all numbers have a pattern

all patterns contain a message

all messages reveal a destiny(number23 movies)

calculus

TIF4102

any question?

BUDI DARMA SETIAWAN, S.Kom., M.CSs.budidarma@ub.ac.id

WIBISONO SUKMO WARDHONO, ST, MTwibiwardhono@ub.ac.id

Lecturer

BISON

WIBI

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

Complex NumberTrigonometriVectorSingle variable functionLimit Single variable differentialSingle variable integral

1First sight ...Calculus Introduction

Complex NumberTrigonometri-1

2Trigonometri-2

QUIZ-1

Concept of Number

1, 2, 3, 4, 5, 6, ...

naturalnumber

RoundedRational

Integer

..., -3, -2, -1, 0, 1, 2, 3, ...

roundednumber

How about the precision?

Real Number

3/4, -7/8, 21/5, 19/-2, 16/2, -17/1

rational

Every number formed by m/nHow about 5/0 or -9/0 ?

UNDEFINED

Real Number

3/4, -7/8, 21/5, 19/-2, 16/2, -17/1

rational

Every number formed by m/nfor n 0

Real Number

2, 5, 37, p

irrational

x2 6x + 9

x2 + 2x - 15

x2 + 2x + 5

f

f

x = 4 + j6

x = 3 j8 x = -5 x = - 6 j10 x = j12

x = a + jb

x = 3 j8

x1 = a + jb

x2 = c + jd

x1+x2=(a+c)+j(b+d)

(x-a)(x-b)(x-c) ... (x-z)

=

?

dsds(x-d)(x-e)(x-f) ...

(x-y)

(x-x)

0

0

Wibisono Sukmo Wardhono, ST, MThttp://wibiwardhono.lecture.ub.ac.id