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Trigonometric identitiesIn 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.
Trigonometric ratios of an angle of any size - an AnimationThis mathtutor animation shows how graphs of sin, cos and tan may be plotted as angles increase in positive and negative directions. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Trigonometrical identitiesThis leaflet lists a number of commonly used trigonometrical identities. (Engineering Maths First Aid Kit 4.4)
Tutoring in a Mathematics Support Centre - A Guide for Postgraduate Tutors (sigma)This sigma Guide is written for postgraduate students who are working in, or who want to work in, mathematics support centres. It distils the wisdom of seven people, who have many years of experience in mathematics education and in the work of support centres, into a practical resource for postgraduate students. In addition, it contains activities which can be used during training sessions to simulate working in a mathematics support centre. The guide is edited by Tony Croft and Michael Grove and authored by A.C.Croft, J.W.Gillard, M.J.Grove, J.Kyle, A.Owen, P.C.Samuels and R.H.Wilson.
Use of Mathcad to Assist in the Teaching of Second Year Engineering MathematicsMathcad is used in all years of the engineering mathematics course to enable students of civil engineering to investigate real engineering problems which have no analytical solution but which illustrate important mathematical concepts. In the second year engineering mathematics course Mathcad is used to assist in the teaching of numerical solutions of second order boundary value differential equations. Comparisons are made between classical analytical solutions and the numerical solutions.
Using a table of derivativesIn 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.
Using a table of derivativesIn 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)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Using Computer Based Tests to allow Multiple Attempts at AssessmentComputer 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.
Using partial derivatives to find stationary points - NumbasFinding 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.
Using Spreadsheets to Teach Quantum Theory to Students with Weak Calculus BackgroundsQuantum theory is a key part of the chemical and physical sciences. Traditionally, the teaching of quantum theory has relied heavily on the use of calculus to solve the Schr�¶dinger equation for a limited number of special cases. This approach is not suitable for students who are weak in mathematics, for example, many students who are majoring in biochemistry, biological sciences, etc. This case study describes an approach based on approximate numerical solutions and graphical descriptions of the Schr�¶dinger equation to develop a qualitative appreciation of quantum mechanics in an Australian University.
Using the Graphics Calculator to Support Mathematics for Engineering StudentsFor first and second year engineering students at Napier University, the TI-83 graphics calculator plays a major role in an integrated technological approach to mathematics. This case study reviews the process of integration and its current position in the teaching of students.
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)
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)
Vision for science and mathematics educationA report containing the Royal Society's Vision for science and mathematics education over the next 20 years. This includes a proposal for a broad and balanced curriculum, where young people study science and mathematics until 18 alongside arts, humanities and social sciences. The Royal Society Policy Centre report 01/14 issued June 2014 DES3090.
Volumes of solids of revolutionWe sometimes need to calculate the volume of a solid which can be obtained by
rotating a curve about the x-axis. There is a straightforward technique
which enables this to be done, using integration. (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.
Volumes of solids of revolutionWe sometimes need to calculate the volume of a solid which can be obtained by
rotating a curve about the x-axis. There is a straightforward technique
which enables this to be done, using integration. (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.
What is a complex numberThis video explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
What is a complex numberThis mobile phone video explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
What is a complex numberThis video explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
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)
What is a function?This introductory leaflet explains what is meant by a function, gives functional notation, and some simple examples. (Engineering Maths First Aid Kit 3.1)
