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NSW Extension 1 HSC (Year 12 3 Unit)
  1. Graphing Rational Functions Part 1
  2. Graphing Rational Functions Part 2
  3. Midsegments
  4. Quadrilaterals 6
  5. Powers of 2
  6. Equations of type log x to the base 3 = 4
  7. Equations of type log 32 to the base x = 5
  8. Laws of Logarithms
  9. Using the Log Laws to Expand Logarithmic Expressions
  10. Using the Log Laws to Simplify Expressions Involving Logarithms
  11. Using the Log Laws to Find the Logarithms of Numbers
  12. Equations Involving Logarithms
  13. Using Logarithms to Solve Equations
  14. Change of Base Formula
  15. The Exponential Function
  16. Logarithmic Functions
  17. The Graph of the Logarithmic Curve
  18. The Graph of the Logarithmic Curve
  19. Graphing the Trigonometric Ratios I: Sine Curve
  20. Graphing the Trigonometric Ratios II: Cosine Curve
  21. Graphing the Trigonometric Ratios III: Tangent Curve
  22. Graphing the Trigonometric Ratios IV: Reciprocal Ratios
  23. Using One Trig. Ratio to Find Another
  24. Solving Trigonometric Equations - Type I
  25. Solving Trigonometric Equations - Type II
  26. Solving Trigonometric Equations - Type III
  27. Simplifying Composite Functions
  28. Inverse Functions
  29. General Sequences
  30. Finding Tn Given Sn
  31. The Arithmetic Progression
  32. Which Term of an A.P. is this?
  33. Given two terms of A.P. find the sequence
  34. Arithmetic Means
  35. The sum to n terms of an A.P.
  36. The Geometric Progression
  37. Which term of a G.P. is this?
  38. Given two terms of G.P. find the sequence
  39. Geometric Means
  40. The sum to n terms of a G.P.
  41. Sigma notation
  42. Limiting Sum or Sum to Infinity
  43. Recurring Decimals and the Infinite G.P.
  44. Limits
  45. Differentiation from First Principles
  46. Differentiation of y = x to the power of n
  47. Meaning of dy over dx - Equations of Tangents and Normals
  48. Function of a Function Rule, Product Rule, Quotient Rule.
  49. Increasing, Decreasing and Stationary Functions.
  50. Classification of Stationary Points.
  51. The Second Derivative - Concavity.
  52. Curve Sketching.
  53. Practical Applications of Maxima and Minima.
  54. Antidifferentiation - Primitive Function.
  55. Computation of Areas.
  56. Computation of Volumes of Revolution.
  57. Simpson's Rule, Trapezoidal Rule.
  58. Compound Interest
  59. Superannuation
  60. Time Payments
  61. Applications of arithmetic sequences
  62. Mathematical induction
  63. Experimental probability
  64. Tree diagrams: depending on previous outcomes
  65. The Complementary Result Ã
  66. P[A or B] When A and B are NOT Mutually Exclusive
  67. The Binomial Theorem and Binomial Coefficients
  68. Counting techniques and ordered selections
  69. Counting techniques and ordered selections
  70. Unordered selections - combinations
  71. Constructions and Loci 1: Transformations
  72. Constructions and Loci 2
  73. Methods of Approximating Roots.
  74. Newton's Method of Approximation.

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