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Sace Study Cards Mathematical Studies

Sace Study Cards Mathematical Studies


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About the Book

YEAR 12The clever "SACE Study Cards" will provide students with key information they need to know to help ensure SACE success.The design is simple so that students can carry the cards in their pockets. This means they can study in the bus or the car, or take a quick look before lessons or even when on holidays - right up until the exam itself!Features * Written by key subject specialist and course experts.* All relevant syllabus knowledge is covered.* Topics are clearly identified.* Each card is numbered for easy reference.* Examples and diagrams assist understanding.* Dot point format makes it easy to memorise key information.

Table of Contents:
Statistics - "24 cards" 1. Continuous data - normal distribution 2. Properties of normal distribution 3. Standard normal curve 4. Standardised (Z) scores 5. Probabilities and Z-scores 6. Calculators and Z-scores 7. Probabilities to data values 8. Probabilities and data values 1 9. Probabilities and data values 2 10. Central Limit Theorem 1 11. Central Limit Theorem 2 12. Application of Central Limit Theorem 13. Confidence intervals 14. Sample size and confidence intervals 15. Hypothesis tests 1 16. Hypothesis tests 2 17. Binomial distributions 1 18. Binomial distributions 2 19. Binomial distributions 3 20. Binomial distributions 4 21. Sampling proportions 22. Confidence intervals and proportions 23. Hypothesis test for proportions 24. Sign test Functions and graphs using calculus - "46 cards" 1. Exponential and logarithmetic laws 2. Exponential equations 3. Logarithmic equations 4. Exponential and logarithmic modelling 1 5. Exponential and logarithmic modelling 2 6. Piecewise linear models 7. Modulus functions 1 8. Modulus functions 2 9. Idea of a limit 10. Gradients and limits 1 11. Gradients and limits 2 12. Basic rules of differentiation 13. Chain rule 14. Product rule 15. Quotient rule 16. Derivatives of exponential and logarithmic functions 17. Implicit differentiation 18. Tangents and normals 1 19. Tangents and normals 2 20. Tangents and normals 3 21. Increasing and decreasing functions 22. Maximum and minimum stationary points 23. Concavity 24. Points of inflexion 25. Asymptotes 26. Graphs of functions and derivatives 27. Graphs on the graphics calculator 28. Growth and decay 1 29. Growth and decay 2 30. Growth and decay 3 31. Rate of change 32. Motion 1 33. Motion 2 34. Economic models 1 35. Economic models 2 36. Optimisation 1 37. Optimisation 2 38. Approximating area 1 39. Approximating area 2 40. Rules of integration 41. Integration by substitution 42. Areas under curves 43. Areas between curves 44. Distance travelled 45. Calculating change with integration 46. Indefinite integration Linear equations and matrices - "21 cards" 1. Linking variables in equatins 2. Augmented matrices 3. General solutions to 2 x 2 equations 4. 3 x3 row operations 5. Non-unique 3 x 3 solutions 6. Unspecified systems 7. Over-specified systems 8. 3 x 3 equations with algebraic coefficients 9. Matrix operations 10. Equality of matrices 11. Matrix multiplication 12. Transition matrices 13. Solving for matrices 14. Matrix multiplication is not commutative 15. identity matrix 16. Inverse of a matrix 17. Solving equations using matrices 18. Recognising inverse matrices 19. Determinants of 2 x 2 matrices 20. Determinants of 3 x 3 matrices 21. Matrix algebra "Index"


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Product Details
  • ISBN-13: 9780701638009
  • Publisher: John Wiley & Sons Australia Ltd
  • Publisher Imprint: John Wiley & Sons Australia Ltd
  • Language: English
  • Weight: 305 gr
  • ISBN-10: 0701638001
  • Publisher Date: 12 Aug 2003
  • Binding: Loose-leaf
  • Returnable: N


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