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Hofstra University
Hofstra University: Calculus Applied to the Real World
This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...
Mathematics Archives
Math Archives: Visual Calculus: Antiderivatives/average Value of a Function
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
Wolfram Research
Wolfram Science World: Cl Circuit
Shows how simple harmonic motion is used in a circuit comprised of an inductor and a capacitor. Includes detailed formula derivation utilizing calculus.
Interactive Mathematics
Interactive Mathematics: Even Crash Test Dummies Use Calculus
Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Applications of Maxima and Minima
Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...
Khan Academy
Khan Academy: Analyzing Problems Involving Rates of Change in Applied Contexts
Differential calculus is all about instantaneous rate of change. Let's see how this can be used to solve real-world word problems.
Khan Academy
Khan Academy: Analyzing Problems Involving Definite Integrals
The interpretation of definite integrals as accumulation of quantities can be used to solve various real-world word problems.
Duke University
Duke University: Web Feats Ii: Free Donuts
This is an excellent interactive site which walks the student through the process of finding the maximum volume for a box given the length and width of a piece of cardboard. The site poses numerous multiple choice questions for the...
Interactive Mathematics
Interactive Mathematics: Applications of Indefinite Integrals
Displacement, velocity, and acceleration are determined in real world problems using the indefintie integral. Several examples alllow you to see the process at work.
CK-12 Foundation
Ck 12: Analysis: Applications of Parabolas
[Free Registration/Login may be required to access all resource tools.] Exploring the similarity of parabolas and their use in real world applications
National Council of Teachers of Mathematics
The Math Forum: Unsure of Which Telephone Plan to Choose?
This online activity will help you use step functions as a means of determining the most appropriate calling package for your household.
Other
Labs and Projects: Applications of Exponential and Logarithmic Function
This site has several examples of exponential functions. There is also some background and theory information.
Interactive Mathematics
Interactive Mathematics: Differential Equations & Rc Circuits
Differential equations are applied in solving problems involving electricity and RC circuits. Several examples are provided to allow you to practice applying the concept.
Interactive Mathematics
Interactive Mathematics: Differential Equations & Rl Circuits
Use differential equations to solve problems dealing with series RL circuits. Examples help you practice the application.
Interactive Mathematics
Interactive Mathematics: Applications of Volumes by Integration
Two demonstrations of using integrals to find volume are presented. Detailed solutions are provided to help understand the process.
Texas Instruments
Texas Instruments: Air Resistance
Use the TI-89 to investigate the effect of air resistance on a free-falling object. Examples in the activity use calculator screenprints and keystroke instructions to demonstrate the use of the calculator to solve these problems....
Interactive Mathematics
Interactive Mathematics: Force Due to Liquid Pressure
Examples are provided to demonstrate how integrals are used to determine the amount of force liquid produces. The solutions are included, but hidden so students can work the problem independently.
ClassFlow
Class Flow: Fitting Models to Data
[Free Registration/Login Required] A basic premise of science is that much of the physical world can be described mathematically and many physical phenomena are predictable. This scientific outlook took place in Europe during the late...