Hsc Study Cards: Mathematics Extension 1
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Home > Mathematics and Science books > Mathematics > Hsc Study Cards: Mathematics Extension 1
Hsc Study Cards: Mathematics Extension 1

Hsc Study Cards: Mathematics Extension 1


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About the Book

YEAR 12 These clever HSC Study Cards will provide you with key information you need to know to help ensure HSC success. Features * Written by key subject authors and course experts. * All relevant knowedge and skill objectives are covered. * Key points highlighted to help you learn and memorise what's important. * Topics are clearly identified. * Each card is numbered for easy reference. * Examples and diagrams to assist understanding. * Design is simple so you can carry the cards in your pocket and swot anywhere.

Table of Contents:
Basic arithmetic/ algebra - 2 cards 1. Inequations, variable in denominator 1 2. Inequations, variable in denominator 2 Circle geometry - 13 cards 1. Definitions: circle elements 1 2. Definitions: circle elements 2 3. Definitions: tangents/ concyclic points 4. Arcs, subtended angles 5. Angles at the centre 6. Chord theorems 7. Equal chords theorems 8. The circumcircle theorem 9. Same segment theorems 10. Cyclic quadrilateral theorems 11. Line of centres theorem 12. Tangent theorems 13. Chord/ intercept theorems Trigonometry - 7 cards 1. Harder examples 2. Compound/ half angle identities 3. Equations: auxiliary angle method 4. Equations: half-angle method 5. Equations: general solutions 6. Small angle ratios 7. The fundamental limit Linear functions and lines - 2 cards 1. Angle between two lines 3. Internal/ external division Series and applications - 3 cards 1. Mathematical induction 1 2. Mathematical induction 2 3. Mathematical induction 3 Methods of integration - 2 cards 1. Integration using substitutions 2. Using trigonometric functions The quadratic polynomial - 1 card 1. Reducing equations to quadratics The parabola - 5 cards 1. Parametric equations 2. Equation of a chord 3. Tangents and normals 4. Parabola property 1 5. Parabola property 2 Asympototes - 4 cards 1. Vertical/ horizontal asymptotes 1 2. Vertical/ horizontal asymptotes 2 3. Vertical/ horizontal asymptotes 3 4. Other asymptotes Applications of calculus - 9 cards 1. Exponential growth/ decay 2. Rates of change 3. Velocity as a function of x 4. Projectile motion 1 5. Projectile motion 2 6. Projectile motion 3 7. SHM 1: definitions 8. SHM 2: general equations 9. SHM 3: equations summary Inverse functions - 9 cards 1. Definitions 2. Obtaining the inverse 3. Properties 4. Restricting domains 5. Inverse sine 6. Inverse cosine 7. Inverse tangent 8. Inverse trig properties 9. Derivatives Polynomials - 7 cards 1. Definitions 2. Special polynomials 3. Zeroes and roots 4. Factors and remainders 5. Polynomial equations 6. Halving the interval 7. Newton's method Bionomial theorem - 5 cards 1. Pascal's triangle 2. The general expansion 3. The constant term 4. Greatest term/ coefficient 5. Finite series proofs Probability - 6 cards 1. The counting theorem 2. Permutations 1 3. Permutations 2 4. Combinations 5. Binomial probability 1 6. Binomial probability 2 Answering short and extended response questions Index


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Product Details
  • ISBN-13: 9780701637170
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: John Wiley & Sons Australia Ltd
  • Weight: 250 gr
  • ISBN-10: 070163717X
  • Publisher Date: 12 Aug 2003
  • Binding: Loose-leaf


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