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1 revision paper Final Exam Tutorials Communication

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1 1 revision paper Final Exam Tutorials Communication
15 Lecture in math 1 revision paper Final Exam Tutorials Communication

2 Administration

3 Giving back homework

4 Tutorials attendance

5 This Lecture Attendance

6 The actual lecture

7 Numbers Natural Integer Rational Irrational Real (include all the above) Complex (include all the above)

8 Fractions

9 Heaviside method

10 Eigenvalues

11 Algebra

12 Whole squared Squares difference Cubes sum and difference

13 Continuity Try to use continuous math because it is easier than the discrete math.

14 Limit

15 Missed Limits from Bahasa presentation

16 Inequalities

17 To solve the inequalities, graph the functions

18 To graph functions, you need to know functions, limits, derivatives, etc.

19 Functions

20 Algebraic functions

21 Transcendental functions

22 Graphing functions

23 Functions composition

24 Implicit function

25 Linear functions

26 Parallel lines

27 Perpendicular lines

28 Find the equations of parallel and perpendicular lines to y = 3x – 9 passing through the point (5, 2)

29 Quadratic functions

30 parabola (para+bola)

31 hyperbola (hyper+bola)

32 Ellipse

33 circumference

34 Vertices Foci Convexity Concavity

35 Many variables functions

36 Polar coordinates

37 Cylindrical coordinates

38 Spherical coordinates

39 3-D shapes

40 Complex valued functions

41 Euler equation

42 Modeling

43 Least squares

44 Exponential growth

45 Logarithmic scale

46 Professor Ismail’s models

47 Biological modeling

48 Predator-prey model

49 Lotka–Volterra equation
The Lotka–Volterra equations, also known as the predator–prey equations, are a pair of first-order, non-linear, differential equations frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey.

50 Logistic growth model

51 Complexity in biology

52 Fractals

53 Business modeling

54 Economics modeling

55 Financial math

56 Probability

57 Statistics

58 Stochastic processes

59 Order vs. chaos

60 Black-Scholes model

61 Derivative

62 Derivative as a limit

63 Derivatives for graphs plotting

64 Minimum, Maximum, concavity, convexity, Inflection through derivatives

65 Properties of derivatives
(fg)’ (f/g)’ etc.

66 Derivatives proofs

67 Differentiability

68 |x| derivative

69 Partial derivative

70 Total derivative

71 Inverse function derivative

72 Implicit function derivative

73 Applications of derivatives

74 Integral

75 Integral as a limit

76 Integrals are more complex than derivatives

77 Indefinite integral

78 Definite integral

79 Specific integrals

80 Applications of integration

81 Optimization

82 Linear programming (similar to 2D inequalities)

83 Non-linear programming

84 Series

85 π expressions using number series

86 Functional series

87 Taylor series

88 Use computers a lot in math

89 Graph the functions on the Internet

90 Find the solvers for limits, derivatives, integrals, etc
Find the solvers for limits, derivatives, integrals, etc. on the internet

91 Textbooks

92 See if there is anything in the textbooks, which you are interested in but do not understand

93 Forums

94 Videos

95 Decision making

96 Check your s

97 Visit my web sites: biomath.weebly.com etc.

98 Final Exam

99 1 revision paper from me

100 Revision

101 Total scores for each course (math, physics, etc.)

102 End of the actual lecture

103 Recommendations

104 ASEAN 2015

105 Accreditation of the University

106 me once a week.

107 Write how many times you attended tutorials.

108 Physics Take Home Exam must be completed if you do the physics course, deadline: 5 January 2015.

109 Firstly, study those topics of the subject, which are the most relevant to your major, so that you constantly practice what you study and do not forget it.

110 Your own code (computer programs) are expected by the people from you, thus, math is very important everywhere.

111 Let us meet on 6, 7, 8, 9, 12, 13, 14, 15, 16 January 2015, check the web sites.

112 Join the research projects

113 Work through the Internet

114 Find a Professor on the topic you like the most
Find a Professor on the topic you like the most. Cooperate with the Professor the best you can. Get money, recommendations, publications, etc. for the work.

115 You can have a very enjoyable life if you find interest in math

116 Enjoy the holiday


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