# Mathematical Programming

## Chapters

Often, we come across functions that we do not know how to evaluate without having qualitative knowledge of the input value. For example, $\sin(x)$, $\max(x, y)$1 , and $|x|$.

For example, how do we compute $\min(x,y)$ without knowing beforehand what $x$ and $y$ are, using only a basic calculator2?

This question, along with many others, will be answered in this short course.

1. $\max$ stands for maximum. $\max(x,y)$ will always return the larger value out of $x$ and $y$. Similarly, $\min(x,y)$ (minimum) returns the smaller of $x$ and $y$.

2. For the purpose of this course, we will assume our calculator to have the following capabilities:

• Addition, Subtraction, Multiplication, and Division
• Exponentiation
• including square roots
• Floor and Ceiling

These basic capabiities will enable us to construct other, more complex capabilities.

# Courses

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