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Rearranging formulas 2This leaflet explains how formulae can be rearranged. (Engineering Maths First Aid Kit 2.11)
Multiplication and divisionThis leaflet explains how to multiply and divide algebraic fractions. (Engineering Maths First Aid Kit 2.9)
Integration by substitutionSome integrals can be evaluated by making an appropriate substitution to change the variable. This leaflet explains how this can be done. (Engineering Maths First Aid Kit 8.11)
The laws of logarithmsThis leaflet explains and illustrates the laws governing the manipulation of logarithms. (Engineering Maths First Aid Kit 2.20)
Maths Support for StudentsA 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 mathematics support.
Quadratic equations 1This leaflet explains how to solve a quadratic equation by factorisation. (Engineering Maths First Aid Kit 2.14)
Addition and subtractionThis leaflet explains how to add or subtract algebraic fractions. (Engineering Maths First Aid Kit 2.8)
Engineering Maths First Aid Kit PackThe Engineering Maths First Aid Kit is a set of 75 photocopiable double-sided free-standing A4 sheets designed for use in mathematics support centres. The First Aid Kit has been made available on the mathcentre site with the kind permission of the publishers, Pearson Education Ltd. (www.pearsoneduc.com). The material presented here can be reproduced for student handouts but for no other purposes. The resources may be downloaded as a zip file. Select Save to download the zip file to your computer.
Teaching mathematics to first year engineering students with a wide range of mathematical abilityThe approach to teaching Maths to Year 1 students in the Department of Engineering underwent a major reorganisation prior to the start of the 2002/3 session. The aim was to provide an optimum framework within which students studying four different engineering disciplines could be taught Maths within the resource constraints imposed by student numbers, and to cope with the extremely wide range of their Mathematical abilities on entry to these degree programmes. After much discussion, students are now taught their Year 1 Maths topics in two different cohorts, streamed according to initial Maths ability, and using different approaches in terms of the depth of understanding expected. This also involves the use of different assessments. This approach has been much more popular and created far fewer difficulties than the previous system which divided the students into two groups according to degree programme.
Completing the squareThis leaflet illustrates the process of completing the square. (Engineering Maths First Aid Kit 2.26)
The exponential constant eThis leaflet gives some basic information about the constant e. It shows graphs of the exponential function. (Engineering Maths First Aid Kit 3.4)
The modulus of a numberThis leaflet explains what is meant by the modulus, or absolute value of a number. (Engineering Maths First Aid Kit 1.5)
Partial fractions 2This leaflet provides worked examples on finding partial fractions. (Engineering Maths First Aid Kit 2.24)
VectorsThis leaflet explains notations in common use for describing vectors, and shows how to calculate the modulus of vectors given in Cartesian form. (Engineering Maths First Aid Kit 6.1)
Measuring the effectiveness of a maths learning support centre - the DCU experienceThis research paper by DONAL DOWLING and BRIEN NOLAN, Dublin City University, reports upon efforts to measure the effectiveness of the Maths Learning Centre at Dublin City University. It provides a model of measuring effectiveness which compares the pass rates of "at risk" students who did or did not visit the mathematics support centre. The model shows that in each of the two years studied the centre made a direct contribution to the success of approximately 11 students. The paper was presented at the CETL MSOR Conference in September 2006.
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.
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.
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)
The inverse of a 2x2 matrixThis leaflet explains what is meant by the inverse of a 2x2 matrix and how this can be found using a formula. (Engineering Maths First Aid Kit 5.4)
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)
