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

**Credits:** 20

**Module Code:** F300 —–

**Course Reference Number (CRN):** 31140

**Delivery:** January Start, Trimester 2 (Short Fat)

#### Syllabus Outline

**Mathematics**:

– Further Integration

– Ordinary Differential Equations: First Order Equations; Second Order Equations;

Applications to Simple Physical Systems

– Series: Notions of Convergence; Taylor and Maclaurin Series Expansions; Power Series; Fourier Series

**Computing**:

– Introduction to Python programming

– Applications in Algebra, Equations, Calculus and ODE’s

– Application in Series and Fourier Series

#### Assessment

Coursework: Assignment 1 – Mathematics, 50%

Coursework: Assignment 2 – Computing, 50%

#### Texts

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

Understanding Pure Mathematics – A.J. Thorning, D.W.S., Oxford, Oxford University Press, 1987

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

#### Description

You will learn core mathematics and computing techniques essential to physics and engineering. Topics include: ordinary differential equations, series (of constants, power and Fourier), simulation, and programming. The module is taught through a combination of lectures, problem tutorial, and computer classes.

#### Aims

1. To develop a knowledge and understanding in the area of mathematics including the origin and limitations of the associated principles.

2. To develop analytical and numerical problem solving skills in the area of mathematics.

3. To develop computing skills in the areas of symbolic computing and programing.

#### Knowledge & Understanding

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

(1) Demonstrate an understanding of the principles and their origins in the area of mathematics.

(2) Demonstrate competence in the specification of problems using the principles of mathematics and their analytical, computational and numerical solution.

On completion the student will have had the opportunity to:

(3) Demonstrate problem solving skills.

(4) Demonstrate key analytical and numerical skills.

(5) Demonstrate key computing skills.

#### Learning, Teaching and Assessment

The module is taught through a combination of lectures, tutorial classes and computing laboratory. The assessments are a combination of class test and computing assignments.

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.

Verbal feedback is given in the computing laboratory for both formative and summative assessment.