Introduction to basic algebraic operations and concepts, as well as the structure and use of algebra.

Detailed introduction of functions, graphs, limits, continuity, and derivatives, and the relationship between derivatives and graphs.

Examination of the language and practice of set theory, and the theory and practice of mathematical proof, with the purpose of guiding you from “doing mathematics” at an elementary (i.e. problem-solving) level to “doing mathematics” at an advanced level.

Examination of the properties behind the basic concepts of probability and statistics, designed to teach you ways to investigate the relationships between various characteristics of data.

In this course, you will cover some of the most basic math applications, like decimals, percents, and even fractions. You will not only learn the theory behind these topics, but also how to apply these concepts to your life. You will learn some basic mathematical properties, such as the reflexive property, associative property, and others. The best part is that you most likely already know them, even if you did not know the proper mathematical names.

This course discusses how to use algebra for a variety of everyday tasks, such as calculate change without specifying how much money is to be spent on a purchase, analyzing relationships by graphing, and describing real-world situations in business, accounting, and science.

In this course, you will study the relationships between lines and angles. You will learn to calculate how much space an object covers, determine how much space is inside of a three-dimensional object, and other relationships between shapes, objects, and the mathematics that govern them.