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Just the Maths (A.J.Hobson)"Just the Maths" authored by the late Tony Hobson, former Senior
Lecturer in Mathematics of the School of Mathematical and
Information Sciences at Coventry University, is a collection of separate mathematics units, in chronological
topic-order, intended for foundation level and first year
degree level in higher education where mathematics is a service discipline e.g. engineering.
Transposition or Re-arranging FormulaeIt is often useful to rearrange, or transpose, a formula in order to write it in a different, but equivalent form. This unit explains the procedure for doing this.
(Mathtutor Video Tutorial)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Maths for Engineering and ScienceA comprehensive collection of case studies,
intended to assist you with the challenge of enhancing the basic
mathematical skills of engineering or science students. These case studies
focus particularly on embedding mathematics within the disciplines of engineering and science.
Transposition Formulae Test 01 (DEWIS)Three questions involving the transpoition of formulae. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
The trigonometrical ratiosThis leaflet defines sine, cosine and tangent of angles in a right-angled triangle and gives some standard ratios. (Engineering Maths First Aid Kit 4.2)
Quadratic equationsThis booklet explains how quadratic equations can be solved by factorisation, by completing the square, using a formula, and by
drawing graphs.
The laws of indicesThis leaflet reminds students of the laws used for manipulating indices. (Engineering Maths First Aid Kit 2.1)
The hyperbolic functionsThis leaflet gives definitions of the hyperbolic functions in terms of exponential functions.
Graphs of the hyperbolic sine, cosine and tangent are illustrated. (Engineering Maths First Aid Kit 3.5)
Using the inverse matrix to solve equationsThis leaflet explains how simultaneous linear equations can be solved by calculating the inverse of an appropriate matrix. (Engineering Maths First Aid Kit 5.6)
Trigonometrical identitiesThis leaflet lists a number of commonly used trigonometrical identities. (Engineering Maths First Aid Kit 4.4)
The hyperbolic identitiesThis leaflet lists common identities involving the hyperbolic functions. (Engineering Maths First Aid Kit 3.6)
The vector productThis leaflet defines the vector product of two vectors and gives some examples. It shows how the vector product can be evaluated using determinants. (Engineering Maths First Aid Kit 6.3)
Nursing Medication Calculation Formulae (SOURCE)A zip file containing the source files for the Fact & Formula leaflet Nursing Medication Calculation Formulaef' contributed to the mathcentre Community Project by Shazia Ahmed, University of Glasgow and reviewed by Aiping Xu, University of Coventry.
More Facts & Formulas - Onscreen versionAn electronic version of the More Facts & Formulas leaflet designed to be viewed on screen. A higher resolution print version is available in mathcentre.
Linearity rulesThis leaflet explains how to differentiate the sum of two functions, and constant multiples of functions, using 'linearity rules'. (Engineering Maths First Aid Kit 8.3)
Complex arithmeticThis leaflet explains how complex numbers can added, subtracted, multiplied and divided. (Engineering Maths First Aid Kit 7.2)
The form r(cos(t) + j sin(t))This leaflet explains how a complex number
can be written in the form
z=r(cos(t) + j sin(t)). (Engineering Maths First Aid Kit 7.5)
What is a complex number ?This leaflet gives a simple, brief introduction to the concept of a complex number. (Engineering Maths First Aid Kit 7.1)
The inverse of a matrixThis leaflet explains what is meant by the inverse of a matrix and how this can be calculated. (Engineering Maths First Aid Kit 5.5)
The modulus symbolThis leaflet explains the use of the modulus symbol in conjunction with inequalities. (Engineering Maths First Aid Kit 2.17)
Integration by partsThis leaflet explains integration by parts. This is a technique for integrating a product of two functions (two functions multiplied together). (Engineering Maths First Aid Kit 8.10)
Partial fractions 1This leaflet explains how to write an algebraic fraction as the sum of its partial fractions. (Engineering Maths First Aid Kit 2.23)
Solving equations involving logarithms and exponentialsThis leaflet shows how simple equations involving logarithms or exponentials can be solved. (Engineering Maths First Aid Kit 3.8)
Preparing students for university mathematics through a maths readiness workshopFirst year science students often lack confidence at the start of their course regarding their mathematical skills. A maths
readiness workshop has been designed at Monash University Gippsland campus to give students confidence in their
mathematical ability prior to the beginning of semester. It also helps students to identify very early if they should opt in to the
various maths support programs offered at the campus. The workshop has been designed in conjunction with first year coordinators
to specifically target mathematical content relevant to first year biology and chemistry including rearranging formulae,
logarithms and exponentials, and physical quantities and their units. Students self-select into the workshop based on a short
presentation during O-week activities. Results of student evaluations and reflections of the facilitators will be presented.
Barbie C. Panther, Samantha Black, Jo-ann Larkins (2013) Preparing students for university mathematics through a maths readiness workshop. Proceedings of the Australian Conference on Science and Mathematics Education, Australian National University, Sept 19th to Sept 21st, 2013, page 57, ISBN Number 978-0-9871834-2-2.
Quadratic Equations 1This unit is about the solution of quadratic equations. These take the form ax2+bx+c = 0. We will look at four methods: solution by factorisation, solution by completing the square, solution using a formula, and solution using graphs.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Factorising simple expressionsThis leaflet explains how to factorise simple expressions by looking for common factors. (Engineering Maths First Aid Kit 2.5)
