Numerical Methods for the STEM Undergraduate
The WordPress.com stats helper monkeys prepared a 2014 annual report for this blog.
Here’s an excerpt:
The Louvre Museum has 8.5 million visitors per year. This blog was viewed about 100,000 times in 2014. If it were an exhibit at the Louvre Museum, it would take about 4 days for that many people to see it.
Here is an example of using Gaussian quadrature rule through two approaches:
EITHER
by applying it on the original integrand by updating the argument of the integrand
OR
by applying it to the equivalent integrand because of the need to change the limits of integration to: -1 to 1.
http://nm.MathForCollege.com/blog/3pointquadruleexample.pdf
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The open course ware for “Introduction to Matrix Algebra” has been released. The topics include
For more details go to http://tap.usf.edu/stories/open-courseware-released-for-introduction-to-matrix-algebra/
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In the previous blog posts, we answered
Here we answer the last question.
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When solving a fixed-constant linear ordinary differential equation where the characteristic equation has repeated roots, why do we get the next independent solution in the form of x^n*e^(m*x)? Show this through an example.
See this pdf file for the answer.
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In the previous blog posts, we answered
Here we answer the next question.
Future post will answer this last question
Question 5 of 5: What is the proof that the absolute relative true error in representing a number on a machine is always less than the machine epsilon?
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In the previous blog posts, we answered
Here we answer the next question.
Future posts will answer these questions
Question 4 of 5: What is the significance of machine epsilon for a student in an introductory course in numerical methods?
Question 5 of 5: What is the proof that the absolute relative true error in representing a number on a machine is always less than the machine epsilon?
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In the previous blog post, we answered
Here we answer the next question.
Future posts will answer these questions
Question 3 of 5: How is machine epsilon related to the number of bits used to represent a floating point number?
Question 4 of 5: What is the significance of machine epsilon for a student in an introductory course in numerical methods?
Question 5 of 5: What is the proof that the absolute relative true error in representing a number on a machine is always less than the machine epsilon?
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Future posts will answer these questions
Question 2 of 5: How do I find the machine epsilon using a MATLAB code?
Question 3 of 5: How is machine epsilon related to the number of bits used to represent a floating-point number?
Question 4 of 5: What is the significance of machine epsilon for a student in an introductory course in numerical methods?
Question 5 of 5: What is the proof that the absolute relative true error in representing a number on a machine is always less than the machine epsilon?
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We have started a Facebook page for numerical methods. I welcome you to join the group and spread the word about it. Ask a question and stay updated with new resources.
https://www.facebook.com/numericalmethods
The Facebook page would be a place to keep the social media conversation going on – the one that has been going on via YouTube comments, twitter and this blog.
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