# AQA A Level ▸ Year 2 Course Outline

## Unit 1: Sequences and Series

• Extending the Binomial Theorem.
• Arithmetics Sequences and Series
• Geometric Sequences and Series.
• Iterative and Recursive Sequences.

## Unit 2: Trigonometry 1

• Small Angle Approximations.
• Reciprocal Trigonometric Functions.
• Inverse Trigonometric Functions

## Unit 3: Functions and Transformations

• Simplifying Rational Functions.
• The Modulus Function.
• Composite Functions and Inverse Functions.
• Combining Transformations.

## Unit 4: Further Differentiation

• Differentiate exponentials, logs and trigonometric functions.
• The Second Derivative and Points of Inflexion.
• The Chain Rule.
• The Product Rule.
• The Quotient Rule.

## Unit 5: Further Integration

• Integrating Exponentials, $$\frac{1}{x}$$, and Basic Trigonometric Functions.
• Integration by Inspection.
• Integration by Substitution.
• Integration by Parts.

## Unit 6: Numerical Methods

• Change of Sign
• Iterative Methods.
• Staircase and Cobweb Diagrams.
• Newton-Raphson Method.
• Trapezium Rule.

## Unit 7: Parametric Equations and Implicit Differentiation

• Converting Between Cartesian and Parametric Forms.
• Parametric Differentiation.
• Implicit Differentiation.

## Unit 8: Vectors

• Magnitude and Direction
• Vector Addition and Scalar Multiplication.
• Position Vectors

## Unit 9: Proof

• Review Proof Methods From Year 1.
• Proof by Contradiction.

## Unit 10: Trigonometry 2

• $$\sin (A \pm B),\cos (A \pm B),\tan (A \pm B)$$ .
• Double Angle Formulae.
• $$R\sin (x \pm \alpha )$$ and $$R\cos (x \pm \alpha )$$.
• Trigonometric Proofs.

## Unit 11: Partial Fractions

• Decomposing Rational Functions into Partial Fractions.
• Integrating Using Partial Fractions.

## Unit 12: Differential Equations

• Construct Differential Equations.
• Solve First-Order Differential Equations.
• Interpret the Solutions to Differential Equations.