1. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 1 ADVANCED HIGHER MATHS REVISION AND FORMULAE UNIT 2

2. 12 October, 2014 St Joseph’s College ADVANCED HIGHER REVISION 2 Inverse Trigonometric Functions Unit 2 Outcome 1 FURTHER DIFFERENTIATION

3. 12 October, 2014 St Joseph’s College ADVANCED HIGHER REVISION 3 Example 1 Unit 2 Outcome 1 FURTHER DIFFERENTIATION

4. 12 October, 2014 St Joseph’s College ADVANCED HIGHER REVISION 4 Example 2 Unit 2 Outcome 1 FURTHER DIFFERENTIATION

5. 12 October, 2014 St Joseph’s College ADVANCED HIGHER REVISION 5 Example 1 Implicit Differentiation Unit 2 Outcome 1 FURTHER DIFFERENTIATION

6. 12 October, 2014 St Joseph’s College ADVANCED HIGHER REVISION 6 Example 2 Implicit Differentiation Unit 2 Outcome 1 FURTHER DIFFERENTIATION

7. 12 October, 2014 St Joseph’s College ADVANCED HIGHER REVISION 7 Example Equation of Tangents Unit 2 Outcome 1 FURTHER DIFFERENTIATION

8. 12 October, 2014 St Joseph’s College ADVANCED HIGHER REVISION 8 Example 2 (contd) Equation of Tangents Unit 2 Outcome 1 FURTHER DIFFERENTIATION

9. 12 October, 2014 St Joseph’s College ADVANCED HIGHER REVISION 9 Second Derivatives Example Unit 2 Outcome 1 FURTHER DIFFERENTIATION

10. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 10 Example (contd) Second Derivatives 2 Unit 2 Outcome 1 FURTHER DIFFERENTIATION

11. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 11 Logarithmic Differentiation Unit 2 Outcome 1 FURTHER DIFFERENTIATION

12. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 12 Example 1 Logarithmic Differentiation Unit 2 Outcome 1 FURTHER DIFFERENTIATION

13. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 13 Example 2 Logarithmic Differentiation Unit 2 Outcome 1 FURTHER DIFFERENTIATION

14. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 14 Logarithmic Differentiation Example 2 (contd) Unit 2 Outcome 1 FURTHER DIFFERENTIATION

15. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 15 Parametric Differentiation Unit 2 Outcome 1 FURTHER DIFFERENTIATION

16. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 16 Equation of Tangents Example

17. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 17 Equation of TangentsExample 1 (contd) Unit 2 Outcome 1 FURTHER DIFFERENTIATION

18. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 18 Second Derivatives Unit 2 Outcome 1 FURTHER DIFFERENTIATION

19. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 19 Stationary PointsSecond Derivatives AND Unit 2 Outcome 1 FURTHER DIFFERENTIATION

20. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 20 Example Unit 2 Outcome 1 FURTHER DIFFERENTIATION

21. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 21 Unit 2 Outcome 1 FURTHER DIFFERENTIATION

22. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 22 Unit 2 Outcome 1 FURTHER DIFFERENTIATION

23. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 23 Unit 2 Outcome 2 FURTHER INTEGRATION

24. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 24 Example 1 Example 2 Unit 2 Outcome 2 FURTHER INTEGRATION

25. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 25 Example 3 Unit 2 Outcome 2 FURTHER INTEGRATION

26. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 26 Example 4 Unit 2 Outcome 2 FURTHER INTEGRATION

27. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 27 Partial Fractions and Long Division Example Unit 2 Outcome 2 FURTHER INTEGRATION

28. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 28 Integration by Parts Example 1 Unit 2 Outcome 2 FURTHER INTEGRATION

29. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 29 Integration by Parts Example 2 Unit 2 Outcome 2 FURTHER INTEGRATION

30. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 30 Example 3 Unit 2 Outcome 2 FURTHER INTEGRATION

31. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 31 Example 3 (contd) Unit 2 Outcome 2 FURTHER INTEGRATION

32. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 32 Example 4 Unit 2 Outcome 2 FURTHER INTEGRATION

33. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 33 Example 4 (contd) Unit 2 Outcome 2 FURTHER INTEGRATION

34. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 34 First Order- Variables SeparableExample 1 Unit 2 Outcome 2 FURTHER INTEGRATION

35. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 35 Example 2 Unit 2 Outcome 2 FURTHER INTEGRATION

36. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 36 Example 3 Unit 2 Outcome 2 FURTHER INTEGRATION

37. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 37 First Order- Variables Separable Example 3 (contd) Unit 2 Outcome 2 FURTHER INTEGRATION

38. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 38 Example 1 Particular Solutions of Differential equations Unit 2 Outcome 2 FURTHER INTEGRATION

39. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 39 Example 3 Unit 2 Outcome 2 FURTHER INTEGRATION

40. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 40 Example 1Mathematical Models Unit 2 Outcome 2 FURTHER INTEGRATION

41. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 41 Example 1(contd) Unit 2 Outcome 2 FURTHER INTEGRATION

42. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 42 Example 1(contd)Mathematical Models Unit 2 Outcome 2 FURTHER INTEGRATION

43. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 43 Unit 2 Outcome 3 COMPLEX NUMBERS

44. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 44 Division of Complex Numbers Example 1 Unit 2 Outcome 3 COMPLEX NUMBERS

45. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 45 Example 2 [ x x 2 ] Unit 2 Outcome 3 COMPLEX NUMBERS

46. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 46 Example 2 (contd) Unit 2 Outcome 3 COMPLEX NUMBERS

47. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 47 Modulus and Argument Example 3

48. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 48 Modulus and Argument

49. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 49 Multiplication and Division of Complex Numbers in Polar Form

50. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 50 Example Multiplication and Division of Complex Numbers in Polar Form

51. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 51 Example(contd) Multiplication and Division of Complex Numbers in Polar Form

52. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 52 De Moivres Theorem In general

53. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 53 De Moivres Theorem Example 1

54. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 54 De Moivres Theorem Example 1(contd)

55. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 55 Roots of Complex NumbersExample 2

56. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 56 Roots of Complex NumbersExample 2 (contd) (c)

57. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 57 Polynomial EquationsExample 3

58. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 58 Polynomial EquationsExample 3(contd)

59. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 59 Polynomial EquationsExample 4

60. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 60 Polynomial EquationsExample 4(contd)

61. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 61 Polynomial EquationsExample 4(contd)

62. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 62 Polynomial EquationsExample 4(contd)

63. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 63 Trigonometric IdentitiesExample 5

64. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 64 Trigonometric IdentitiesExample 5 (contd)

65. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 65 Locus in the Complex PlaneExample 6

66. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 66 Locus in the Complex PlaneExample 7 x

67. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 67 Standard Formulae Unit 2 Outcome 4 SEQUENCES and SERIES

68. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 68 Standard Formulae Example 1 Unit 2 Outcome 4 SEQUENCES and SERIES

69. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 69 nth term of arithmetic series sum of arithmetic series to n terms nth term of geometric series sum of geometric series to n terms sum to infinity of geometric series Unit 2 Outcome 4 SEQUENCES and SERIES

70. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 70 Example 2 Unit 2 Outcome 4 SEQUENCES and SERIES

71. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 71 Example3Example3 Unit 2 Outcome 4 SEQUENCES and SERIES

72. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 72 Geometric SeriesExample 3 (contd)

73. 12 October, 2014 St Joseph's College ADVANCED HIGHER REVISION 73 Example4Example4 Unit 2 Outcome 4 SEQUENCES and SERIES