Search results with tag "Mathcentre"
Cubic equations - mathcentre.ac.uk
www.mathcentre.ac.ukCubic equations A cubic equation has the form ax3 +bx2 +cx+d = 0 where a 6= 0 All cubic equations have either one real root, or three real roots. In this unit we explore why this is so. ... c mathcentre March 26, 2009 www.mathcentre.ac.uk 2 mc-TY-cubicequations-2009-1. Example
Cubic equations - mathcentre.ac.uk
www.mathcentre.ac.ukUsing graphs to solve cubic equations 10 www.mathcentre.ac.uk 1 c mathcentre 2009. 1. Introduction In this unit we explain what is meant by a cubic equation and how such an equation can be solved. The general strategy for solving a cubic equation is to reduce it to a quadratic equation,
Logarithms - mathcentre.ac.uk
www.mathcentre.ac.ukLogarithms mc-TY-logarithms-2009-1 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
Percentages - mathcentre.ac.uk
www.mathcentre.ac.ukPercentages mc-TY-percent-2009-1 In 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.
Transposition of formulae - mathcentre.ac.uk
www.mathcentre.ac.ukTransposition of formulae mc-TY-transposition-2009-1 In mathematics, engineering and science, formulae are used to relate physical quantities to each
Simultaneous linear equations - mathcentre.ac.uk
www.mathcentre.ac.ukSimultaneous linear equations mc-simultaneous-2009-1 The purpose of this section is to look at the solution of simultaneous linear equations. We will
The double angle formulae - mathcentre.ac.uk
www.mathcentre.ac.ukThe double angle formulae mc-TY-doubleangle-2009-1 This unit looks at trigonometric formulae known as the doubleangleformulae. They are called this because they involve trigonometric functions of …
Trigonometric equations - mathcentre.ac.uk
www.mathcentre.ac.uk1. Introduction This unit looks at the solution of trigonometric equations. In order to solve these equations we shall make extensive use of the graphs of the functions sine, cosine and tangent.
Hyperbolic functions - mathcentre.ac.uk
www.mathcentre.ac.ukHyperbolic functions The hyperbolic functions have similar names to the trigonmetric functions, but they are defined in terms of the exponential function.
Simultaneous linear equations - mathcentre.ac.uk
www.mathcentre.ac.uk1. Introduction Thepurposeofthissectionistolookatthesolutionofelementarysimultaneouslinearequations. …
3.6 The hyperbolic identities - mathcentre.ac.uk
www.mathcentre.ac.uk3.6 The hyperbolic identities Introduction The hyperbolic functions satisfy a number of identities. These allow expressions involving the hyperbolic functions to …
Fractions — basic ideas - mathcentre.ac.uk
www.mathcentre.ac.ukFractions — basic ideas mc-TY-fracbasic-2009-1 In this unit we shall look at the basic concept of fractions — what they are, what they look like,
Trigonometric functions - mathcentre.ac.uk
www.mathcentre.ac.ukTrigonometric functions mc-TY-trig-2009-1 The sine, cosine and tangent of an angle are all defined in terms of trigonometry, but they can also be expressed as functions.
Factorising quadratics - www.mathcentre.ac.uk or http ...
www.mathcentre.ac.uk1. Introduction Inthisunityouwilllearnhowmanyquadraticexpressionscanbefactorised.Essentially,this isthereverseprocessofremovingbracketsfromexpressionssuchas(x+2)(x+3).2.
Integration by parts - mathcentre.ac.uk
www.mathcentre.ac.ukIntegration by parts mc-TY-parts-2009-1 A special rule, integrationbyparts, is available for integrating products of two functions. This unit derives and illustrates this rule with a number of examples.
Polynomial division - University of Sheffield
www.mash.dept.shef.ac.ukPolynomial division 3 1 c mathcentre August 7, 2003. 1. Introduction In order to simplify certain sorts of algebraic fraction we need a process known as polynomial division. This unit describes how this process is carried out. 2. Long Division of numbers
Finding areas by integration - mathcentre.ac.uk
www.mathcentre.ac.ukFinding areas by integration mc-TY-areas-2009-1 Integration can be used to calculate areas. In simple cases, the area is given by a single definite
Surds, and other roots - mathcentre.ac.uk
www.mathcentre.ac.ukSurds, and other roots mc-TY-surds-2009-1 Roots and powers are closely related, but only some roots can be written as whole numbers. Surds are roots which cannot be written in this way.
Triangle formulae - www.mathcentre.ac.uk or …
www.mathcentre.ac.ukTriangle formulae mc-TY-triangleformulae-2009-1 A common mathematical problem is to find the angles or lengths of the sides of a triangle when
The geometry of a circle - mathcentre.ac.uk
www.mathcentre.ac.ukThe geometry of a circle mc-TY-circles-2009-1 In this unit we find the equation of a circle, when we are told its centre and its radius. There are
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Cubic equations - mathcentre, Cubic equations, Cubic equation, Mathcentre, Cubic, Logarithms, Percentages, Transposition of formulae - mathcentre.ac.uk, Transposition of formulae, Transposition, Formulae, Simultaneous linear equations - mathcentre, Simultaneous linear equations, Simultaneous, The double angle formulae, Trigonometric, The doubleangleformulae, Trigonometric equations, Hyperbolic functions, Functions, 3.6 The hyperbolic identities, Fractions — basic ideas, Trigonometric functions, Factorising quadratics, Integration by parts - mathcentre.ac.uk, Integration by parts, Parts, Integrationbyparts, Polynomial division, Finding areas by integration, Integration, Surds, and other roots - mathcentre.ac.uk, Surds, and other roots, Surds, Roots, Triangle formulae, Triangleformulae, Triangle, The geometry of a circle