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IPOD VIDEO: In this unit we shall look at the meaning of decimals, and how they are related to fractions. We shall then look at rounding to given numbers of decimal places or significant figures. Finally we shall take a brief look at irrational numbers.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

IPOD VIDEO: In this unit we shall look at the meaning of decimals, and how they are related to fractions. We shall then look at rounding to given numbers of decimal places or significant figures. Finally we shall take a brief look at irrational numbers.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

IPOD VIDEO: In this unit we shall look at the meaning of decimals, and how they are related to fractions. We shall then look at rounding to given numbers of decimal places or significant figures. Finally we shall take a brief look at irrational numbers.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This leaflet explains how angles can be measured both in degrees and in radians.
It explains how to convert from degrees to radians and vice-versa. (Engineering Maths First Aid Kit 4.1)

This leaflet explains what is meant by a determinant and shows how it can be
evaluated. (Engineering Maths First Aid Kit 5.1)

Three questions on finding the determinant of a 2X2 and a 3X3 matrix and finding values of x such that the determinant of a 2X2 is zero. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.

Statistical Advisory Services are an innovative and valued approach to providing statistical advice centrally to final year undergraduate and postgraduate students. This paper reflects on the experiences of a new UK university in developing such a service through a HE STEM Practice Transfer Adopters partnership project. The Projectâ??s adopted strategies to partner with other university stakeholders are evaluated. In particular, partnerships with faculty- based staff and running staff development training courses are identified as effective development strategies.
Peter Samuels and Maggie Gibson (2013) Developing a statistical advisory service through effective
partnerships, HEA STEM, http://wwwnew1.
heacademy.ac.uk/assets/Documents/disciplines/stem/conf-proceedings-
2013/MSOR/full%20papers/msor_062.pdf

A series of short case studies have been collected, each focused on specific graduate skills, providing examples of ways in which these have been successfully developed through curricular initiatives. There is a wide variety of work reported, both in terms of the skills developed as well as the type of courses and institutions involved. This report was edited by Jeff Waldock. This report is not made available under a Creative Commons licence but is freely available to UK universities for non-commerical educational use.

A few years ago the department of mathematics at Edinburgh looked at the problem of interfacing between mathematics and engineering courses and came up with a system to enable greater student understanding. The implementation of this system and how it is helping students is reviewed in this case study.

A paper-based diagnostic test of mathematical skills, presented to Stage 1 undergraduates, revealed that entrants encounter difficulties with some of the basic mathematical concepts that are essential if students are to successfully complete a programme of study within the biosciences. Students reacted favourably towards a number of computer-based learning materials aimed at supporting development of their basic mathematical skills through self-directed learning. However, the availability of such resources made no significant difference to the studentsâ?? overall performance in a subsequent test. Some issues and applications are discussed.

Students arriving in many of the UMIST departments are required to take a brief maths test on arrival. Mathematics students who underachieve on this test are assigned some questions relevant to sections where they did poorly and also referred to sections from texts and Internet notes. The student�¢??s attempt at the assigned questions acts as a basis for a feedback session. Certain students in other departments (receiving mathematics as a service course) are asked to complete a computerised assignment on areas where they underachieved. Again, they are provided with references to texts and Internet notes.

12 calculus questions, differentiation and integration. Useful for self diagnosis. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.

Students on Engineering awards at UWE come from a range of academic backgrounds that include A2/AS-Level, B-TEC, Foundation year, overseas qualifications and mature students who in some cases are returning to education after an absence of over ten years. Ensuring that individuals from such a diverse population can develop the necessary mathematical skills and knowledge to cope with the demands of an Engineering award is clearly difficult. In this case study we describe the development of diagnostic testing at UWE and its role in a strategy for teaching mathematics to a large mixed ability group.

The Department of Mathematics, Physics and Electronics (School of Applied Sciences Anglia Polytechnic University, Cambridge) uses DIAGNOSYS to administer a computer-based diagnostic test, testing the mathematical knowledge of primarily foundation year students.

Brunel is well advanced in promoting good practice in the use of Computer Aided Assessment (CAA). The diagnostic tests are of CAA type, delivered on-screen with full animation at the testing level required (post-GCSE or post A-Level). 200 students are involved on programmes ranging from financial computing to mathematics.

All students are assessed using a paper-based, but optically marked, written test of 12 multi-choice questions (MCQs). The test covers algebraic simplification, approximation, logs, trigonometry and calculus. It is based on a test developed at Coventry University. It is used to assess students' strengths upon entry.

All students are assessed via 20 computer-based multi-choice questions (MCQs). These questions are selected at random from a large question bank, developed jointly by Nottingham and Keele Universities. The main objective is to provide a profile of each studentâ??s mathematical abilities. Each question tests a number of different skills simultaneously and hence contributes to an assessment of the different aspects of this profile. The profile becomes a diagnostic report, which then directs each student to a series of specific modules in â??Mathwiseâ?? that will reinforce their knowledge and correct any problems.

Two weeks are spent doing revision prior to three diagnostic tests. These are designed to assess studentsâ?? strengths and weaknesses after they have spent some time working in a mathematical context. The tests are all paper-based multi-choice questions (MCQs). They are hand-marked, but owing to the small number of students there is little time delay between assessment and distribution of the results.

All students are assessed using a paper-based written test of multi-choice questions (MCQs). The test has 15 questions of which the students must pass with 12 correct. Two hours were allowed. All of the questions were on routine arithmetic and algebra with emphasis on manipulative drill and practice, e.g. decomposition into powers of primes, long division, fractions, BODMAS, surds, elementary function definition, and inequalities. The test is quite demanding and was introduced last year 2001. It is repeated for those who fail six times during the course of the year in a programme called â??Essential Mathematicsâ??. Passing it is a mandatory requirement to proceed into the second year.

All students are assessed using a paper-based written test on their first day in the department. The students are allowed to use any non-graphical calculator to help answer 48 questions of the type and standard that they should be familiar with from A-Level. The questions range across simple arithmetic and algebra through logs to differentiation and integration, finishing with some questions on vectors. Final solutions are filled in on an answer grid. The temporary streaming of the students is based on the results.

All students are tested via two computer-based tests each consisting of 10 multi-choice questions (MCQs). These tests are set from a large bank of questions using the â??TALâ?? (Teach And Learn) computer system developed at the University of Bristol. The topics covered include arithmetic, algebra, geometry, functions, calculus, and probability. A â??leave unansweredâ?? option is provided and negative marking used to discourage guessing. The tests are accessed through a Web interface, so in principle could be accessed from anywhere. It has been run with large-scale simultaneous access and, although a little slow, is relatively robust.

School of Mechanical and Systems Engineering DIAGNOSYS has been used by the Department of Engineering Mathematics, now the School of Mechanical and Systems Engineering, since 1993. By 1996 there were five departments involved in using the software. Based on an interview with the administering lecturer and a student questionnaire this case study examines the procedure, results and student responses to the diagnostic testing process.

The mathematics department at the University of Strathclyde introduced in 2001 a paper-based diagnostic test to test the elementary mathematics skills of their first year mathematics students.

Four questions on second order linear constant coefficient differential equations. The first two involve identifying the complementary function, the third involves applying initial conditions and the fourth involves finding a particular solution with either linear or sinusoidal forcing. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.

In this unit we show how to differentiate the sine and cosine functions
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.