Calculus

Here is an awesome opportunity for anyone to view some of the best made Mathematics instructional material ever made!!! Ladies and Gentlemen, I give you former M.I.T. / Bunker Hill professor, Herbert Gross!!!

OpenFiction [Blog]

In what has to be my runaway new favorite on the site, we’ve just released Calculus Revisited, a series of videos by MIT professor Herb Gross. Now you can learn calculus old school—literally!

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Pt. 6(a) Vectors: Vector Applications

Here I solve a Resultant Vector problem where there are 2 forces acting on an object. This is part 1 of a 2 part lecture on popular uses for vectors in problem solving and to show how to calculate the combined force exerted on an object under ideal conditions.

Pt. 5 Vectors: Unit vectors, Standard Vectors, and Linear Combinations

Here we will explore the concept of a Unit vector and some related thoughts. We will go deeper into what a vector is made of and practice an example of both creating a Unit vector and also a linear combination of i and j. As always, enjoy and feel free to give some feedback!

Pt. 2 How to plot a Vector, Find Magnitude, and Direction Angle

Hello,

Here we will continue deeper into Vectors and actually plot one and discuss the formulas needed reveal the length (magnitude) and Theta (direction angle). I will solve a question by providing a 2d Vector from the given plots and also using the new found Vector to discover it’s length and angle.  It is a very straight forward lecture in this series but none the less important before moving on. If there are any questions please feel free to contact me.

Pt. 1 Vectors and Their Basic Properties

Hello all,

In this “continuous-form” lecture I will be discussing Vectors and their associated operations. At first we will explore what a vector is and what components are necessary to actual make it a vector. We will cover scalars, Magnitude, Direction Angle, and learn some useful formulas for manipulating vectors to achieve a goal. As I have written, this will be a continuous form lecture in that it will consist of numerous chronological parts. I am trying this approach for a few reasons but mainly because it can keep these Livescribe files short enough to easily view and it will serve to “compartmental-ize” the data so that any un-clear areas or topics can be easily found/viewed without much trouble. as always I hope you enjoy this lecture and invite you to feel free with any questions or comments you may have.

Differential Equations tutorial: Separation of Variables Technique

Below is my inaugural attempt at pencasting using my livescribe smart pen. I have recently finished the aforementioned mathematics course in which I have used this pen for all lecture notes from the class. The pen is simply amazing as a tool to maintain both the lecture and written notes in sync with each other (which can be very helpful in academic or business settings).  I hope those who are in need of this lecture find it useful if not fully enlightening,  and for those who are interested in a review about the pen, I may prepare a review of my experience with it soon.

Sadly I recently found out that WordPress will not support pencast files (not cool) so please forgive the added inconvenience of having to click a link.