Integral fully supports the qualification
Integral covers the whole of the OCR FSMQ: Additional Mathematics specification. The material is presented in topics, which are further divided into sections.
- Algebra review I
- Algebraic manipulation
- Quadratics
- Simultaneous equations
- Algebra review II
- Inequalities
- Algebraic fractions
- Expressions involving square roots
- Algebra
- Operations with polynomials
- The factor theorem
- Graphing polynomial functions
- The binomial expansion
- Sequences and recurrence relations
- 2D Coordinate geometry
- Distance and gradients
- The equation of a straight line
- The equation of a circle
- Inequalities in 2D and linear programming
- Inequalities in 2D
- Linear programming
- Trigonometry
- Trigonometric functions and equations
- Trigonometric identities
- The sine and cosine rules
- Trigonometry applications
- Lines and planes in three dimensions
- Selections
- Products, tree diagrams and Venn diagrams
- Permutations and combinations
- The binomial distribution
- Powers and iteration
- Exponentials and logarithms
- Approximating solutions of equations
- Differentiation
- The gradient of a curve
- Tangents, normals and stationary points
- Approximating gradients
- Integration
- Reversing differentation
- Finding areas
- Approximating area
- Applications of calculus to kinematics
- The constant acceleration formulae
- Variable acceleration