Interactive Mathematics by Kunio Mitsuma, Ph.D.

KU Interactive Mathematics

Course Info

Office Hours

Exams

LiveMath Notebook

Master Index

Categories

Topics

Graphing Templates	2-D Graph (one function)	2-D Graphs (two functions)	2-D Graph ( x = f (y) )
	3-D Vectors (three vectors)	3-D Surface (general template)
	3-D Surface (one function)	3-D Surface (horizontal slice)	3-D Surface (vertical slice)	3-D Surface (6-sided slice)
Algebra	Linear Equations	Quadratic Equations (1)	Quadratic Equations (2)	Factorizations
	Distance Formula	Equation of a Line (1)	Equation of a Line (2)	Perpendicular Lines
	Linear Functions	Quadratic Functions	Rational Functions	Vertical Asymptotes
	Shifts Reflection Sharpness	Higher-Degree Polynomials	Intermediate Value Theorem
	Absolute-Value Functions	Square-Root Functions	Exponential Functions (1)	Exponential Functions (2)
Trigonometry	Definitions (animated)	Graph of sine (animated)
Trigonometry	Inverse Sine	Inverse Cosine	Inverse Tangent
Finite Math	Break-Even Analysis	Market Equilibrium
	System of Linear Eqs (unique solution)	System of Linear Eqs (no solution)	System of Linear Eqs (infinitely many)
	Matrix Addition	Matrix Multiplication
2-D Calculus	Limit Computation	Limit of a Rational Function	Squeeze Theorem
	Limits & Oscillations (x goes to zero)	Limits & Oscillations (x goes to infinity)
	Derivatives (Local Linearity)	Linear Approximation	Derivative Computation in CAS
	Graph of a Polynomial Function	Graph of a Rational Function
	Oblique Asymptotes	Oblique Asymptotes (2)	Vertical Tangent Line	Vertical Tangent Line (2)
	Antiderivatives	Indefinite Integrals	Fundamental Theorem of Calculus	Change of Variables
	Area of a Region (1)	Area of a Region (2)	Area of a Region (3)
	Circular Cone	Circular Cone (animated)	Parabolic Cone	Cubic Cone
	Football (Prolate Spheroid)	Hyperbolic Cosine cosh	Hyperbolic Sine sinh
3-D Calculus	Vectors (Parallelepiped)	Line of Intersection (two planes)	3-D Lines	Spherical Coordinates
	Horse Saddle	Monkey Saddle	Elliptic Helix (animated)	Circular Helix & Tangent Line
	Traces	Contour Maps
	3-D Limits	Partial Derivatives	Directional Derivatives	Gradients
	Tangent Planes	Normal Lines	Lagrange Multipliers (1 constraint)	Lagrange Multipliers (2 constraints)
Troubleshoot	Please go to this page.

The above is a list of interactive mathematics files that are viewable in any browser on any computer.
The list is continually expanding.

In your own browser, you can change values of variables in expressions and see changes take place in graphs and others in real time. Hold down a mouse on a graph and move it. The graph will move in 2D and rotate in 3D! Use the tools on the right of a graph to zoom into any part of the graph.

You will like it—this is a really neat stuff! Do not worry about messing things up. You can always revert to the original state of a Notebook by reloading the page in your browser. So, go ahead and experiment as much as you want.

When you click on a topic in the above list, your browser will ask that a plug-in, called LiveMath Plug-In, be downloaded if it is not already installed on your computer. Choose a plug-in for your OS and browser, fill in a Download Form, and begin the download. The plug-ins support many browsers on Mac OS & Windows OS.

When the download is complete, I recommend that you quit and relaunch your browser. Then, the browser should show a LiveMath Notebook for the selected topic. If you see many garbled characters in the Notebook, try opening the same Notebook in a different browser.

The Notebooks listed on this page were created in LiveMath Maker (computer algebra system). Active links are in blue.

FPDC Grant (2006–07)