Powerpoints

Click on the following links to access the powerpoints from certain topics.

Decision 1                                                   

Graph Theory  | Introduction to Graph Theory  | Isomorphic Graphs |

Networks  | Prims | Kruskals | Distance Tables and Networks | Shortest Paths |

Linear Programming | Linear Programming | Minimisation | Types of Linear  Programming | Slack Variables |

Critical Path Analysis  | Critical Path Analysis | Calculating Float | Cascade Charts + Resource Allocation |

Simulation  | Simulation | Queuing | Inter Arrival Times | 2 Queues 2 Servers |

Algorithms  | Introduction of Algorithms  | Heuristic Algorithms  | Sorting Algorithms Part 1  | Sorting Algorithms Part 2 | Algorithmic Complexity  | Searching Algorithms |

Core 1

Equations of Lines | Sketching Curves | Binomial Expansions | Quadratic Simultraneous Equations Part 1 | Quadratic Simultaneous Equations Part 2 and Part 3 | Solving Linear Inequalities | Quadratic Inequalities | Binomial Coefficients |

Core 2

Trigonometry | Sine Rule | Cosine Rule | Area of a Triangle |

Logarithms | Basic Logarithms | Modelling Curves | Exponential Curves |

Sequences + Series | Basic Sequences | Sigma Notation | Arithmetic Sequences + Series | Geometric Sequences |

Differentiation | Basics | Using The Gradient Function | Tangents + Normals | Max + Min Points | Increasing + Decreasing Functions | Points Of Inflexion | Second Derivatives |

Integration | Integration Introduction | Definite + Indefinite Integration | Areas Under The x Axis | Areas Between 2 Curves | Areas + The y Axis | Numerical Integration - Trapezium Rule |  

Core 3

Coursework | Decimal Search | Newton Raphson | Rearranging Method |

Functions | Odd + Even Functions | Curve Sketching | Functions | Inverse Functions |

Differentiation | Chain Rule |  Rates of Change | Rates of Change 2 |  Implicit Differentiation | Implicit Differentiation with answers | Calculus | Product Rule | Quotient Rule |  Differentiation Exam Solutions | Exponentials + Logarithms |

Integration | Integration by Subs Indefinite | Integration by Subs Definite | Integration of Natural Logarithms | Extending to Negative Numbers | Integrating Sinx and Cosx | Indefinite Integration By Parts | Definite Integration By Parts | Integration Exam Question |

Core 4

Algebra | Binomial Expansions | Algebraic Fractions | Solving Equations | Linear Factor | Quadratic Factor | Repeated Factor | Partial Fractions + Binomials |

Further Integration | Volumes of Revolution | Partial Fractions + Integration |

Trigonometry | Reciprocal Trig Functions | Compound Angle | Double Angle | rsin and rcos |

Parametric Equations | Basics | Differentiation |

Differential Equations | Forming | Separating Variables | Particular Solutions |

Vector Geometry | 2D Vector Geometry | Angle Between 2 Vectors | 3D Vector Geometry | Angle Between 2 Vectors in 3D | Planes |

Statistics 1

Exploring Data | Stem + Leaf | Measures of Central Tendency | Grouped Data | Measures of Spread | Linear Coding |

Data Presentation | Data Presentation | Histograms | Use of Quartiles |

Probability | Basic Probability | Conditional Probability |

Discrete Random Variables | DRV | Expectation + Variance |

Further Probability | Factorials | Permutations + Combinations |

Binomial Distribution | Basics | Using the Binomial Distribution |

Hypothesis Testing | Testing Using The Binomial | Finding The Critical Region | 1 Tail + 2 Tail Testing |

Mechanics 1

Motion | Motion Basics | Speed + Velocity | Acceleration | Using Areas Under Graphs |

Constant Acceleration | Modelling with SUVAT | Further Examples | How Do We Get SUVAT? |

Forces + Motion | Force Diagrams | Newton's 1st Law | Resultants | Pulleys |

Newton's Laws In A Straight Line | 2nd Law examples | 2nd Law + SUVAT | Connected Particles |

Vectors | Displacement Vectors | Magnitude + Direction | Resolving Vectors |

Projectiles | Projectile Basics | Accessible Points |

Forces + Motion In 2D | Finding Resultant Forces | Forces In Equilibrium | Newton and Forces In 2D |

Statistics 2

Poisson Distribution | Poisson Basics | Worded Questions | Sum Of 2 Poissons | Poisson Approx To The Binomial |

Normal Distribution | Normal Approximation to the Binomial Distribution | Summary of Hypothesis Testing |

Sample Means + Hypothesis Testing | Background Information | Hypothesis Testing | Chi Squared |

Bivariate Data | Spearmans Rank + Testing | PMCC | Least Squares Regression |

Further Pure 1

Matrices | Working With Matrices | Transformations of Matrices | Rotations | Matrix Multiplication | Composition of Matrices | Inverse Matrices | Using Determinants | Matrices + Simultaneous Equations | Invariant Points |

Complex Numbers | Basics | Division + Problems | Argand Diagrams | Sets of Points in an Argand diagram | Modulus-Argument Form | Sets of Points Using Modulus-Argument Form | Complex Numbers + Equations |

Identities + Roots | Identities | Quadratics | Cubics | Quartics |

Proof by Induction | Proof by Induction | More Proof by Induction | Summation | Using Standard Results |

Curve Sketching | Graphs of Rational Functions | Inequalities |