FP3
Definition
Relationships
Relationships 2
Relationships 3
Osborne's rule
Equations
Inverse sinh
Inverse cosh
Inverse tanh
Trig & hyperbolic O-test
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2000
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2008
Randomised Exam Q 2015
sinh ax
cosh ax
tanh ax
sech ax
cosech ax
coth ax
arc sinh ax
arc cosh ax
arc tanh ax
The ellipse
The hyperbola
The super-ellipse
The ellipse
The ellipse 2
The ellipse 3
The ellipse 4
The ellipse 5
The ellipse 6
The hyperbola
The hyperbola 2
The hyperbola 3
O-test
Exam O-test
Randomised Exam Q 2002
Randomised Exam Q 2006
Randomised Exam Q 2006
Parametric Ellipse
Parametric Hyperbola
Cycloids
More cycloids
Curvature 4
Curvature 5
Find the curvature
Find the curvature 2
Find the curvature 3
Find the curvature 4
Radius of curvature 1
Radius of curvature 2
Radius of curvature 3
Radius of curvature 4
Radius of curvature 5
O-test 1
Randomised Exam Q 2002
Randomised Exam Q 2006
Investigate Equation of Ellipse
The ellipse 2
Investigate Equation of Hyperbola
The hyperbola 2
Xtra 1
Arc tanh x 2
Tanh x 2
More on Sinh and cosh
Tangents and Chords of Hyperbolic Functions
Tanh x
Differentiation
Differentiation 2
Finding tangents
Differentiation 3
Arc tanh x
Finding normals
Derivative of arc sinh
Derivative of arc cosh
Derivative of arc tanh
Exam O-test
Randomised Exam Q 2005
Randomised Exam Q 2006
Investigate Derivatives of Arcsin, Arccos, Arctan
Rugby kick
Derivative of arc sin
Derivative of arc cos
Derivative of arc tan
Compare function & inverse
Standard results
Exam O-test
Randomised Exam Q 2002
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
M.I.T. video on methods
MIT video: arc length, sector area
Length of arc in parametric form
Investigate length of arc
Investigate length of arc 2
Investigate length of arc 3
Length of arc
Length of arc 2
Area of surface
Area of surface 2
O-test
Exam O-test
Randomised Exam Q 2005
Randomised Exam Q 2015
Example 1
Example 2
Inverse hyperbolics
Inverse hyperbolics 2
Inverse hyperbolics 3
Exam O-test
Randomised Exam Q 2005
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Introduction
Example 1
Example 2
Example 3
A harder example
Standard integrals
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2007
Example 1
Example 2
Example 3
Randomised Exam Q 2005
Sine
Sine 2
Tan
Tan 2
Tan 3
Sinh
Cosh
Definition
Perpendicular unit vectors
Properties
Properties 2
Properties 3
Angle between two vectors
Area of triangle
Area of parallelogram
Equations of lines
Direction ratio form
Direction ratio form 2
O-test 1
O-test 2
O-test 3
Randomised Exam Q 2008
Randomised Exam Q 2008
Visualizing
Visualizing 2
Equation of a plane
Equation of a plane 2
Equation of a plane 3
Vector equation of a plane
Vector equation of a plane 2
Perpendiculars to planes
Angle between planes
Perpendicular distance
Line of intersection
Point of intersection
Point of intersection 2
Line in plane
O-test 1
O-test 2
O-test 3
Exam O-test
Randomised Exam Q 2005
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
Randomised Exam Q 2015
Definition
Definition 2
Volume 2
Volume of tetrahedra
Volume of pyramids
Volume of triangular prisms
Intersecting lines
Intersecting lines 2
Shortest distance between lines
Coplanar points
Coplanar vectors
O-test 1
O-test 2
Exam O-test
Randomised Exam Q 2000
Randomised Exam Q 2002
Adding and subtracting matrices
Multiplying matrices
Minors
Minors 2
Determinants
Inverses and determinants
Inverse
Cofactors
Adjoint
Revenue
Football scores
Adding matrices on a GDC
Multiplying matrices on a GDC
Determinant on a GDC
Inverse on a GDC
O-test 1
O-test 2
Exam O-test
Randomised Exam Q 2003
Randomised Exam Q 2006
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2009
Diagonal form
Diagonal form 2
Powers of a matrix
The theorem
Using the theorem
Using the theorem 2
Using the theorem 3
O-test
Illustration
2x2 matrices
2x2 matrices 2
3x3 matrices
3x3 matrices 2
Exam O-test
O-test
Randomised Exam Q 2000
Randomised Exam Q 2002
Randomised Exam Q 2005
Randomised Exam Q 2006
Randomised Exam Q 2006
Randomised Exam Q 2007
Randomised Exam Q 2008
Randomised Exam Q 2008
Randomised Exam Q 2015
No solutions
Unique solutions
Infinitely many solutions
Infinitely many solutions 2
Infinitely many solutions 3
Solving with a GDC
Exam O-test
Randomised Exam Q 2008
Transpose
Mindmap
Glossary and quiz