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The Environment
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A whirlwind tour of the Mathematica interface, built-in help, and
shortcuts.
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Arithmetic
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A very quick coverage of the overall layout of a Mathematica
notebook window, and the basics of doing arithmetic in Mathematica.
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Using Variables
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A brief overview of Mathematica's peculiarities in naming and assigning
values to its variables.
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Working with Lists
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A guide to forming and manipulating the list construct in Mathematica.
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Vectors & Matrices
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Naming, forming, formatting and manipulating vectors and matrices in
Mathematica.
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Algebraic Ops I
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Basic operations on polynomials and algebraic fractions. Partial fractions.
Immediate versus delayed assignment of values to variables. Substitution and
evaluation.
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Algebraic Ops II
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Defining equations in Mathematica. Solving equations exactly and
numerically. Dealing with systems of equations. Poorly conditioned equations.
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Functions |
The anatomy of function definitions. The importance of each of the definition's
parts. Functions of more than one variable.
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Calculus Ops I
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Taking limits. Total, implicit, and partial derivatives.
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Calculus Ops II
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Taking indefinite and definite integrals. Numerical integration. Generating
the Taylor series of a function, and manipulating infinite series.
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Graphics I
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Plotting functions in two dimensions using Mathematica. Controlling the
look of the final picture.
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Graphics II
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Plotting functions parametrically. Polar plots.
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Graphics III
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Plotting functions of two variables using contour, density, and three
dimensional plots.
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| Main Table of Contents for All ODE
Laboratories |
