MathTutorDVD.com has posted the latest lesson in
the differential equations section.
In this lesson, we apply the techniques and theory
of solving differential equations to the problems
involving mixtures. These problems will require us
to read the problem and use the information in the
problem statement to set up a differential equations
that we can then solve.
Lesson 9 – Applications of Differential Equations:
Mixture Problems
MathTutorDVD.com has posted two additional lessons in the
differential equations course that is currently in development.
Lesson 7 – Existence and Uniqueness Theorem
Lesson 8 – Graphing Solutions of ODEs
I will release Vol 1 of the Differential Equations tutor in about
a month that will be around 9 hours in duration and will
cover the solution techniques and applications of first
order differential equations. Vol 2 will cover second order
and higher differential equations and applications!
MathTutorDVD.com has posted a partial list of
schools, libraries, and universities that use our
school DVD series in the classroom. A wide
range of institutions use the DVD series from
well known universities such as MIT, to smaller
public school systems around the country.
These are the very same DVDs available at
MathTutorDVD.com and are being used by
thousands of students around the world!
MathTutorDVD.com – We’ve just released a new tool on the
website that allows you to interactively view the
vector components of a vector.
Decomposing a vector is an extremely important topic for
all math students to master, and is used in all higher classes
such as Trig, Calculus, Physics, and all levels of Engineering.
Understanding this topic is easiest when we discuss motion
of an object in the presence of gravity. If we throw a ball at
an angle to the ground we discover that the motion is a
curved arc. This motion is fairly complicated but it can be
simplified a great deal by performing vector decomposition
to break the vector up in to “x”and “y” components.
When we do this, we can calculate the motion along the
vertical direction (y-direction) and separately along the
horizontal direction (x-direction).
We can then calculate the motion in these directions
separately which is much easier than trying to use
Newton’s laws to calculate the motion in both directions
at the same time.