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approximation

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  • Polynomial approximation of functions (part 1) Using a polynomial to approximate a function at f(0).
  • linear approximation Example of using a linear approximation to approximate a specific function (ln)
  • The Big Bang Theory - 'The Einstein Approximation' Preview Sheldon's search for the answer to a physics problem leads him to work at the Cheesecake Factory with Penny, on THE BIG BANG THEORY, Monday, Feb. 1
  • Visualizing Taylor Series Approximations Using Wolfram Alpha to approximate sin(x)
  • Approximating functions with polynomials (part 3) A glimpse of the mystery of the Universe as we approximate e^x with an infinite series.
  • Approximating a Definite Integral Using Rectangles Approximating a Definite Integral Using Rectangles - Here I use 4 rectangles and left endpoints as well as midpoints to approximate the area underneath 16-x^2 from x = 0 to x = 2. For more free math videos, visit
  • Dr. Nilima Nigam: high-order FEM approximation on pyramids SFU Canada Research Chairs Seminar Series: "At the confluence of exterior calculus, approximation theory and numerical ***ysis: high-order FEM approximation on pyramids" Nilima Nigam Canada Research Chair in Applied Mathematics, Department Of Mathematics Feb 24, 2011 The finite element method is a popular technique for approximating weak solutions of PDE, particularly in the presence of geometric or structural features. Typically a physical domain is tessellated ('meshed') by either tetrahedral or hexahedral subdomains, and the global solution is approximated from locally-defined bases. High order approximation is achieved by a combination of mesh refinement and increased order of (local) approximants. How does one choose appropriate approximation spaces with a view to accuracy, stability and efficiency? This question has spurred an explosion of research over the last 4 decades, and recently been addressed in a systematic and elegant fashion by the finite element exterior calculus. In essence, discrete approximants must satisfy a discrete exact sequence property akin to the deRham sequence at the continuous level, and interpolants must allow for this pair of sequences to have a 'commuting diagram' property. Certain applications necessitate hybrid meshes consisting of both hexahedral and tetrahedral elements, which must then be glued together by pyramidal elements. For the past thirty years researchers have sought high-order finite elements for pyramids, with only partial ...
  • Polynomial approximation of functions (part 6) A pattern emerges!
  • Tangent Plane Approximations Tangent Plane Approximations. In this video, I give the formula and use it to find a tangent plane approximation. Both the tangent plane and the actual numerical estimate are shown. For more free math videos, visit
  • Taylor Series Approximation (Stock option example) The Taylor Series allows us to estimate the change in an asset (portfolio) value without conducting a full re-pricing. The example here is to estimate the change in value of a call option if the stock price and volatility are shocked.
  • Polynomial approximation of functions (part 4) Approximating cos x with a Maclaurin series.
  • Polynomial approximation of functions (part 2) Approximating a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series)
  • The Trapezoid Rule for Approximating Integrals The Trapezoid Rule for Approximating Integrals. In this video, I show the formula and give one simple example of using the Trapezoid Rule to approximate the value of a definite integral. For more free math videos, visit
  • Generalized Taylor Series Approximation Approximating a function around a non-zero x value
  • Implicit Differentiation and Linear Approximation | MIT 18.01SC Single Variable Calculus, Fall 2010 Implicit Differentiation and Linear Approximation Instructor: Joel Lewis View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu
  • Poisson Approximation to the Binomial Distribution (Example) In this tutorial, I run through an example comparing the actual value to the approximated value and compare the two methods of working. To see this and other tutorials in this series in a larger clearer view goto ExamSolutions at
  • Poisson approximation to the Binomial Distribution : ExamSolutions In this tutorial, I show you the conditions for which a Poisson Distribution can be used as an approximation to the Binomial distribution by comparing probability graphs of the distributions . To see this and other tutorials in this series goto ExamSolutions at
  • Polynomial approximation of functions (part 7) The most amazing conclusion in mathematics!
  • Lecture - 10 Born - Oppenheimer Approximation Lecture series on Engineering Chemistry I by Prof.K.MangalaSunder. Department of Chemistry, IIT Madras For more details on NPTEL visit nptel.iitm.ac.in
  • Lec 9 | MIT 18.01 Single Variable Calculus, Fall 2007 Lecture 09: Linear and quadratic approximations View the complete course at: ocw.mit.edu *Note: Lecture 8 is Exam 1, so no video was recorded. License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu
  • GDC 2011 - Approximating Translucency for a Fast, Cheap and Convincing Subsurface Scattering Look A technique for approximating translucency and subsurface scattering in real-time, featured in the Frostbite 2 engine (DICE, Battlefield 3). A very fast approximation of light transport in translucent homogenous media. Colin Barre-Brisebois (EA) Marc Bouchard (EA) Presented at GDC 2011. Also described in GPU Pro 2: Barre-Brisebois, Colin and Bouchard, Marc. "Real-Time Approximation of Light Transport in Translucent Homogenous Media", GPU Pro 2, Wolfgang Engel, Ed., Charles River Media.
  • Bode Plot Approximations.mp4
  • Calculus 3.05d - Linear Approximation Using a tangent line and a linear approximation to find an approximate value of a function.
  • Lecture - 33 Approximation Algorithms Lecture Series on Design & ***ysis of Algorithms by Prof.Sunder Vishwanathan, Prof.Abhiram Ranade, Department of Computer Science Engineering, IIT Bombay. For more details on NPTEL visit nptel.iitm.ac.in
  • Lecture - 32 Approximation Algorithms Lecture Series on Design & ***ysis of Algorithms by Prof.Sunder Vishwanathan, Prof.Abhiram Ranade, Department of Computer Science Engineering, IIT Bombay. For more details on NPTEL visit nptel.iitm.ac.in
  • Using Differentials Using Differentials to approximate the value (18)^(1/4). In this video, I show the basic idea of differentials and show how they can be used to approximate values. For more free math videos, visit
  • 10. Reality and the Orbital Approximation Freshman Organic Chemistry (CHEM 125) In discussions of the Schrödinger equation thus far, the systems described were either one-dimensional or involved a single electron. After discussing how increased nuclear charge affects the energies of one-electron atoms and then discussing hybridization, this lecture finally addresses the simple fact that multi-electron systems cannot be properly described in terms of one-electron orbitals. Complete course materials are available at the Open Yale Courses website: open.yale.edu This course was recorded in Fall 2008.
  • Linear Algebra: Least Squares Approximation The least squares approximation for otherwise unsolvable equations
  • AVIANCA Fokker 50 Approximation and landing to Manizales Complete approximation and landing to Manizales SKMZ La Nubia Airport, flight AV9930 from Bogota; aboard Fokker 50 HK-4467.
  • Finding a Linear Approximation (Linearization, Tangent Line Approx), Another Ex 2 Finding a Linear Approximation (Linearization, Tangent Line Approx), Another Ex 2. Just another example of finding a linear approximation for a function at a particular point.
  • 4.2b Area Approximation Methods - Calculus Check out all my Calculus Videos and Notes at:
  • Approximating Area Using Rectangles Free Math Help at Brightstorm! How to approximate the area under a curve using rectangles.
  • Metaphor and Approximation This is a follow up on metaphor and it explores the role of approximation, which is itself a word derived metaphorically from Latin, meaning to come near. Please see the link: www.***.com
  • Yarg, mateys, celebrate Pi Approximation Day with piZone! That's right, the date today is 7 or 22/7 which = 3.14! Our pi-loving friends from are back today and want to promote, inform and entertain you with pi. Looking for pi t-shirts? . Want to play interactive games with pi? . Learn how to remember the first 10 digits of pi? . Facebook:
  • Polynomial approximations of functions (part 5) MacLaurin representation of sin x
  • BLOSSOMS - The Art of Approximation in Science and Engineering: How to Whip Out Answers Quickly Visit the MIT BLOSSOMS website at blossoms.mit.edu Video Summary: The purpose of this learning video is to show students how to think more freely about math and science problems. The lesson presents some concepts in ways that students might not have seen in school. In particular, scientific calculations can be tedious and long. Many textbooks and teachers emphasize getting exactly the right answer. But sometimes getting an approximate answer in a much shorter period of time is well worth the time saved. This video explores techniques for making quick, back-of-the-envelope approximations that are not only surprisingly accurate, but are also illuminating for building intuition in understanding science. This video touches upon 10th-grade level Algebra I and first-year high school physics, but the concepts covered (velocity, distance, mass, etc) are basic enough that science-oriented younger students would understand. One class period is needed to complete the lesson and required materials include a blackboard and chalk. If desired, teachers may bring in pendula of various lengths, weights to hang, and a stopwatch to measure period. Examples of in- class exercises for between the video segments include: asking students to estimate 29 x 31 without a calculator or paper and pencil; and asking students how close they can get to a black hole without getting sucked in. See the original video and more on MIT TechTV - techtv.mit.edu
  • QM5.5: Tunneling - The WKB approximation method The Potential Barrier, case: E ≤ V₀ - Tunneling To conclude our study of tunneling, we glimpse at an approximation method we can use to calculate the probability of a particle tunneling through a potential we might encounter in the real world - where potentials are not simple square barriers. For an in-depth study, check out
  • Left-hand Right-hand Approximation This is a video instructing students how to approximate area under a curve using right hand and left hand approximations.
  • Quadratic Approximation | MIT 18.01SC Single Variable Calculus, Fall 2010 Quadratic Approximation Instructor: Joel Lewis View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu
  • Linear Approximation/Netwon's Method | MIT Highlights of Calculus Linear Approximation/Netwon's Method Instructor: Gilbert Strang ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu
  • Calculus 3.05c - Linear Approximation Using a tangent line and a linear approximation to find an approximate value of a function at a given point.
  • Quadratic Approximation of a Product | MIT 18.01SC Single Variable Calculus, Fall 2010 Quadratic Approximation of a Product Instructor: Christine Breiner View the complete course: ocw.mit.edu License: Creative Commons BY-NC-SA More information at ocw.mit.edu More courses at ocw.mit.edu