FP2 Tutorials – MEI A Level Maths
Integration
Inverse trigonometric functions
Standard Integrals Involving Inverse Trigonometric Functions
Polar Coordinates and Curves
Polar Coordinates
Equations of Curves
Area Bounded by a Polar Curve
Complex Numbers
Further Complex Numbers
De Moivre’s Theorem
Loci in the Complex Plane
Series
Maclaurin’s Series
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
- The Cayley-Hamilton theorem
- Finding the inverse of a 3x3 matrix where it exists
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