1R2

Unit specification

Aims

The programme unit aims to provide a basic second semester course in calculus and algebra to students with AS-level mathematics or equivalent in the school of Electrical Engineering.

Brief description

4 lectures : Complex Numbers: Definition. Modulus, argument and conjugate. Algebraic operations in Cartesian and polar form. Argand Diagram.

2 lectures: Hyperbolic Functions: Definition, properties, inverse functions. Derivatives and integrals. Osborne's Rule.

6 lectures: Matrices: Definition. Addition, subtraction and multiplication by a scalar. Multiplication of two matrices. Square Matrices. Inverse Matrices. Solution of Equations.

6 lectures: Further Integration / ODEs: Integration by substitution (x=g(u)). First-order ODEs. Separable Equations. Linear Equations and integrating factors.

4 lectures: Further / PArtial Differentiation: Parametric and Implicit Differentiation. Partial Differentiation. Total Differentiation.

Textbooks

KA Stroud, Engineering Mathematics, Palgrave

Croft et al., Introduction to Engineering Mathematics, Pearson

Intended learning outcomes

Knowledge and understanding: Be familiar with complex numbers, hyperbolic functions, matrices, integration, simple ordinary differential equations and partial differentiation.

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 per week. One small group tutorial in weeks 2-12.

Lectures : 22

Tutorials : 11

Hours of private study : 67

Assessment

Coursework 1(week 4), 1 hour Weighting within unit 10%

Coursework 2 (week 6), 1 hour Weighting within unit 10%

Coursework 3 (week 8), 1 hour Weighting within unit 10%

Coursework 4 (week 10), 1 hour Weighting within unit 10%

Retests available 1 week later

2 hour examination (semester 2) Weighting within unit 60%

to the top

Arrangements

This is a first-year second-semester module for those students from Electrical Engineering and Electronics who took 1R1 in semester 1.

Lectures

There are two lectures each week as follows

Tutorials