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The Chain RuleThis teach-yourself workbook explains the chain rule which is used to differentiate a function of a function.
The Chain RuleA special rule, the chain rule, exists for differentiating a function of another function. This unit illustrates this rule. (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.
Integration as a summationThe 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.
Economics Facts & Formulae - Onscreen versionAn electronic version of the Facts and Formulae leaflet for economics designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
Integration as a summationThe 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)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Economics Fact & Formulae - Large Print versionA large print version of the Economics Facts & Formulae Leaflet. This zip file contains separate pdf files for each of the 5 sides of the leaflet reformated to A4 so that they are more accessible for students with visual impairments.
Economics Facts & Formulae - Print versionThis is a high resolution electronic copy of the Economics Facts & Formulae Leaflet. It is designed to be printed on A4 as a double-sided folded leaflet. Print quality is printer dependant. An onscreen version is available in mathcentre.
Using partial derivatives to find stationary points - NumbasFinding the stationary points of functions of 2 variables. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Mathematical Tools for Physical Sciences and Systems BiologyThis leaflet is a summary of common mathematical definitions and properties used in the Physical Sciences and Systems Biology contributed to the mathcentre Community Project by Dr Morgiane Richard, University of Aberdeen and reviewed by Mamen Romano and Ian Stansfield, University of Aberdeen.
The chain ruleThe chain rule is used for differentiating a function of a function. This leaflet states and illustrates this rule. (Engineering Maths First Aid Kit 8.5)
Mathematical Tools for Physical Sciences and Systems Biology (SOURCE)A zip file containing the LaTex source files and metatdata for the leaflet - a summary of common mathematical definitions and properties used in the Physical Sciences and Systems Biology contributed to the mathcentre Community Project by Dr Morgiane Richard, University of Aberdeen and reviewed by Mamen Romano and Ian Stansfield, University of Aberdeen.
Diagnostic Test: Indefinite Integration - Numbas16 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.
Mathematics Support Materials from the University of Plymouth
Support material from the University of Plymouth:
The output from this project is a library of portable, interactive, web based support packages to help students learn various mathematical ideas and techniques and to support classroom teaching.
There are support materials on ALGEBRA, GRAPHS, CALCULUS, and much more.
This material is offered through the mathcentre site courtesy of Dr Martin Lavelle and Dr Robin Horan from the University of Plymouth.
The output from this project is a library of portable, interactive, web based support packages to help students learn various mathematical ideas and techniques and to support classroom teaching.
There are support materials on ALGEBRA, GRAPHS, CALCULUS, and much more.
This material is offered through the mathcentre site courtesy of Dr Martin Lavelle and Dr Robin Horan from the University of Plymouth.
Diagnostic Testing within Institutions - UMISTAll 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.
Teaching Mathematics to First Year Undergraduate Chemists in the Context of their DisciplineNew entrants to chemistry degree programmes are given a 24 hour course in mathematics if they do not have an A level qualification in the subject. This concentrates only on the skills necessary to successfully complete the first year physical chemistry course; these include simple statistics, functions, partial differentiation and integration. The course is taught using chemically relevant examples, in an order related to the chemistry course rather than traditional mathematics courses.
Ffeithiau a Fformiwlau EconomegThis is a Welsh language version of the Economics Facts & Formulae Leaflet. It is designed to be viewed onscreen or printed on A4 as a double-sided folded leaflet. Print quality is printer dependant. 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.
Maths EGComputer-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.
Maths EG Teacher InterfaceThe 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.
