Curated OER
The Number System
Review complex numbers, real numbers, irrational and rational numbers, integers, and whole numbers with math students. Use this guide as a reference sheet or handout.
Lawrence Hall of Science
The Math Page: Topics in Precalculus
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
Windstream
Ojk's Precalculus Study Page: Sum and Difference Formulas for Tangent
This tutorial introduces the sum and differnce formulas for tangent, and gives several examples of problems to be solved as well as proving other identities. Assumes knowledge of the sum and difference formulas for sine and cosine.
Windstream
Ojk's Precalculus Study Page: Introduction: Average Rate of Change
A precalculus tutorial that explains the average rate of change with formulas and examples. Related links to other concepts.
Windstream
Ojk's Precalculus Study Page: Sum and Difference Formulas for Sine and Cosine
An introduction to trigonometric identities, beginning with the sum and difference formulas. Some of the formulas are proven, some are left to the reader. Includes several examples and pictures.
Windstream
Ojk's Precalculus Study Page: Parabolas
Good study tutorial about parabolas. There are examples of finding the equation of the parabola or the focal point and directrix that students can examine and attempt.
Windstream
Ojk's Precalculus Study Page: Measurement of Angles
An introduction to radian measurement, including converting between radians and degrees. Includes several examples and lots of pictures.
Windstream
Ojk's Precalculus Study Page: Reflections and Symmetry
An introduction to the various types of symmetries that can occur in the graphs of functions. Uses vertical, horizontal, and oblique reflections as a means of recognizing symmetries.
Windstream
Ojk's Precalculus Study Page: Solving Polynomial Equations
A comprehensive look at the three main ways to find the roots of a polynomial: factoring, formulas, and the rational root theorem.
Windstream
Ojk's Precalculus Study Page: Periodic Functions, Stretching and Translating
This online tutorial offers a comprehensive introduction to translating and stretching graphs, and what this implies about the function. Includes lots of pictures and examples.
Windstream
Ojk's Precalculus Study Page: Easier Trigonometric Equations
An introduction to solving trigonometric equations, including finding general and particular solutions. The connection between the tangent function and the slope of a line is also covered. Includes several examples and graphs.
Windstream
Ojk's Precalculus Study Page: More Difficult Trig Equations
An introduction to solving trigonometric equations by using the reciprocal, negative, Pythagorean, and cofunction identities. Includes several examples and exercises with solutions at the bottom of the page.
Windstream
Ojk's Precalculus Study Page: Geometric Representation of Complex Numbers
An introduction to viewing the complex plane in terms of polar coordinates. Assumes knowledge of the conversion formulas. Includes several examples and pictures.
Wolfram Research
Wolfram Math World: Infinite Series
The site contains information on infinite series. Includes formulas and links to related topics.
University of Georgia
University of Georgia: Mean Value Theorem
This site has a detailed explanation of the Mean Value Theorem.
Duke University
Duke University: Inverse Functions
This resource has links to topics explaining inverse functions. Includes the derivative of an inverse function.
University of California
Ucla Mathematics: Triple Integral
Detailed site explaining the triple integral from the UCLA Mathematics department. Includes equations and examples.
Math Words
Mathwords: Terms and Formulas From Algebra I to Calculus
Mathwords is "an interactive math dictionary with enough math words, math terms, math formulas, pictures, diagrams, tables, and examples to satisfy your inner math geek." Written by a teacher of high school and college students,...
University of Illinois
University of Illinois: The Area Under a Curve
This site explains how to find the area under of a curve.
University of Maryland
Evaluating Double Integrals
Comprehensive resource that explains the Double Integral.
Other
Math Pages: Mean Partial Sums of Non Convergent Series
This is a wordy and comprehensive site explaining the mean partial sums of non-convergent series.
Other
Jfm: The Definition of Riemann Definite Integral
This site introduces Riemann definite integral on the closed interval of real. If you are interested in exploring definite integrals, this site may interest you.
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