Browsing the archives for the Mathematics tag

Differential Equations – Day 4

Agenda:

Homogeneous Equations
& Functions
Numerical Solutions
to
Review of material
in Chapter 1 & 2
Models as well

Homogeneous Functions
If f is a homogeneous function of degree Alpha.
When alpha goes to 0, e.g. M and N are homogeneous of the same degree, use the substitution .

becomes
Factor and and goes away. We can clean it up further by [...]

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Arithmetic v. Geometric Sequence

My tutorial group has come forward with the question…
How do we tell the difference between Arithmetic and Geometric sequences?

I am going to agree, for a moment, that these two things are similar, because at first glance we will find that this comes down to rate of change, which is also known as Slope. Lets [...]

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Evolution is not a theory.

Despite public opinion being what it is, Evolution is not a theory. Evolution is a process that is evidenced by the diversity of living forms, the diversity of the fossil record, the diversity of our cultures, religions and so forth. Evolution is, quite simply, a label we apply to the gradual change of something over [...]

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Solving Systems of Equations

This quarter I have stumbled into a rather interesting situation: I am tutoring a class that is learning exactly what my Linear Algebra class is going over. Specifically, this is biting me in the ass because of our focus on Solving Systems of Linear Equations. In order to help my tutorial groups, as well as [...]

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Linear Algebra – Lecture 1

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The Age of The Universe

The age of our universe is between 13 and 14 billion years old. We have many lines of evidence and reasoning that have brought us to this accepted understanding, one of which is our observational limits. Having the ability to point Hubble at any dark patch of sky and zoom in to most articulate point [...]

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