Quadratic Equations
Main topic
Properties and Relationships of Square Numbers
Pythagoras
Pythagorean Triples
Fermatt's last equation
Conic Sections
Ellipses
Circles
Parabolae
Hyperbolae
Multi-Dimensional Equations
3-Dimensional Equations
Further Applications
Schrodinger
The Golden Ratio
Fibonacci Sequence
Aesthetics
Nature
Architecture
Art - Horizon Focus
Foolscap Paper Size
Bernouilli
Fluid Dynamics
Flight
Energy in a Sail
Fluid Flow
What happens to paint on a paintbrush?
Newtonian Motion
F=Ma and associated equations of motion
Acceleration
Speed, Distance, Time
Calculus
Drag, and coefficient of
Kinetic and potential Energy Equations
Gravitation
Derivation of Complex Numbers
Euler
Applications of Complex Theory
Argand Diagrams
Simple Harmonic Motion
Euler
e^i(pi)=-1
Derivation of complex Numbers
Solution Processes
Algebra
Linear Equations
Graphs
Solutions
Simultaneous Equations
Subtopic
Simultaneous Equations
Inequalities
History
Trial and Improvement
Plotting Graphs
x,y intersects
Max/Min points
Graph for "no real roots"
Repeated and separate roots
Completing the Square
Graph Conventions
Forms of Graphs
Manipulating Equations
Factorisation
Manipulating Factors
Deriving "The Equation"
Discriminant