Tour of Mathematica

ME 443

Mathematica for Engineers

Numerical Calculations You can do arithmetic with Mathematica just as you

would on a calculator.

Unlike a calculator, however, Mathematica can give you

exact results.

You can use Mathematica function N to get approximate

numerical results.

You can find numerical results to any degree of

precision.

Mathematica can evaluate all standard mathematical

functions.

Here is a root of sin(2x) near x=2.

Graphics

Here is a three-dimensional surface plot of a function

of two variables.

This generates a three-dimensional parametric surface.

The x, y and z coordinates of points on the surface are

specified as a function of the parameters t and u. The

space in u Sin[t] denotes multiplication.

Here is a more complicated parametric surface.

Mathematica allows you to combine different pieces of graphics together. The % stands for the last result; %% for the result before that.

Mathematica serves as a graphics language in which

you can build up graphics from components.

On computer systems with sound output, this generates

an 8-second long sound with the specified amplitude as

a function of time.

Algebra

Calculus

Solving Equations

Lists

Vectors and Matrices

Transformation Rules and Definitions

Advanced Topic: Symbolic Computation