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Solving equations

Exact solutions:

Numerical solutions: (2 methods)

NSolve - Useful for mainly systems of polynomials; no initial guess required, finds multiple solutions (2 equivalent forms)

FindRoot - Useful for equations involving transcendental functions; must supply initial guess (uses Newton's method)

Transcendental - Notice the warnings

Graphs to examine solutions:

Symbolic solutions:

Evaluating expressions and functions

Evaluating expressions:

Evaluating functions

Calculus operations

Derivatives

Functions of a single variable:

Partial derivatives:

Implicit derivatives:

Differentials:

Integrals

Warning:  Use the tool palette to enter the integral signs (with the associated ⅆx).  Don't try to just type them in directly.

Indefinite integrals:

Definite integrals:

Improper integrals:

Multiple integrals:

Limits

Sums and series

Sums:

Taylor series:

Useful algebra and matrix commands

Partial fractions:

Vector operations:

Matrix operations:

Converted by Mathematica      September 13, 2000