## Mathematics 2E1

 Unit code: MATH29681 Credit Rating: 10 Unit level: Level 2 Teaching period(s): Semester 1 Offered by School of Mathematics Available as a free choice unit?: N

None

#### Aims

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

#### 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.

#### Assessment methods

• Other - 20%
• Written exam - 80%

#### Assessment Further Information

Coursework 1 (week 7) Weighting within unit 10%. Written or computerised Assignment
Coursework 2 (week 11) Weighting within unit 10%. Written or computerised Assignment
2 hour (semester 1) examination Weighting within unit 80%

#### Syllabus

5 lectures: Laplace Transforms : Definitions : Transforms of simple functions (integration from -infinity to infinity). Inverse Transforms. Transforms of first and second derivatives. Delta and Step Functions. Shift Theorems. Solution of Ordinary Differential Equatios by Laplace Transforms. Application to LRC circuits. Transfer Functions.
8 lectures : Vector Calculus : Scalar and Vector fields. Gradient, divergence and curl. Laplacian. Identities. Line, surface and volume integrals Divergence Theorem. Stokes Theorem. Green's Theorem in the Plane.
9 lectures : Linear Algebra : Matrices, matrix algebra and inverse matrices. Soluton of Linear Equations, Gaussian Elimination. Linear Spaces, transformations and Projections. Eigenvalues and Eigenvectors. Diagonalisation of Square Matrices. Solution of sytems of linear ODEs Note :- Some terminology consistent with Matlab should be used.

#### Study hours

• Assessment written exam - 2 hours
• Lectures - 24 hours
• Tutorials - 11 hours
• Independent study hours - 63 hours

#### Teaching staff

David Stevens - Unit coordinator

John Parkinson - Unit coordinator