Advanced Calculus and Analysis

Lecture notes from the University of Aberdeen for a first course in Analysis.
http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html

An Introduction to the Gauge Integral

Discusses the properties of an alternative integration theory, and its relationship with the Riemann and Lebesgue integrals.
http://www.math.vanderbilt.edu/~schectex/ccc/gauge/

Harmonic Analysis

Maintained by Terence Tao, UCLA. Lists events, personal pages, preprints, research groups, other links.
http://www.math.ucla.edu/~tao/harmonic/

Working Group on Generalized Convexity

An interdisciplinary group of scholars from operations research, economics, engineering, applied sciences, mathematics, statistics, among others, with an interest in generalizations of the classical concept of a convex function.
http://www.ec.unipi.it/~genconv/

Computability and Complexity in Analysis Network

CCA Net aims to provide a central location for collecting information useful to researchers working in the field.
http://www.informatik.fernuni-hagen.de/import/cca/

On the Atiyah-Singer Index Theorem

An overview of the Atiyah-Singer Index Theorem that places the result in historical and mathematical context.
http://www.abelprisen.no/nedlastning/2004/popular_english_2004.pdf

The Nrich Maths Project Cambridge: Fractional Calculus I

Using the gamma function, a definition of integration and differentiation performed a fractional number of times is presented.
http://www.nrich.maths.org/public/viewer.php?obj_id=1365&part=index&refpage=monthindex.php

Graphing Calculator and Numerical Methods Tool

Graphing calculator for functions of a single real variable. Find roots, intersections, maximums and minimums, approximate integrals. See the algorithms.
http://www.realtimetutor.com/CalcForm.aspx

First Degree Differential Equations Tool

Draw direction fields. Estimate solutions using Euler's and Runge-Kutter methods. See the algorithms.
http://www.realtimetutor.com/ODEForm.aspx

Systems of Differential Equations Tool

Draw direction fields for an autonomous system of two differential equations. Estimate solutions using Runge-Kutter methods. See the algorithms.
http://www.realtimetutor.com/ODESystemsForm.aspx