1. Clicking ▼&► to (un)fold the tree menu may facilitate locating what you want to find. 2. Videos embedded here do not necessarily represent my viewpoints or preferences. 3. This is just one of my several websites. Please click the category-tags below these two lines to go to each independent website.
2016-10-12
Exhibition Opening: “Towards a Critical Pragmatism: Contemporary Architecture in China"
source: Harvard GSD 2016年9月15日
This discussion marks the opening of the exhibition Towards a Critical Pragmatism: Contemporary Architecture in China, in the main gallery of Gund Hall. With the aim of encouraging further conversation about the present and future state of China’s architecture culture, the exhibition highlights several buildings in five thematic categories—cultural, regeneration, digital, rural, and residential—and showcases the architects’ commitment to conceptual criticality and quality of production. Curator Xiangning Li, visiting professor of architecture (spring 2016), will discuss the exhibition and the current situation with Michael Hays, Eliot Noyes Professor of Architectural Theory; Jing Liu, exhibition designer and principal of SO-IL; Antoine Picon, G. Ware Travelstead Professor of the History of Architecture and Technology; and Pei Zhu (Studio Pei-Zhu).
John Asher Johnson, "Hot on the Trail of Warm Planets Around Cool Stars"
source: Harvard University 2016年8月31日
Just three years ago the prospect of finding temperate, rocky worlds around other stars was still the subject of science fiction: none had been found and reasonable estimates put us years or decades away from such a momentous discovery. All of that has changed very recently on the heels of the extraordinarily successful NASA Kepler mission. By searching for the tiny diminutions of starlight indicative of an eclipsing planet, Kepler has produced thousands of new planet candidates orbiting distant stars. Careful statistical analyses have shown that the majority of these candidates are bona fide planets, and the number of planets increases sharply toward Earth-sized bodies. Even more remarkably, many of these planets are orbiting stars right “next door.” Professor Johnson describe the multi-telescope campaign to validate and characterize these tiny planetary systems, and presents some early, exciting results that point the way toward a large sample of Earth-sized planets in the habitable zones of nearby stars.
How the rubber glove was invented | Moments of Vision 4 - Jessica Oreck
source: TED-Ed 2016年10月11日
View full lesson: http://ed.ted.com/lessons/how-the-rub...
It’s hard to imagine a modern hospital being able to function without rubber gloves — but they weren’t actually invented until 1890. In the fourth installment of our ‘Moments of Vision’ series, Jessica Oreck shares the surprisingly romantic origin of rubber gloves.
Lesson and animation by Jessica Oreck.
Columbia World Leaders Forum - Her Excellency Isabel de Saint Malo de Alvarado of Panama
source: Columbia 2016年9月22日
In Low Library's Rotunda, Isabel de Saint Malo de Alvarado discusses Panama's economic development, its canal and the Panama Papers in her Columbia World Leaders Forum address. Nobel Prize-winning economist and Columbia Professor Joseph Stiglitz makes an appearance in the Q&A.
Humane Arts: Letter Writing by Wesley Cecil
source: Wes Cecil 2012年10月2日
The third lecture in the Humane arts lecture series discusses the importance of letter writing in intellectual history.
For information on upcoming lectures, essays, and books by Wesley Cecil Ph.D. go tohttp://www.facebook.com/HumaneArts
Electromagnetic Analysis Using Finite-Difference Time-Domain by Raymond C. Rumpf (U of Texas at El Paso)
# click the upper-left icon to select videos from the playlist
source: CEM Lectures 2014年4月1日
Lecture 0 (FDTD) -- Rules and policies This lecture discusses the rules and procedures for this course in finite-difference time-domain. 22:40
Lecture 1 (FDTD) -- Introduction 16:00
Lecture 2 (FDTD) -- MATLAB introduction and graphics 1:14:42
Lecture 3 (FDTD) -- Building geometries in data arrays 45:59
Lecture 4 (FDTD) -- Electromagnetics and FDTD 49:20
Lecture 5 (FDTD) -- Formulation of 1D FDTD 46:03
Lecture 6 (FDTD) -- Implementation of 1D FDTD 52:32
Lecture 7 (FDTD) -- Learning from 1D FDTD 55:49
Lecture 8 (FDTD) -- Review and walkthrough of 1D FDTD 52:59
Lecture 9 (FDTD) -- Examples of 1D FDTD 19:14
Lecture 10 (FDTD) -- Enhancing 1D FDTD 53:22
Lecture 11 (FDTD) -- Formulation of 2D FDTD without PML 36:00
Lecture 12 (FDTD) -- Windowing and grid techniques 55:15
Lecture 13 (FDTD) -- The Perfectly Matched Layer 58:26
Lecture 14 (FDTD) -- 3D Update Equations with PML 22:21
Lecture 15 (FDTD) -- Implementation of 2D FDTD 35:03
Lecture 16 (FDTD) -- Gratings and the Plane Wave Spectrum 50:37
Lecture 17 (FDTD) -- Power flow and PML placement 59:10
Lecture 18 (FDTD) -- Metals and alternative grids 38:57
Lecture 19 (FDTD) -- Periodic structures in FDTD 52:52
Lecture 20 (FDTD) -- Waveguide analysis 46:17
Lecture 22 (FDTD) -- Waveguide simulation walkthrough 41:15
Lecture 23 (FDTD) -- 3D FDTD 35:03
FDTD-1D (Step 1 of 6) -- Basic FDTD Engine 21:19
FDTD-1D (Step 2 of 6) -- Add a simple Gaussian soft source 18:01
FDTD-1D (Step 3 of 6) -- Add perfectly absorbing boundary condition 7:57
FDTD-1D (Step 4 of 6) -- Add a total-field/scattered-field source 9:04
FDTD-1D (Step 5 of 6) -- Add reflectance and transmittance calculations 22:00
FDTD-1D (Step 6 of 6) -- Add a device 17:01
source: CEM Lectures 2014年4月1日
Lecture 0 (FDTD) -- Rules and policies This lecture discusses the rules and procedures for this course in finite-difference time-domain. 22:40
Lecture 1 (FDTD) -- Introduction 16:00
Lecture 2 (FDTD) -- MATLAB introduction and graphics 1:14:42
Lecture 3 (FDTD) -- Building geometries in data arrays 45:59
Lecture 4 (FDTD) -- Electromagnetics and FDTD 49:20
Lecture 5 (FDTD) -- Formulation of 1D FDTD 46:03
Lecture 6 (FDTD) -- Implementation of 1D FDTD 52:32
Lecture 7 (FDTD) -- Learning from 1D FDTD 55:49
Lecture 8 (FDTD) -- Review and walkthrough of 1D FDTD 52:59
Lecture 9 (FDTD) -- Examples of 1D FDTD 19:14
Lecture 10 (FDTD) -- Enhancing 1D FDTD 53:22
Lecture 11 (FDTD) -- Formulation of 2D FDTD without PML 36:00
Lecture 12 (FDTD) -- Windowing and grid techniques 55:15
Lecture 13 (FDTD) -- The Perfectly Matched Layer 58:26
Lecture 14 (FDTD) -- 3D Update Equations with PML 22:21
Lecture 15 (FDTD) -- Implementation of 2D FDTD 35:03
Lecture 16 (FDTD) -- Gratings and the Plane Wave Spectrum 50:37
Lecture 17 (FDTD) -- Power flow and PML placement 59:10
Lecture 18 (FDTD) -- Metals and alternative grids 38:57
Lecture 19 (FDTD) -- Periodic structures in FDTD 52:52
Lecture 20 (FDTD) -- Waveguide analysis 46:17
Lecture 22 (FDTD) -- Waveguide simulation walkthrough 41:15
Lecture 23 (FDTD) -- 3D FDTD 35:03
FDTD-1D (Step 1 of 6) -- Basic FDTD Engine 21:19
FDTD-1D (Step 2 of 6) -- Add a simple Gaussian soft source 18:01
FDTD-1D (Step 3 of 6) -- Add perfectly absorbing boundary condition 7:57
FDTD-1D (Step 4 of 6) -- Add a total-field/scattered-field source 9:04
FDTD-1D (Step 5 of 6) -- Add reflectance and transmittance calculations 22:00
FDTD-1D (Step 6 of 6) -- Add a device 17:01
Cybercrime: Hacking Goes Way Beyond Simple Identity Theft | Marc Goodman
source: Big Think 2016年9月3日
Do you know how your iPhone works? Because cybercriminals do. Futurist and global security advisor Marc Goodman explains how our void in tech knowledge lets hackers have a field day, and how to make yourself less vulnerable. Goodman's latest book is "Future Crimes: Inside the Digital Underground and the Battle for Our Connected World" (http://goo.gl/tw9EIi).
Read more at BigThink.com: http://bigthink.com/videos/marc-goodm...
Transcript - Technology can be used against us in ways that we don’t understand. Most people in our modern society have become expert users of technology but they have no idea how things operate under the hood. This is true of all generations, particularly with millennials. People think millennials are great with tech and it’s true they’re expert users. But when it comes to understanding the science of technology, the computer and science and the electrical engineering that goes into making a particular app work most people are clueless. And the challenge of that is that there are people in our world who know how technology works. The people who create those tools out in Silicon Valley and elsewhere and then other people who take the time to educate themselves. Whether it be people who have studied it professionally or on their own but in particular even criminals and terrorists and rogue governments have worked on these tools, decompiled them, deconstructed them and the fact of the matter is most criminals understand your iPhone better than you do and can use it against you.
When people think of cybercrime or computer crime they always think of the basics. My credit card number got hacked. My identity was stolen. That type of stuff. It’s so common these days to tap into most people at one point in their life or another. But there are so many other things that criminals can do with technology that the average person wouldn’t even realize. So let’s take your mobile phone for example. There was an android exploit that came out recently called Stagefright and just by sending a text message to an individual on an android phone anybody who read those messages or clicked on the links their mobile phone could be taken over in an instant. The fascinating thing about it is is that it affected one billion android users across the world. So just one hacker could have taken over a billion android devices. And once they have access to the devices not only can they read everything that you type, get access to your entire address book, see every photograph private or not that you may have ever taken on your phone. They can get access to all your social media accounts, capture your email address and your log on credentials and password for all of your financial apps, for your bank accounts, investment accounts and the like. And they can even track you physically in the world and know where you are at any particular time. Read Full Transcript Here: http://goo.gl/PqYnyq.
Philosophy of Art by Kane B
# click the up-left corner to select videos from the playlist
source: Kane B 2015年4月10日
1 Philosophy of Art - The Paradox of Fiction 1 41:01
2 Philosophy of Art - The Paradox of Fiction 2 45:05
3 Philosophy of Art - The Paradox of Tragedy 1 37:43
4 Philosophy of Art - The Paradox of Tragedy 2 43:08
5 Art and Ethics 1 - Introduction 12:28
6 Art and Ethics 2 - Autonomism 31:12
7 Art and Ethics 3 - Moralism 38:55
8 Art and Ethics 4 - Variabilism 33:14
9 John Cage's 4'33" 28:20
10 42:36 Realism and Transparency
11 28:40 The Paradox of Pornography
source: Kane B 2015年4月10日
1 Philosophy of Art - The Paradox of Fiction 1 41:01
2 Philosophy of Art - The Paradox of Fiction 2 45:05
3 Philosophy of Art - The Paradox of Tragedy 1 37:43
4 Philosophy of Art - The Paradox of Tragedy 2 43:08
5 Art and Ethics 1 - Introduction 12:28
6 Art and Ethics 2 - Autonomism 31:12
7 Art and Ethics 3 - Moralism 38:55
8 Art and Ethics 4 - Variabilism 33:14
9 John Cage's 4'33" 28:20
10 42:36 Realism and Transparency
11 28:40 The Paradox of Pornography
Lucy Kalanithi: "When Breath Becomes Air" | Talks at Google
source: Talks at Google 2016年9月9日
Dr. Paul Kalanithi’s wrote the #1 New York Times bestselling memoir -- When Breath Becomes Air. Kalanithi was a neurosurgery resident at Stanford and a loving husband when he was suddenly diagnosed with stage IV lung cancer. He died two years later at the age of 37, eight months after his infant daughter was born. His critically acclaimed memoir, finished with the help of his widow, Dr. Lucy Kalanithi, is a profound, searingly honest, and ultimately life-affirming meditation on the challenge of facing death and the relationship between doctor and patient.
What makes life worth living in the face of death? What do you do when the future, no longer a ladder toward your goals in life, flattens out into a perpetual present? What does it mean to have a child, to nurture a new life as another fades away? These are some of the questions Kalanithi wrestles with in this profoundly moving, exquisitely observed memoir. Paul Kalanithi died in March 2015, while working on this book, yet his words live on as a guide and a gift to us all. “I began to realize that coming face to face with my own mortality, in a sense, had changed nothing and everything,” he wrote. “Seven words from Samuel Beckett began to repeat in my head: ‘I can’t go on. I’ll go on.’”
This video: In Conversation with Lucy Kalanithi and Saurabh Madaan as Lucy talks about the process of shepherding Paul’s words and ideas into the world.
Get the book here: http://goo.gl/8LSJ6a
A Brief History of Tomorrow | Yuval Harari | RSA Replay
source: The RSA 2016年9月8日
A Brief History of Tomorrow with bestselling author Yuval Harari. What is the next stage of human evolution? How will we protect this fragile planet and humankind itself from our own destructive powers?
We are delighted to be welcoming Yuval Noah Harari - bestselling author of Sapiens: A Brief History of Humankind – for his second much-anticipated RSA appearance. Where Sapiens was a wide-ranging exploration of humankind’s history, in his new work Homo Deus he envisions our future: a not-too-distant world in which we face a new set of challenges and possibilities.
With his trademark blend of science, history, philosophy and every discipline in between, Harari will investigate the projects, dreams and nightmares that will shape the twenty-first century – from overcoming death to creating artificial life.
Indigenous EcoPsychology, Part One: On Being Human, with Glenn Aparicio Parry
source: New Thinking Allowed 2015年11月23日
Glenn Aparicio Parry, PhD, is author of Original Thinking: A Radical Revisioning of Time, Humanity, and Nature. He is the founder and director of the Circle for Original Thinking, a think tank based in Albuquerque, New Mexico.
Here he describes his participation, for over a decade, in a series of dialogues between native American elders, academic linguists, and theoretical physicists. These meetings caused him to question very basic notions such as the nature of time. Native Americans tend to see time as circular rather than linear. He also notes that, in modern western culture, humans believe themselves to be separate from nature, whereas native Americans see themselves as part of nature. He points out that native American languages emphasize process. They have many verbs and few nouns. This was in accord with the thinking of the physicists. He discusses the role of dreams in shaping our view of reality. He challenges the notion that we can “conquer” nature.
New Thinking Allowed host, Jeffrey Mishlove, PhD, is author of The Roots of Consciousness, Psi Development Systems, and The PK Man. Between 1986 and 2002 he hosted and co-produced the original Thinking Allowed public television series. He is the recipient of the only doctoral diploma in "parapsychology" ever awarded by an accredited university (University of California, Berkeley, 1980). He serves as dean of transformational psychology at the University of Philosophical Research. He teaches parapsychology for ministers in training with the Centers for Spiritual Living through the Holmes Institute. He has served as vice-president of the Association for Humanistic Psychology, and is the recipient of its Pathfinder Award for outstanding contributions to the field of human consciousness. He is also past-president of the non-profit Intuition Network, an organization dedicated to creating a world in which all people are encouraged to cultivate and apply their inner, intuitive abilities. His American Indian name, chosen at age eight, is Soaring Eagle.
(Recorded on November 14, 2015)
Consciousness: Neuromania & Darwinitis (Raymond Tallis)
source: Philosophical Overdose 2013年1月18日
In this talk, Professor Raymond Tallis argues against what he calls Neuromania & Darwinitis regarding consciousness, free will, the self, values, and intentionality. According to Tallis, Neuromania is based on the incorrect notion that human consciousness is identical with activity in the brain, that people are their brains, and that societies are best understood as collections of brains. Although the brain is a necessary condition of every aspect of human consciousness, it is not a sufficient condition -- which is why neuroscience, and the materialist philosophy upon which it is based, fails to capture the human person. And since the brain is an evolved organism, Neuromania leads to Darwinitis, the assumption that, since Darwin demonstrated the biological origins of the organism Homo sapiens, we should look to evolutionary theory to understand what we are now; that our biological roots explain our cultures leaves.
This talk was given at the University of Hertfordshire.
A. Deb: Numerical Methods in Civil Engineering (IIT Kharagpur)
# playlist of the 40 videos (click the up-left corner of the video)
source: nptelhrd 2014年3月24日
Civil - Numerical Methods in Civil Engineering by Dr. A. Deb, Department of Civil Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.ac.in
01 Introduction to Numerical Methods 46:06
02 Error Analysis 55:15
03 Introduction to Linear Systems 54:02
04 Linear Systems - II 52:47
05 Linear Systems - III 55:09
06 Linear Systems - Error Bounds 54:54
07 Error Bounds and Iterative Methods for Solving Linear Systems 56:43
08 Iterative Methods for Solving Linear Systems 54:23
09 Iterative Methods - II 53:42
10 Iterative Methods - III 56:42
11 Iterative Methods for Eigen Value Extraction 53:49
12 Solving Nonlinear Equations 56:25
13 Solving Nonlinear Equations - II 55:09
14 Solving Multi Dimensional Nonlinear Equations 55:03
15 Solving Multi Dimensional Nonlinear Equations - II 54:58
16 ARC Length and Gradient Based Methods 55:08
17 Gradient Based Methods 53:36
18 Conjugate Gradient Method 55:24
19 Conjugate Gradient Method - II 55:49
20 Nonlinear Conjugate Gradient and Introduction to PDEs 54:07
21 Eigenfunction Solutions for the Wave Equation 53:49
22 Analytical Methods for Solving the Wave Equation 54:55
23 Analytical Methods for Hyoerbolic and Parabolic PDEs 54:43
24 Analytical Methods for Parabolic and Elliptic PDEs 53:58
25 Analytical Methods for Elliptic PDEs 57:13
26 Series Solutions for Elliptic PDE's and Introduction to Differential Operators 54:46
27 Differential Operators 53:16
28 Differential Operators - II 54:47
29 Differential Operators - III 54:34
30 Interpolation 56:46
31 Polynomial Fitting 56:48
32 Orthogonal Polynomials 54:50
33 Orthogonal Polynomials - II 54:10
34 Orthogonal Polynomials - III 53:57
35 Spline Functions 55:53
36 Orthogonal Basis Functions for Solving PDE's 55:21
40 Integral Equations - III 45:29
37 Orthogonal Basis Functions for Solving PDE\\\'s - II 52:28
38 Integral Equations 55:57
39 Integral Equations - II 52:36
source: nptelhrd 2014年3月24日
Civil - Numerical Methods in Civil Engineering by Dr. A. Deb, Department of Civil Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.ac.in
01 Introduction to Numerical Methods 46:06
02 Error Analysis 55:15
03 Introduction to Linear Systems 54:02
04 Linear Systems - II 52:47
05 Linear Systems - III 55:09
06 Linear Systems - Error Bounds 54:54
07 Error Bounds and Iterative Methods for Solving Linear Systems 56:43
08 Iterative Methods for Solving Linear Systems 54:23
09 Iterative Methods - II 53:42
10 Iterative Methods - III 56:42
11 Iterative Methods for Eigen Value Extraction 53:49
12 Solving Nonlinear Equations 56:25
13 Solving Nonlinear Equations - II 55:09
14 Solving Multi Dimensional Nonlinear Equations 55:03
15 Solving Multi Dimensional Nonlinear Equations - II 54:58
16 ARC Length and Gradient Based Methods 55:08
17 Gradient Based Methods 53:36
18 Conjugate Gradient Method 55:24
19 Conjugate Gradient Method - II 55:49
20 Nonlinear Conjugate Gradient and Introduction to PDEs 54:07
21 Eigenfunction Solutions for the Wave Equation 53:49
22 Analytical Methods for Solving the Wave Equation 54:55
23 Analytical Methods for Hyoerbolic and Parabolic PDEs 54:43
24 Analytical Methods for Parabolic and Elliptic PDEs 53:58
25 Analytical Methods for Elliptic PDEs 57:13
26 Series Solutions for Elliptic PDE's and Introduction to Differential Operators 54:46
27 Differential Operators 53:16
28 Differential Operators - II 54:47
29 Differential Operators - III 54:34
30 Interpolation 56:46
31 Polynomial Fitting 56:48
32 Orthogonal Polynomials 54:50
33 Orthogonal Polynomials - II 54:10
34 Orthogonal Polynomials - III 53:57
35 Spline Functions 55:53
36 Orthogonal Basis Functions for Solving PDE's 55:21
40 Integral Equations - III 45:29
37 Orthogonal Basis Functions for Solving PDE\\\'s - II 52:28
38 Integral Equations 55:57
39 Integral Equations - II 52:36
P. D. Srivastava: A Basic Course in Real Analysis (IIT Kharagpur)
# playlist of the 46 videos (click the up-left corner of the video)
source: nptelhrd 2013年7月2日
Mathematics - A Basic Course in Real Analysis by Prof. P. D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Mod-01 Lec-01 Rational Numbers and Rational Cuts 52:37
Mod-02 Lec-02 Irrational numbers, Dedekind's Theorem 54:42
Mod-03 Lec-03 Continuum and Exercises 56:11
Mod-03 Lec-04 Continuum and Exercises (Contd.) 55:00
Mod-04 Lec-05 Cantor's Theory of Irrational Numbers 53:08
Mod-04 Lec-06 Cantor's Theory of Irrational Numbers (Contd.) 55:06
Mod-05 Lec-07 Equivalence of Dedekind and Cantor's Theory 54:37
Mod-06 Lec-08 Finite, Infinite, Countable and Uncountable Sets of Real Numbers 55:18
Mod-07 Lec-09 Types of Sets with Examples, Metric Space 55:02
Mod-08 Lec-10 Various properties of open set, closure of a set 55:20
Mod-09 Lec-11 Ordered set, Least upper bound, greatest lower bound of a set 56:22
Mod-10 Lec-12 Compact Sets and its properties 55:44
Mod-11 Lec-13 Weiersstrass Theorem, Heine Borel Theorem, Connected set 56:08
Mod-12 Lec-14 Tutorial - II 56:13
Mod-13 Lec-15 Concept of limit of a sequence 54:51
Mod-14 Lec-16 Some Important limits, Ratio tests for sequences of Real Numbers 51:48
Mod-15 Lec-17 Cauchy theorems on limit of sequences with examples 54:15
Mod-16 Lec-18 Fundamental theorems on limits, Bolzano-Weiersstrass Theorem 54:36
Mod-17 Lec-19 Theorems on Convergent and divergent sequences 52:42
Mod-18 Lec-20 Cauchy sequence and its properties 53:53
Mod-19 Lec-21 Infinite series of real numbers 53:16
Mod-20 Lec-22 Comparison tests for series, Absolutely convergent and Conditional convergent series 54:53
Mod-21 Lec-23 Tests for absolutely convergent series 53:01
Mod-22 Lec-24 Raabe's test, limit of functions, Cluster point 57:20
Mod-23 Lec-25 Some results on limit of functions 53:36
Mod-24 Lec-26 Limit Theorems for functions 54:09
Mod-25 Lec-27 Extension of limit concept (one sided limits) 52:26
Mod-26 Lec-28 Continuity of Functions 54:22
Mod-27 Lec-29 Properties of Continuous Functions 54:07
Mod-28 Lec-30 Boundedness Theorem, Max-Min Theorem and Bolzano's theorem 56:25
Mod-29 Lec-31 Uniform Continuity and Absolute Continuity 53:41
Mod-30 Lec-32 Types of Discontinuities, Continuity and Compactness 55:55
Mod-31 Lec-33 Continuity and Compactness (Contd.), Connectedness 55:59
Mod-32 Lec-34 Differentiability of real valued function, Mean Value Theorem 53:52
Mod-33 Lec-35 Mean Value Theorem (Contd.) 56:46
Mod-34 Lec-36 Application of MVT , Darboux Theorem, L Hospital Rule 52:54
Mod-35 Lec-37 L'Hospital Rule and Taylor's Theorem 54:06
Mod-36 Lec-38 Tutorial - III 52:42
Mod-37 Lec-39 Riemann/Riemann Stieltjes Integral 53:03
Mod-38 Lec-40 Existence of Reimann Stieltjes Integral 55:39
Mod-39 Lec-41 Properties of Reimann Stieltjes Integral 54:35
Mod-39 Lec-42 Properties of Reimann Stieltjes Integral (Contd.) 56:45
Mod-40 Lec-43 Definite and Indefinite Integral 55:39
Mod-41 Lec-44 Fundamental Theorems of Integral Calculus 52:12
Mod-42 Lec-45 Improper Integrals 55:53
Mod-43 Lec-46 Convergence Test for Improper Integrals 53:47
source: nptelhrd 2013年7月2日
Mathematics - A Basic Course in Real Analysis by Prof. P. D. Srivastava, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
Mod-01 Lec-01 Rational Numbers and Rational Cuts 52:37
Mod-02 Lec-02 Irrational numbers, Dedekind's Theorem 54:42
Mod-03 Lec-03 Continuum and Exercises 56:11
Mod-03 Lec-04 Continuum and Exercises (Contd.) 55:00
Mod-04 Lec-05 Cantor's Theory of Irrational Numbers 53:08
Mod-04 Lec-06 Cantor's Theory of Irrational Numbers (Contd.) 55:06
Mod-05 Lec-07 Equivalence of Dedekind and Cantor's Theory 54:37
Mod-06 Lec-08 Finite, Infinite, Countable and Uncountable Sets of Real Numbers 55:18
Mod-07 Lec-09 Types of Sets with Examples, Metric Space 55:02
Mod-08 Lec-10 Various properties of open set, closure of a set 55:20
Mod-09 Lec-11 Ordered set, Least upper bound, greatest lower bound of a set 56:22
Mod-10 Lec-12 Compact Sets and its properties 55:44
Mod-11 Lec-13 Weiersstrass Theorem, Heine Borel Theorem, Connected set 56:08
Mod-12 Lec-14 Tutorial - II 56:13
Mod-13 Lec-15 Concept of limit of a sequence 54:51
Mod-14 Lec-16 Some Important limits, Ratio tests for sequences of Real Numbers 51:48
Mod-15 Lec-17 Cauchy theorems on limit of sequences with examples 54:15
Mod-16 Lec-18 Fundamental theorems on limits, Bolzano-Weiersstrass Theorem 54:36
Mod-17 Lec-19 Theorems on Convergent and divergent sequences 52:42
Mod-18 Lec-20 Cauchy sequence and its properties 53:53
Mod-19 Lec-21 Infinite series of real numbers 53:16
Mod-20 Lec-22 Comparison tests for series, Absolutely convergent and Conditional convergent series 54:53
Mod-21 Lec-23 Tests for absolutely convergent series 53:01
Mod-22 Lec-24 Raabe's test, limit of functions, Cluster point 57:20
Mod-23 Lec-25 Some results on limit of functions 53:36
Mod-24 Lec-26 Limit Theorems for functions 54:09
Mod-25 Lec-27 Extension of limit concept (one sided limits) 52:26
Mod-26 Lec-28 Continuity of Functions 54:22
Mod-27 Lec-29 Properties of Continuous Functions 54:07
Mod-28 Lec-30 Boundedness Theorem, Max-Min Theorem and Bolzano's theorem 56:25
Mod-29 Lec-31 Uniform Continuity and Absolute Continuity 53:41
Mod-30 Lec-32 Types of Discontinuities, Continuity and Compactness 55:55
Mod-31 Lec-33 Continuity and Compactness (Contd.), Connectedness 55:59
Mod-32 Lec-34 Differentiability of real valued function, Mean Value Theorem 53:52
Mod-33 Lec-35 Mean Value Theorem (Contd.) 56:46
Mod-34 Lec-36 Application of MVT , Darboux Theorem, L Hospital Rule 52:54
Mod-35 Lec-37 L'Hospital Rule and Taylor's Theorem 54:06
Mod-36 Lec-38 Tutorial - III 52:42
Mod-37 Lec-39 Riemann/Riemann Stieltjes Integral 53:03
Mod-38 Lec-40 Existence of Reimann Stieltjes Integral 55:39
Mod-39 Lec-41 Properties of Reimann Stieltjes Integral 54:35
Mod-39 Lec-42 Properties of Reimann Stieltjes Integral (Contd.) 56:45
Mod-40 Lec-43 Definite and Indefinite Integral 55:39
Mod-41 Lec-44 Fundamental Theorems of Integral Calculus 52:12
Mod-42 Lec-45 Improper Integrals 55:53
Mod-43 Lec-46 Convergence Test for Improper Integrals 53:47
G. P. Raja Sekhar: Numerical methods of Ordinary and Partial (IIT Kharagpur)
# playlist of the 40 videos (click the up-left corner of the video)
source: nptelhrd 2013年7月22日
Mathematics - Numerical methods of Ordinary and Partial Differential Equations by Prof. Dr. G. P. Raja Sekhar, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
01 Motivation with few Examples 53:54
02 Single - Step Methods for IVPs 55:02
03 Analysis of Single Step Methods 55:51
04 Runge - Kutta Methods for IVPs 56:09
05 Higher Order Methods/Equations 55:38
06 Error - Stability - Convergence of Single Step Methods 58:04
07 Tutorial - I 58:36
08 Lec-08 Tutorial - II 57:24
09 Multi-Step Methods (Explicit) 55:09
10 Multi-Step Methods (Implicit) 53:49
11 Convergence and Stability of multi step methods 59:21
12 General methods for absolute stability 56:45
13 Stability Analysis of Multi Step Method 54:37
14 Predictor - Corrector Methods 57:26
15 Some Comments on Multi - Step Methods 55:24
16 Finite Difference Methods - Linear BVPs 58:24
17 Linear/Non - Linear Second Order BVPs 56:34
18 BVPS - Derivative Boundary Conditions 55:29
19 Higher Order BVPs 58:04
20 Shooting Method BVPs 59:23
21 Tutorial - III 57:45
22 Introduction to First Order PDE 53:03
23 Introduction to Second Order PDE 57:11
24 Finite Difference Approximations to Parabolic PDEs 56:58
25 Implicit Methods for Parabolic PDEs 55:17
26 Consistency, Stability and Convergence 54:48
27 Other Numerical Methods for Parabolic PDEs 57:55
28 Tutorial - IV 55:28
29 Matrix Stability Analysis of Finite Difference Scheme 53:50
30 Fourier Series Stability Analysis of Finite Difference Scheme 53:01
31 Finite Difference Approximations to Elliptic PDEs- I 53:16
32 Finite Difference Approximations to Elliptic PDEs - II 58:09
33 Finite Difference Approximations to Elliptic PDEs - III 57:48
34 Finite Difference Approximations to Elliptic PDEs - IV 57:26
35 Finite Difference Approximations to Hyperbolic PDEs - I 57:46
36 Finite Difference Approximations to Hyperbolic PDEs - II 56:37
37 Method of characteristics for Hyperbolic PDEs - I 55:07
38 Method of characteristics of Hyperbolic PDEs - II 59:28
39 Finite Difference Approximations to 1st order Hyperbolic PDEs 54:41
40 Summary, Appendices, Remarks 55:28
source: nptelhrd 2013年7月22日
Mathematics - Numerical methods of Ordinary and Partial Differential Equations by Prof. Dr. G. P. Raja Sekhar, Department of Mathematics, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in
01 Motivation with few Examples 53:54
02 Single - Step Methods for IVPs 55:02
03 Analysis of Single Step Methods 55:51
04 Runge - Kutta Methods for IVPs 56:09
05 Higher Order Methods/Equations 55:38
06 Error - Stability - Convergence of Single Step Methods 58:04
07 Tutorial - I 58:36
08 Lec-08 Tutorial - II 57:24
09 Multi-Step Methods (Explicit) 55:09
10 Multi-Step Methods (Implicit) 53:49
11 Convergence and Stability of multi step methods 59:21
12 General methods for absolute stability 56:45
13 Stability Analysis of Multi Step Method 54:37
14 Predictor - Corrector Methods 57:26
15 Some Comments on Multi - Step Methods 55:24
16 Finite Difference Methods - Linear BVPs 58:24
17 Linear/Non - Linear Second Order BVPs 56:34
18 BVPS - Derivative Boundary Conditions 55:29
19 Higher Order BVPs 58:04
20 Shooting Method BVPs 59:23
21 Tutorial - III 57:45
22 Introduction to First Order PDE 53:03
23 Introduction to Second Order PDE 57:11
24 Finite Difference Approximations to Parabolic PDEs 56:58
25 Implicit Methods for Parabolic PDEs 55:17
26 Consistency, Stability and Convergence 54:48
27 Other Numerical Methods for Parabolic PDEs 57:55
28 Tutorial - IV 55:28
29 Matrix Stability Analysis of Finite Difference Scheme 53:50
30 Fourier Series Stability Analysis of Finite Difference Scheme 53:01
31 Finite Difference Approximations to Elliptic PDEs- I 53:16
32 Finite Difference Approximations to Elliptic PDEs - II 58:09
33 Finite Difference Approximations to Elliptic PDEs - III 57:48
34 Finite Difference Approximations to Elliptic PDEs - IV 57:26
35 Finite Difference Approximations to Hyperbolic PDEs - I 57:46
36 Finite Difference Approximations to Hyperbolic PDEs - II 56:37
37 Method of characteristics for Hyperbolic PDEs - I 55:07
38 Method of characteristics of Hyperbolic PDEs - II 59:28
39 Finite Difference Approximations to 1st order Hyperbolic PDEs 54:41
40 Summary, Appendices, Remarks 55:28
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