1. Understand and apply relevant mathematical techniques. (AHEP 4: F1)

2. Calculate probabilities and linear correlation statistics and interpret solutions. (AHEP 4: F1)

3. Understand the concept of calculus and be able to differentiate and integrate standard functions. (AHEP 4: F1)

4. Apply calculus to simple engineering problems. (AHEP 4: F1)

1. Test 1 weighted at 30% assessing Learning Outcomes 1
2. Assignment weighted 40% assessing Learning Outcomes 2
3. Test 2 weighted 30% assessing Learning Outcomes 1, 3 and 4

Link to AHEPs 4

This module links to AHEPs 4 in the following ways:

F1 – Apply knowledge of mathematics, statistics, natural science and engineering principles to broadly-defined problems.

Algebra: transposition of formulae, algebraic fractions, solution of equations
Trigonometry: solution of trigonometric equations; combining waveforms
Complex Numbers: basic operations; polar and exponential form; powers using DeMoivre’s Theorem
Introduction to matrices: basic operations; solving systems of linear equations
Introduction to probability: rules of probability; probability trees; conditional probability; Bayes Theorem
Probability distributions: discrete and continuous distributions, Binomial Distribution; Poisson Distribution; Normal Distribution
Correlation and Regression: Scatter diagrams; Correlation coefficient & Regression using Excel
Calculus: Standard differentiation results; Product, Quotient and Chain Rules; definite and indefinite integrals; Simple engineering applications of differentiation and integration
Partial Differentiation: Standard results; application to stationary points in 3-dimensions

This module will provide you with the mathematical concepts required to support your degree level learning, including Algebra, Trigonometry, Complex Numbers and Calculus.

You will be provided with material through a Virtual Learning Environment (for example, Blackboard). Material will be presented via a mixture of printable handouts, presentations and videos that will include both theory and worked examples. You will be required to keep up-to-date with the schedule and work through the tutorial questions to consolidate understanding. Support will be provided via a discussion group on Blackboard and contact with Module Tutors via email, telephone and/or video call (Blackboard Collaborate or Teams).

Online Texts:
Stroud, K.A. & Booth D.J. (2020) Engineering Mathematics, 8th Edition, Bloomsbury Academic.
Singh, K., (2011) Engineering Mathematics through Applications, 2nd Edition, Palgrave Macmillan.
Bird, J. (2021) Engineering Mathematics, 9th Edition, Routledge.
Bird, J. (2021) Higher Engineering Mathematics, 6th Edition, Milton.
James, G. (2020) Modern Engineering Mathematics, Pearson Education.

Blackboard
Scientific Calculator
Students will need to ensure that they have access to a computer and reliable internet connection.