Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...

Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.

In an electrolytic cell, electrical energy is converted into chemical energy, the exact opposite of a battery! Lesson 15 in a series of 36 explores electrochemistry. Participants begin by reading and discussing oxidation/reduction...

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...

Substances with the same empirical and molecular formula must be differentiated by their structural formula. Part two in a series of 36 has pupils using chemical formulas to calculate how much of a compound is present in a given...

This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...

What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs. 

Help young mathematicians make cents out of the US currency system with this two-part math lesson. Children first learn the names and values for each type of coin, before learning to count and compare the values of coins using the...

Forgot how to multiply matrices? Well, this app can help. It is like a gigantic, well-organized reference card for all things math. Customize your personal reference material by adding your own notes and build up a personalized list of...

Not all chemical reactions happen at the same rate because some, like explosions, occur quickly and some, like rusting, occur over time. Here, learners explore chemical reactions and their rates in the 16th lesson of 36. Through readings...

Sixth in a series of 36, this lesson focuses on gases and their behavior in given situations. Learners review the states of matter and then focus on gases, specifically learning Boyle's, Charles's, Avogadro's Laws, Dalton's, and Graham's...

This lesson gives basic definitions, including differential equation and linear differential equation.

A thorough reference guide to differential equations. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.

An encyclopedia article on differential equations discusses ordinary differential equations, how differential equations are solved, and uses of differential equations. The site has many links to clarify topics.

This site provides information about first order separable differential equations. The site gives several general forms of differential equations and how to solve each type generally.

Defines differential equations and some of its properties including, linear, homogeneous and nonhomogeneous.

A brief definition of a differential equations. An example of one is given.

This math site defines a first order differential equation. Includes information on how to solve an equation of this form and also how to find the roots.

Explains what a first order differential equation is. An example is also given.

This site has a basic definition for what a separable differential equation is. An example problem is worked through.

This page from Mathworld.com gives a very brief statement of Alexis Claude Clairaut's Difference Equation, also called Clairaut's Differential Equation. (This equation is a special case of Lagrange's Equation.) Includes special links.

Elementary Solution Methods for First-Order ODEs: Contains a large amount of information regarding first order differential equations, including definitions, examples, and basic properties.

Defines and gives examples of a second order differential equation including linear second-order ordinary differential equations.

A complete reference guide to Euler's Method. It provides definitions, examples. and an interactive activity that enhances further explanation. Includes links to related topics.