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...
Other
Metal: Differentiation [Pdf]
The resource is a lesson guide that teaches how differentiation applies in mathematical economics. Topics include differentiation, elasticity applications, and optimization applications. PowerPoint slides are included on how to deliver...
American Association of Physics Teachers
Com Padre Digital Library: Open Source Physics: Scalar Field Gradient Model
Students investigate scalar and vector fields though a downloadable java simulation. The simulation explores the gradient of a scalar field using a numerical approximation to the partial derivatives.
University of California
University of California: Maximum/minimum Problems
The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative.
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....
Khan Academy
Khan Academy: Worked Example Motion Problems With Definite Integrals
Remember, anti derivative of acceleration with respect to time is velocity and anti derivative of velocity with respect to time is distance where acceleration, velocity, distance are all functions of t, the time. This concept is very...
Other
Matheno: How to Solve Optimization Problems in Calculus
Need to solve Optimization problems in Calculus? This blog illustrates the steps needed to solve them routinely for yourself.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Maxima and Minima
Students learn about applications of derivatives. Topics include maxima and minima. The tutorial explores the calculus concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.
Department of Defense
Do Dea: Optimization Examples
Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.
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.
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,...
Sophia Learning
Sophia: English to Metric Conversion: Lesson 4
This lesson shows how to convert between English to metric units for different derived units. It is 4 of 4 in the series titled "English to Metric Conversion."
Lawrence Hall of Science
The Math Page: Skill in Algebra: Word Problems Equations With Fractions
Here is a site that clearly and thoroughly shows how to solve word problems in which the derived equation has fractions involved. There are example problems solved, problems for the student to attempt, and answers to the student...
Oswego City School District
Regents Exam Prep Center: Area of a Triangle and Parallelogram Using Trig
How can trigonometry be used to find the area of a triangle or parallelogram? Does the triangle need to be a right triangle, and how accurate can the results possibly be? The answers to these questions are found here along with several...
Paul Dawkins
Paul's Online Notes: Calculus Cheat Sheet [Pdf]
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
Texas Instruments
Texas Instruments: Boxing It Up
In this activity, students will experiment with creating a box from a standard size piece of paper. They will then use the concept of related rates on the graphing calculator to find the maximum volume of a box made from the piece of paper.
Texas Instruments
Texas Instruments: Quartic Inflection
This activity introduces students to an interesting property of fourth degree polynomials and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon specific results.
Texas Instruments
Texas Instruments: Differential Equations
In this activity, students analyze first order, second order, and autonomous systems of two first order differential equations.
Texas Instruments
Texas Instruments: Cubic, Zeros and Tangents
In this Computer Algebra System (CAS) activity, students use CAS to prove a theorem regarding cubic functions, their zeros [roots], and tangents to the curves.
Texas Instruments
Texas Instruments: Using Traffic Data to Reinforce Inflection Points in Calculus
Real data from the morning rush on the Chicago expressways is the basis for a piece-wise regression. The students' success depends on their understanding of inflection points. Students need to use the Select command to split the data...
Texas Instruments
Texas Instruments: Calculus and the Ti 89
The graphing calculator's symbolic capacities make it ideal for teachers and students of calculus. Here are some examples of how teachers and students can use the calculator to better understand calculus.
Texas Instruments
Texas Instruments: Absolute Extrema
This activity involves finding the absolute extrema on a closed interval of a function.
Texas Instruments
Texas Instruments: Higher Order Differential Equations
In this activity, students use the calculator to graph the solution to a second-order and third-order differential equations. They convert higher order differential equations by substitution to a system of first order differential...
Texas Instruments
Texas Instruments: Logistic Growth, Differential Equations, Slope Fields
In this Computer Algebra System (CAS) activity, students investigate differential equations analytically, graphically and numerically and see relationships between the three approaches.