Edexcel International Advanced Level (IAL) Maths Study Notes - New Syllabus
Edexcel International Advanced Level (IAL) Maths Study Notes
Edexcel IAL Maths Study Notes at IITian Academy focus on the specific topics and question styles seen in real exams. Notes are aligned to the latest syllabus for assessment from 2025.
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Edexcel International Advanced Level (IAL) Pure Mathematics 1 Study Notes
Unit 1: Algebra and Functions
- 1.1 Laws of Indices for Rational Exponents
- 1.2 Use and Manipulation of Surds
- 1.3 Quadratic Functions and Their Graphs
- 1.4 The Discriminant of a Quadratic Function
- 1.5 Completing the Square and Solving Quadratic Equations
- 1.6 Solving Simultaneous Equations by Substitution
- 1.7 Graphical Interpretation of Linear and Quadratic Inequalities
- 1.8 Graphical Representation of Inequality Solutions
- 1.9 Solutions of Linear and Quadratic Inequalities
- 1.10 Algebraic Manipulation of Polynomials
- 1.11 Graphs of Functions and Algebraic Solutions Using Intersection Points
- 1.12 Transformations of the Graph of y=f(x)
Unit 2: Coordinate Geometry
Edexcel International Advanced Level (IAL) Pure Mathematics 2 Study Notes
Unit 5: Exponentials and Logarithms
Edexcel International Advanced Level (IAL) Pure Mathematics 3 Study Notes
Unit 3: Exponential and Logarithms
- 3.1 The function ex and its graph
- 3.2 The function ln x and its graph
- 3.3 Use logarithmic graphs to estimate parameters
Edexcel International Advanced Level (IAL) Pure Mathematics 4 Study Notes
Unit 5: Differentiation
Edexcel International Advanced Level (IAL) Further Pure Mathematics 1 Study Notes
Unit 2: Roots of Quadratic Equations
Unit 3: Numerical Solution of Equations
Edexcel International Advanced Level (IAL) Further Pure Mathematics 2 Study Notes
Unit 4: First Order Differential Equations
- 4.1 Separable First Order Differential Equations
- 4.2 First Order Linear Differential Equations
- 4.3 Differential Equations by Substitution
Unit 5: Second Order Differential Equations
Unit 6: Maclaurin and Taylor Series
- 6.1 Higher Order Derivatives
- 6.2 Maclaurin Series
- 6.3 Taylor Series
- 6.4 Series Solutions of Differential Equations
Edexcel International Advanced Level (IAL) Further Pure Mathematics 3 Study Notes
Unit 4: Integration
- 4.1 Integration of Hyperbolic Functions
- 4.2 Integration of Inverse Trigonometric and Hyperbolic Functions
- 4.3 Integration Using Hyperbolic and Trigonometric Substitution
- 4.4 Substitution for Integrals with Quadratic Surds
- 4.5 Reduction Formulae
- 4.6 Arc Length and Surface Area of Revolution
Unit 6: Further Matrix Algebra
- 6.1 Linear Transformations in Two and Three Dimensions
- 6.2 Matrix Products and Transformation Combinations
- 6.3 Transpose of a Matrix
- 6.4 Determinants of 3 × 3 Matrices
- 6.5 Inverse of 3 × 3 Matrices
- 6.6 Inverse of Combined Transformations
- 6.7 Eigenvalues and Eigenvectors of 2 × 2 and 3 × 3 Matrices
- 6.8 Diagonalisation of Symmetric Matrices
Edexcel International Advanced Level (IAL) Mechanics 1 Study Notes
Unit 5: Statics of a Particle
- 5.1 Forces as Vectors and Resolution of Forces
- 5.2 Equilibrium of a Particle
- 5.3 Coefficient of Friction
Edexcel International Advanced Level (IAL) Mechanics 2 Study Notes
Unit 3: Work and Energy
Edexcel International Advanced Level (IAL) Mechanics 3 Study Notes
Unit 2: Elastic Strings and Springs
Unit 4: Motion in a Circle
Edexcel International Advanced Level (IAL) Statistics 1 Study Notes
Unit 1: Mathematical Models in Probability and Statistics
Unit 4: Correlation and Regression
- 4.1 Scatter Diagrams and Linear Regression
- 4.2 Explanatory and Response Variables
- 4.3 Product Moment Correlation Coefficient
Edexcel International Advanced Level (IAL) Statistics 2 Study Notes
Unit 1: The Binomial and Poisson Distributions
- 1.1 Binomial and Poisson Distributions
- 1.2 Mean and Variance of Binomial and Poisson Distributions
- 1.3 Poisson Approximation to the Binomial Distribution
Unit 3: Continuous Distributions
Edexcel International Advanced Level (IAL) Statistics 3 Study Notes
Unit 1: Combinations of Random Variables
Unit 3: Estimation, Confidence Intervals and Tests
- 3.1 Standard Error, Estimators and Bias
- 3.2 Distribution of the Sample Mean
- 3.3 Confidence Intervals and Interpretation
- 3.4 Confidence Interval for the Mean of a Normal Distribution
- 3.5 Hypothesis Tests for the Mean (Variance Known)
- 3.6 Central Limit Theorem and Large Sample Tests
- 3.7 Tests for the Difference Between Two Means
- 3.8 Large Sample Tests with Unknown Variances
Unit 4: Goodness of Fit and Contingency Tables
Unit 5: Regression and Correlation
Edexcel International Advanced Level (IAL) Decision Mathematics 1 Study Notes
Unit 2: Algorithms on Graphs
- 2.1 Minimum Spanning Trees (Prim’s and Kruskal’s Algorithms)
- 2.2 Dijkstra’s Algorithm for Shortest Paths