Definitions of sinhx, coshx and tanhx in terms of e
Definitions of sechx, cosechx and cothx in terms of e
Graphs of the hyperbolic functions
Solving simple equations involving hyperbolic functions

Hyperbolic functions definitions and graphs

Questions on powerpoint

 Mon 21st Jan

Finding and proving identities
Using Osborn's rule
Hyperbolic functions identities

Ex 1A Q11, 18 - 24

Graphs of inverse hyperbolic functions
The logarithmic form of inverse hyperbolic functions
Inverse Hyperbolic Functions

The derivatives of hyperbolic functions
Solving problems involving applications of differentiation e.g. tangents, normals, stationary points etc.
Derivatives of hyperbolic functions

Ex 1A Q25 - 39




Ex 2A Q1 - 20 'odds', 21 - 31

The derivatives of inverse hyperbolic functions
Solving problems involving applications of differentiation e.g. tangents, normals, stationary points etc.
Derivatives of inverse hyperbolic functions

The graphs of inverse trig functions
The derivatives of inverse trig functions
Solving problems involving applications of differentiation e.g. tangents, normals, stationary points etc.
Derivatives of inverse trig functions

Ex 2A Q32 - 47 'odds', Q48 - 58





Ex 2B

Integrating using standard forms (reverse of differentiation)
Integrating cosh²x and sinh²x using the cosh2x formulae
Integrating tanh²x using the identity 1 - tanh²x = sech²x
Integrating coth²x using the identity 1 - coth²x = -cosech²x
Integrating tanhx usinf the identity tanhx = sinhx / coshx (similarly for cothx)
Integrating sechx and cosechx
Integration 1

Definite integrals
Problem solving

Ex 3A Q 1 - 30







Ex 3A Q 31 - 50

Using partial fractions
Using completing the square
Integration by recognition
Integration 2

Integration by parts
Integration by substitution
Integration 2

Ex 3B Q 1 - 24




Ex 3B Q 27 - 35

Definite integrals
Tricks e.g. Q48

Using reduction formulae
Reduction formulae

Ex 3B Q36 - 50


Ex 3D

Using reduction formulae in applications of integration

Length of a curve

Ex 3E

Ex 3F Q1 - 12

Area of surface of revolution

Ex 3F Q 13 - 25

Know the focus-directrix property of the parabola
Find the cartesian equation of a parabola given the focus and directrix
Find the cartesian equation of a parabola given its parametric equations
Find equations of tangents and normals to a parabola

Problem solving

Ex 4A Q 1 - 10

Ex 4A Q 11 - 20

Know the focus-directrix property of the ellipse
Know the focal distances property of the ellipse
Find the cartesian equation of a parabola given the focus and directrix
Find the cartesian equation of a parabola given its parametric equations
Find equations of tangents and normals to a parabola

Problem solving

Ex 4B Q 1 - 10





Ex 4B Q 11 - 21