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

2 | Updated on 30/8/2018 | |||

3 | 1 | 3/9/2018-7/9/2018 | 1. FUNCTIONS, LIMITS AND CONTINUITY | |

4 | ||||

5 | 1.1 Functions | |||

6 | Properties of functions | |||

7 | Graph of functions of two variables | |||

8 | Operations on functions | |||

9 | Graphs (Family) of functions | |||

10 | ||||

11 | Tutorial/Lab | |||

12 | ||||

13 | ||||

14 | 2 | 10/9/2018-14/9/2018 | 1.2. Limits | |

15 | Introduction (An Intuitive Introduction and Computational Approach) | |||

16 | One sided limits and two sided limits | |||

17 | Infinite limits and limits at infinity | |||

18 | Computing limits | |||

19 | ||||

20 | Tutorial/Lab | |||

21 | ||||

22 | 11/9/2018 (Tuesday) | Awal Muharram | ||

23 | ||||

24 | ||||

25 | 3 | 17/9/2018-21/9/2018 | Computing limits: End behaviour | |

26 | ||||

27 | 1.3 Continuity | |||

28 | Continuity at a point | |||

29 | Limits and continuity of trigonometric functions | |||

30 | ||||

31 | 16/9/2018 (Sunday) | Hari Malaysia | ||

32 | ||||

33 | ||||

34 | 4 | 24/9/2018-28/9/2018 | 3. DIFFERENTIATION | |

35 | ||||

36 | 2.1 An Introduction to the Derivative: Tangents | |||

37 | ||||

38 | 2.2 The definition of Derivative | |||

39 | Differentiation from the first principle | |||

40 | Differentiability and continuity | |||

41 | ||||

42 | 2.3 Techniques of Differentiation | |||

43 | ||||

44 | Tutorial/Lab | |||

45 | ||||

46 | ||||

47 | 5 | 1/10/2018-5/10/2018 | 2.4 Derivatives of Trigonometric, Exponential and Logarithmic Functions | |

48 | ||||

49 | 2.5 The Chain Rule | |||

50 | ||||

51 | TEST 1 | |||

52 | ||||

53 | ||||

54 | 6 | 8/10/2018-12/10/2018 | 2.6 Implicit Differentiation | |

55 | ||||

56 | 2.7 Linear Approximations and Differentials | |||

57 | ||||

58 | 3. APPLICATIONS OF DIFFERENTIATION | |||

59 | ||||

60 | 3.1 Related Rates | |||

61 | ||||

62 | Tutorial/Lab | |||

63 | ||||

64 | ||||

65 | 7 | 15/10/2018-19/10/2018 | 3.2 Analysis of Functions I | |

66 | Intervals of increasing and decreasing functions | |||

67 | Concavity and inflection points | |||

68 | ||||

69 | ||||

70 | 8 | 22/10/2018-26/10/2018 | 3.3 Analysis of Functions II | |

71 | Relative maxima and minima | |||

72 | Critical Numbers | |||

73 | First and Second Derivative Test | |||

74 | Graph of polynomial functions | |||

75 | ||||

76 | Tutorial/Lab | |||

77 | ||||

78 | ASSIGNMENT 1 | |||

79 | ||||

80 | ||||

81 | 9 | 29/10/2018-2/11/2018 | Graphs of rational functions (linear/linear) | |

82 | ||||

83 | 3.4 Maximum and Minimum Values | |||

84 | Absolute maxima and minima | |||

85 | ||||

86 | 3.5 Applied Maximum and Minimum Problems | |||

87 | ||||

88 | ||||

89 | 5/11/2018-11/11/2018 | Mid-Semester Break | ||

90 | ||||

91 | 6/11/2018 (Tuesday) | Deepavali | ||

92 | ||||

93 | ||||

94 | 10 | 12/11/2018-16/12/2018 | 3.6 Rolle's Theorem; Mean Value Theorem | |

95 | ||||

96 | 4. INTEGRATION | |||

97 | ||||

98 | 4.1 Antiderivatives | |||

99 | ||||

100 | 4.2 The indefinite integral | |||

101 | Algebraic functions and trigonometric functions | |||

102 | Exponential and logarithmic functions | |||

103 | ||||

104 | TEST 2 | |||

105 | ||||

106 | ||||

107 | 11 | 19/11/2018-23/11/2018 | 4.3 Integration by Substitution | |

108 | ||||

109 | 4.4 Sigma Notation | |||

110 | ||||

111 | 4.5 Area as a Limit and Definite Integrals | |||

112 | ||||

113 | Tutorial/Lab | |||

114 | ||||

115 | ||||

116 | 12 | 26/11/2018-30/11/2018 | Properties of Definite Integrals | |

117 | ||||

118 | 4.5 The Fundamental Theorem of Calculus | |||

119 | First fundamental theorem of calculus | |||

120 | Second funcdamental theorem of calculus | |||

121 | ||||

122 | Tutorial/Lab | |||

123 | ||||

124 | ASSIGNMENT 2 | |||

125 | ||||

126 | ||||

127 | 13 | 3/12/2018-7/12/2018 | Evaluating definite integrals by substitution | |

128 | ||||

129 | 5. APPLICATIONS OF INTEGRATION | |||

130 | ||||

131 | 5.1 Area Between Two Curves | |||

132 | ||||

133 | Tutorial/Lab | |||

134 | ||||

135 | ||||

136 | 14 | 10/12/2018-14/12/2018 | 5.2 Volume: Solids of Revolution | |

137 | Volume by disks method | |||

138 | Volume by washers method | |||

139 | Volume by cylindrical shells method | |||

140 | ||||

141 | TEST 3 | |||

142 | ||||

143 | ||||

144 | 17/12/2018-25/5/2018 | Revision Week | ||

145 | ||||

146 | 25/12/2018 (Tuesday) | Christmas | ||

147 | ||||

148 | 26/12/2019-20/1/2019 | Final Examination | ||

149 | ||||

150 | 21/1/2019-24/2/2019 | Semester Break | ||

151 | ||||

152 | Reference: https://hea.uitm.edu.my/v1/index.php?option=com_content&view=article&id=72&Itemid=70 | |||

153 | ||||

154 | Assessment: | |||

155 | Final examination – One 3-hour paper | : 60% | ||

156 | Continuous assessment | : 40% | ||

157 | Test 1 (10%) | : 10% | ||

158 | Test 2 (10%) | : 10% | ||

159 | Test 3 (10%) | : 10% | ||

160 | Assignment 1 | : 5% | ||

161 | Assignment 2 | : 5% | ||

162 | ||||

163 | Recommended Text: | |||

164 | James Stewart,David Busch, Calculus, 8, Brooks/Cole, 2016, ISBN: 9781305266728 | |||

165 | Nuru'l-Izzah Othman, Calculus I : Laboratory Manual in Maple 9, University Publication Centre (UPENA), 2007, ISBN: 983-3644-39-2 | |||

166 | 983-3644-39-2 | |||

167 | ||||

168 | References | |||

169 | Howard Anton, Irl C. Bivens, Stephen Davis, Calculus, 10, John Wiley & Sons, Inc, 2012, ISBN: 978-047064772 | |||

170 | George B. Thomas Jr., Maurice D. Weir, Joel R. Hass, Thomas' Calculus, 13, Addison-Wesley Pub. Com, 2013, ISBN: | |||

171 | 978-032188407 | |||

172 | Ron Larson and Bruce H. Edwards, Calculus, 10, Cengage Learning, 2013, ISBN: 978-128505709 | |||

173 | Karl J. Smith,Monty J. Strauss,Magdalena Daniele Toda, Calculus, 6, Kendall Hunt Publishing, 2013, ISBN: | |||

174 | 978-1465208880 | |||

175 | William Briggs,Lyle Cochran,Bernard Gillett, Calculus Early Transcendentals, Global Edition, 2, n/a, 2016, ISBN: | |||

176 | 978-1292062310 |