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Wikimedia
Wikipedia: Differential Equation
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.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Applications of Maximum and Minimum Values
Here is a site that clearly and thoroughly explains how to solve applied max/min problems using the first derivative. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
Lawrence Hall of Science
The Math Page: An Approach to Calculus: The Chain Rule
Here is a site that clearly and thoroughly explains the chain rule for derivatives of composite functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Completing the Square
Here is a site that clearly and thoroughly explains how to solve quadratic equations by completing the square. The quadratic formula is derived using this method on this page. Point this site out to students who have been absent or who...
Wolfram Research
Wolfram Math World: Quadratic Equation
This MathWorld site shows how to derive the quadratic formula.
Towson University
Towson University: Ideal and Real Gas Laws
The ideal gas law is stated and explained at this site from the Towson University. It is then used to derive the other gas laws (Charles, Boyle's, Gay-Lussac's, Avogadro's, combined, etc.). Other gas law relationships are discussed....
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Instantaneous Velocity and Related Rates
Here is a site that clearly and thoroughly explains instantaneous velocity and how to solve related rates problems by using implicit differentiation. There are example problems solved, problems for the student to attempt, and answers to...
CK-12 Foundation
Ck 12: Algebra: Quadratic Formula
[Free Registration/Login may be required to access all resource tools.] This lesson covers deriving the quadratic formula and using it to solve any quadratic equation.
Texas Instruments
Texas Instruments: Hot Coffee
This activity is an application of differential equations and slope fields. Students first go through the traditional paper and pencil method of solving a differential equation. (Continued. See "before the activity.")
Math Medics
S.o.s. Math: Quadratic Equations Quadratic Formula
Here you can find a general overview of the quadratic formula, complete with a full breakdown of how to come up with the quadratic formula with a quadratic equation, as well as am example of using the quadratic formula to solve a...
Other
American Mathematical Society: Bin Packing
Bin packing is a very appealing mathematical model. This article discusses several bin packing problems and the various methods for solving them.
Cuemath
Cuemath: Integral
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
Texas Instruments
Texas Instruments: Differential Calculus
In this activity, students learn to solve problems dealing with limits, derivatives, and optimization. They use various features of the TI-86 to study some important ideas covered in a differential calculus course.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Problemas De Optimizacion
In Spanish. Apply your Calculus knowledge using interactive activities to solve optimization problems.
Purple Math
Purplemath: Quadratic Word Problems: Projectile Motion
Launching a rocket up into the air, throwing a textbook down off a rooftop, or tossing a baseball out to someone in center field are all examples of projectile motion and quadratic word problems. Situations like these are explored here,...
Interactive Mathematics
Interactive Mathematics: Differentiation
Explore the world of Calculus through differentiation. Focusing on areas such as limits, tangents to curves, and derivatives, this site shows you how to solve problems based on the discoveries of Sir Isaac Newton and Gottfried Leibniz....
Help Algebra
Help algebra.com: Quadratic Formula
This presentation of the quadratic equation includes a discussion on the discriminant and a derivation of the quadratic formula.
Interactive Mathematics
Interactive Mathematics: Graphical Solution of Non Linear Systems
Using the graphing method, several systems of nonlinear equations are solved. Follow each example step by step to see how solutions are derived.
Other
Analytic Methods for Exact/linear Differential Equations
Shows how to solve both exact and linear differential equations.
Shodor Education Foundation
Shodor: Gas Laws
An excellent site for understanding and applying the ideal gas law. The combined and other variations of the ideal gas law are derived. There are sample application problems with an abbreviated method of solving the problems.
Science Education Resource Center at Carleton College
Serc: Phylogenetics Problems
A lesson plan where students solve problems by using cladistics to determine phylogenies. Problems require that students determine which characteristics are ancestral or derived by looking at both dinosaurs' remains and primate skulls....
TeachEngineering
Teach Engineering: Putting It All Together: Peripheral Vision
In this culminating activity of the unit, students bring together everything they've learned in order to write the code to solve the Grand Challenge. The code solution takes two images captured by robots and combines them to create an...
Paul Dawkins
Paul's Online Notes: Algebra: Quadratic Equations Part Ii
Detailed math tutorial features notes and examples that illustrate how to solve quadratic equations using complete the square then use that to derive the quadratic formula.
CK-12 Foundation
Ck 12: Total Internal Reflection
[Free Registration/Login may be required to access all resource tools.] Students learn about total internal reflection. More specifically, they will learn what the critical angle is, how it is derived and how to solve for it in real life...