#### Course **Description**

Trinischool Mathematics online course gives you a comprehensive knowledge and understanding of key subjects in mathematics. This course covers calculus, geometry, algebra, trigonometry, functions, vectors, data distributions, probability and probability and statistics.

This course will greatly enhance your skills in many areas of mathematics, giving you a greater understanding of core mathematics components such as geometry, trigonometry, calculus and more as well as expanding your knowledge base in areas such as chance, data distributions, statistics, probability, correlations and regression.

You will learn about using binomial expansions for problem solving and will understand the relationship between the graphs of functions and their antiderivatives.

You will be able to confidently create graphs and make advanced calculations such as straight-line calculations, kinematics, motion, vectors, algebra, binomial expressions, and quadratic functions.

##### Course Modules

Module 1: Geometry |
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Geometry |

Introduction to triangles |

Angle types |

Angle sizes and sums in triangles |

Triangles - Similiarity and congruence |

Corresponding angles |

Introduction to quadrilaterals |

Quadrilaterals |

Introduction to polygons |

Polygons |

Geometrical solids |

Conics (elipses and hyperbolae) |

Transformations |

Module 2: Probability and Chance |
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Summarising data |

Frequency and graphs |

Creating a frequency table from data |

Graphs of all kinds |

Introduction to probability |

Odds and probability |

Probability and relative frequency |

Module 3: Data Distributions |
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Discrete random variables |

Normal distribution |

Binomial distribution |

Hypergeometric distribution |

Module 4: Statistics, Correlation & Regression |
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Univariate data |

Univariate data 2 |

Bivariate data |

Summary statistics |

Range |

Symmetry |

Calculating a seasonal index |

Coefficient |

Regression line |

Non-linear data |

Residual analysis |

Trends |

Module 5: Sequences and Series |
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Arithmetic sequences |

Arithmetic series |

Geometric sequences |

Geometric series |

The binomial theorem |

Difference equations 1 |

Difference equations 2 |

Difference equations 3 |

Module 6: Trigonometry |
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Trigonometry 1 |

Trigonometry 2 |

Degrees and radians |

Pythagoras and bearings |

Trigonometric identities |

Ratio and proportion |

Ratio and proportion gears |

Module 7: Calculus |
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Rules of integration |

Integration applications |

Rules of differentiation |

Applications of differentiation |

Polynomial equations |

Factors of polynomials |

Differentiation - Product rule |

Differential equations |

Second derivatives |

Antiderivatives |

Antiderivatives of circular functions |

Antiderivatives and their graphs |

Module 8: Functions |
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Graphs |

Straight lines |

Straight line graphs |

Power graphs |

Graphs of ciruclar functions |

Inverse functions |

Logarithms and index laws |

Inverse circular functions |

Reciprocal function graphs |

Symmetry and periodicity |

Module 9: Vectors |
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Kinematics |

Motion |

Resolution of forces |

Scalar products of vectors |

Vectors |

Vectors 2 |

Vectors in 2 and 3 dimensions |

Module 10: Algebra |
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Introduction to Algebra |

Using Formulae 1 |

Using Formulae 2 |

Algebraic Expressions 1 |

Algebraic Expressions 2 |

Algebraic Fractions 1 |

Algebraic Fractions 2 |

Algebraic Fractions 3 |

Terminology for Algebraic Expressions |

Binomial Expressions 1 |

Binomial Expressions 2 |

Binomial Expressions 3 |

Completing the Square |

Perfect Squares |

Quadratic Trinomials |

Substitution into Algebraic Expressions |

Summary of Factorisation |