Mathematics for Engineers Overview Francis Hunt Francis.Hunt@southwales.ac.uk

The great book of Nature lies ever open before our eyes and the true philosophy is written in it ... But we cannot read it unless we have first learned the language and the characters in which it is written ... It is written in mathematical language Galileo Galilei (1564-1642)

QAA statement on degree level engineering education Engineering relies on three core elements, namely scientific principles, mathematics and 'realisation'. Scientific principles clearly underpin all engineering, while mathematics is the language used to communicate parameters, model and optimise solutions. Realisation encapsulates the whole range of creative abilities which distinguish the engineer from the scientist; to conceive, make and actually bring to fruition something which has never existed before. This creativity and innovation to develop economically viable and ethically sound sustainable solutions is an essential and distinguishing characteristic of engineering...

Two Big Differences between School and University Material comes much faster than at school don't be discouraged! you need to take time outside lectures to understand it you must work at the exercises - that is how you learn You are responsible for your own learning you need to take charge, and draw on friends, tutors, lecturer, notes, books, etc for help

You're the Boss

Great mathematicians get stuck

Great mathematicians make mistakes

Mathematical Learning recipes understanding "turn left, take second right..." knowing how things are placed relative to each other

Questions Yes Please!

Course Admin Details: 1 Term 1 Two Lectures: One Tutorial: one of Francis Hunt 11.00 am Monday G219 Francis Hunt 2.00 pm Monday G219 One Tutorial: one of Francis Hunt 3.00 pm Monday J325 Filippo Cavallari 3.00 pm Monday G507 Farzana Rahman 9.00 am Tuesday G308 You can email me Francis.Hunt@southwales.ac.uk or phone me 01443 (4)82267 Term 2 Two lectures, one computer lab to learn MATLAB

Course Admin Details: 2 Course handouts: Assessment: all the notes are in the course book the lectures are to help you understand the notes, and cover examples that are not in the notes. They also tell you what exercises to do. Assessment: 1 in-class paper test (25%), 1 in-class MATLAB test (25%) 1 two-hour exam in the summer (50%) You need a scientific calculator (a mobile phone is not sufficient, and is not allowed in the exam)

Goals You will need to set your own goals: if you have done A-level maths before, most (all) the material should be familiar and you should be aiming for complete understanding and 100% in the tests. Remember to "switch on" and put the work in on bits you're shaky on! E-mail me if you want extra material or recommended further reading. if the material is new to you, perhaps focus first on the core parts of each topic, and aim for a slightly lower percentage in the tests. Take action to sort out bits you don't understand. HARD WORK BEATS TALENT, IF TALENT DOESN’T WORK HARD

Contents Trigonometry Algebra Coordinate Geometry Complex Numbers Matrices and Determinants Differentiation Integration Statistics and Probability

You're the Boss