In this unit we consider trigonometric identities and how to use them to solve trigonometric equations. (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.

This leaflet lists a number of commonly used trigonometrical identities. (Engineering Maths First Aid Kit 4.4)

Five questions on trigonometry. The first involves determining the quadrant an angle lies in, the remaining questions involve solving trigonometric equations. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.

This leaflet explains the various types of force which are commonly found when studying the motion of physical bodies.

This leaflet summarises the SI system of units and commonly used prefixes.

Ni fhloinn, E., Bhaird, C. M., & Nolan, B. (2014). University students' perspectives on diagnostic testing in mathematics. International Journal of Mathematical Education in Science and Technology, 45 (1), 58-74. DOI:10.1080/0020739X.2013.790508 Many universities issue mathematical diagnostic tests to incoming first-year students, covering a range of the basic concepts with which they should be comfortable from secondary school. As far as many lecturers are concerned, the purpose of this test is to determine the students' mathematical knowledge on entry. It should also provide an early indication of which students are likely to need additional help, and hopefully encourage such students to avail of extra support mechanisms at an early stage. However, it is not clear that students recognize these intentions and there is a fear that students who score poorly in the test will have their confidence further damaged in relation to mathematics and will be reluctant to seek help. To this end, a questionnaire was developed to explore studentsâ?? perspectives on diagnostic testing. Analysis of responses received to the questionnaire provided an interesting insight into studentsâ?? perspectives including the optimum time to conduct such a test, their views on the aims of diagnostic testing, whether they feel that testing is a good idea, and their attitudes to the support systems put in place to help those who scored poorly in the test.

In this unit we construct a Table of Derivatives of commonly occurring functions. This is done using the knowledge gained in previous units on differentiation from first principles. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Computer based assessment has been used at UWE for a number of years on certain modules run by the School of Mathematical Sciences. In this case study we discuss the operation of the assessment for a first year engineering mathematics module in which students are permitted multiple attempts and are allowed, within an specified period of time, to choose when they take the assessment. Feedback from students has been highly positive about the assessment regime and our observation is that operating the tests in this way does encourage students to work steadily throughout the year.

Finding the stationary points of functions of 2 variables. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.

This case study reports on the approach at one institution to helping first year engineering students to acquire the mathematical skills they need. The approach involves a range of support mechanisms, and the concerted use of technology as well as paper and pencil methods. Changes in curriculum, pedagogy and indeed assessment style have all proven necessary.

This leaflet explains how simultaneous linear equations can be solved by calculating the inverse of an appropriate matrix. (Engineering Maths First Aid Kit 5.6)

This 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)

One of the ways in which two vectors can be combined is known as the scalar product. When we calculate the scalar product of two vectors the result, as the name suggests is a scalar, rather than a vector. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.