CAS

A computer algebra system is a programs able to manipulate symbolic mathematical expressions as well as numerical ones. Computer algebra systems are relatively easy to use and serve as powerful tools in a wide range of areas, from enhancing the teaching and learning experiences to providing a strong aide to research mathematics.

LiveMath

Maple

Mathematica

LiveMath

LiveMath is a computer algebra system which displays inputs an outputs in real mathematical notation. I addition, it has an interactive display that allows easy manipulation of equations and graphs. In particular this feature, make this software ideal for display "live" mathematics on the web.

Example 1: Linear Inequalities: Graphing Two Lines (LiveMath^R)
Example 2: Linear Inequalities: Graphing Three Lines (LiveMath^R)
Example 3: Graphs of Functions: Symmetries (LiveMath^R)
Example 4: 3D Graphs: Curves and Surfaces (LiveMath^R)

Bibliography

Tutorial

Plug-in

Web Resources

Maple

Maple is an essential tool for formulating, solving and exploring mathematical models. It also has an advanced worksheet-based graphical interface which is easily imported to other platforms. This can be used from high school student to researchers.

Example 5: Data Fitting (Maple)
Example 6: Taylor Polynomials (Maple)
Example 7:
Example 8:

Bibliography

Tutorial

Web Resources

Mathematica

It is a powerful computer algebra system similar to Maple in terms of its features, capabilities, and popularity. It does symbolic math, numerical math, graphing in 2 and 3 dimensions, and animations in 2 and 3 dimensions.

Example 9: Coding Theory: Encrypting Messages (Mathematica^R)
Example 10: Calculus: Numerical Integration (Mathematica^R)
Example 11:
Example 12:

Bibliography

Tutorial

Web Resources