Math 3003, Winter 2013
Topics: sets, functions
1
Applied Analysis - Sets and Functions
Revised: January 10, 2013
Sets and Functions
1.1
Basic notation for sets
Some good simple, open-source introducti
Systems of Linear Equations and Their Solutions
We have seen that all equations in the form Ax + By = C are straight lines when graphed. Two
such equations, such as those listed below, are called a sy
Systems of Nonlinear Equations and Their Solutions
A system of two nonlinear equations in two variables contains at least one equation that cannot
be expressed in the form Ax + By = C. Here are two ex
Math 3003, Winter 2013
Topics: sequences, limits and convergence
1
Applied Analysis - Sequences in R
Revised: January 10, 2013
Sequences of Real Numbers
1.1
The main denitions
Denition 1.1. A sequence
Math 3003, Winter 2013
Topics: Fourier Series
8
Applied Analysis - Inner Product Spaces
Revised: March 19, 2013
Convergence of Fourier Series
We have seen that the sequence, (Tn ), of of trigonometric
Math 3003, Winter 2013
Applied Analysis - The Real Numbers
Topics: real numbers, open and closed sets in R, real-valued functions Revised: January 10, 2013
1
Real numbers
1.1
Length and number
Perhaps
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