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a-level
computer-science
computer-architecture-data-communications-and-applications
databases-and-distributed-systems
fundamentals-of-databases
Definitions, terminology and keys
Normalisation
What is a database
Fundamentals of Databases
hardware-and-communication
Assembly Programming
Fetch Decode Execute Cycle
Input and Output Devices
Processor Architecture
Storage Devices
organisation-and-structure-of-data
Introduction to Hashing Algorithms
Transaction and Master files and serial and sequential files
Data Representation
Data security and integrity
Data Transmission
Databases and Distributed Systems
Hardware and Communication
Organisation and Structure of Data
The need for different software
The Operating System
programming-and-development
algorithms-and-programs
sorting-data
Quick Sort
Big-O
Data Compression
Fundamentals
Logical Operations
Modularity, Variables, Scope and Parameter Passing
Program Flow
Recursion
Searching Data
Sorting Data
Testing
Tree Traversal
Validation and Verification
data-structures
Hash Tables
Linked Lists
Queues
Stacks
Static vs Dynamic Data Structures
Tree Traversal
logical-operations
Bitwise Manipulation
Boolean Algebra Laws
program-construction
Lexical Analysis
Semantic Analysis
Syntax Analysis
software-engineering
Gantt Charts
IDEs
SSADM and CASE tools for project management
systems-analysis
Backing Up Data
Methodologies
Stages of Software Analysis
Algorithms and Programs
Data Structures
Economic, moral, legal, ethical and cultural issues
Logical operations
Principles of programming
Program Construction
Software Engineering
Systems Analysis
Systems Design
visual-basic
october-22-test
testproblem1.png
TestProblem1
testproblem2.png
TestProblem2
testproblem3.png
TestProblem3
October 22 Test
Computer architecture, data, communications and applications
Programmed solution to a problem
Programming and Development
Visual Basic
further-maths
core-pure-1
argand-diagrams
Argand Diagrams
Loci in Argand Diagrams
Modulus and Argument
Modulus-Argument in the form of complex numbers
Regions in Argand Diagrams
complex-numbers
Complex Conjugation
Imaginary and Complex Numbers
Multiplying Complex Numbers
Roots of Quadratic Equations
Solving Cubic and Quartic Equations
linear-transformations
Enlargements and Stretches
Examples
Linear Transformations in three dimensions
Linear Transformations in two dimensions
Reflections and Rotations
Successive Transformations
The Inverse of a Linear Transformation
matrices
Determinants
Examples
Introduction to Matrices
Inverting a 2x2 Matrix
Inverting a 3x3 Matrix
Matrix Multiplication
Solving Systems of Equations using Matrices
Transposing Matrices
proof-by-induction
Proof by Mathematical Induction
Proving divisibility results
Proving Statements involving Matrices
roots-of-polynomials
Examples
Expressions relating to the Roots of Polynomials
Linear Transformations of Roots
Roots of a Cubic Equation
Roots of a Quadratic Equation
Roots of a Quartic Equation
Table of Polynomials
series
Examples
Sums of Natural Numbers
Sums of Squares and Cubes
vectors
Calculating Angles between Lines and Planes
Equation of a Line in Three Dimensions
Equation of a Plane in Three Dimensions
Finding Perpendiculars
Points of Intersection
Scalar Product
volumes-of-revolution
Adding and Subtracting Volumes
Modelling with Volumes of Revolution
Volumes of Revolution around the x-axis
Volumes of Revolution around the y-axis
Argand Diagrams
Complex Numbers
Linear Transformations
Matrices
Proof by Induction
Roots of Polynomials
Series
Vectors
Volumes of Revolution
core-pure-2
complex-numbers
Exponential Form of Complex Numbers
Multiplying and dividing complex numbers
series
Higher Derivatives
The Method of Differences
Complex Numbers
Series
further-decision-1
algorithms
Bin-packing Algorithms
Bubble Sort
Flow Charts
Order of an Algorithm
Quick Sort
Using and Understanding Algorithms
algorithms-on-graphs
Applying Prim's Algorithm to a Distance Matrix
Floyd's Algorithm
Kruskal's Algorithm
Prim's Algorithm
Using Dijkstra's Algorithm to find the Shortest Path
critical-path-analysis
Critical Activities
Dummy Activities
Early and Late Event Times
Gantt Charts
Modelling a Project
Resource Histograms
Scheduling Diagrams
The Float of an Activity
graphs-and-networks
Graph Theory
Modelling with Graphs
Representing Graphs and Networks using Matrices
Special Types of Graph
The Planarity Algorithm
linear-programming
Examples
Graphical Methods
Linear Programming Methods
Locating the Optimal Point
Solutions with Integer Values
review-exercises
Review Exercise 1
Review Exercise 2
route-inspection
Eulerian Graphs
Networks with more than four odd nodes
Using the Route Inspection Algorithm
the-simplex-algorithm
Formulating Linear Programming Problems
Problems Requiring Integer Solutions
The Big-M Method
The Simplex Method
Two-Stage Simplex Method
the-travelling-salesman-problem
The Classical and Practical Travelling Salesman Problems
Using a Minimum Spanning Tree Method to find a Lower Bound
Using a Minimum Spanning Tree Method to find an Upper Bound
Using the Nearest Neighbour Algorithm to find an Upper Bound
Algorithms
Algorithms on Graphs
Critical Path Analysis
Graphs and Networks
Linear Programming
Review Exercises
Route Inspection
The Simplex Algorithm
The Travelling Salesman problem
further-mechanics-1
elastic-collisions-in-one-dimension
Direct Collision with a Smooth Plane
Direct impact and Newton's law of restitution
Loss of Kinetic Energy
momentum-and-impulse
Conservation of Momentum
Momentum in one direction
work-energy-and-power
Work done
Elastic collisions in one dimension
Momentum and Impulse
Work, Energy and Power
Core Pure 1
Core Pure 2
Further Decision 1
Further Mechanics 1
maths
mechanics-1
constant-acceleration
Constant Acceleration formulae 1
Constant Acceleration formulae 2
Displacement-Time Graphs
Velocity-Time Graphs
Vertical Motion due to Gravity
forces-and-motion
Force Diagrams
Forces as Vectors
Pulleys
modelling-with-mechanics
Contructing a model
Modelling assumptions
Constant Acceleration
Forces and Motion
Modelling with Mechanics
Variable Acceleration
pure-1
algebraic-expressions
Expanding Brackets
Factorising
Index Laws
Negitive and fractional indices
Rationalising Denominators
Surds
algebraic-methods
Algebraic Fractions
Dividing Polynomials
Mathematical Proof
Methods of proof
The Factor Theorem
circles
Circles and Triangles
Equation of a Circle
Intersections of Straight Lines and Circles
Midpoints and Perpendicular Bisectors
Using Tangent and Chord Properties
differentiation
Differentiating functions with two or more terms
Differentiating Quadratics
Differentiating xn
Finding the Derivative
Gradients of Curves
Gradients, Tangents and Normal
Increasing and Decreasing Functions
Modelling with Differentiation
Second Order Derivatives
Sketching Gradient Functions
Stationary Points
equations-and-inequalities
Inequalities on Graphs
Linear Inequalities
Linear Simultaneous Equations
Quadratic Inequalities
Quadratic Simultaneous Equations
Regions
Simultaneous Equations on Graphs
exponentials-and-logarithms
Examples
Exponential Functions
Exponential Modelling
Laws of Logarithms
Logarithms
Logarithms and Non-Linear Data
Solving Equations using Logarithms
Working with Natural Logarithms
y = ex
graphs-and-transformations
Cubic Graphs
Examples
Points of Intersection
Quartic Graphs
Reciprocal Graphs
Stretching Graphs
Transforming Functions
Translating Graphs
integration
Areas between curves and lines
Areas under Curves
Areas under the x-axis
Definite Integrals
Finding Functions
Indefinite Integrals
Integrating x to the n
quadratics
Completing the Square
Functions
Modelling with Quadratics
Quadratic Graphs
Solving Quadratic Equations
The Discriminant
straight-line-graphs
Equations of Straight Lines
Length and Area
Modelling with Straight Lines
Parallel and Perpendicular Lines
y=mx+c
the-binomial-expansion
Binomial Estimation
Examples
Factorial Notation
Pascal's Triangle
Solving Binomial Problems
The Binomial Expansion
trigonometric-identities-and-equations
Angles in all four Quadrants
Equations and Identities
Exact Values of Trigonometric Ratios
Harder Trigonometric Equations
Simple Trigonometric Equations
Trigonometric Identities
Trigonometric Identities and equations practice problems
trigonometric-ratios
Areas of Triangles
Graphs of Sine, Cosine, and Tangent
Solving Triangle Problems
The Cosine Rule
The Sine Rule
Transforming Trigonometric Graphs
vectors
Magnitude and Direction
Modelling with Vectors
Position Vectors
Representing Vectors
Solving Geometric Problems
Vectors
Algebraic Expressions
Algebraic Methods
Circles
Differentiation
Equations and Inequalities
Exponentials and Logarithms
Graphs and Transformations
Integration
Quadratics
Straight Line Graphs
The Binomial Expansion
Trigonometric Identities and equations
Trigonometric Ratios
Vectors
pure-2
algebraic-methods
Algebraic Fractions
Partial Fractions
Proof by Contradiction
binomial-expansion
Expanding (1-x) to the n
Expanding (a+bx) to the n
differentiation
Differentiating Exponentials and Logarithms
Differentiating sin(x) and cos(x)
Differentiating Trigonometric Functions
Implicit Differentiation
Parametric Differentiation
Product and Quotient Rules
Rates of Change
The Chain Rule
Using Second Derivatives
functions-and-graphs
Combining Functions
Composite Functions
Functions and Mappings
Inverse Functions
The Modulus Function
y=mod(f(x)) and y = f(mod(x))
integration
Finding Areas
Integrating f(ax+b)
Integrating Standard Functions
Integration by parts
Integration by Substitution
Partial Fractions
Reverse Chain Rule
Solving Differential Equations
The Trapezium Rule
Using Trigonometric Identities
parametric-equations
Parametric Equations
Points of Intersection
Using Trigonometric Identities
radians
Arc Length
Areas of Sectors and Segments
Radian Measure
Small Angle Approximations
Solving Trigonometric Equations
sequences-and-series
Arithmetic Sequences
Arithmetic Series
Geometric Sequences
Geometric Series
trigonometric-functions
Graphs of sec(x), cosec(x) and cot(x)
Inverse Trigonometric Functions
Secant, Cosecant and Cotangent
Trigonometric Identities
Using sec(x), cosec(x), and cot(x)
trigonometry-and-modelling
Addition Formulae
Double-angle formulae
Simplifying a cos(x) +- b sin(x)
underground-maths
Arithmetic Progressions
Reciprocal of Polynomials
vectors
3D Coordinates
Application to Mechanics
Solving Geometric Problems
Algebraic Methods
Binomial Expansion
Differentiation
Functions and Graphs
Integration
Parametric Equations
Radians
Sequences and Series
Trigonometric Functions
Trigonometry and Modelling
Underground Maths
Vectors
statistics-1
data-collection
Big Data HW
Non-random sampling
Populations and Samples
Sampling
The Large Data Set
Types of Data
measures-of-location-and-spread
Coding
Examples
Measures of Central Tendency
Measures of location
Measures of spread
Variance and Standard Deviation
probability
Calculating Probabilities
Mutually Exclusive and Independent Events
Tree Diagrams
Venn Diagrams
Correlation
Data Collection
Hypothetical Testing
Measures of Location and Spread
Probability
Representations of Data
Statistical Distributions
statistics-2
probability
Probability Formulae
regression-correlation-and-hypothesis-testing
Hypothesis testing for zero correlation
Probability
Regression, correlation and hypothesis testing
The Normal Distribution
Mechanics 1
Pure 1
Pure 2
Statistics 1
Statistics 2
physics
year-1
electricity
Circuit Diagrams
Conservation of Energy and Charge in Circuits
Current and Potential Difference
Determining the Resistivity of a Wire
E.M.F and Internal Resistance
I-V Characteristics
Power and Electrical Energy
Resistance
Resistivity
The Potential Divider
electromagnetic-radiation-and-quantum-phenomena
energy-levels-in-atoms
Discrete Energy Levels in Atoms
Electron Transitions
Electrons moving energy levels
Line Absorption Spectra
Line Emmission Spectra
Questions
the-photoelectric-effect
Explaining the Photoelectric Effect
The Photoelectric Effect and Wave Theory
What is the Photoelectric Effect
wave-particle-duality
Electron Diffraction
Electron Microscopes
Is Light a particle or a wave
Questions
Wave Particle Duality Theory
Energy Levels in Atoms
Exam Style Questions
Summary
The Photoelectric Effect
Wave-Particle Duality
materials
Brittle Materials
Density
Hooke's Law
Stress and Strain
Stress-Strain and Force-Extension Graphs
The Young Modulus
mechanics
Acceleration due to Gravity
Acceleration-Time Graphs
Centre of Mass and Moments
Conservation of Energy
Conservation of Momentum
Displacement-Time Graphs
Drag, Lift and Terminal Speed
Force, Momentum and Impulse
Forces in Equilibrium
Moments
Newton's Laws of Motion
Projectile Motion
Scalars and Vectors
Uniform Acceleration
Velocity-Time Graphs
Work and Power
particles-and-radiation
antiparticles-and-photons
Annihilation
Antiparticles
Electromagnetic Radiation
Pair Production
Photons
atomic-structure
Inside the Atom
Isotopes
Nucleon Number
Proton Number
Specific Charge
Uses of Isotopic Data
hadrons-and-leptons
Baryons
Conservation Laws
Hadrons
Leptons
Mesons
particle-interactions
Particle Exchange
Particle interaction diagrams
quarks-and-antiquarks
Antiquarks
Quark composition of Baryons
Quark composition of Mesons
Quark Confinement
Quarks
Searching for particles
Weak Interaction
stable-and-unstable-nuclei
Forces in the Nucleus
Nuclear Decay
The Strong Nuclear Force
strange-particles-and-the-conservation-of-properties
Conservation of Properties
Strange Particles
Antiparticles and Photons
Atomic Structure
Hadrons and Leptons
Particle Interactions
Quarks and Antiquarks
Stable and Unstable Nuclei
Strange Particles and the Conservation of Properties
waves
critical-angle-and-tir
All the Equations
Critical Angle and TIR
Optical Fibres
diffraction-gratings
About Diffraction Gratings
Diffraction Gratings Practical
progressive-waves
Frequency and Period
Wave Basics
refractive-index
Questions
Refractive Index Info
transverse-and-longitudinal-waves
Longitudinal Waves
Polarisation in the real world
Polarised waves
Transverse Waves
wave-speed
Calculating Wave Speed
Electromagnetic Wave Speed in a Vacuum
Measuring the Speed of Sound
Measuring Wave Speed in Water
young-s-double-slit-experiment
Double-Slit Interference of Light
Evidence of the Wave Nature of Light
The Double Slit Formula
Critical Angle and TIR
Diffraction
Diffraction Gratings
Investigating Resonance
Progressive Waves
Refractive Index
Stationary Waves
Superposition and Interference
Transverse and Longitudinal Waves
Two-Source Interference
Wave Speed
Young's Double Slit Experiment
Electricity
Electromagnetic Radiation and Quantum Phenomena
Materials
Mechanics
Particles and Radiation
Waves
year-2
capacitors
Capacitors
Charging and Discharging
Dielectrics
Energy Stored by Capacitors
further-mechanics
Calculations with SHM
Centripetal Force and Acceleration
Circular Motion
Simple Harmonic Motion
The Mass-Spring System as a Simple Harmonic Oscillator
The Simple Pendulum and Other Types of SHO
gravitational-and-electric-fields
Electric Fields
Electric Potential
Exam Style Questions
Fields
Gravitational Fields
Gravitational Potential
Orbits
question 5.2.excalidraw
magnetic-fields
Electromagnetic Induction
Faraday's Law and Lenz's Law
Forces on Charged Particles
Magnetic Flux Density
Transformers
nuclear-physics
Exponential Law of Decay
Mass Defect and Binding Energy
Measuring Nuclear Radius
Nuclear Fission Reactors
Nuclear Radius and Density
Properties of Nuclear Radiation
Rutherford Scattering
Capacitors
Further Mechanics
Gravitational and Electric Fields
Magnetic Fields
Nuclear Physics
Year 1
Year 2
A-Level
Computer Science
dataset.xlsx
Further Maths
Maths
Physics
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uni
csc1031
week-1
Notes
csc1032
week-1
Notes
week-2
Notes
csc1033
week-1
Notes
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Differentiating Quadratics
Differentiating Quadratics
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