1 | Week | Date | Topic |
---|---|---|---|

2 | |||

3 | 1 | 8/9/2014 - 12/9/2014 | 1. FUNCTIONS OF SEVERAL VARIABLES |

4 | |||

5 | 1.1. Introduction to functions of several variables | ||

6 | Definitions and notations | ||

7 | Graph of functions of two variables | ||

8 | Domain and range | ||

9 | Limits and continuity | ||

10 | |||

11 | Tutorial | ||

12 | |||

13 | |||

14 | 2 | 15/9/2014 - 19/9/2014 | 1.2. Partial Derivatives |

15 | Definitions (using limits) and notations | ||

16 | Interpretations (partial derivative as slopes in | ||

17 | three dimensions Cartesian coordinate or as rates of change) | ||

18 | Rules of partial differentiation | ||

19 | |||

20 | Tutorial | ||

21 | |||

22 | 16/09/2014 | Hari Malaysia | |

23 | |||

24 | |||

25 | 3 | 22/9/2014 - 26/9/2014 | 1.3. Higher Order Partial Derivatives |

26 | Notations | ||

27 | Determination and evaluation of higher order partial derivatives | ||

28 | |||

29 | Tutorial | ||

30 | |||

31 | QUIZ 1 | ||

32 | |||

33 | |||

34 | 4 | 29/9/2014 - 3/10/2014 | 1.4. Chain Rule |

35 | One independent variable | ||

36 | Two independent variables | ||

37 | |||

38 | 1.5. Implicit Differentiation | ||

39 | |||

40 | Tutorial | ||

41 | |||

42 | |||

43 | 4/10/2014 - 12/10/2014 | Mid-semester Break | |

44 | |||

45 | 05/10/2014 | Eid al-Adha | |

46 | |||

47 | |||

48 | 5 | 13/10/2014 - 17/10/2014 | 1.6. Total Differentials |

49 | |||

50 | TEST 1 | ||

51 | |||

52 | |||

53 | 6 | 20/10/2014 - 24/10/2014 | 1.7: Equation of Tangent Plane |

54 | |||

55 | 1.8: Linear Approximations (Tangent Plane Approximations) | ||

56 | |||

57 | |||

58 | Tutorial | ||

59 | |||

60 | 22/10/2014 | Deepavali | |

61 | |||

62 | 25/10/2014 | Awal Muharram | |

63 | |||

64 | 7 | 27/10/2014 - 31/10/2014 | 1.9. Directional Derivatives and Gradients |

65 | Gradient Vectors | ||

66 | Determination and evaluation of directional derivatives | ||

67 | |||

68 | Tutorial | ||

69 | |||

70 | |||

71 | 8 | 2/11/2014 - 7/11/2014 | 1.10. Extremum of functions of two variables |

72 | Second Partial Derivative Test | ||

73 | |||

74 | Tutorial | ||

75 | |||

76 | QUIZ 2 | ||

77 | |||

78 | |||

79 | 9 | 10/11/2014 - 14/11/2014 | 1.11. Lagrange Multiplier |

80 | Extreme values with one constraint | ||

81 | |||

82 | Tutorial | ||

83 | |||

84 | |||

85 | 10 | 17/11/2014 - 21/11/2014 | 2. APPROXIMATION METHODS |

86 | |||

87 | 2.1. Solving Non-Linear Equations | ||

88 | Bisection Method: | ||

89 | - Existence of roots (root finding) | ||

90 | - Bisection procedure | ||

91 | |||

92 | TEST 2 | ||

93 | |||

94 | |||

95 | 11 | 24/11/2014 - 28/11/2014 | Newton’s Method: |

96 | - Newton’s formula | ||

97 | - Application of Newton’s method | ||

98 | |||

99 | Tutorial | ||

100 | |||

101 | |||

102 | 12 | 1/12/2014 - 5/12/2014 | 2.2. Polynomial Interpolation |

103 | Difference table | ||

104 | |||

105 | QUIZ 3 | ||

106 | |||

107 | |||

108 | 13 | 8/11/2014 - 12/12/2014 | Newton’s forward difference |

109 | |||

110 | Tutorial | ||

111 | |||

112 | |||

113 | 14 | 15/12/2014 - 19/12/2014 | Newton’s backward difference |

114 | |||

115 | TEST 3 | ||

116 | |||

117 | 22/12/2014 - 28/12/2014 | Revision Week | |

118 | |||

119 | 29/12/2014 - 19/1/2014 | Final Examination | |

120 |