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Resource type Process Systems Engineering - A Course in Computing and Numerical Methods for Second Year Chemical Engineers
We describe a course aimed at providing chemical engineering students with an understanding of the fundamental classes of equations which occur in chemical engineering, the mathematical basis of their numerical solution methods and the basic methods of implementing these in a high level computing language. The course thus integrates elements of both conceptual and practical mathematics and computing.
Resource type Conic sections
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. (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.
Resource type Conic Sections Part 1
IPOD VIDEO: In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Conic Sections Part 2
IPOD VIDEO: In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Conic Sections Part 3
IPOD VIDEO: In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Conic Sections Part 4
IPOD VIDEO: In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Conic Sections Part 5
IPOD VIDEO: In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Resource type Conic sections
In this unit we study the conic sections. These are the curves obtained when a cone is cut by a plane. We find the equations of one of these curves, the parabola, by using an alternative description in terms of points whose distances from a fixed point and a fixed line are equal. We also find the equation of a tangent to a parabola using techniques from calculus, and we use this to prove the reflective property of the parabola. (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.
Resource type Use of Mathcad to Assist in the Teaching of Second Year Engineering Mathematics
Mathcad 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.
Resource type Maths EG
Computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University.
Resource type Maths EG Teacher Interface
The teacher interface for Maths EG which may be used for computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University. Teachers need to register (top right of screen) and thereafter login to use the system, after which they may use it to compose their own tests by selecting (specifically or randomly) questions from the entire database of questions. Instructions are available from the title page.
Resource type a cos x +b sin x = Rcos(x-a)
In this unit we explore how the sum of two trigonometric functions can be expressed as a single trigonometric function.
Resource type Calculus Refresher
A refresher booklet on Calculus (differentiation and integration)
Resource type Cosecant, Secant and Cotangent
This unit explains what is meant by these three trigonometric ratios. Graphs of the corresponding functions are provided.
Resource type Cwrs Gloywi Calcwlws
A Calculus Refresher. This booklet revises techniques in calculus (differentiation and integration). This is a welsh language version
Resource type Diagnostic Testing within Institutions - Cardiff University
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.
Resource type Facts & Formulae - Large Print version
A large print version of the Facts & Formulae Leaflet. This zip file contains separate pdf files for each of the 11 sides of the leaflet reformated to A4 so that they are more accessible for students with visual impairments.
Resource type Facts & Formulae - Onscreen version
An electronic version of the mathematics Facts & Formulae leaflet designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Resource type Facts & Formulae - Print version
This is a high resolution electronic copy of the Facts & Formulae Leaflet. It is designed to be printed on A3 as a double-sided folded leaflet. Print quality is printer dependant. An onscreen version is available in mathcentre.
Resource type Ffeithiau a Fformwlâu - Fersiwn argraffu
This is a Welsh language version of the Facts & Formulae Leaflet. It is designed to be printed on A3 as a double-sided folded leaflet. Print quality is printer dependant. An onscreen version is available in mathcentre. The leaflets were translated by Dr Tudur Davies, a Coleg Cymraeg Cenedlaethol Lecturer of Mathematics, at the Institute of Mathematics, Physics & Computer Science, Aberystwyth University. Funding from the Coleg Cymraeg Cenedlaethol is gratefully acknowledged.
Resource type Ffeithiau a Fformwlâu - Fersiwn arlein
An electronic Welsh language version of the mathematics Facts & Formulae leaflet designed to be viewed onscreen. A higher resolution print version is available in mathcentre. The leaflets were translated by Dr Tudur Davies, a Coleg Cymraeg Cenedlaethol Lecturer of Mathematics, at the Institute of Mathematics, Physics & Computer Science, Aberystwyth University. Funding from the Coleg Cymraeg Cenedlaethol is gratefully acknowledged.
Resource type Graphs of the trigonometric functions
This leaflet gives graphs of the functions sine, cosine and tangent and notes some important properties. (Engineering Maths First Aid Kit 4.3)
Resource type Hyperbolic functions
The hyperbolic functions have similar names to the trigonmetric functions, but they are defined in terms of the exponential function. In this unit we define the three main hyperbolic functions, and sketch their graphs. We also discuss some identities relating these functions, and mention their inverse functions and reciprocal functions.
Resource type Hyperbolic functions
The hyperbolic functions have similar names to the trigonmetric functions, but they are defined in terms of the exponential function. In this unit we define the three main hyperbolic functions, and sketch their graphs. We also discuss some identities relating these functions, and mention their inverse functions and reciprocal functions. (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.
Resource type Hyperbolic functions
The hyperbolic functions have similar names to the trigonmetric functions, but they are defined in terms of the exponential function. In this unit we define the three main hyperbolic functions, and sketch their graphs. We also discuss some identities relating these functions, and mention their inverse functions and reciprocal functions. (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.
Resource type Hyperbolic functions - David Saunders
This mathtutor extention video explains the derivation of hyperbolic functions starting from two-dimensional space. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.