Showing posts with label calculus. Show all posts
Showing posts with label calculus. Show all posts
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This used to be for programming, until I married math
Senior One
Midpoints ✔
Gradients ✔
y = mx + b ✔
Equation of a line ✔
Intersecting lines ✔
Algebraic Manipulation ✔
Function Notation ✔
Linear Inequalities ✔
Quadratic Inequalities ✔
Cancelling algebraic fractions ✔
Adding algebraic fractions ✔
Multiplying algebraic fractions ✔
Solving equations with fractions ✔
Factorising quadtratics ✔
Solving quadtratics ✔
Quadratic formula ✔
Complete the square ✔
Intersecting lines and curves ✔
Equations of circles ✔
Circle geometry ✔
Sketching graphs ✔
Square root hyperbolic graphs ✔
Quadtratic Graphs ✔
Sketching Polynomials ✔
Factor theorem ✔
Dividing polynomials ✔
Remainder theorem ✔
Indices ✔
Surds ✔
Types of sequences ✔
Arithmetic series ✔
Binomial expansion ✔
Gradient of a tangent ✔
Differentiating polynomials ✔
Tangents and normals ✔
Stationary points ✔
Applications ✔
Introduction to integration ✔
Particular solutions ✔
Area under a curve ✔
Area between 2 lines ✔
Senior Two
Equations of circles ✔
Circle geometry ✔
Transforming graphs ✔
Sketching polynomials ✔
Types of sequences ✔
Arithmetic series ✔
Geometric series ✔
Binomial expansion ✔
Area around the y-axis ✔
Trapezium rule (Integration) ✔
The sine rule ✔
The cosine rule ✔
Sine and cosine graphs ✔
Tangent graphs ✔
Transforming trig graphs ✔
Radians, arcs, areas ✔
Special triangles ✔
Trig equations ✔
Exponential Graphs ✔
Rules of logs ✔
Log equations ✔
Senior Three
Exponential function ✔
The natural log ✔
Graphs ✔
Growth and decay ✔
Functions ✔
Composition ✔
Modulus function ✔
Inverse trig functions ✔
Reciprocal trig functions ✔
Addition formulae
R-alpha Method
Trig review
Differentiating Exp x and Ln x ✔
Chain rule ✔
Product rule ✔
Quotient rule ✔
Differentiating trig functions ✔
Rates of change ✔
Integration by inspection ✔
Exponential and ln x ✔
By substitution ✔
Integrating sine and cosine ✔
By parts ✔
Solids of revolution ✔
Change of sign ✔
Iteration ✔
Simpson's rule ✔
Newton Raphson ✔
Senior Four
Partial fractions ✔
Simplifying fractions ✔
Quadtratic factors ✔
Improper fractions ✔
Binomial expansion 2 ✔
Expanding binomial fractions ✔
Vectors introduction ✔
Position vector ✔
Three dimensions
Scalar products
Vector equation of a line
Intersecting lines
Angles between lines
Cartesian equation of a line
Equation of a plane
Further plane problems
Parametric functions
Circles and ellipses
Differentiating parametric functions
Implicit differentiation
Fractions
Partial fractions
Trig functions
Harder substitution
By parts twice ✔
Integration review
Differential equations
Particular solutions
THE END..for now
Midpoints ✔
Gradients ✔
y = mx + b ✔
Equation of a line ✔
Intersecting lines ✔
Algebraic Manipulation ✔
Function Notation ✔
Linear Inequalities ✔
Quadratic Inequalities ✔
Cancelling algebraic fractions ✔
Adding algebraic fractions ✔
Multiplying algebraic fractions ✔
Solving equations with fractions ✔
Factorising quadtratics ✔
Solving quadtratics ✔
Quadratic formula ✔
Complete the square ✔
Intersecting lines and curves ✔
Equations of circles ✔
Circle geometry ✔
Sketching graphs ✔
Square root hyperbolic graphs ✔
Quadtratic Graphs ✔
Sketching Polynomials ✔
Factor theorem ✔
Dividing polynomials ✔
Remainder theorem ✔
Indices ✔
Surds ✔
Types of sequences ✔
Arithmetic series ✔
Binomial expansion ✔
Gradient of a tangent ✔
Differentiating polynomials ✔
Tangents and normals ✔
Stationary points ✔
Applications ✔
Introduction to integration ✔
Particular solutions ✔
Area under a curve ✔
Area between 2 lines ✔
Senior Two
Equations of circles ✔
Circle geometry ✔
Transforming graphs ✔
Sketching polynomials ✔
Types of sequences ✔
Arithmetic series ✔
Geometric series ✔
Binomial expansion ✔
Area around the y-axis ✔
Trapezium rule (Integration) ✔
The sine rule ✔
The cosine rule ✔
Sine and cosine graphs ✔
Tangent graphs ✔
Transforming trig graphs ✔
Radians, arcs, areas ✔
Special triangles ✔
Trig equations ✔
Exponential Graphs ✔
Rules of logs ✔
Log equations ✔
Senior Three
Exponential function ✔
The natural log ✔
Graphs ✔
Growth and decay ✔
Functions ✔
Composition ✔
Modulus function ✔
Inverse trig functions ✔
Reciprocal trig functions ✔
Addition formulae
R-alpha Method
Trig review
Differentiating Exp x and Ln x ✔
Chain rule ✔
Product rule ✔
Quotient rule ✔
Differentiating trig functions ✔
Rates of change ✔
Integration by inspection ✔
Exponential and ln x ✔
By substitution ✔
Integrating sine and cosine ✔
By parts ✔
Solids of revolution ✔
Change of sign ✔
Iteration ✔
Simpson's rule ✔
Newton Raphson ✔
Senior Four
Partial fractions ✔
Simplifying fractions ✔
Quadtratic factors ✔
Improper fractions ✔
Binomial expansion 2 ✔
Expanding binomial fractions ✔
Vectors introduction ✔
Position vector ✔
Three dimensions
Scalar products
Vector equation of a line
Intersecting lines
Angles between lines
Cartesian equation of a line
Equation of a plane
Further plane problems
Parametric functions
Circles and ellipses
Differentiating parametric functions
Implicit differentiation
Fractions
Partial fractions
Trig functions
Harder substitution
By parts twice ✔
Integration review
Differential equations
Particular solutions
THE END..for now
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