课程库
数字和算术
The Integers
Commutative, Associative and Distributive Laws即将推出
Order of Operations即将推出
The Number Line即将推出
Arithmetic with Negative Numbers即将推出
Properties of Zero即将推出
Absolute Value即将推出
Place Value即将推出
Fractions
Introduction即将推出
Fraction Arithmetic即将推出
Mixed Numbers即将推出
Dividing Fractions即将推出
Decimals
Introduction即将推出
Adding and Subtracting Decimals即将推出
Ordering Decimals即将推出
Multiplying and Dividing Decimals即将推出
Converting Decimals and Fractions即将推出
Rounding即将推出
Rates, Percentages and Ratios
Ratios and Mixtures即将推出
Percentages即将推出
Percentage Increase and Decrease即将推出
Interest即将推出
Ratios and Rates即将推出
Roots and Exponents
Square and Cube Roots即将推出
Rational and Irrational Numbers即将推出
Powers and Exponents即将推出
Large and Small Numbers即将推出
Scientific Notation即将推出
方程和函数
Introduction to Algebra
Introduction即将推出
Constants and Variables即将推出
Manipulating Expressions即将推出
Modelling即将推出
Proportional Relationships
Introduction即将推出
Direct and Inverse Proportion即将推出
Graphing Proportional Relationships即将推出
Constant of Proportionality即将推出
Linear Equations
Reasoning with Tape Diagrams即将推出
Weighing and Balancing即将推出
Manipulating Equations即将推出
Solving Linear Equations即将推出
Inequalities即将推出
Linear Functions
Input and Output即将推出
Graphing Functions即将推出
Slope and Intercept即将推出
Parallel and Perpendicular Lines即将推出
Linear Functions即将推出
Piecewise Functions and Systems of Equations即将推出
几何
Area and Shapes
Introduction即将推出
Parallelograms and Triangles即将推出
Polygons即将推出
Circles and Circumferences即将推出
Area of Circles即将推出
Angles and Polygons
Angles即将推出
Angles in Polygons即将推出
Pythagoras’ Theorem即将推出
The Coordinate Plane即将推出
Transformations and Congruence即将推出
3D Solids
Introduction即将推出
Nets and Surface Area即将推出
Prisms and Pyramids即将推出
Cylinders and Cones即将推出
Spheres即将推出
Units and Measuring
Measuring即将推出
Units and Conversion即将推出
Scale Drawings即将推出
Scaling and Dimensions即将推出
Estimation即将推出
概率与统计
Introduction to Probability
Introduction即将推出
Computing Probabilities即将推出
Probability Trees即将推出
Venn Diagrams即将推出
Data and Statistics
Introduction即将推出
Center and Spread即将推出
Visualising Data即将推出
Sampling即将推出
Scatter Plots and Linear Models即将推出
几何
Non-Euclidean Geometry
Higher Dimensions即将推出
代数
Functions
Relations and Functions即将推出
Graphing and Interpreting Functions即将推出
Linear Functions and Equations即将推出
Piecewise Functions即将推出
Absolute Value Functions即将推出
Inverse Functions即将推出
Rates of Change即将推出
Quadratic Equations
Binomial Expressions即将推出
Solving Quadratic Equations即将推出
The Quadratic Formula即将推出
Graphing Quadratics即将推出
Projectile Motion即将推出
More Applications即将推出
Inequalities and Systems of Equations
Systems of Linear Equations即将推出
Row Operations and Elimination即将推出
Linear Inequalities即将推出
Systems of Inequalities即将推出
Quadratic Inequalities即将推出
Exponential Functions
Exponential Growth and Decay即将推出
Comparing Models即将推出
Compound Interest即将推出
Population Dynamics即将推出
概率论与离散数学
Statistics and Data
Data Visualisation即将推出
Center and Spread of Data即将推出
Sampling and Estimation即将推出
Spreadsheets and Frequency Tables即将推出
Linear Models即将推出
Codes and Ciphers
Binary Numbers即将推出
Error Detection即将推出
Secret Codes即将推出
The Enigma即将推出
Public Key Cryptography即将推出
代数与分析
Polynomials
Introduction即将推出
Zeros of Polynomials即将推出
Sketching Polynomial Functions即将推出
The Factor and Remainder Theorems即将推出
Systems of Equations即将推出
Function Transformations
Combining and Composing Functions即将推出
Translating Functions即将推出
Reflecting Functions即将推出
Scaling Functions即将推出
Inverse functions即将推出
Rationals and Radicals
Rational and Irrational Numbers即将推出
Rational Functions and Expressions即将推出
Solving Rational Equations即将推出
Exponent Laws即将推出
Radical Functions即将推出
Solving Radical Equations即将推出
Exponentials and Logarithms
Exponential Growth and Decay即将推出
Exponential Functions即将推出
Introduction to Logarithms即将推出
Laws of Logarithms即将推出
The Number e即将推出
Logarithmic Functions即将推出
Sequences and Series
Sequences即将推出
Series and Sigma Notation即将推出
Arithmetic and Geometric Series即将推出
The Binomial Theorem即将推出
Logic, Sets and Proof
几何与线性代数
Coordinate Geometry
Equations of Lines即将推出
Parallel and Perpendicular Lines即将推出
Equations of Circles即将推出
Properties of Polygons即将推出
Transformations即将推出
Trigonometry
The Unit Circle Definition即将推出
Graphs of Trigonometric Functions即将推出
Amplitude, Frequency and Transformations即将推出
Pythagorean Identities即将推出
More Trigonometric Identities即将推出
Inverse Trigonometric Functions即将推出
Circular Motion即将推出
Conic Sections and Polar Coordinates
Parametric Curves即将推出
Circles and Ellipses即将推出
Parabolae即将推出
Hyperbolae即将推出
Polar Coordinates即将推出
Vectors
Introduction即将推出
Vector Arithmetic即将推出
Scalar Products and Equations of Planes即将推出
Cross Products and Equations of Lines即将推出
Geometry Problems即将推出
Matrices
Matrices as Transformations即将推出
Matrix Arithmetic即将推出
Determinants即将推出
Matrix Inverses即将推出
Cramer’s Rule and Gaussian Elimination即将推出
Eigenvalues and Eigenvectors即将推出
Complex Numbers
Introduction即将推出
Complex Arithmetic即将推出
Quadratic, Cubic and Quartic Equations即将推出
Euler’s Identity即将推出
De Moivre’s Theorem and Roots of Unity即将推出
微积分
Differentiation
Introduction即将推出
Limits and Gradients即将推出
Differentiation Rules I即将推出
Differentiation Rules II即将推出
Optimisation problems即将推出
Integration
Introduction即将推出
Integration Rules即将推出
Definite Integrals and Areas under a Curve即将推出
Improper Integrals即将推出
Solids of Revolution即将推出
Numerical Methods
Solving Equations Numerically即将推出
The Newton-Raphson Method即将推出
Numerical Integration即将推出
Maclaurin and Taylor series即将推出
Differential Equations
Simple Differential Equations即将推出
First Order Separable Equations即将推出
Second Order Differential Equations即将推出
Homogenous Equations and Particular Integrals即将推出
Simple Harmonic Motion即将推出
Coupled Differential Equations即将推出
Chaos Theory
Mathematical Billiard即将推出
The Three Body Problem即将推出
Phase Space and Strange Attractors即将推出
The Logistic Map即将推出
概率与统计
Random Variables
Introduction即将推出
Discrete Random Variables即将推出
Binomial and Poisson Distribution即将推出
Continuous Random Variables即将推出
The Normal Distribution即将推出
The Central Limit Theorem即将推出
Statistics and Hypothesis Tests
Sampling and Estimation即将推出
Hypothesis Tests and Confidence Intervals即将推出
Linear Models and Correlation Coefficients即将推出
Contingency tables and Chi Squared Tests即将推出
Bayesian Statistics即将推出
Algorithms
Introduction to Computing即将推出
Complexity and O Notation即将推出
Sorting Algorithms即将推出
Linear Programming and the Simplex Algorithm即将推出
Graphs, Trees and Networks即将推出
Machine Learning
Introduction即将推出
Linear Regression即将推出
Support Vector Machines即将推出
Neural Networks即将推出
Unsupervised Learning即将推出
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