1E1

 

Unit specification

Aims

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

Brief description

5 lectures : Vectors : Vectors in component form ; vector addition, subtraction and multiplication by a scalar ; parallelogram and triangle of vectors ; vector equation of a straight line ; Scalar products ; vector products.

4 lectures : Coordinate Systems : Alternate coordinate systems in 2 and 3 dimensions i.e. cartesian, plane polar, cylindrical, spherical. Transformations between systems highlighting the role of the correct quadrant / octant and concentrating on points and position vectors.

4 lectures : Complex Numbers and Hyperbolic Functions : Definition of complex numbers : algebraic operations ; modulus, argument and Argand diagram ; trigonometric and exponential forms. De moivre's Theorem Definition of hyperbolic functions. Elementary properties. Inverse functions ; Osborne's Rule.

6 lectures : Differentiation : Working definition (rate of change, physical interpretation). Differentiation rules (parametric, implicit, logarithmic etc) Derivatives of logarithmic and hyperbolic functions. Applications to maxima and minima. l'Hopital's rule (including working defn of limit). Newton Raphson Method (application of differentiation).

3 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 also to form 4 lectures from 1E2).

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 1-12. One smallish-group tutorial in weeks 2-12.

Lectures : 24

Tutorials : 11

Hours of private study : 65

Week Lectures continue in week 6.

Assessment

Diagnostic Followup Coursework (if needed) (week 4) Weighting within unit 10%

Coursework 2 (final date Friday 9th November) Weighting within unit 5%. Computerised exercise.

Coursework 3 (final date Friday 23rd November) Weighting within unit 5%. Computerised exercise .

Coursework 4 (final date Friday 14th December) Weighting within unit 5%. Computerised exercise.

2 hour (semester 1) examination Weighting within unit 75%

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Arrangements

This is a first year, first semester course for students in the school of Electrical and Electronic Engineering

All students attend two lectures per week as below. These run from weeks 1 to 12.

The lectures for course 1E1 (MATH19681) for 2012-13 are as follows

• Wednesday 9 am : Sackville/F47
• Friday 9 am : Sackville/F47
• Lectures given by Dr J Parkinson

On certain Wednesday mornings there will be sessions devoted to coursework in either Renold/D1 or the Joule library cluster. Students should refer to announcements in lectures and e-mail.

Each student attends one examples class per week. These run from week 2 to week 12.

• Friday 10 am

Examples Classes start in week 2