# Module – Foundation Mathematics 1

FHEQ Level: Level 3 (Foundation Year)
Credits: 20
Module Code: G100 00014
Course Reference Number (CRN): 52551
Delivery: September Start, Trimester 1 (Short Fat)

#### Syllabus Outline

• Algebraic manipulation in scientific problems
• Transposition of formulae
• Co-ordinate systems: Cartesian and polar
• Logarithmic functions
• Laws of decay and growth and their application
• Graphical solution for experimental problems
• Introduction to calculus to solve problems in velocity and acceleration, also for maximum and minimum values of various shapes to calculate volumes and areas

#### Assessment

Coursework: Core maths skills 1, 50%
Coursework: Core maths skills 2, 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

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:

Algebraic manipulation in scientific problems and transposition of formulae
Co-ordinate systems: Cartesian and polar. Graphical solution for experimental problems
Logarithmic functions
Laws of decay and growth and their application
Introduction to calculus to solve problems in velocity and acceleration, also for maximum and minimum values of various shapes to calculate volumes and areas

#### Knowledge & Understanding

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

1. Understand and use various methods and techniques in algebra.
2. Select and apply appropriate analytical methods to solve engineering problems.
3. Transpose formulas related to engineering and science.
4. Understand the application of the laws of growth and decay in engineering and science.
5. Understand the advantages of calculus in determining areas and volumes.

#### Learning, Teaching and Assessment

The module is delivered by lectures and tutorials.

Tutorial question solutions are carried out with smaller groups of students and additional support is provided with MathScope plus full solutions to all tutorial questions are provided.

Formative tests, 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.

A portfolio of formative tests in combination with set exercises will lead to 2 pieces of summative coursework.