Mathematical Examples

Applying mathematics to real-world problems requires programs that implement mathematical functions. In many cases, the programs also employ functions that consume and produce functions. Mathematics is therefore a great starting point for practicing programming with functions and, more generally, for creating abstract functions.

The first subsection covers sequences and series, a key element of mathematics. The second section discusses integration, which relies heavily on series. Finally, the third section introduces function differentiation.

• Sequences and Series
• Arithmetic Sequences and Series
• Geometric Sequences and Series
• The Area Under a Function
• The Slope of a Function