FP3 Tutorials – Edexcel IAL (International A-Level)
It is advisable to check the official FP3 Edexcel IAL (International A-Level) specification in case of any changes.
Hyperbolic Functions
Hyperbolic Functions
- Definitions
- Graphs of sinh(x), cosh(x) and tanh(x)
- Graphs of sech(x), cosech(x) and coth(x)
- Solving equations using inverse and exponential functions
- Hyperbolic identities
- Osborn's rule
- Inverse hyperbolic functions and their graphs
- Expressing inverse hyperbolic functions as natural logarithms
- Solving hyperbolic equations using hyperbolic identities
Conics
The Ellipse
Differentiation
Inverse Trigonometric Functions
Series
Integration
Standard Integrals Involving Inverse Trigonometric Functions
Standard Integrals Involving Hyperbolic Functions
Deriving and using reduction formulae
Applications of Integration – Arcs
Applications of Integration – Surface area of revolution
Vectors
Triple Scalar Product
Matrix Algebra
Further matrix algebra
- Transposed and symmetric matrices
- Finding the determinant of a 3x3 matrix
- Linear transformations in 3 dimensions
- Using inverse matrices to reverse the effects of a linear transformation
- Eigenvalues and eigenvectors
- Reducing a symmetrical matrix to diagonal form
- Finding the inverse of a 3x3 matrix where it exists