Kalkulus I I   (Jurusan Teknik Informatika)

Materi Pendukung untuk  - Kalkulus II  (TI)

 

Video Perkuliahan / Multimedia

Differential Equations

First Order Differntial Equations

Introduction to differential equations

http://www.youtube.com/watch?v=-_POEWfygmU&feature=channel

 

Separable Differential Equations (PD dengan Variabel Dapat Dipisahkan)

http://www.youtube.com/watch?v=C5-lz0hcqsE&feature=channel

 

Separable differential equations 2 (PD dengan Variabel Dapat Dipisahkan)

http://www.youtube.com/watch?v=xVWCfMe97ws&feature=channel

 

Solving Separable First Order Differential Equations - Ex 1 (PD dengan Variabel Dapat Dipisahkan)

http://www.youtube.com/watch?v=nNHlSB6b1HU

 

 

 

First order homegenous equations (PD Homgen)

http://www.youtube.com/watch?v=9Wfn-WWV1aY&feature=channel

 

First order homogenous equations 2  (PD Homogen)

http://www.youtube.com/watch?v=6YRGEsQWZzY&feature=channel

 

 

Exact Equations Example 1  (PD Eksak)

http://www.youtube.com/watch?v=Pb04ntcDJcQ&feature=channel

 

Exact Equations Example 2  (PD Eksak)

http://www.youtube.com/watch?v=utQi1ZhF__Q&feature=channel

 

Exact Equations Example 3  (PD Eksak)

http://www.youtube.com/watch?v=eu_GFuU7tLI&feature=channel

 

Integrating factors 1 (PD Tak Eksak Dapat Deksakkan)

http://www.youtube.com/watch?v=j511hg7Hlbg&feature=channel

 

Integrating factors 2  (PD Tak Eksak Dapat Deksakkan)

http://www.youtube.com/watch?v=0NyeDUhKwBE&feature=channel

 

First Order Linear Differential Equations  (PD Linear)

http://www.youtube.com/watch?v=Et4Y41ZNyao

 

First Order Differntial Equations (Example)  (PD Linear)

http://www.youtube.com/watch?v=9H2U_xONefU

 

 

 The 2nd-order Differential Equation

QM0.7: Solutions to the 2nd-order Differential Equation

http://www.youtube.com/watch?v=maTZZWbeYdw&feature=related

 

2nd Order Linear Homogeneous Differential Equations 1

http://www.youtube.com/watch?v=UFWAu8Ptth0&feature=related

 

2nd Order Linear Homogeneous Differential Equations 2

http://www.youtube.com/watch?v=SPVqgkOZMAc&feature=channel

 

2nd Order Linear Homogeneous Differential Equations 3

http://www.youtube.com/watch?v=UyCwAFQt4v0&feature=channel

 

2nd Order Linear Homogeneous Differential Equations 4

http://www.youtube.com/watch?v=3uO_uPb9H8w&feature=channel

 

Homogeneous Second Order Linear Differential Equations

http://www.youtube.com/watch?v=soU-zRdpsoA

 

Solution to a 2nd order, linear homogeneous ODE with repeated roots

http://www.youtube.com/watch?v=mTxqlmPWmeA

 

Complex roots of the characteristic equations 1

http://www.youtube.com/watch?v=6xEO4BeawzA&feature=related

Complex roots of the characteristic equations 2

http://www.youtube.com/watch?v=jJyRrIZ595c&feature=channel

Complex roots of the characteristic equations 3

http://www.youtube.com/watch?v=rGaM6pwqhB0&feature=channel

  

Undetermined Coefficients 1  (PD Linear order 2 Non Homogen)

http://www.youtube.com/watch?v=znE4Nq9NJCQ

 

Undetermined Coefficients 2  (PD Linear order 2 Non Homogen)

http://www.youtube.com/watch?v=hbJ2o9EUmJ0&feature=channel

 

High Order Differential Equations

http://www.youtube.com/watch?v=e6Dp1tOa5BQ

 

Differential Equations: Solving Differential Equations

http://www.youtube.com/watch?v=Pf71Kgh-qEU&feature=related

 

Solving a 1st order differential equation

http://www.youtube.com/watch?v=-eUbE7JFD94&NR=1

 

 

 

Materi Pendukung

Introduction and First Definitions

http://www.sosmath.com/diffeq/diffeq.html

 

Modeling via Differential Equations

http://www.sosmath.com/diffeq/modeling/modeling.html

 

Ordinary Differential Equations

http://www.efunda.com/math/ode/generalterms.cfm

 

Separable First Order Ordinary Differential Equations

http://www.efunda.com/math/ode/ode1_separable.cfm

 

Persamaan Diferensial Biasa Orde Satu

http://library.stttelkom.ac.id/refkuliah/Erwin_Budi/BAB%20II.pdf

 

 

 

 

Transformasi Laplace

Laplace Transform 1

http://www.youtube.com/watch?v=OiNh2DswFt4&feature=related

 

Laplace Transform 2

http://www.youtube.com/watch?v=33TYoybjqPg&feature=related

 

Laplace Transform 3 (L{sin(at)})

http://www.youtube.com/watch?v=gMcs6RF_LrQ&feature=channel

 

Laplace Transform 4

http://www.youtube.com/watch?v=-cApVwKR1Ps&feature=channel

 

Laplace Transform 5  (Transformasi Laplace Turunan)

http://www.youtube.com/watch?v=E2VxbufzuWQ&feature=channel

 

Laplace Transform 6  (Transformasi Laplace Turunan)

http://www.youtube.com/watch?v=fyJkXBvcA2Q&feature=channel

 

More Laplace Transform tools

http://www.youtube.com/watch?v=_X_QwpXsdOs&feature=channel

 

 

 

Laplace Transform - Part 1

http://www.youtube.com/watch?v=Wmr2_X8DHfQ

 

Laplace Transform - Part 2

http://www.youtube.com/watch?v=AvJq76_Xg94

 

Laplace Transform - Part 3

http://www.youtube.com/watch?v=Ur8eMceJv5g&feature=related

 

Laplace Transform - Part 4  (Integration Property)

http://www.youtube.com/watch?v=yWPTkSF_rmw

 

Laplace Transform - Part 5  (Translation Properties)

 

 

 

 

 

Lecture - 8 Laplace Transform (contd.)

http://www.youtube.com/watch?v=JLviqEDz5Ak&feature=related

 

Lecture - 9 Tutorial on Laplace Transform (Aplikasi Transformasi Laplace : Networks, Signals and Systems)

http://www.youtube.com/watch?v=O4TzaxziZ1I&feature=related

 

 

Lecture - 20 Laplace Transforms (1)

http://www.youtube.com/watch?v=ghz_puTV168&feature=channel

 

Lecture - 21 Laplace Transforms (2)

http://www.youtube.com/watch?v=vn4IVMStV6w&feature=channel

 

Lecture - 22 Laplace Transforms (3)

http://www.youtube.com/watch?v=jzptd3i_1IY&feature=channel

 

Lecture - 23 Laplace Transforms (4)

http://www.youtube.com/watch?v=LBaV3EyaOs0&feature=related

 

Lecture - 24 Laplace Transforms (5)

http://www.youtube.com/watch?v=-h0ZhCctSvw&feature=related

 

Lecture - 25 Laplace Transforms (6)

http://www.youtube.com/watch?v=VaI3_B2EF_A&feature=related

 

Lecture - 26 Application of Laplace Transforms (1)

http://www.youtube.com/watch?v=91hV7LsRUTI&feature=related

 

Lecture - 27 Application of Laplace Transforms (2)

http://www.youtube.com/watch?v=Dzfmo1U0NlM&feature=related

 

Lecture - 28 Application of Laplace Transforms (3)

http://www.youtube.com/watch?v=jEcG1G6udRs&feature=related

 

 

 

Laplace Transform to solve an equation (Aplikasi Transformasi Lapalce)

http://www.youtube.com/watch?v=3uYb-RhM7lU&feature=related

 

Laplace Transform solves an equation 2 (Aplikasi Transformasi Lapalce)

http://www.youtube.com/watch?v=EdQ7Q9VoF44

 

Integral Lipat Dua

Double Integral 1

http://www.youtube.com/watch?v=85zGYB-34jQ&feature=PlayList&p=19E79A0638C8D449&index=88

 

Double Integrals 2

http://www.youtube.com/watch?v=TdLD2Zh-nUQ&feature=PlayList&p=19E79A0638C8D449&index=89

 

Double Integrals 3

http://www.youtube.com/watch?v=z8BM6cHifPA&feature=PlayList&p=19E79A0638C8D449&index=90

 

Double Integrals 4

http://www.youtube.com/watch?v=twT-WZChfZ8&feature=PlayList&p=19E79A0638C8D449&index=91

 

Double Integrals 5

http://www.youtube.com/watch?v=hrIPO8mQqtw&feature=PlayList&p=19E79A0638C8D449&index=92

 

Double Integrals 6

http://www.youtube.com/watch?v=0pv0QtOi5l8&feature=PlayList&p=19E79A0638C8D449&index=93

 

Calculating a Double Integral

http://www.youtube.com/watch?v=DYsv6L-VcsQ

 

Calculating Double Integrals over General Regions

http://www.youtube.com/watch?v=k7ND70gFTLU

 

Multiple Integrals 1: Definition of the Double Integral

http://www.youtube.com/watch?v=MITWtjqV5js

 

Double Integral Using Polar Coordinates - Part 1 of 3

http://www.youtube.com/watch?v=sQM-8Oj4Ecg

 

Integral Garis dan Teorema Green

Line Integral - Green's Theorem

http://www.youtube.com/watch?v=P5LCSatuIvo

 

Line Integral - proof of Green's Theorem pt1

http://www.youtube.com/watch?v=8ozE7hyOMz4

 

Line Integral - proof of Green's Theorem pt2

http://www.youtube.com/watch?v=lKP5CW-QCi8&feature=related

 

Integral Garis dalam Ruang

Line integral example in 3D-space

http://www.youtube.com/watch?v=wMVGSHTN1nI

 

Line Integrals - Evaluating a Line Integral

http://www.youtube.com/watch?v=fjEvsinvtnw&feature=related

 

 

Luas Bidang Lengkung

Calculating Double Integrals over General Regions

http://www.youtube.com/watch?v=k7ND70gFTLU&feature=related

 

Multiple Integrals 1: Definition of the Double Integral

http://www.youtube.com/watch?v=MITWtjqV5js&feature=PlayList&p=3673118E04BC4962&index=35

 

 

Integral Lipat Tiga

triple integrals intro

http://www.youtube.com/watch?v=H9aBFy0zOJY

 

triple integrals example

http://www.youtube.com/watch?v=UAt8Q_-oYD8

 

Triple Integrals 1

http://www.youtube.com/watch?v=vr0sTKbV7lI

 

Triple Integrals 2

http://www.youtube.com/watch?v=vxQvL_WhBGU

 

Triple Integrals 3

http://www.youtube.com/watch?v=ZN2PfqZ4ihM&feature=PlayList&p=19E79A0638C8D449&playnext=1&index=96

 

Evaluating a Triple Integral

http://www.youtube.com/watch?v=zFy-OpajEtA&feature=related

 

Evaluating a Triple Integral in Spherical Coordinates

http://www.youtube.com/watch?v=UfLLmtdfO0M

 

Calculus 3 Tutor, Vol 2 - Triple Integrals Cylindrical

http://www.youtube.com/watch?v=xfYCnCn5ojc

 

 

Teorema Divergensi (Gauss)

Lecture 32 - Guass Divergence Theorem

http://www.youtube.com/watch?v=qSeYksmwjZc

 

Teorema Stokes

Lecture-20-Stokes Theorems

http://www.youtube.com/watch?v=Zr3lHeqzquI

 

Lecture 31 - Stokes Theorem

http://www.youtube.com/watch?v=1qLb0B40YnA

 

Transformasi Laplace

Laplace Transform 1

http://www.youtube.com/watch?v=OiNh2DswFt4&feature=related

 

Laplace Transform 2

http://www.youtube.com/watch?v=33TYoybjqPg&feature=channel

 

Laplace Transform 3 (L{sin(at)})

http://www.youtube.com/watch?v=gMcs6RF_LrQ&feature=channel

 

Laplace Transform 4

http://www.youtube.com/watch?v=-cApVwKR1Ps&feature=channel

 

Laplace Transform 5

http://www.youtube.com/watch?v=E2VxbufzuWQ&feature=channel

 

Laplace Transform 6

http://www.youtube.com/watch?v=fyJkXBvcA2Q&feature=channel

 

More Laplace Transform tools

http://www.youtube.com/watch?v=_X_QwpXsdOs&feature=channel

 

Laplace Transform to solve an equation

http://www.youtube.com/watch?v=3uYb-RhM7lU&feature=channel

 

Fourier Series

 

Lecture - 7 Fourier Series (1)

http://www.youtube.com/watch?v=U8riFeiiu3s&feature=related

 

Lecture - 8 Fourier Series (2)

http://www.youtube.com/watch?v=qhrfTPwBhBA&feature=channel

 

Lecture - 9 Fourier Series (3)

http://www.youtube.com/watch?v=bzyBy_TWaTw&feature=channel

 

Lecture - 10 Fourier Series (4)

http://www.youtube.com/watch?v=lDB7iEHwklg&feature=channel

 

Lecture - 11 Fourier Series (5)

http://www.youtube.com/watch?v=GKEPZAUiPtk&feature=channel

 

Lecture - 12 Fourier Series (6)

http://www.youtube.com/watch?v=_TqXBTKbK1E&feature=channel 

 

Lecture - 35 Fourier Series

http://www.youtube.com/watch?v=EdIzr4jluF4&feature=channel

 

Lecture - 36 Fourier Series (Contd.)

http://www.youtube.com/watch?v=hjhibzGyfqU&feature=channel

 

Fourier Analysis 1: Definition of the Fourier Series

http://www.youtube.com/watch?v=WScEpfGYQhY&NR=1

 

Sine Wave to Square Wave using Fourier Series

http://www.youtube.com/watch?v=y6crWlxKB_E&feature=related

 

 

Video Perkuliahan - Fourier Transforms

 

Lecture - 13 Fourier Transforms (1)

http://www.youtube.com/watch?v=6spPyJH6dkQ&feature=channel

 

Lecture - 14 Fourier Transforms (2)

http://www.youtube.com/watch?v=7AMcXT1AqtA&feature=channel

 

Lecture - 15 Fourier Transforms (3)

http://www.youtube.com/watch?v=H8hFqRn4GTw&feature=channel

 

Lecture - 16 Fourier Transforms (4)

http://www.youtube.com/watch?v=tLlXwMNbKrU&feature=channel

 

Lecture - 17 Fourier Transforms (5)

http://www.youtube.com/watch?v=nCKRCbNPmIc&feature=channel

 

Lecture - 18 Fourier Transforms (6)

http://www.youtube.com/watch?v=WMIGzqCKhyM&feature=channel

 

Lecture - 19 Fourier Transforms (7)

http://www.youtube.com/watch?v=IDgq1Z9Eu1M&feature=channel

 

 

Video Perkuliahan - Discrete Time Fourier Transform

 

Lecture - 8 Discrete Time Fourier Transform

http://www.youtube.com/watch?v=Q8wuqYsdnSs&feature=channel

 

Lecture - 9 Discrete Fourier Transform (DFT)

http://www.youtube.com/watch?v=GDFTb-BwA0o&feature=channel

 

Lecture - 10 DFT (Contd.)

http://www.youtube.com/watch?v=yAO2c7KKgAY&feature=channel

 

Lecture - 11 DFT (Contd.) Introduction to Z Transform

http://www.youtube.com/watch?v=qPpNYGAQf20&feature=channel

 

Lecture - 12 Z Transform

http://www.youtube.com/watch?v=gkC7cXa8ewk&feature=channel

 

Lecture - 13 Z Transform (Contd.)

http://www.youtube.com/watch?v=-I40RkgPg4s&feature=channel 

 

Lecture 38 Fast Fourier Transforms

http://www.youtube.com/watch?v=r4Pc-rGBRJA&feature=channel

 

 

 

Materi Pendukung

Visual Calculus (Sequences and Series)   Klik

Laplace Transform (Mathworld)   Klik

Laplace Transfromation   Klik

Symbolic Inverse Laplace Transform Applet (simulasi)   Klik

 

 

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