Alternative Recurrence Relation for Fibbonacci Sequence
Expansion and Convergence of Binomial
Domain of Function Equals Range of Inverse and Vice Versa
Decoding a Regression Line to Find Relationship Between Original Variables
Changing Hexadecimal Into Decimal
Changing Decimal Into Hexadecimal
Changing Between Arbitrary Bases
Transforming Variance and Mean 1
Particle Held in Equilibrium on Smooth Slope by Force Parallel to Slope
Performing a Backward Pass on an Activity Network
Integrating Sec Squared x Tan Squared x
Proof of Length of Arc Formula in Cartesian Coordinates
Solving Equations With Algebraic Fractions
First Fit Decreasing Algorithm
Solving Simple Simultaneous Inequalities
Proof of Irrationality of Square Root of 2
Writing a Recurring Decimal as a Fraction
Moment of Inertia of Thin Disc About Perpendiular Axis Passing Through Centre
Moment of Inertia of Thin Rod About One End
Converting DNA Into Binary Code
Expanding Fractional Powers Using General Binomial Expansion
Expanding Negative Powers Using General Binomial Expansion
Factorising a Quintic Polynomial With Real Coefficients Given One Real Root
Finding Eigenvectors of 2×2 Matrix
Maximum Value of the Reciprocal of a Quadratic
Binomial Expansion of a Quotient
Proof of the Inverse Function Rule
Finding the Area Between Two Curves and the x Axis
Finding the Area Between the x Axis and a Cubic Which Crosses the x Axis Twice
Conservation of Momentum and Collisions 2
Finding the Coommon Speed of Particles that Stick Together During a Coolision
Variation of Volume With Tempe
Changing Temperature, Volume and Pressure of a Gas 3
Conservation of Energy Applied to a Falling Ball
Conservation of Momentum and Collisions 1
Problem Solving With Similar Shapes 2
Problem Solving With Similar Shapes
Finding a Normalisation Constant for a Continuous Probability Distribution
Finding a Normalistation Constant for a Discrete Probability Distribution
Finding the Cumulative Distribution Function for a Uniform Distribution
Identifying Regions on a Venn Diagram 1
Identifying Regions on a Venn Diagram 2
Using Snells Law to Find Angle of Incidence
Using Snells Law to Find Angle of Refraction
Using Snells Law to Find Refractive Index
Changing Linear Into Rotational Equations of Motion
Finding the Area Between Two Curves
Integration Using Parametric Coordinates
Log Problem With a Change of Base 2
Log Problem With a Change of Base
Internal Resistance of a Battery
Proof of Potential Divider Formula
Finding the Line of Intersection of Two Circles
Finding the Point of Intersection of Circle and Line
Intersection of Circle With Axes
The Trapezium Rule – Concave and Convex Functions – Overestimates and Underestimates
How to Treat a Summation Not Starting at 1
Particle in Equilibrium on a Slope
When Does the Inverse of a 2×2 Matrix Exist
Least Distance Between Particle and Point
Finding the Resultant of Two Forces at Right Angles
Finding the Resultant of Two Forces
Point of Intersection of Tangents to Hyperbola
Tangent to Hyperbola at a General Point
Finding the Normal to a Hyperbola at a General Point
Finding the Resultant of Three Forces
Finding a Normal to a Curve at a Point
Beam Hinged at Wall and Held Horizontal By Cable
Ladder on Rough Ground Resting Against Smooth Wall
Uniform Beam Resting on Two Supports – Finding Reaction Forces at Supports
Factorising a Cubic Given a Real Root
Finding a Quadratic With Given Complex Roots
Finding an Expression for Sums of Powers of Numbers
Finding a Vector Parallel to Two Planes
Integrating e to the Power of x Times Cos x
Integrating e to the Power of x Times Sin x
Integration Using Partial Fractions
Proof of Volume of Revolution Formula
Writing Numbers in Standard Form
Solving Equations of the Form a Cosh x + b Sinh x=c
Changing Ordinary Trigonometric Identities to Hyperbolic Form
Finding an Expression for Cosh 3x
Finding an Expression for Sinh 3x
Finding an Expression for Arcsinh x
Finding an Expression for Arctanh x
Finding an Expression for Arccosh x
Find First Term and Common Difference for Arithmetic Series With Terms in Terms of k
Find First Term and Common Ratio for Geometric Series With Terms in Terms of k
Proof of Diffraction Grating Formula
Real Object and Real Image for a Converging Lens
Induced EMF in Coil Passing Into Magnetic Field
Integrate Square Root of x Over x -1
Integrating x Over the Square Root of x – 1
De Broglies Equation For Matter Particles
To Find sin x and cos x Given tan x
Dividing Numbers Written in Standard Form
Exponential Growth and Simultaneous Equations
Irrational Numbers that Add to Give a Rational Number
Making x the Subject of a Formula When There are xs on Both Sides
Multiplying Numbers Written in Standard Form
Writing a Quotient to be Able to Integrate it
Adding Numbers Written in Standard Form
Proof of E=hf Formula for Photons
Proof that a Simple Pendulum Moves With Simple Harmonic Motion
Whenever I Think About the British Prime Minister
Finding a Side Using the Sine Rule
Integrating 1 Over Square Root x Squared Plus 1
Integrating 1 over x Squared Plus 1
Integrating 1 Over Square Root 1 Minus x Squared
Integrating 1 over Square Root x Squared Minus 1
Integrating Top Heavy Polynomials
Angle Between Vertical and a Side of a Hanging Lamina
Circle Theorems – Circle Drawn in Triangle
Angular Momentum Operator Lx and Lz Do Not Commute
Angular Momentum Operators Lx and Ly Do Not Commute
Angular Momentum Operators Ly and and Lz do not commute
Energy Operator in Quantum Mechanics for Free Particle
Pythagoras Theorem in Three Dimensions
Angles Between Vectors or Lines and Planes
Finding the Angle Between Two Vectors
Finding the Dot Product of Two Vectors
Least Distance From a Point to a Line
Proof of Special Relativity Energy Momentum Formula
Solving Equations of the Form a cos x equals b sin x
Solving Quadratic Trigonometric Equations
The Polar Form of a Complex Number
Hookes Law and the Energy Stored in a Spring
Proof of Simple Formula for Gravitational Potential Energy
Solving Simultaneous Equations With Matrices
Number of Combinations of Selections From 2 Different Groups
Number of Permutations of Selections From 2 Different Groups
Asymptotes – x Divided by a Quadratic
Multiplying and Dividing Complex Numbers Written in Polar Form
Solving Absolute Value Equations
Proof of Simple Kinetic Energy Formula
Why We Weigh Less at the Equator Than at the Poles
Differentiating Unit Vectors in Polar Coordinates
Rate of Change of Radial Vector in Polar Coordinates
Unit Vectors in Polar Coordinates
Changing Temperature, Volume and Pressure of a Gas
Changing Temperature, Volume and Pressure of a gas 2
RMS Speeds and Average Kinetic Energy
Speed of Molecules of a Gas Depends Only on Mass and Temperature
Variation of Pressure With Temperature at Constant Volume
Boyles Law – Variation of Pressure With Volume at Constant Temperature
Finding a Cartesian Equation for a 3D Line
Finding the Point of Intersection of a Line With a Plane
Finding Where the Graph of a Function is Increasing
Voltage Across Each Resistor in a Series Circuit
Current Through Each Resistor in a Parallel Circuit
Current in a Circuit With Resistors in Parallel and Series (1)
Current in a Circuit With Resistors in Parallel and Series (3)
Current in a Circuit With Resistors in Parallel and Series (4)
Current in a Circuit With Resistors in Parallel
Electron Accelerated Through a Potential Difference
Finding the Standard Deviation of a List of Numbers
Lower Quartile From a Frequency Table
Lower and Upper Quartiles of a List of Numbers
Picking r Objects From n Possible
The Difference Between Arrangements of Objects the Same or Not
Upper Quartile From a Frequency Table
Finding the Variance From a Frequency Table
A Really Complicated Circle Theorem Example
Another Circle Theorem Example
Finding the nth Term for a Quadratic Sequence
Finding Centre of Gravity and Weight of a Rod
Finding Position Vector of a Particle of Constant Velocity
Finding Tension and Acceleration for Particles Hanging over a Pulley
Finding Velocity and Acceleration Given an Expression for the Displacement
Proof of Formula Arctan x + Cottan x = pi over 2
Proof of Formula for cos 4 theta
Proof of Trigonometric Identiy arccos x + arcsin x = pi over 2
Proving the Double Angle Formulae
Proving the Identity Tan A + Tan B + Tan C = Tan A Tan B Tan C
Rate of Change and Chain Rule (2)
Separating an Expression into Partial Fractions
Writing a Parametric Curve in Cartesian Coordinates
Writing a cos x + b sin x as R sin (x+ alpha)
Differentiating a Function of a Product
Differentiating a Function of a Quotient
Differentiating a Product With a Function of a Function
Differentiating a Product of Three Functions
Differentiating a Quotient With a Product
Differentiating a Quotient of Functions of Functions
Finding Some Principle Values of Trigonometric Functions
Finding the Gradient of a Curve Defined Parametrically
Integrating Reciprocals of Linear Expressions
Finding if Two 3D Lines Intersect
Finding the Cartesian Equation of a Line in 3D
Finding the Equation of a Plane Perpendicular to a Given Vector Passing Through a Given Point
Finding the Equation of the Line of Intersection of Two Planes
Integrating a Product of Cosines
Integrating a Product of Sines and Cosines
Integrating a Product of Sines
Finding the Centre and Radius of a Circle
Finding the Equation of a Tangent to a Circle at a Given Point
Is a Point Inside or Outside the Circle
Proof of Formula for Sum of Geometric Series
Solving Exponential Equations Which Reduce to Quadratics
Equation of a Perpendicular Line Passing Through a Given Point
Finding Greatest n Such that the Sum of an Arithmetic Series is Less Than a Certain Number
Finding Least n Such that the Sum of an Arithmetic Series is Greater Than a Certain Number
Finding and Classifying Turning Points
Graphs of Quotients of Rational Functions
Number of Roots of a Quadratic
Proof of Formula for Sum of Arithmetic Series
finding_the_minimum_value_of_a_quadratic
Changing Between Degrees and Radians
Percentage Increase or Dexrease
Problem Solving Using Pythagoras Theorem
Problem Solving With Differences of Squares
Proof That the Difference Between Consecutive Square Numbers is Odd
Raising an Expression to a Power
A Common Mistake Made While Using Percentages
Arranging Reciprocals in Order
Cancelling Algebraic Fractions
Disproving a Statement by Finding a Counterexample
Finding Pre Sale Prices Given the Sale Price
Finding a Region Satisfying Inequalities
How Long Before We Are Head Deep in Poo
How Many People Die During a Prime Ministers Speech
Irrational Numbers That Multiply to Give a Rational Number
Finding a Limit of an Expression at a Point Using Taylor Series
Finding the Taylor Series of a Function About a Point
Finding the Taylor Series of a Product
Integrating in Polar Coordinates
Solving Differential Equations by Separation of Variables
Writing a Cartesian Equation in Polar Coordinates
Finding the Equation of a Line Given Two Points
Plotting Cumulative Frequency Curves
Using Simple Trigonometry to Find an Angle
Finding the nth Term of a Simple Sequence
Using the Cosine Rule to Find a Side
Using the Sine Rule to Find an Angle
Using the Cosine Rule to Find an Angle
Finding the Mean of a Frequency Table
Writing a Number as a Product of Prime Factors
Lengths Areas and Volumes of Similar Solids
Solving Simultaneous Equations
Solving Quadratic Equations – the_abc Formula
Venn Diagrams – Independent Events_Two
Conditional Probability for Independent Events
Venn Diagrams – Independence and Conditional Probability – A Worked Example
Finding the Variance From a Probability Table
Finding the Mean from a Probability_table
venn diagrams independent events
log equations which involve quadratics
adding subtracting multiplying dividing fractions
Solving Simple Equations with x’s on Both Sides
Finding the Minimum Value of a Quadratic
Finding the Equation of a Tangent to a Curve at a Point
Factorising Quadratics into Two Brackets
Differentiation – The Quotient Rule C3