Vectors
Mathcentre provide these resources which cover aspects of vectors and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include an introduction to vectors, calculating the vector and scalar products and the cartesian…
Trigonometry
Mathcentre provide these resources which cover aspects of trigonometry and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include the trigonometric ratios, using Pythagoras’ theorem, cosecant, secant and…
Sequences and Series
Mathcentre provide these resources which cover aspects of sequences and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include sigma notation, limits of sequences and the sum of an infinite series. Comprehensive…
Integration
Mathcentre provide these resources which cover aspects of integration and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include integration as the reverse of differentiation, integration by parts, integration…
Geometry
Mathcentre provide these resources which cover aspects of geometry and are suitable for students studying mathematics at A Level, those for whom mathematics is an integral part of their course and some apply to GCSE Higher Level students. The topics covered include the geometry of a circle, polar coordinates, the gradient and intercept…
Functions and Graphs
Mathcentre provide these resources which cover aspects of functions and graphs and are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include an introduction to functions, the hyperbolic, trigonometric and polynomial…
Differentiation
Mathcentre provide these resources which cover aspects of differentiation which are suitable for students studying mathematics at A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include, differentiation from first principles, a table of common functions and their…
Arithmetic
Mathcentre provide these resources which cover aspects of arithmetic, many of which are suitable for students studying mathematics at Higher Level GCSE, or A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include, decimals, fractions, percentages, surds and ratios. Comprehensive…
Algebra
Mathcentre provide these resources which cover a wide range of algebraic topics, many of which are suitable for students studying mathematics at Higher Level GCSE, or A Level, as well as those students for whom mathematics is an integral part of their course. Some of the topics covered include completing the square, factorising quadratics,…
Geometry
Mathcentre provide this resource which covers the slope intercept form, an aspect of geometry that involves the gradient and vertical intercept of a graph, which can be established from the terms of a linear equation. Comprehensive notes, with clear descriptions are provided, together with relevant diagrams and examples. Students…
Functions and Graphs
Mathcentre provide these resources which cover aspects of functions and graphs. They include explanations of linear functions, the exponential constant, the graph of a function and linear relationships. Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant diagrams and examples. Students…
Differentiation
Mathcentre provide these resources which cover aspects of differentiation. They include an introduction to differentiation, a technique used to calculate the gradient or slope of a graph at different points, a table of common functions and their derivatives, as well as linearity rules which, when used with a table of derivatives,…
Arithmetic
Mathcentre provide these resources which cover aspects of arithmetic. They include fractions and their associated arithmetic, geometric progressions, percentages, ratios and powers and roots. Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant diagrams and examples. Students wishing…
Vectors
Mathcentre provide these resources which cover aspects of vectors, often used in the field of engineering. They include descriptions of the notation often used to describe vectors and how to calculate the modulus of vector given in cartesian form, as well as how to calculate scaler and vector products. Comprehensive notes, with…
Trigonometry
Mathcentre provide these resources which cover aspects of trigonometry, often used in the field of engineering. They include the trigonometric ratios, using Pythagoras’ theorem and working with the sine and cosine rules. Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant…
Matrices
Mathcentre provide these resources which cover aspects of matrices, often used in the field of engineering. They include determinants, multiplying matrices, the inverse of a matrix and Cramer’s rule, which uses determinants to solve simultaneous equations. Comprehensive notes, with clear descriptions, for each resource are…
Integration
Mathcentre provide these resources which cover aspects of integration, often used in the field of engineering. They include linearity rules of integration, integration by parts, integration by substitution and integration as the reverse of differentiation. Comprehensive notes, with clear descriptions, for each resource are provided,…
Geometry
Mathcentre provide these resources which cover aspects of geometry often used in the field of engineering. They include the gradient and intercept of straight line graphs, polar coordinates and converting degrees and radians. Comprehensive notes, with clear descriptions, for each resource are provided, together with relevant diagrams…
Functions and Graphs
Mathcentre provide these resources which cover aspects of functions and graphs often used in the field of engineering. They include descriptions of the hyperbolic function and identities, the logarithm function and its graph as well as the graphs of the trigonometric functions. Comprehensive notes, with clear descriptions, for…
Differentiation
Mathcentre provide these resources which cover aspects of differentiation, often used in the field of engineering. They include an introduction to differentiation and its uses, a table of common functions and their derivatives, as well as the rules used to enable the differentiation of a wide range of functions. Comprehensive…
Complex Numbers
Mathcentre provide these resources which cover aspects of complex numbers, often used in the field of engineering. They include the definition of a complex number and their associated arithmetic, the Argand diagram and polar form of a complex number, as well as the exponential form. Comprehensive notes, with clear descriptions,…
Arithmetic
Mathcentre provide these resources which cover aspects of arithmetic, often used in the field of engineering. They include fractions and their associated arithmetic, calculations involving surds, using standard form, as well as understanding and drawing the graph of a function. Comprehensive notes, with clear descriptions, for…
Algebra
Mathcentre provide these resources which cover a wide range of algebraic topics. They include solving linear equations, quadratic equations, rearranging formulas, the laws of indices, expanding brackets, inequalities and solving simultaneous equations. Comprehensive notes, with clear descriptions, for each resource are provided,…
Algebra
Mathcentre provide these resources which cover a wide range of algebraic topics, many of which are used in the field of engineering. They include, solving linear equations, quadratic equations, partial fractions, rearranging formulas, factorials and the laws of indices. Comprehensive notes, with clear descriptions, for each resource…
Basic Differentiation Refresher
Mathcentre provide this refresher resource for basic differentiation, which has been designed to enable students to prepare for their university mathematics programme. There is a comprehensive review including differentiation of a general power multiplied by a constant, simple fractions and general brackets. Although it has been…
Numeracy Refresher
Mathcentre provide this numeracy refresher resource, which was developed and trialled by staff of the University of Birmingham Careers Centre and subsequently used widely throughout the HE Sector. There are sections which review decimals, fractions, averages, percentages and ratios, making it a useful resource for Key Stage Three…
Calculus Refresher
Mathcentre provide this calculus refresher resource which has been designed to enable students to prepare for their university mathematics programme. There is a comprehensive review of derivatives, the product, quotient and chain rules, differentiation of functions, integration by parts and substitution, as well as partial fractions. Although…
Algebra Refresher
Mathcentre provide this algebra refresher resource which has been designed to enable students to prepare for their university mathematics programme. There is a comprehensive review of algebraic manipulation including, removing brackets, surds, solving linear equations, transposition of formulae, quadratic equations and completing…