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Chapter 1 - Graphs and
equations
of conic sections
Page 7 Equation
of a circle (1)
Page 7
Equation
of a circle (2)
Page 7 Finding
the circle equation
Page 13
The
Ellipse (1)
Page 13
The
Ellipse (2)
Page 13
The
Ellipse (3)
Page 13
Reflective property of ellipse
Page 13
Eccentricity
for an ellipse
Page 16 Comets
Page 17
The
hyperbola
Page 18
Finding
the equation of a hyperbola
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 72
The
unit circle and basic trig
graphs (1)
Page 72
The unit
circle and basic trig
graphs (2)
Page 72
The
unit circle and basic trig
graphs (3)
Page 77
Transformation
of trig graphs
Page 77
The
graph of a sin b(x - c)
Page 77
The
graph of a tan b(x + c) + d
Page 82 The
London Eye
Page 86
The
sec, cosec and cot graphs
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 (1)
Page 118
Buffon's
needles (2)
Chapter
8 - Networks
Page 128
Planarity game
Chapter
11 - The algebra of complex numbers
Page 189 Transcendental
numbers
Page 197 The
complex plane
Page 201
Multiplying
two complex numbers
Page 204 Dividing
two complex numbers (1)
Page 204
Dividing
two complex numbers (2)
Chapter 12 -
Polynomials
Page 220
Factorise
polynomials (1)
Page 220
Factorise
polynomials (2)
Page 225 A
quadratic equation solver
Chapter 13 - De Moivre’s theorem and complex roots
Page 234
de
Moivre's Theorem
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Chapter 14 - Limits, continuity and differentiability
Page 250 Logistic
growth (1)
Page 250
Logistic
growth (2)
Page 253
Drawing
derived functions (1)
Page 253
Drawing
derived functions (2)
Page 257
The gradient when a secant
approaches a tangent (1)
Page 257
The gradient when a secant
approaches a tangent (2)
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 297 Graphs
of first and second derivatives (1)
Page 297
Graphs
of first and second derivatives (2)
Page 297
Graphs
of first and second derivatives (3)
Chapter 17 - Optimisation (one variable)
Page 311
Cross-section
of a gutter (varying the angle)
Page 322 Longest
ladder around a corner
Page 323 The
fastest route
Page 323
Minimum
distance via a straight edge
Chapter 19 -
Anti-differentiation
Page 345
Indefinite
integration (1)
Page 345
Indefinite
integration (2)
Chapter 21 - Definite integration and area
Page 379 Area
between two curves (1)
Page 379
Area
between two curves (2)
Chapter 22 - Numerical
integration
Page 383
The
trapezium rule
Page 391
Comparing
several methods of numerical integration
Chapter 24 - Systems of equations
Page 423
Simultaneous
equation solver
Page 427
Intersection of 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
Appendix 2 - Binomial
expansions
Page 457
Binomial
coefficient calculator
Page 459
Pascal's
Triangle patterns
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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