Handout
Agnes Scott College

Agnes Scott College: Olga Alexandrovna Ladyzhenskaya

For Students 9th - 10th
Olga Alexandrovna Ladyzhenskaya (1922-2004) is profiled, who worked in linear, quasilinear, and nonlinear partial (and some ordinary) differential equations of elliptic, parabolic, and hyperbolic types, with some theoretical applications...
Activity
Texas Instruments

Texas Instruments: It's Outta Here!

For Teachers 9th - 10th
This activity uses the graphing calculator and the CBR(tm) to determine how far a baseball will travel and if it would be a homerun at a Major League baseball game. This activity uses differential equations to determine the distance...
Study Guide
Department of Defense

Do Dea: Resistance Proportional to Velocity

For Students 11th - 12th
Resistance to forward movement will be proportional to the velocity of the object. That relationship can be expressed by an equation that you can learn about on this page. Great review for the AP Calculus test!
Activity
Texas Instruments

Texas Instruments: Jet Plane

For Teachers 9th - 10th
This activity is an application of differentiation involving related rates. Students set up equations relating the variables and then differentiate them with respect to time to find the rate a distance is changing and an angle is changing.
Activity
Colorado State University

Csu: Heat Transfer Mechanisms

For Students 9th - 10th
An excellent page from the Colorado State University with a heavy mathematical emphasis. Each form of heat transfer--conduction, convection, and radiation--is defined, compared, and contrasted. Mathematical equations governing the rates...
Activity
Colorado State University

Colorado State University: Heat Transfer Mechanisms

For Students 9th - 10th
An excellent page from the Colorado State University with a heavy mathematical emphasis. Each form of heat transfer--conduction, convection, and radiation--is defined, compared and contrasted. Mathematical equations governing the rates...
Activity
Texas Instruments

Texas Instruments: Zeros of a Cubic

For Teachers 9th - 10th
This activity involves some of the prerequisites of calculus relating to functions and equations. It also contains an application of differentiation. (Continued. See "before the activity.")
Activity
Analyze Math

Analyze Math: Newton's Method to Find Zeros of a Function

For Students 9th - 10th
Students learn about Newton?s method. Newton?s method is an example of how differentiation is used to find zeros of functions and solve equations numerically. The tutorial consists of examples with detailed solutions.
Handout
Wolfram Research

Wolfram Math World: Calculus

For Students 9th - 10th Standards
This tutorial provides detailed overviews of the concepts and theorems associated with calculus. The number to the right of the topic indicates how many sites MathWorld has pertaining to the topic. "Funnel your way down the chain" to...
Website
Mathematics Archives

Math Archives: Calculus at the University of Tennessee Knoxville: 142 Table of Contents

For Students 9th - 10th
At this site the student can move to sites on various topics in calculus. The site then has a link to both a tutorial and example site
Website
Harvey Mudd College

Harvey Mudd College: Tutorials Hmc Calculus Tutorial

For Students 9th - 10th
This site has tutorials on pre calculus and calculus. The integration tutorial is under the name antiderivative
Handout
University of St. Andrews (UK)

University of St. Andrews: Leonhard Euler

For Students 9th - 10th
Lengthy biography of Euler that sets him in relationship with his contemporaries in mathematics and physics. Several quotes and pictures available, as well as links to relevant mathematical topics. A terrific site.
Activity
Wolfram Research

Wolfram Science World: Cl Circuit

For Students 9th - 10th
Shows how simple harmonic motion is used in a circuit comprised of an inductor and a capacitor. Includes detailed formula derivation utilizing calculus.
Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Introduction to Numerical Analysis for Engineering

For Teachers 9th - 10th
College-level electrical engineering course highlighting numerical analysis for engineers. This course introduces students to the formulation, methodology, and techniques for numerical solution of engineering problems. Course features...
Interactive
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Exponenciales Y Logaritmicas

For Students 9th - 10th Standards
In this activity you will learn how to differentiate and solve logarithmic equations and observe the relationship between logarithmic and exponential equations.
Handout
University of Michigan

University of Michigan: The Mathematics of Basic Pumping Well Hydraulics

For Students 9th - 10th
Discusses the mathematics involved in basic pumping well hydraulics. Includes a section dealing with the steady state solution.
Article
Agnes Scott College

Agnes Scott College: Sofia Kovalevskaya (1850 1891)

For Students 9th - 10th
This site provides a biography of the mathematician, writer, and advocate of women's rights, Sofia Kovalevskaya (1850-1891 CE).
Handout
University of St. Andrews (UK)

University of St. Andrews: Alexis Claude Clairaut

For Students 9th - 10th
Contains a lengthy and detailed biography of Alexis Claude Clairaut including information on his relationships to other mathematicians of his day.
Handout
University of St. Andrews (UK)

University of St. Andrews: Sofia Vasilyevna Kovalevskaya

For Students 9th - 10th
This site provides a detailed biography of the famous mathematician, Sofia Vasilyevna Kovalevskaya (Sonja Kovalevsky). Includes six pictures and details of Kovalevskaya's (1850-1891 CE) life and works.
Unit Plan
Khan Academy

Khan Academy: Combining Like Terms With Negative Coefficients

For Students 7th Standards
Practice combining like terms with negative coefficients.
Unknown Type
Khan Academy

Khan Academy: Combining Like Terms With Negative Coefficients & Distribution

For Students 7th - 8th Standards
Practice problems combining like terms with negative coefficients and distribution.
Unit Plan
Interactive Mathematics

Interactive Mathematics: Curvilinear Motion

For Students 9th - 10th
Using parametric equations, velocity and acceleration values are determined for objects in curvilinear motion.
Handout
Agnes Scott College

Agnes Scott College: Biographies of Women Mathematicians: Karen Uhlenbeck

For Students 9th - 10th
A brief paragraph highlights the accomplishments of this mathematician who made pioneering contributions to global analysis and gauge theory and the theory of partial differential equations.
Graphic
Wolfram Research

Wolfram Math World: Folium of Descartes

For Students 9th - 10th
This site gives the parametric, cartesian, and polar equations for this plane curve. Also given is the point of discontinuity, equation for the asymptote, and area under the curve.

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