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Wibisono Sukmo Wardhono, ST, MT all numbers have a pattern.

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Presentation on theme: "Wibisono Sukmo Wardhono, ST, MT all numbers have a pattern."— Presentation transcript:

1 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id all numbers have a pattern

2 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id all patterns contain a message

3 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id all messages reveal a destiny (number23 movies)

4 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id calculus TIF4102

5 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id any question?

6 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id BUDI DARMA SETIAWAN, S.Kom., M.CS s.budidarma @ub.ac.id WIBISONO SUKMO WARDHONO, ST, MT wibiwardhono @ub.ac.id Lecturer BISONWIBI

7 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Purcell, E.J. & D. Valberg, Calculus with Analytic Geometry Anton, H., Calculus with Analytic Geometry, 5th ed. John Wiley & Sons Varberg, Dale; Edwin J. Purcell; Steven E. Rigdon. Calculus, 8th Edition, Prentice Hall Inc, 2000 Refference

8 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Complex Number Trigonometri Vector Single variable function Limit Single variable differential Single variable integral

9 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id 1 First sight... Calculus Introduction Complex Number Trigonometri-1

10 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id 2 Trigonometri-2 QUIZ-1

11 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Concept of Number 1, 2, 3, 4, 5, 6,... naturalnumber Rounded Rational

12 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Integer..., -3, -2, -1, 0, 1, 2, 3,... roundednumber How about the precision?

13 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Real Number 3/4, -7/8, 21/5, 19/-2, 16/2, -17/1 rational Every number formed by m/n How about 5/0 or  -9/0 ? UNDEFINE D

14 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Real Number 3/4, -7/8, 21/5, 19/-2, 16/2, -17/1 rational Every number formed by m/n for n  0

15 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id Real Number  2,  5, 3  7,  irrational

16 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

17 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

18 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id x 2 – 6x + 9

19 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id x 2 + 2x - 15

20 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

21 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id x 2 + 2x + 5

22 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id f f

23 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id x = 4 + j6

24 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id

25 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id x = 3 – j8 x = -5 x = - 6 – j10 x = j12

26 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id x = a + jb θ

27 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id x = 3 – j8

28 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id x 1 = a + jb x 2 = c + jd x 1 +x 2 =(a+c)+j(b+ d)

29 Wibisono Sukmo Wardhono, ST, MT http://wibiwardhono.lecture.ub.ac.id (x-a)(x-b)(x-c)... (x-z) = ? dsds (x-d)(x-e)(x-f)... (x-y)(x-y) (x-x)(x-x) 0 0


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