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 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 needlesChapter 8 - Networks Page 128    Planarity gameChapter 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 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 rulePage 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 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 planesPage 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