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An Algebra Refresher.
This booklet revises basic algebraic techniques.
This is a welsh language version.

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. (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.

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. (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.

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.

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.

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 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.

4 questions testing the precedence of operations applied to integers. In other words testing BIDMAS: Brackets, Indices, Division/Multiplication and Addition/Subtraction. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.

26 questions: Product Rule, Quotient Rule and Chain Rule.
For those that want a thorough testing of their basic differentiation using the standard rules.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.

16 questions: Product Rule, Quotient Rule and Chain Rule. For those that want a thorough testing of their basic differentiation using the standard rules. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.

16 questions: Inverse of differentiation, substitution, inverse trig functions, partial fractions and by parts. For those that want a thorough testing of their basic techniques in integration.
Numbas resources have been made available under a Creative Commons licence by the 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.

A 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 diagnostic testing.

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.

Diagnostic testing at Coventry University encompasses various disciplines. Co-ordinated by the Maths Support Centre, the test is used to assess the students' ability and target appropriate mathematics support as early as possible. This case study reviews the testing process and how it is linked to appropriate support material, advice and learning resources.

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.

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.