Delta Mathematics (3rd Edition) links

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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



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