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A-Level Notes
A-Level Notes
fp2
FP2 — Further Pure 2
FP2 Chapter 1: Inequalities
FP2 Chapter 2: Series — Method of Differences
FP2 Chapter 3: Complex Numbers and de Moivre's Theorem
FP2 Chapter 4: Further Argand Diagrams
FP2 Chapter 5: First-Order Differential Equations
FP2 Chapter 6: Second-Order Differential Equations
FP2 Chapter 7: Maclaurin and Taylor Series
FP2 Chapter 8: Polar Coordinates
fp3
FP3 — Further Pure 3
FP3 Chapter 1: Hyperbolic Functions
FP3 Chapter 2: Further Coordinate Systems
FP3 Chapter 3: Differentiation
FP3 Chapter 4: Integration
FP3 Chapter 5: Vectors
FP3 Chapter 6: Further Matrix Algebra
m2
M2 — Mechanics 2
M2 Lecture Notes: A Historical Journey through Mechanics
M2 Mechanics: Kinematics of Motion in Two Dimensions
M2 Mechanics: Statics — Centres of Mass and Equilibrium
M2 Mechanics: Work, Energy, Impulses and Collisions
s2
S2 — Statistics 2
S2 Chapter 1: The Binomial Distribution
S2 Chapter 2: The Poisson Distribution
S2 Chapter 3: Approximations and the Central Limit Theorem
S2 Chapter 4: Continuous Random Variables
S2 Chapter 5: The Uniform Distribution
S2 Chapter 6: Sampling Distributions
S2 Chapter 7: Hypothesis Testing
s3
S3 — Statistics 3
S3 Chapter 1: Sampling Methods
S3 Chapter 2: Combinations of Random Variables
S3 Chapter 3: Estimation and Confidence Intervals
S3 Chapter 4: Central Limit Theorem and Comparing Means
S3 Chapter 5: Correlation and Rank
S3 Chapter 6: Goodness of Fit and Contingency Tables
S3 Chapter 7: International Exam Review
TMUA Handouts
TMUA Handouts
A1 Algebra Basics
A2 Equations and Inequalities
A3 Exponents and Logarithms
B Mathematical Logic Basics
C Sequences and Series
D Coordinate Geometry
E Trigonometry
F Differentiation
G Integration
H Logic and Counterexamples
I Functions and Graphs
J Sets and Probability
K Number Theory and Combinatorics
L Proof Methods
M Comprehensive Training
N Mock Exam Sprint
History of Math
History of Mathematics
Lecture 1: The Pythagorean Theorem
Lecture 2: The Foundations of Greek Geometry
Lecture 3: Greek Number Theory and Arithmetic
Lecture 4: The Concept of Infinity in Greek Mathematics
Lecture 5: The Wisdom of Number Theory in the East—China and India
Lecture 6: The Algebraic Breakthrough—Solving the Cubic and Quartic
Lecture 7: The Birth of Analytic Geometry—The Marriage of Algebra and Geometry
Lecture 8: Projective Geometry—Perspective, Invariants, and Points at Infinity
Lecture 8: Surface Curvature and the Catenoid
Lecture 9: Calculus—From Exhaustion to Rules of Calculation
Lecture 10: Infinite Series - From Infinite Sums to a Language of Functions
Lecture 11: The Number Theory Revival - From Diophantus to Fermat
STEP
STEP
pure-notes
STEP Pure Notes
A1 Polynomial Roots and Factors
A2.1 Vieta and Symmetric Information
A2.2 Solving Equations as Breaking Symmetry
STEP Lecture Outline
STEP2 1998 -- Pure Mathematics
STEP2 1999 -- Pure Mathematics
STEP2 2000 -- Pure Mathematics
STEP2 2001 -- Pure Mathematics
STEP2 2002 -- Pure Mathematics
STEP2 2003 -- Pure Mathematics
STEP2 2004 -- Pure Mathematics
STEP2 2005 -- Pure Mathematics
STEP2 2006 -- Pure Mathematics
STEP2 2007 -- Pure Mathematics
STEP2 2008 -- Pure Mathematics
STEP2 2009 -- Pure Mathematics
STEP2 2010 -- Pure Mathematics
STEP2 2011 -- Pure Mathematics
STEP2 2012 -- Pure Mathematics
STEP2 2013 -- Pure Mathematics
STEP2 2014 -- Pure Mathematics
STEP2 2015 -- Pure Mathematics
STEP2 2016 -- Pure Mathematics
STEP2 2017 -- Pure Mathematics
STEP 2 2018 -- Pure Mathematics
STEP2 2019 -- Pure Mathematics
STEP2 2020 -- Pure Mathematics
STEP2 2021 -- Pure Mathematics
STEP2 2022 -- Pure Mathematics
STEP2 2023 -- Pure Mathematics
STEP2 2024 -- Pure Mathematics
STEP2 2025 -- Pure Mathematics
STEP3 1998 -- Pure Mathematics
STEP3 1999 -- Pure Mathematics
STEP3 2000 -- Pure Mathematics
STEP3 2001 -- Pure Mathematics
STEP3 2002 -- Pure Mathematics
STEP3 2003 -- Pure Mathematics
STEP3 2004 -- Pure Mathematics
STEP3 2005 -- Pure Mathematics
STEP3 2006 -- Pure Mathematics
STEP3 2007 -- Pure Mathematics
STEP3 2008 -- Pure Mathematics
STEP3 2009 -- Pure Mathematics
STEP3 2010 -- Pure Mathematics
STEP3 2011 -- Pure Mathematics
STEP3 2012 -- Pure Mathematics
STEP3 2013 -- Pure Mathematics
STEP3 2014 -- Pure Mathematics
STEP3 2015 -- Pure Mathematics
STEP3 2016 -- Pure Mathematics
STEP3 2017 -- Pure Mathematics
STEP3 2018 -- Pure Mathematics
STEP3 2019 -- Pure Mathematics
STEP3 2020 -- Pure Mathematics
STEP3 2021 -- Pure Mathematics
STEP3 2022 -- Pure Mathematics
STEP3 2023 -- Pure Mathematics
STEP3 2024 -- Pure Mathematics
STEP3 2025 -- Pure Mathematics
Teaching Blog
Teaching Blog
After Using AI to Write Handouts, I Nearly Forgot How to Teach
How I Prepared a History of Mathematics Course
From Mathpix to Agent: An AI Tool Pipeline for a Math Teacher
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M2 — Mechanics 2
M2 — Mechanics 2
Section titled “M2 — Mechanics 2”
Edexcel M2 (Mechanics 2), covering kinematics, statics, work, energy, and collisions.
Introduction: A Historical Journey through Mechanics
Kinematics
Statics
Work, Energy and Collisions