Delta Mathematics (3rd Edition) links

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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 12    The Ellipse (1) 
Page 13    The Ellipse (2)
Page 13    How the constants in a conic section equation influence the graph
Page 13    An ellipse sketcher
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 (1)
Page 47    Drawing linear inequalities (2)


Chapter 4 Optimisation (two variable)


Page 53    Exploring linear programming 
Page 53    Linear programming applet (1) 
Page 53    Linear programming applet (2)


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 96   sin(A + B)

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 (2)
Page 253   Sketching derived functions (3)
Page 253   A spreadsheet that gives graph of function and its derived function
Page 257   Secants and tangents
Page 257   An applet that shows what happens to the gradient when a secant approaches a tangent






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 287   Active demonstration of when a function is increasing or decreasing
Page 291   The differentiator
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
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 369    The definite integral for ex
Page 372    Signed 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 (1)
Page 391    Comparing several methods of numerical integration (2)


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 (1)
Page 452    Graphs of inverses (2)


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
Page 470    The exponential function


Appendix 4

Page 490   The limit of [sin(x)]/x