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A-Level Maths
AS ONLY
A: Proof
A1. Proof
B: Algebra & Functions
B1. Indices
B2. Surds
B3: Quadratics
B4: Simultaneous Equations
B5: Inequalities
B6: Polynomials
B7: Graphs & Proportion
B9: Graph Transformations
C: Coordinate Geometry
C1: Coordinate Geometry
C2: Circles
D: Sequences & Series
D1: Binomial Expansion
E: Trigonometry
E1: Trigonometry
E3: Trig Graphs
E5: Trigonometric Identities
E7: Trig Equations
F: Exponentials & Logarithms
F1: Exponentials
F2: Exponential Models
F3: Logarithms
F4: Laws of Logarithms
F5: Exponential & Logarithmic Equations
F6: Reduction to Linear Form
F7: Exponential Growth & Decay
G: Differentiation
G1: Differentiation from First Principles
G2: Differentiation
G3: Gradients
H: Integration
H1: Fundamental Theorem of Calculus
H2: Indefinite Integrals
H3: Definite Integrals
J: Vectors
J1: Introducing Vectors
J2: Magnitude & Direction of a Vector
J3: Resultant & Parallel Vectors
J4: Position Vectors
J5: Vector Problems
K: Statistical Sampling
K1: The Large Data Set & Sampling Methods
L: Data Presentation & Interpretation
L1: Box Plots, Cumulative Frequency & Histograms
L2: Scatter Graphs
L3: Central Tendency & Variation
L4: Outliers & Cleaning Data
M: Probability
M1: Venn Diagrams, Tree Diagrams & Two-Way Tables
N: Statistical Distributions
N1: Discrete Random Variables & The Binomial Distribution
O: Hypothesis Testing
O1: Introducing Hypothesis Testing
O2: Binomial Hypothesis Testing
P: Quantities & Units in Mechanics
P1: Quantities & Units in Mechanics
Q: Kinematics
Q1: Displacement, Velocity & Acceleration
Q2: Graphs of Motion
Q3: SUVAT
Q4: Calculus in Kinematics
R: Forces & Newton's Laws
R1: Introducing Forces & Newton's First Law
R2: Newton's Second Law
R3: Weight and Tension
R4: Newton's Third Law and Pulleys
2nd Year ONLY
A: Proof
A1: Proof
B: Algebra & Functions
B6: Polynomials & Rational Expressions
B7: Graphs & Proportion
B8: Functions
B9: Graph Transformations
B10: Algebraic Fractions
B11: Modelling
C: Coordinate Geometry
C3: Parametric Equations
C4: Parametric Equation Modelling
D: Sequences & Series
D1: Binomial Expansion
D2: Sequences
D3: Sigma Notation
D4: Arithmetic Sequences
D5: Geometric Sequences
D6: Modelling with Sequences
E: Trigonometry
E1: Trigonometry
E2: Small Angle Approximation
E3: Trig Graphs
E4: Further Trigonometry
E5: Trigonometric Identities
E6: Compound Angles & Equivalent Forms
E7: Trig Equations
E8: Proving Trigonometric Identities
E9: Trigonometry in Context
G: Differentiation
G1: Differentiation from First Principles
G2: Differentiation
G3: Gradients
G4: Further Differentiation
G5: Implicit Differentiation & Parametric Differentiation
G6: Forming Differential Equations
H: Integration
H2: Indefinite Integrals
H3: Definite Integrals & Parametric Integration
H4: Integration as the Limit of a Sum
H5: Further Integration
H6: Integration with Partial Fractions
H7: Differential Equations
H8: Differential Equations in Context
I: Numerical Methods
I1: The Change of Sign Method
I2: The x=g(x) Method & The Newton-Raphson Method
I3: Numerical Integration
I4: Numerical Methods in Context
J: Vectors
J1: Introducing Vectors
J2: Magnitude & Direction of a Vector
J5: Vector Problems
M: Probability
M2: Conditional Probability
M3: Modelling with Probability
N: Statistical Distributions
N2: The Normal Distribution
N3: Appropriate Distributions
O: Hypothesis Testing
O1: Introducing Hypothesis Testing
O3: Sample Means Hypothesis Testing
P: Quantities & Units in Mechanics
P1: Quantities & Units in Mechanics
Q: Kinematics
Q3: SUVAT
Q4: Calculus in Kinematics
Q5: Projectiles
R: Forces and Newton's Laws
R1: Introducing Forces & Newton's First Law
R2: Newton's Second Law
R4: Newton's Third Law and Pulleys
R5: F=ma & Differential Equations
R6: The Coefficient of Friction
S: Moments
S1: Moments
FULL A-Level
A: Proof
A1: Proof
B: Algebra & Functions
B1: Indices
B2: Surds
B3: Quadratics
B4: Simultaneous Equations
B5: Inequalities
B6: Polynomials & Rational Expressions
B7: Graphs & Proportion
B8: Functions
B9: Graph Transformations
B10: Algebraic Fractions
B11: Modelling
C: Coordinate Geometry
C1: Coordinate Geometry
C2: Circles
C3: Parametric Equations
C4: Parametric Equation Modelling
D: Sequences & Series
D1: Binomial Expansion
D2: Sequences
D3: Sigma Notation
D4: Arithmetic Sequences
D5: Geometric Sequences
D6: Modelling with Sequences
E: Trigonometry
E1: Trigonometry
E2: Small Angle Approximation
E3: Trig Graphs
E4: Further Trigonometry
E5: Trigonometric Identities
E6: Compound Angles & Equivalent Forms
E7: Trig Equations
E8: Proving Trigonometric Identities
E9: Trigonometry in Context
F: Exponentials & Logarithms
F1: Exponentials
F2: Exponential Models
F3: Logarithms
F4: Laws of Logarithms
F5: Exponential & Logarithmic Equations
F6: Reduction to Linear Form
F7: Exponential Growth & Decay
G: Differentiation
G1: Differentiation from First Principles
G2: Differentiation
G3: Gradients
G4: Further Differentiation
G5: Implicit Differentiation & Parametric Differentiation
G6: Forming Differential Equations
H: Integration
H1: Fundamental Theorem of Calculus
H2: Indefinite Integrals
H3: Definite Integrals & Parametric Integration
H4: Integration as the Limit of a Sum
H5: Further Integration
H6: Integration with Partial Fractions
H7: Differential Equations
H8: Differential Equations in Context
I: Numerical Methods
I1: The Change of Sign Method
I2: The x=g(x) Method & The Newton-Raphson Method
I3: Numerical Integration
I4: Numerical Methods in Context
J: Vectors
J1: Introducing Vectors
J2: Magnitude & Direction of a Vector
J3: Resultant & Parallel Vectors
J4: Position Vectors
J5: Vector Problems
K: Statistical Sampling
K1: The Large Data Set & Sampling Methods
L: Data Presentation & Interpretation
L1: Box Plots, Cumulative Frequency & Histograms
L2: Scatter Graphs
L3: Central Tendency & Variation
L4: Outliers & Cleaning Data
M: Probability
M1: Venn Diagrams, Tree Diagrams & Two-Way Tables
M2: Conditional Probability
M3: Modelling with Probability
N: Statistical Distributions
N1: Discrete Random Variables & The Binomial Distribution
N2: The Normal Distribution
N3: Appropriate Distributions
O: Hypothesis Testing
O1: Introducing Hypothesis Testing
O2: Binomial Hypothesis Testing
O3: Sample Means Hypothesis Testing
P: Quantities & Units in Mechanics
P1: Quantities & Units in Mechanics
Q: Kinematics
Q1: Displacement, Velocity & Acceleration
Q2: Graphs of Motion
Q3: SUVAT
Q4: Calculus in Kinematics
Q5: Projectiles
R: Forces and Newton's Laws
R1: Introducing Forces & Newton's First Law
R2: Newton's Second Law
R3: Weight & Tension
R4: Newton's Third Law and Pulleys
R5: F=ma & Differential Equations
R6: The Coefficient of Friction
S: Moments
S1: Moments
Revision Tips Videos
Enrolment Work
Teaching Order Year 1
101&116: Linear Graphs
a. Introducing Coordinate Geometry
b. Finding the Midpoint
c. Finding the Distance between Two Points
d. Finding the Gradient
e. The Equation of a Line
f. Parallel & Perpendicular Lines
g. Sketching Linear Graphs
h. Perpendicular Bisectors
i. Intersection of Lines
j. An Application of Linear Graphs
102&111: Quadratic Graphs
a. The Difference of Two Squares
b. Factorising Quadratics
c. Sketching Quadratics from Factorised Form
d. Completing the Square
e. Sketching Quadratics from Completed Square Form
f. Solving Quadratics
g. Using the Discriminant
h. Using the Quadratic Formula
i. Sketching Quadratics using the Quadratic Formula
j. Using Quadratic Methods for Solving
103-104: Indices
103-104: Surds
a. Simplifying Surds
b. Rationalising the Denominator
105-107: Exponentials and Logarithms
a. Introducing Exponentials
b. Asymptotes
c. Introducing Logarithms
d. Laws of Logarithms
e. Solving Basic Exponential Equations
f. Solving More Complicated Exponential Equations
g. Solving an Inequality Problem
108: e^x and ln(x)
a. Introducing e
b. The Natural Logarithm
c. The Laws of Logarithms
d. Exponential Equations
e. Logarithmic Equations
f. The Gradient Function of e^(kx)
109-110: Exponential Growth & Decay
112-113: Polynomials
a. Introducing Polynomials
b. Polynomial Division
c. The Factor Theorem
114: Graph Sketching
a. Sketching Polynomials
b. Reciprocal Graphs
c. Finding Points of Intersection
d. Direct & Inverse Proportion
115: Graph Transformations
a. An Investigation into Transformations
b. Translations
c. Stretches
d. Reflections
e. Examples of Transformations
117-118: Equation of a Circle
a. The Equation of a Circle
b. Sketching Circles
c. Completing the Square
d. Intersections with Circles
e. Circle Theorems
f. Perpendicular Bisectors
g. Tangents & Normals
119-120: Reduction to Linear Form
121-122: Inequalities
a. Introducing Inequalities, Set Notation and Interval Notation
b. Linear Inequalities
c. Quadratic Inequalities
d. Discriminant Inequalities
e. More Inequalities
f. Representing Inequalities Graphically
123: Differentiation from First Principles
124: Graphs of Motion
a. Position vs Displacement vs Distance
b. Velocity vs Speed
c. Acceleration and Deceleration
d. Displacement / Time Graphs
e. Velocity / Time Graphs
f. Acceleration / Time Graphs
g. Graphs of Motion
125-126: Constant Acceleration - 1D SUVAT
a. Deriving the SUVAT formulae
b. Using the SUVAT formulae
c. Gravity
d. More Complicated SUVAT Problems
127: Differentiating x^n
128: Differentiation - Tangents & Normals
129: Differentiation - Stationary Points
130-131: Second Derivatives and Points of Inflection
a. Increasing / Decreasing
b. The Second Derivative Test
c. Types of Stationary Point
d. Convex & Concave
e. Points of Inflection
132: Differentiation - Optimisation
133: Linear Regression & PMCC
a. Bivariate Data
b. The Product Moment Correlation Coefficient
c. Regression Lines
d. Interpolation vs Extrapolation
134-135: Probability
a. Basic Probability Concepts and Notation
b. Venn Diagrams
c. Independent & Mutually Exclusive Events
d. Conditional Probability
e. Tree Diagrams
f. Two-Way Tables
g. Histograms
h. More Conditional Probability
136: Mean and Standard Deviation
a. Ungrouped Data
b. Grouped Data
c. Comparing Data Sets
d. Variance and Standard Deviation
137: Outliers and Using Statistical Diagrams
a. Linear Coding
b. Identifying Outliers
c. Critiquing & Cleaning Data
d. Box Plots / Box and Whisker Diagrams
e. Cumulative Frequency Curves
f. Histograms
138-139: Pascal's Triangle, nCr & Binomial Expansion
a. The Factorial Function
b. Pascal's Triangle
c. Algebra Problems with nCr
d. Binomial Expansion
e. Finding a Coefficient
f. Approximating using Binomial Expansion
140: Discrete Random Variables
a. Introducing Discrete Random Variables
b. Discrete Random Variables as Algebraic Functions
141: Binomial Distribution
142-143: Binomial Hypothesis Testing
a. Introducing Hypothesis Testing
b. Binomial Hypothesis Testing
c. The Critical Region Method
###: Sampling Methods & The Large Data Set
a. Sampling Methods
b. The Large Data Set
144: Integration
a. Integrating x^n
b. Finding the Constant of Integration
145 & 147: Integration - Finding Areas
a. The Fundamental Theorem of Calculus
b. Finding Areas
c. Definite Integrals
d. Areas Between Two Curves
146: The Trapezium Rule
148-149: 1D Variable Acceleration
150: Proof
a. Introduction to Proof
b. Proof by Exhaustion
c. Proof by Deduction
d. Disprove by Counter-Example
151: Basic Trigonometry
a. SOHCAHTOA
b. The Sine Rule
c. The Cosine Rule
d. The Area of a Triangle
152: Radians, Sectors & Arc Length
a. Radians
b. Arc Length
c. Sector Area
153: Vectors
a. Introducing Vectors
b. The Magnitude & Direction of a 2D Vector
c. The Angle Between Two Vectors
d. Resultant Vectors
e. Parallel and Unit Vectors
f. Collinear Points
g. Position Vectors
h. Vector Problems
154-157: Forces & Newton's Laws
a. Introducing Forces
b. Force Diagrams
c. Resultant Forces
d. Newton's First Law
e. Newton's Second Law
f. Working with the SUVAT Equations
g. Weight & Tension
h. Newton's Third Law
i. Lifts and Scale Pans
158-162: Trigonometry
a. Trig Graphs
b. Trigonometric Identities
c. Basic Trigonometric Equations
d. Quadratic Trigonometric Equations
e. Using tan(x) = sin(x) / cos(x)
f. Trigonometric Equations with Transformations
g. More Quadratic Trigonometric Equations
h. Using sin^2(x) + cos^2(x) = 1
i. sin(x) and cos(x) as Transformations of one another
163: Coefficient of Friction
164-165: Blocks / Pulleys on a Slope
Teaching Order Year 2
201-203: Domain, Range & Composite Functions
a. What is a Function?
b. The Domain and Range of a Function
c. One-to-One, Many-to-One, One-to-Many, Many-to-Many
d. Restricting the Domain
e. Even & Odd Functions
f. Set Notation and Interval Notation for Domain & Range
g. Composite Functions
204: Graph Transformations
205: Inverse Functions
206: Modulus Functions
209-210,213-214: Sequences and Series
a. GCSE Sequences Revision
b. Inductive Definitions & Recurrence Relations
c. Describing Sequences
d. Sigma Notation
e. Arithmetic Sequences
f. Arithmetic Series
g. Geometric Sequences
h. Geometric Series
i. Sum to Infinity
j. Modelling with Sequences
211-212: Moments
a. Introducing Moments
b. Centre of Mass
c. Equilibrium of a Rigid Body
d. Tilting
215: Inverse Trigonometric Functions
216-217: sec(x), cosec(x) & cot(x)
a. Introducing & Sketching cosec(x), sec(x) & cot(x)
b. Trigonometric Identities
c. Solving Trigonometric Equations
218: Compound Angle Formulae
219-220: Double Angle Formulae
221-222: Differentiating Standard Functions & The Chain Rule
a. Differentiating Standard Functions
b. The Chain Rule
223: Differentiation - Connected Rates of Change
224: Differentiation - The Product Rule
225: Differentiation - The Quotient Rule
227-228: Implicit Differentiation
229: Reversing the Chain Rule
230-231: Integration by Substitution
232-233: Integration by Parts
a. Integration by Parts Once
b. Integrating ln(x)
c. Integration by Parts Twice
d. Tabular Method for Integration by Parts
e. Further Integration
234-235: Partial Fractions
a. Simplifying Algebraic Fractions
b. Adding and Subtracting Algebraic Fractions
c. Simplifying using Polynomial Division
d. Introducing Partial Fractions
e. Repeated Factors
f. Extensions
g. Partial Fractions with Binomial Expansion & Integration
237-239: Numerical Methods
a. The Change of Sign Method
b. The x = g(x) Method
c. The Newton-Raphson Method
240-242: Differential Equations
a. Solving Differential Equations
b. Differential Equations in Context
c. Forming Differential Equations
243: 2D SUVAT
244: 2D Variable Acceleration
245-246: Projectiles
a. Introduction to Projectiles
b. Projectiles from the Ground - SUVAT method
c. Projectiles from a Height - SUVAT method
d. Derive a Formula for Maximum Height & Distance - SUVAT method
e. Projectiles from the Ground - Integration method
f. Projectiles from a Height - Integration method
g. Derive a Formula for Maximum Height & Distance - Integration method
247-248: Binomial Expansion
a. Extending Binomial Expansion
b. The Range of Validity
249: 3D Vectors
a. Introducing 3D Vectors
b. The Magnitude of a 3D Vector
c. The Angle Between Two 3D Vectors
d. Vector Problems
250-251: Trigonometry - Harmonic Forms Rsin(θ + α), Rcos(θ + α)
252: Small Angle Approximation
253-255: The Normal Distribution
a. Introducing the Normal Distribution
b. Finding Probabilities
c. The Inverse Normal
d. Normal to Binomial & Normal to Histogram
e. Approximating the Binomial Distribution
f. Points of Inflection of the Normal Distribution
256: Parametric Equations
a. Introducing Parametric Equations
b. Cartesian to Parametric
c. Graphing Parametric Curves
d. Parametric to Cartesian
e. Ellipses
f. Modelling with Parametric Equations
257-259: Parametric Differentiation & Integration
a. Parametric Differentiation
b. Parametric Integration
260: Proof by Contradiction
261: Sample Means Hypothesis Testing
a. Sample Means & Standard Errors
b. Hypothesis Testing
262: PMCC Hypothesis Testing
Casio Classwiz How To
Bumper Book of Integrals
A-Level Further Maths
PURE
A: Proof
A1: Proof by Induction
B: Complex Numbers
B1: Introducing Complex Numbers
B2: Working with Complex Numbers
B3: Complex Conjugates
B4: Introducing the Argand Diagram
B5: Introducing Modulus-Argument Form
B6: Multiply and Divide in Modulus-Argument Form
B7: Loci with Argand Diagrams
B8: De Moivre's Theorem
B9: z = re^(iθ)
B10: nth Roots of Unity
B11: Geometrical Problems
C: Matrices
C1: Introducing Matrices
C2: The Zero & Identity Matrices
C3: Matrix Transformations
C4: Invariance
C5: Determinants
C6: Inverse Matrices
C7: Simultaneous Equations
C8: Geometrical Interpretation
AQA C9: Factorising Determinants
AQA C10: Eigenvalues and Eigenvectors
AQA C11: Diagonalisation
EXTRA PURE C12: Cayley-Hamilton Theorem
D: Further Algebra & Functions
D1: Roots of Polynomials
D2: Forming New Equations
D3: Summations
D4: Method of Differences
D5: Introducing Maclaurin Series
D6: Standard Maclaurin Series
AQA D7: Limits and l'Hôpital's Rule
AQA D8: Polynomial Inequalities
AQA D9: Rational Function Inequalities
AQA D10: Modulus of Functions
AQA D11: Reciprocal Graphs
AQA D12: Linear Rational Functions
AQA D13: Quadratic Rational Functions
AQA D14: Discriminants
AQA D15: Conic Sections
AQA D16: Transformations
E: Further Calculus
E1: Improper Integrals
E2: Volumes of Revolution
E3: Mean Value
E4: Partial Fractions
E5: Differentiating Inverse Trig
E6: Integrals of the form (a^2-x^2)^(-½) and (a^2+x^2)^(-1)
AQA E7: Arc Length and Sector Area
AQA E8: Reduction Formulae
AQA E9: Limits
F: Further Vectors
F1: Equations of Lines
F2: Equations of Planes
F3: The Scalar Product
F4: Perpendicular Vectors
F5: Intersections
F6: The Vector Product
G: Polar Coordinates
G1: Polar Coordinates
G2: Polar Curves
G3: Polar Integration
H: Hyperbolic Functions
H1: Hyperbolic Functions
H2: Hyperbolic Calculus
H3: Hyperbolic Inverse
H4: Hyperbolic Inverse
H5: Hyperbolic Integration
AQA H6: Hyperbolic Identities
AQA H7: Hyperbolic Identities
I: Differential Equations
I1: 1st Order Differential Equations - Integrating Factors
I2: 1st Order Differential Equations - Particular Solutions
I3: Modelling
I4: 2nd Order Homogeneous Differential Equations
I5: 2nd Order Non-Homogeneous Differential Equations
I6: 2nd Order Non-Homogeneous Differential Equations
I7: Simple Harmonic Motion
I8: Damped Oscillations
I9: Systems of Differential Equations
AQA I10: Hooke's Law
AQA I11: Damping Force
J: Numerical Methods
AQA J1: Mid-Ordinate Rule & Simpson's Rule
AQA J2: Euler's Step by Step Method
AQA J3: Euler's Improved Step by Step Method
OCR MEI Modelling with Algorithms
A: Tracing an Algorithm
B: Bin Packing
C: Sorting Algorithms
D: Graph Theory
E: Minimum Spanning Trees
F: Dijkstra's Algorithm
G: Critical Path Analysis
H: Network Flows
I: Linear Programming
J: Simplex Algorithm
K: LP Solvers
OCR MEI Statistics a / Minor
A: PMCC
B: Linear Regression
C: PMCC Hypothesis Testing
D: Spearman’s Rank
E: Chi-Squared Contingency Table Tests
F: Discrete Random Variables
G: Discrete Uniform Distributions
H: Geometric Distributions
I: Binomial Distribution
J: Poisson Distribution
K: Goodness of Fit Tests
Teaching Order Year 1
01: Core Pure - Matrices: Basics
a. Introducing Matrices
b. The Zero & Identity Matrices
02: Core Pure - Matrices: 2D Transformations
03: Core Pure - Matrices: Invariant Points
04: Core Pure - Matrices: 3D Transformations
05: Modelling with Algorithms - Algorithms and Bin Packing
a. Tracing an Algorithm
b. Bin Packing
06: Modelling with Algorithms - Sorting Algorithms
07: Modelling with Algorithms - Graph Theory
08: Modelling with Algorithms - Kruskal's, Prim's & Dijkstra's Algorithms
a. Minimum Spanning Trees
b. Dijkstra's Algorithm
09: Core Pure - Complex Numbers: Basics
a. Introducing Complex Numbers
b. Working with Complex Numbers
c. Complex Conjugates
10: Core Pure - Complex Numbers: Argand Diagrams
a. Introducing the Argand Diagram
b. Introducing Modulus-Argument Form
c. Multiply and Divide in Modulus-Argument Form
d. Loci with Argand Diagrams
11: Modelling with Algorithms - Critical Path Analysis
12: Modelling with Algorithms - Network Flows
13: Modelling with Algorithms - Graphical Linear Programming
14: Modelling with Algorithms - LP Solver: Shortest Path, CPA, Network Flow
15: Modelling with Algorithms - Simplex Algorithm
16: Modelling with Algorithms - LP Solver: Matching, Transportation Problem
17: Core Pure - Series: Using Formulae
18: Core Pure - Series: Method of Differences
19: Core Pure - Matrices: Inverses, Singular Matrices, Simultaneous Equatio
a. Determinants
b. Inverse Matrices
c. Simultaneous Equations
20: Core Pure - Matrices: Invariant Lines
21: Core Pure - Roots of Polynomials
a. Roots of Polynomials
b. Forming New Equations
22: Core Pure - Proof by Induction: Series
23: Core Pure - Proof by Induction: Sequences
24: Core Pure - Proof by Induction: Matrices
25: Core Pure - Vectors: Scalar Product
a. The Scalar Product
b. Perpendicular Vectors
26: Core Pure - Vectors: Planes
a. Geometrical Interpretation
b. Equations of Planes
27: Statistics - PMCC
28: Statistics - Linear Regression
29: Statistics - PMCC Hypothesis Testing
30: Statistics - Spearman's Rank Correlation Coefficient
31: Statistics - Chi-Squared Contingency Table Tests
32: Statistics - Discrete Random Variables
33: Statistics - Discrete Uniform Distribution
34: Statistics - Geometric Distribution
Teaching Order Year 2
01: Core Pure - Polar Curves
a. Polar Coordinates
b. Polar Curves
02: Core Pure - Vectors: Lines
a. Lines
b. Intersections
03: Core Pure - Matrices: Determinant and Inverse of a 3x3 Matrix
a. Determinants
b. Inverse Matrices
c. Simultaneous Equations
11: Core Pure - Vectors: Vector Product
12: Core Pure - Proof by Induction: Divisibility
13: Core Pure - Complex Numbers: De Moivre's Theorem & Roots of Unity
a. De Moivre's Theorem
b. z = re^(iθ)
c. nth Roots of Unity
d. Geometrical Problems
14: Core Pure - Partial Fractions & Series
a. Method of Differences with Partial Fractions
b. Partial Fractions
15: Core Pure - Calculus: Improper Integrals
16: Core Pure - Calculus: Mean Value
17: Core Pure - Calculus: Volumes of Revolution
18: Core Pure - Calculus: Areas with Polar Curves
19: Core Pure - Calculus: Inverse Trig Functions
a. Differentiating Inverse Trig
b. Integrals of the form (a^2-x^2)^(-½) and (a^2+x^2)^(-1)
20: Core Pure - Hyperbolic Functions
a. Hyperbolic Functions
b. Hyperbolic Calculus
c. Hyperbolic Inverse
d. More Hyperbolic Inverse
e. Hyperbolic Integration
21: Core Pure - Series: Maclaurin Series
a. Introducing Maclaurin Series
b. Standard Maclaurin Series
22: Core Pure - Differential Equations: First Order
a. Integrating Factors
b. Particular Solutions
c. Modelling
23: Core Pure - Differential Equations: Second Order
a. 2nd Order Homogeneous Differential Equations
b. 2nd Order Non-Homogeneous Differential Equations
c. Examples
24: Core Pure - Differential Equations: Damped Simple Harmonic Motion
a. Simple Harmonic Motion
b. Damped Oscillations
25: Core Pure - Differential Equations: Systems of DEs
Core Maths Level 3 Certificate
Core Maths Resources
Teaching Videos
AQA Mathematical Studies Paper 1
AQA Mathematical Studies Paper 2A
Basics
GCSE to A-Level Maths Bridging the Gap
Legacy A-Level Maths 2004
AQA C1
1. Coordinate Geometry
2. Surds
3. Quadratics
4. Inequalities
5. Polynomials
6: Equations of Circles
7: Differentiation
8: Integration
AQA C2
1. Indices
2. Differentiation & Integration
3. Logarithms
4. Graph Transformations
5. Sequences & Series
6: Binomial Expansion
7: Trigonometry 1
8: Trigonometry 2
AQA C3
1. Exponentials & Logarithms
2. Functions
3. Modulus Functions
4. Graph Transformations
5. Trigonometry
6. Differentiation
7. Integration
8. Solids of Revolution
9. Numerical Methods
AQA C4
1. Partial Fractions
2. Parametric Equations
3. Binomial Expansion
4. Trigonometry
5. Differential Equations
6. Implicit Equations
7. Vectors
AQA D1
1. Tracing an Algorithm
2. Sorting Algorithms
3. Graph Theory
4. Kruskal's Algorithm & Prim's Algorithm
5. Dijkstra's Algorithm
6. Bipartite Graphs
7. Chinese Postman Algorithm
8. The Travelling Salesperson Problem
9. Linear Programming
AQA S1
1. Mean & Standard Deviation
2. Probability
3. Binomial Probability
4. The Normal Distribution
5. Central Limit Theorem & Estimation
6. Confidence Intervals
7. Linear Regression
8. The Product Moment Correlation Coefficient
OCR MEI C1
1. Surds
2. Coordinate Geometry
3. Quadratics
4. Inequalities
5. Indices
6. Translations
7. Polynomials
8. Binomial Expansion
9. Equations of Circles
10. Proof
OCR MEI C2
1. Exponentials & Logarithms
2. Trigonometry 1
3. Differentiation 1
4. The Trapezium Rule & Integration
5. Sequences & Series
6. Graph Transformations
7. Trigonometry 2
8. Differentiation 2
OCR MEI C3
1. Exponentials & Logarithms
2. Functions
3. Modulus Functions
4. Differentiation Rules
5. Differentiating Functions
6. Implicit Differentiation
7. Integration
8. Proof
OCR MEI C4
1. Trigonometry
2. Parametric Equations
3. Binomial Expansion
4. Vectors
5. Partial Fractions
6. Differential Equations
7. The Trapezium Rule & Volumes of Revolution
8. Comprehension
OCR MEI S1
1. Probability
2. Mean & Standard Deviation
3. Discrete Random Variables
4. Permutations & Combinations
5. Binomial Probabilities
6. Hypothesis Testing
7. GCSE Recap & Odd and Ends
OCR MEI S2
1. Correlation & Regression
2. The Poisson Distribution
3. The Normal Distribution
4. The Chi-Squared Contingency Table Test
Legacy GCSE Maths Foundation
01. Addition, Subtraction, Multiplication & Division
02. Rounding & Negative Numbers
03. Fractions
04. Primes, Factors, Multiples, Squares, Cubes & Reciprocals
05. Fractions, Decimals & Percentages
06. Time, Money, Best Buys, Currency Exchange & Simple Interest
07. Ratio & Speed, Distance, Time
08. Types of Data, Questionnaires & Bar Charts
09. Mean, Median, Mode & Range
10. Pie Charts & Stem and Leaf Diagrams
11. Frequency Polygons, Histograms & Scatter Graphs
12. Probability
13. Algebraic Expressions
14. Solving Equations & Trial and Improvement
15. Coordinates & Plotting Graphs
16. Sequences & Inequalities
17. Angles & Parallel Lines
18. Triangles & Symmetry
19. Quadrilaterals, Polygons & Tessellation
20. Bearings & Constructions
21. Circles
22. Compound Shapes, 3D Shapes, Elevations & Nets
23. Translations, Reflections, Rotations & Enlargement
24. Pythagoras' Theorem & Metric to Imperial Conversion
TLMaths
N: Statistical Distributions
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FULL A-Level
> N: Statistical Distributions
N1: Discrete Random Variables & The Binomial Distribution
N2: The Normal Distribution
N3: Appropriate Distributions
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