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 1: Proof
- 1.1 Structure of Mathematical Proof; Logical Steps
- 1.2 Proof by Exhaustion
- 1.3 Disproof by Counterexample
Unit 2: Algebra and Functions
- 2.1 Simple Algebraic Division
- Factor Theorem
- Remainder Theorem
Unit 3: Coordinate Geometry
- 3.1 Equation of a Circle: (x − a)² + (y − b)² = r²
- Angle in a Semicircle is a Right Angle
- Perpendicular from Centre to a Chord Bisects the Chord
- Perpendicularity of Radius and Tangent
Unit 4: Sequences and Series
- 4.1 Sequences Defined by Formula or Recurrence
- 4.2 Arithmetic Sequences and Series; Sum of First n Terms
- 4.3 Increasing, Decreasing and Periodic Sequences
- 4.4 Geometric Sequences and Series; Sum to Infinity
- 4.5 Binomial Expansion (a + bx)n for Positive Integer n
Unit 5: Exponentials and Logarithms
- 5.1 Graph of y = ax
- 5.2 Laws of Logarithms
- 5.3 Solving Equations of the Form ax = b
Unit 6: Trigonometry
- 6.1 Trigonometric Identity
- 6.2 Solving Trigonometric Equations
Unit 7: Differentiation
- 7.1 Applications of Differentiation
- Maxima and minima
- Stationary points
- Increasing and decreasing functions.
Unit 8: Integration
- 8.1 Evaluation of Definite Integrals
- 8.2 Area Under a Curve
- 8.3 Area Approximation Using the Trapezium Rule