An essential skill in many applications is the ability to factorise quadratic expressions. In this unit you will see that this can be thought of as reversing the process used to �¢??remove�¢?? or 'multiply-out�¢?? brackets from an expression. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

An essential skill in many applications is the ability to factorise quadratic expressions. In this unit you will see that this can be thought of as reversing the process used to �¢??remove�¢?? or 'multiply-out�¢?? brackets from an expression. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

An essential skill in many applications is the ability to factorise quadratic expressions. In this unit you will see that this can be thought of as reversing the process used to �¢??remove�¢?? or 'multiply-out�¢?? brackets from an expression. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

The extention video from mathtutor explains the Fibonacci sequence and shows where it appears in music. 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 article presents a novel approach to maths support designed and adopted by the University of Lincoln, School of Engineering, to bridge this transition gap for students, offer continued support through Assessment for Learning and Individual Learning Plans, and ultimately increase student achievement, engagement and retention. The article then extends this proven approach and discusses recently implemented enhancements through the use of online diagnostic testing and a ‘student expert’ system to harness mathematical knowledge held by those gifted and talented students (often overlooked by higher education institutions) and to promote peer-to-peer mentoring. The article shows that with the proven system in place, there is a marked increase in student retention compared with national benchmark data, and an increase in student engagement and achievement measured through student feedback and assessments. M. Gallimore and J. Stewart, (2014) Increasing the impact of mathematics support on aiding student transition in higher education., Teaching Mathematics Applications, 33 (2), 98-109, doi:10.1093/teamat/hru008

The second major component of the Calculus is called integration. This may be introduced as a means of finding areas using summation and limits. We shall adopt this approach in the present Unit. In later units, we shall also see how integration may be related to differentiation. (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.

An integral is defined as an infinite sum. This leaflet explains how this is done. This notion is important when we want to apply integration in many fields. (Engineering Maths First Aid Kit 8.12)

There are occasions when it is possible to perform an apparently difficult piece of integration by first making a substitution. This has the effect of changing the variable and the integrand. When dealing with definite integrals, the limits of integration can also change. In this unit we will meet several examples of integrals where it is appropriate to make a substitution. (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.

An innovative and sustainable online bank of starting points for problem- solving, presented in an interactive, visual and engaging way that will nurture mathematical thinking, logical processes and modelling. The starting points will permit a range of teaching approaches - individual, small group and whole class. They will be fully functional on a range of digital technologies including handhelds. These resources were created by the project Problem Solving in Undergraduate Mathematics (PSUM) and are available via Nrich. This website is not made available under a Creative Commons licence but is freely available to UK universities for non-commerical educational use.

The Mathematics Learning Support Centre (MLSC) in the Dublin Institute of Technology (DIT) provides free mathematical support to all DIT students. This support is primarily delivered through a drop-in service, where students can receive one-to-one tuition, without an appointment, in any area of mathematics. In the first semester of the 2013/14 academic year a significant proportion (approximately 42%) of students that availed of this drop-in service were mature students enrolled in Engineering programmes. This is of particular interest as mature students constitute a relatively small proportion of the total student body, motivating a deeper study of the reasons for the high levels of engagement in this cohort. To this end two focus groups were conducted, involving both those who did and did not attend the MLSC. Particular interest was paid to the motivations for attendance/reasons for non-attendance. The motivations of mature students were found to be multifaceted while the reasons for non-engagement given were mostly in line with the literature. In addition some quantitative analysis was carried to determine what effect the MLSC had on studentâ??s academic performance. Cormac Breen, Michael Carr and Mark Prendergast (2014) Investigating the Engagement of Mature Students with Mathematics Learning Support. Proceedings of the 17th Mathematics Working Group Seminar, Dublin 2014, http://sefi.htwaalen. de/Seminars/Dublin2014/17th%20SEFIMWG%20Seminar/Tuesday%20Session%201/MWG2014_Breen.pdf

Logarithms appear in all sorts of calculations in engineering and science, business and economics. Before the days of calculators they were used to assist in the process of multiplication by replacing the operation of multiplication by addition. Similarly, they enabled the operation of division to be replaced by subtraction. They remain important in other ways, one of which is that they provide the underlying theory of the logarithm function. This has applications in many fields, for example, the decibel scale in acoustics. (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.

Logarithms appear in all sorts of calculations in engineering and science, business and economics. Before the days of calculators they were used to assist in the process of multiplication by replacing the operation of multiplication by addition. Similarly, they enabled the operation of division to be replaced by subtraction. They remain important in other ways, one of which is that they provide the underlying theory of the logarithm function. This has applications in many fields, for example, the decibel scale in acoustics. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.