The mathematics that is delivered in this unit is that which is directly applicable to the engineering industry, and it will help to increase students’ knowledge of the broad underlying principles within this discipline.

The aim of this unit is to develop students’ skills in the mathematical principles and theories that underpin the engineering curriculum. Students will be introduced to mathematical methods and statistical techniques in order to analyse and solve problems within an engineering context

On successful completion of this unit students will be able to employ mathematical methods within a variety of contextualised examples, interpret data using statistical techniques, and use analytical and computational methods to evaluate and solve engineering problems.

Mathematical concepts:
Dimensional analysis
Arithmetic and geometric progressions

Functions:
Exponential, logarithmic, trigonometric and hyperbolic functions

Summary of data:
Mean and standard deviation of grouped data
Pearson’s correlation coefficient
Linear regression
Charts, graphs and tables to present data

Probability theory:
Binomial and normal distribution
Sinusoidal waves
Sine waves and their applications
Trigonometric and hyperbolic identities

Vector functions:
Vector notation and properties
Representing quantities in vector form
Vectors in three dimensions

Differential calculus:
Definitions and concepts
Definition of a function and of a derivative, graphical representation of a function, notation of derivatives, limits and continuity, derivatives; rates of change, increasing and decreasing functions and turning points
Differentiation of functions

Differentiation of functions including:
Standard functions/results
Using the chain, product and quotient rules
Second order and higher derivatives
Types of function: polynomial, logarithmic, exponential and trigonometric (sine, cosine and tangent), inverse trigonometric and hyperbolic functions

Integral calculus:
Definite and indefinite integration
Integrating to determine area

Integration of functions including:
Common/standard functions
Using substitution by parts
Exponential growth and decay
Types of function: algebraic including partial fractions and trigonometric (sine, cosine and tangent) functions

Engineering problems involving calculus:
Including: stress and strain, torsion, motion, dynamic systems, oscillating systems, force systems, heat energy and thermodynamic systems, fluid flow, AC theory, electrical signals, information systems, transmission systems, electrical machines, electronics

A problem-based assignment of 1500 words assessing learning outcomes 1 and 2, weighted 50%

An exam of 1 hour assessing learning outcomes 3 and 4, weighted 50%

Whole group lectures will be used to deliver new material and to consolidate previous material. Small-group tutorials, with activities designed to enhance the understanding of the material delivered in the lectures, will be used to apply the skills and knowledge learned. A mixture of classroom based and practical activities will take place supported by staff

Identify the relevance of mathematical methods to a variety of conceptualised engineering examples.

Investigate applications of statistical techniques to interpret, organise and present data.

Use analytical and computational methods for solving problems by relating sinusoidal wave and vector functions to their respective engineering applications.

Examine how differential and integral calculus can be used to solve engineering problems.

PC with standard software such as Microsoft Excel

SINGH, K. (2011) Engineering Mathematics Through Applications. 2nd Ed. Basingstoke: Palgrave Macmillan.
STROUD, K.A. and BOOTH, D.J. (2013) Engineering Mathematics. 7th Ed. Basingstoke: Palgrave Macmillan.

http://www.mathcentre.ac.uk/ Maths Centre (Tutorials)
http://www.mathtutor.ac.uk/ Maths Tutor (Tutorials)

Must be registered on HNC/D Mechanical Engineering or Electrical and Electronic Engineering provision at South Staffordshire College.

The mathematics that is delivered in this unit is that which is directly applicable to the engineering industry, and it will help to increase your knowledge of the broad underlying principles within this discipline

The aim of this unit is to develop your skills in the mathematical principles and theories that underpin the engineering curriculum. You will be introduced to mathematical methods and statistical techniques in order to analyse and solve problems within an engineering context

On successful completion of this unit you will be able to employ mathematical methods within a variety of contextualised examples, interpret data using statistical techniques, and use analytical and computational methods to evaluate and solve engineering problems.