engineering Mathematics, Pearson

Intended learning outcomes

Knowledge and understanding: Be familiar with the topics in the syllabus.

Intellectual skills: Be able to carry out routine operations involving the topics in the syllabus.

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

Two lectures in weeks 1-11. One smallish-group tutorial in weeks 2-12.

Lectures : 22

Tutorials : 11

Hours of private study : 67

Assessment

Coursework 1 (week 4) Weighting within unit 5%. Computerised exercise followed by class for relevant individuals.

Coursework 2 (week 6-7) Weighting within unit 5%. Computerised exercise followed by class for relevant individuals.

Coursework 3 (week 9) Weighting within unit 5%. Computerised exercise followed by class for relevant individuals.

Coursework 4 (week 11-12) Weighting within unit 5%. Computerised exercise followed by class for relevant individuals.

2 hour (semester 2) examination Weighting within unit 80%

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There are two lectures per week. Details are :-

Each student has one tutorial per week, starting in week 2. The groups remain as the 1E1 tutorial groups but the rooms and tutors change for this semester.

• 1E2 Tutorials will be Friday 10 am (2012-13)

Online course materials are available for this unit.