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: Binomial Distribution; Poisson Distribution; Normal Distribution

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

A 1-hour test (Test 1) weighted at 20% assessing Learning Outcome 1. Meeting AHEP 4 Outcome C1

A 1.5-hour test (Test 2) weighted at 40% assessing Learning Outcomes 2 and 4. Meeting AHEP 4 Outcome C1

A 1.5-hour examination weighted at 40% assessing Learning Outcomes 2, 3 and 5. Meeting AHEP 4 Outcome C1



Professional Body requirements mean that a minimum overall score of 40% is required to pass a module, with each element of assessment requiring a minimum mark of 30% unless otherwise stated.¿

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.

1) Apply mathematical methods to solve problems requiring the use of algebraic and trigonometric formulae. (AHEP 4: C1)

Knowledge and Understanding,

Application,

Problem Solving


2) Understand the concept of calculus and be able to differentiate and integrate standard functions. (AHEP 4: C1)

Knowledge and Understanding,

Application.

Problem Solving.


3) Demonstrate an understanding of matrices and use them to solve systems of linear equations. (AHEP 4: C1)

Knowledge and Understanding,

Application,

Problem Solving.


4) Demonstrate an understanding of the basic concepts of complex numbers. (AHEP 4: C1)

Knowledge and Understanding,

Application,

Problem Solving.


5) Calculate probabilities and use a variety of distributions (Binomial, Poisson, Normal) to model random phenomena. (AHEP 4: C1)

Knowledge and Understanding,

Application,

Analysis.

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.

Singh, K., (2011) Engineering Mathematics through Applications, 2nd Edition, Palgrave Macmillan.

Stroud, K.A. & Booth D.J. (2020) Engineering Mathematics, 8th Edition, Bloomsbury Academic

Blackboard VLE

Scientific Calculator

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