**FHEQ Level:** Level 4 (First Year)

**Credits:** 20

**Module Code:** F300 10039

**Course Reference Number (CRN):** 59405

**Delivery:** September Start, Trimesters 1&2 (Long Thin)

#### Syllabus Outline

• Algebra and Functions

• Differentiation and Integration

• Geometry and Coordinate Systems

• Vectors and Matrices

• Complex Numbers

• Differential Equations: First Order Equations; Second Order Equations, Applications to Simple Physical Systems, Partial Differential Equations

• Series: Notions of Convergence, Taylor and Maclaurin Series, Power Series, Fourier Series

#### Assessment

Coursework: Assignment 1, 50%

Coursework: Assignment 2, 50%

More detailed information may be found in the Assessments section.

#### Texts

Engineering Mathematics – K.A. Stroud and D.J. Booth (8th Edition) MacMillan (2020)

Further updates and supplementary texts may be found in the University Reading Lists system.

#### Description

You will learn core mathematics techniques essential to physics. Topics include functions and algebra, differentiation, integration, vectors, matrices, complex numbers, differential equations and series. The module is taught through a combination of lectures and problem tutorial classes.

#### Aims

1. To review essential fundamental mathematical techniques relevant to physics and engineering

2. To introduce the subjects of algebra, trigonometry, functions, geometry, vectors, matrices, complex numbers, calculus, differential equations, and series, with emphasis on their applications to physics and engineering

3. To provide the mathematical training in support of physics and engineering modules

#### Knowledge & Understanding

On successful completion of this module, you will be able to:

1. Solve numerate problems in the fields of algebra, properties of elementary functions, coordinate systems, vector algebra, matrices, complex numbers, differentiation and integration, differential equations and series.

2. Apply mathematical techniques in relevant areas of physics and engineering.

3. Demonstrate application of numerical and mathematical skills.

4. Demonstrate problem solving skills using mathematics.

#### Learning, Teaching and Assessment

This module is taught by weekly lectures supported by problem tutorial classes

A set of problem-solving exercises is provided for guided independent learning, which forms the basis of formative assessment and feedback in the tutorial classes.