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Pascal's triangle and the binomial expansionA binomial expression is the sum or difference of two terms. For example, x+1 and 3x+2y are both binomial expressions. If we want to raise a binomial expression to a power higher than 2 it is very cumbersome to do this by repeatedly multiplying x+1 or 3x+2y by itself. In this tutorial you will learn how Pascal's triangle can be used to obtain the required result quickly. (mathtutor video)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Pascal's triangle and the binomial theoremThis unit explains how Pascal's triangle is constructed and then used to expand binomial expressions.
It then introduces the binomial theorem.
Peer Support in Mathematics at the University of LeicesterPeer Support (PS) has been running in the Department of Mathematics and Computer Science at the University of Leicester for the past 9 years. In this scheme students from the second and third years (called leaders from now on) help first year students in their efforts to assimilate first year material. The help occurs in small timetabled groups containing up to 8 or 10 first years and 2 to 4 leaders. In its first year the scheme had 6 second year leaders and now we have typically between 15 and 20 second and third year leaders.The number of first year students taking part in the scheme has also grown from about 10% of students in the early years to around 50% of students making some use of the scheme at some stage in the year.
PercentagesThe use of percentages is common in many aspects of commercial life. Interest rates, discounts, pay rises and so on, are all expressed using percentages. This leaflet revises the meaning of the term 'percentage', and shows how to calculate percentages, and how to convert expressions involving percentages into alternative forms.
PercentagesIn this unit we shall look at the meaning of percentages and carry out
calculations involving percentages. We will also look at the use of the
percentage button on calculators.
PercentagesIn this unit we shall look at the meaning of percentages and carry out calculations involving percentages. We will also look at the use of the percentage button on calculators. (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.
PercentagesIn this unit we shall look at the meaning of percentages and carry out calculations involving percentages. We will also look at the use of the percentage button on calculators. (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.
Percentages - part 1This video segment introduces percentages.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Percentages - part 2This video segment develops the material in the previous unit on percentages.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Percentages - part 3This unit develops the previous unit on percentages.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Percentages - part 4This unit develops the previous unit on percentages.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Percentages Test 01 (DEWIS)Three questions involving percentages. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
Pharmacy calculation I: Solid triturationA leaflet explaining how solid
trituration calculations are performed for the dilution of drug powders. The resource is contributed to the mathcentre Community Project by Abigail Francis and reviewed by Bob Morris, Liverpool John Moores University
Pharmacy calculation I: Solid trituration (SOURCE)A zip file containing LaTeX source and eps files for Pharmacy calculations I: Solid trituration. Contributed to the mathcentre Community Project by Abigail Francis, Liverpool John Moores University.
Pharmacy calculations II: IsotonicityA leaflet showing how to calculate the freezing point depression of a solution. The resource is contributed to the mathcentre Community Project by Abigail Francis and reviewed by Bob Morris, Liverpool John Moores University
Pharmacy calculations II: Isotonicity (SOURCE)A zip file containing LaTeX source and eps files for Pharmacy calculations II: Isotonicity contributed to the mathcentre Community Project by Abigail Francis, Liverpool John Moores University.
Piloting an online mathematics and statistics tutoring servicePettigrew, J., & Shearman, (2014) D. Piloting an online mathematics and statistics tutoring service.
30th ascilite Conference 2013 Proceedings,
http://ascilite.org.au/conferences/sydney13/program/papers/Pettigrew.pdf.
In early 2013 the Mathematics Education Support Hub at the University of Western Sydney launched a tutoring service to support students’ mathematical and statistical learning in an online environment. Until the end of its pilot implementation in mid 2013, the service operated at all times as a moderated question and answer forum located within the University’s Learning Management System (a version of Blackboard Learn known as vUWS). It also featured a ‘virtual classroom’, which allowed students to interact with mathematics and statistics support staff in a web conferencing space equipped with a wide range of digital communication tools. This paper refers to the service as it was offered in discussing a range of general issues and questions associated with its pilot implementation. Particular attention is given to the issues of pedagogy in a purely online teaching and learning context and communicating asynchronously and synchronously using mathematical language and notation.
Polar co-ordinatesThe (x, y) co-ordinates of a point in the plane are called its Cartesian
co-ordinates. But there is another way to specify the position of a point, and
that is to use polar co-ordinates (r, theta). In this unit we explain how to
convert from Cartesian co-ordinates to polar co-ordinates, and back again.
Polar co-ordinatesThe (x, y) co-ordinates of a point in the plane are called its Cartesian
co-ordinates. But there is another way to specify the position of a point, and
that is to use polar co-ordinates (r, theta). In this unit we explain how to
convert from Cartesian co-ordinates to polar co-ordinates, and back again.
(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.
Polar co-ordinatesThe (x, y) co-ordinates of a point in the plane are called its Cartesian
co-ordinates. But there is another way to specify the position of a point, and
that is to use polar co-ordinates (r, theta). In this unit we explain how to
convert from Cartesian co-ordinates to polar co-ordinates, and back again.
(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.
Polar coordinatesThis leaflet explains plane polar coordinates. (Engineering Maths First Aid Kit 3.9)
Polar Form and De Moivre's Theorem - Numbas3 questions. Finding modulus and argument of complex numbers. Use De Moivre's Theorem to find powers of complex numbers. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Polar form and De Moivre's Theorem - Numbas3 questions. Finding modulus and argument of complex numbers. Use De Moivre's Theorem to find powers of complex numbers
Polynomial divisionPolynomial division is a process used to simplify certain sorts of algebraic fraction. It is very similar to long division of numbers. This booklet describes how the process is carried out.
Polynomial DivisionIn order to simplify certain sorts of algebraic fraction we need a process known as polynomial division. This unit describes this process.
(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.
Polynomial DivisionIn order to simplify certain sorts of algebraic fraction we need a process known as polynomial division. This unit describes this process.
(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.
