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Chapter 1 - Graphs and
equations of conic sections
Page 5 Conic
sections - an overview
Page 7 Equation
of a circle
Page 7 Finding
the circle equation
Page 13 The
Ellipse
Page 13 Graphing
an ellipse or hyperbola step by step
Page 13 Focus/eccentricity
properties for an ellipse
Page 14 Graphing
an ellipse or hyperbola step by step (not centred at the origin)
Page 16 Comets
Page 17 The
hyperbola
Page 18 Finding
the equation of an ellipse or hyperbola
Page 20 Graphing
a hyperbola step by step
Page 22
The
focus property of the parabola
Page 24 The
parabola
Chapter 3 Linear inequalities
Page 47 Drawing
linear inequalities
Chapter 4 Optimisation (two variable)
Page 53 Exploring
linear programming
Page 53 Linear
programming applet
Chapter 5 - Trig graphs and reciprocal trig functions
Page 68 Tangents
and slopes
Page 72
The
sin
graph
Page 72
The cos
graph
Page 74
Graph
of y = sin(ax)
Page 77
Transformation
of trig graphs
Page 77
The
graph of a sin b(x - c)
Page 82 The
London Eye
Page 86 The
relationship between cos, sin, tan and cot
Chapter 6 - Trig identities and
formulae
Page 95 A
summary of trig identities
Page 97
NZQA formulae sheets
Chapter
7 - Solving trig equations
Page 112
Graphs
of inverses
Page 118 Buffon's
needles
Chapter
8 - Networks
Page 128
Planarity game
Chapter
11 - The algebra of complex numbers
Page 189 Transcendental
numbers
Page 201 Multiplying
two complex numbers (1)
Page 201 Multiplying
two complex numbers (2)
Page 204 Dividing
two complex numbers (1)
Page 204 Dividing
two complex numbers (2)
Chapter 12 -
Polynomials
Page 220
Factorise
polynomials
Page 225 A
quadratic equation solver
Chapter 13 - De Moivre’s theorem and complex roots
Page 203 The
complex plane
Chapter 14 - Limits, continuity and differentiability
Page 250 Logistic
growth (1)
Page 250
Logistic
growth (2)
Page 253
Surfing
the wave - the graph of the derived function
Page 253 Sketching
derived functions (1)
Page 253
Sketching
derived functions (3)
Page 257
Secants
and tangents
Page 257
An
applet that shows what happens to the gradient when a secant
approaches a tangent
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Chapter 15 - Derivatives and differentiation rules
Page 264 Proof
of the Chain rule
Page 267
The
gradient of ex at x = 0
Page 274 Examples
of the Product rule
Page 279
Derivatives
of sin and cos
Chapter 16 - Properties
of curves
Page 293
Derivatives
of cubic functions and changes in concavity
Page 297 Graphs
of first and second derivatives
Chapter 17 - Optimisation (one variable)
Page 311
Cross-section
of a gutter (varying the angle)
Page 322 Longest
ladder around a corner
Page 322 Shortest
ladder against a building over a fence
Page 323 The
fastest route (1)
Page 323 The
fastest route (2)
Page 323
Minimum
distance via a straight edge
Chapter 19 -
Anti-differentiation
Page 345 Indefinite
integration
Chapter 21 - Definite integration and area
Page 379 Area
between two curves
Chapter 22 - Numerical
integration
Page 383 The
trapezium rule (choose midpoint option)
Page 391 Comparing
several methods of numerical integration
Chapter 23 - Differential equations
Page 405
General
solutions - picturing the family of curves
Chapter 24 - Systems of equations
Page 423 Simultaneous
equation solver
Page 427 Representations
of the line of intersection of two planes
Page 433
Narcissistic numbers
Chapter 24 (Delta WB) - Systems of equations
Page 179 The
age of Diophantus
Appendix 1 - Functions and their graphs
Page 452 Inverse
functions
Page 452 Graphs
of inverses
Appendix 2 - Binomial
expansions
Page 457 Binomial
coefficient calculator
Page 459 Pascal's
Triangle patterns
Page 459 Multiples
inside Pascal's Triangle
Appendix 3 - The exponential function and logarithms
Page 463 The
number e
Appendix 4
Page 490
The
limit of [sin(x)]/x
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