ÿþ<html><head> <title>Syllabus for maths test</title> <link href="CSS/main.css" rel="stylesheet" type="text/css" /> </head> <body> <p> <a href="index.html">GamesDegree Home</a> -> <a href="mathsentry.html">Maths requirements</a> -> Syllabus </p> <h1 align="center">Maths requirements for the Games Programming degree</h1> <p>An understanding of the material listed below will be needed by students studying on the Games Programming degree. You are expected to master this material before attending the course.</p> <p>Suggested texts are "Core mathematics 1" and "Core mathematics 2" in the Heinemann Modular Mathematics series. The material listed below matches chapters 1,2,5,7,8 in book 1 and chapters 6, 10 in book 2</p> <h2>Algebra and functions</h2> <ul> <li>Simplifying an expression by collecting like terms</li> <li>The laws of indices</li> <li>Expanding an expression</li> <li>Factorising an expression</li> <li>Factorising a quadratic expression</li> <li>The laws of indices for all rational exponents</li> <li>The use and manipulation of surds</li> <li>Rationalising the denominator of a fraction when it is a surd</li> </ul> <h2>Quadratic Equations</h2> <ul> <li>Plotting the graphs of quadratic functions</li> <li>Solving quadratic equations by factorisation</li> <li>Completing the square</li> <li>Solving quadratic equations by completing the square</li> <li>Solving quadratic equations by using the formula</li> <li>Sketching graphs of quadratic formula</li> </ul> <h2>Co-ordinate geometry in the <i>(x,y)</i> plane</h2> <ul> <li>The equation of a straight line in the form <i>y = mx + c</i> or <i>ax + by + c = 0</i></li> <li>The gradient of a straight line</li> <li>The equation of a straight line of the form <i>y-y<sub>1</sub> = m(x-x<sub>1</sub>)</i></li> <li>The formula for finding the equation of a straight line</li> <li>The conditions for two straight lines to be parralel or perpendicular</li> <li>The mid-point of a line</li> <li>The distance between two points on a line</li> <li>The equation of a circle</li> </ul> <h2>Differentiation</h2> <ul> <li>The derivative of <i>f(x)</i> as the gradient of the tangent to the graph <i>y = f(x)</i></li> <li>Finding the formula for the gradient of <i>x<sup>n</sup></i></li> <li>Finding the gradient formula for simple functions</li> <li>The gradient formula for a function where the powers of <i>x</i> are real numbers</li> <li>Expanding or simplifying functions to make them easier to differentiate</li> <li>Finding second order derivatives</li> <li>Finding the rate of change of a function at a particular point</li> <li>Finding the equation of the tangent and normal to a curve at a point</li> </ul> <h2>Integration</h2> <ul> <li>Integrating <i>x<sup>n</sup></i></li> <li>Integrating simple expressions</li> <li>Using the integral sign</li> <li>Simplifying expressions before integrating</li> <li>Finding the constant of integration</li> </ul> <h2>Trigonometry</h2> <ul> <li>Using the sine rule to find missing sides</li> <li>Using the sine rule to find missing angles</li> <li>The rule and finding two solutions for a missing angle</li> <li>Using the cosine rule to find a missing side</li> <li>Using the cosine rule to find a missing angle</li> <li>Using the sine rule, the cosine rule and Pythagoras Theorem</li> <li>Calculating the area of a triangle using sine</li> <li>Simple trigonometrical identities: <i>tan(˜) = sin(˜)/cos(˜)</i> and <i>sin<sup>2</sup>(˜) + cos<sup>2</sup>(˜) = 1</i></li> <li>Solving simple trigonometrical equations</li> <li>Solving equations of the form <i>sin(n˜ + ±)</i>, <i>cos(n˜ + ±)</i> and <i>tan(n˜ + ±) = k</i></li> <li>Solving quadratic trigonometrical equations</li> </ul> <h2>Radian measure and its applications</h2> <ul> <li>Using radians to measure angles</li> <li>The length of the arc of a circle</li> <li>The area of a sector of a circle</li> <li>The area of a segment of a circle</li> </ul> </body></html>