This is more for overview of my own than for teaching or exercise.
Overview of the math's areas
 Arithmetic · 'elementary mathematics' and similar concepts
 Set theory, Category theory
 Geometry and its relatives · Topology
 Elementary algebra  Linear algebra  Abstract algebra
 Calculus and analysis
 Logic
 Semisorted
 : Information theory · Number theory · Decision theory, game theory · Recreational mathematics · Dynamical systems · Unsorted or hard to sort
Math on data:
 some introduction · areas of statistics
 types of data · on random variables, distributions
 Virtues and shortcomings of...
 on sampling · probability
 glossary · references, unsorted
 Footnotes on various analyses
 Other data analysis, data summarization, learning
 Data modeling, restructuring, and massaging
 Statistical modeling · Classification, clustering, decisions, and fuzzy coding ·
 dimensionality reduction ·
 Optimization theory, control theory · State observers, state estimation
 Connectionism, neural nets · Evolutionary computing
 Formal grammars  regular expressions, CFGs, formal language
 Signal analysis, modeling, processing
 Image processing notes

Arithmetic
Arithmetic at the least is taught for daytoday use, and refers to the application of basic operations on numbers.