This 7-minute video lesson gives a glimpse of the mystery of the Universe as we approximate e^x with an infinite series. [Calculus playlist: Lesson 95 of 156]
This 12-minute video lesson looks at the rationale for Euler's Formula and Euler's Identity. [Calculus playlist: Lesson 89 of 156]
This 7-minute video lessonn looks at approximating a function around a non-zero x value [Calculus playlist: Lesson 91 of 156]
This 10-minute video lesson shows how to use a polynomial to approximate a function at f(0). [Calculus playlist: Lesson 93 of 156]
This 10-minute video lesson looks at how to approximate a function with a polynomial by making the derivatives equal at f(0) (Maclauren Series). [Calculus playlist: Lesson 94 of 156]
This 10-minute video lesson show how to approximate cos x with a Maclaurin series. [Calculus playlist: Lesson 96 of 156]
In this 10-minute video lesson (part 6 of the Polynomial approximation of functions series) a pattern emerges! [Calculus playlist: Lesson 98 of 156]
This 9-minute video lesson looks at the MacLaurin representation of sin x. [Calculus playlist: Lesson 97 of 156]
This 18-minute video lesson shows how to Approximate a function with a Taylor Polynomial. [Calculus playlist: Lesson 100 of 156]
This 6-minute video lesson looks at the Taylor Series at 0 (Maclaurin) for e to the x. [Calculus playlist: Lesson 88 of 156]
This 7-minute video lecture looks at using the Wolfram Alpha to approximate sin(x). [Calculus playlist: Lesson 90 of 156]
This 7-minute video lesson looks at visualizing the Taylor Series for e^x. [Calculus playlist: Lesson 92 of 156]
Differential calculus in one and several dimensions. Java applets and spreadsheet assignments. Vector algebra in 3D, vector- valued functions, gradient, divergence and curl, Taylor series, numerical methods and applications. Given in the first half of the first term. However, those wishing credit for 18.013A only, must attend the entire semester. Prerequisites: a year of high school calculus or the equivalent, with a score of 4 or 5 on the AB, or the AB portion of the BC, Calculus test, or an equivalent score on a standard international exam, or a passing grade on the first half of the 18.01 Advanced Standing exam.
This 6-minute video lesson looks at approximating f(x)=cos x using a Maclauren Series (special case of a Taylor series at x=0). [Calculus playlist: Lesson 86 of 156]
This book covers the following topics: Sequences, limits, and difference equations; functions and their properties; best affine approximations; integration; polynomial approximations and Taylor series; transcendental functions; the complex plane; differential equations.
This course provides a thorough introduction to the principles and methods of physics for students who have good preparation in physics and mathematics. Emphasis is placed on problem solving and quantitative reasoning. This course covers Newtonian mechanics, special relativity, gravitation, thermodynamics, and waves.
In this module, we discuss the ideas behind distortion.
Highlights of Calculus is a series of short videos that introduces the basics of calculus—how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject. The videos were created by renowned mathematics professor Gilbert Strang who has taught at MIT since 1962.
The video series reviews the key topics and ideas of calculus with applications to real-life situations and problems
and then fully covers the concept of Derivatives.
This 13-minute video looks at approximating a function at 0 using a polynomial. [Calculus playlist: Lesson 85 of 156]
In trying to model distortion, a few noise problems and seemingly failed method arise.
