# Module – Foundation Mathematics 2

FHEQ Level: Level 3 (Foundation Year)
Credits: 20
Module Code: G100 00015
Course Reference Number (CRN): 52552
Delivery: January Start, Trimester 2 (Short Fat)

#### Syllabus Outline

• Vectors
• Complex numbers
• Differentiation
• Applications of Differentiation
• Integration
• Sequences and Series

#### Assessment

Coursework: Core maths skills 3, 50%
Coursework: Core maths skills 4, 50%
More detailed information may be found in the Assessments section.

#### Texts

​Helm workbooks

A-level Physics for AQA. Coordination Group Publications Ltd (CGP), 2020

Two Further Books on the Reading List:
(these are the same supplementary texts as Foundation Mathematics 1)

1. “Understanding Pure Mathematics”
A.J. Sadler and D. W. S. Thorning
Oxford University Press, 1995
Available at Clifford Whitworth Main : 510.76 SAD and more locations

2.  “Foundation Maths”
Anthony.Croft and Robert Davison
5th ed.Harlow, Pearson Education UK, 2010
Available at Clifford Whitworth Main : 510 CRO and more locations
Also available online through the Library

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

#### Description

​This module concentrates on the basic underlying mathematical skills required in science and engineering. You will develop the mathematical knowledge and the ability to develop the methodologies and modelling skills for real problems. The relationship between the various aspects of this module and their role to scientists and engineers in the workplace will be highlighted.

#### Aims

To become familiar with:

Vectors – their interpretation, manipulation, representation and use
Complex numbers – their manipulation, representation and use
Differentiation – interpretation and techniques
Applications of Differentiation – curves and their key properties
Integration – interpretation and techniques
Sequences and Series – constants, power, Maclaurin and Taylor

#### Knowledge & Understanding

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

1. Understand and use various methods and techniques in vectors and complex numbers.
2. Select and apply appropriate analytical methods to solve engineering problems.
3. Apply differentiation  to problem related to engineering and science.
4. Understand the application of integration in engineering and science.
5. Understand the use of series in the representation of functions in applied problems.

#### Learning, Teaching and Assessment

The module is delivered by lectures and tutorials.

Tutorial question solutions are provided with solutions. Additional support is provided with MathScope.

Formative tests in tutorial periods, which are applied throughout the module, will guide the next steps in instructions and help identify learning needs to ensure success.

Students could apply subjects from the Mathematics modules to directly solve problems from the Physics modules. This is to reflect the increasing focus of A-Level on cross-disciplinary problem solving.

Two Assignments are set – each is worth 50% of the module mark.  For a more detailed breakdown, please see the current Assessment Brief of the module.