Paul Dawkins
Paul's Online Notes: Calculus I: Area and Volume Formulas
The tutorial examines the area between two curves and the volume of a solid of revolution. The class notes are available in pdf format.
Math2
Math2.org: Integral Identities
A formal definition of integrals, followed by three examples of the Fundamental Theorem for Integrals of Derivatives.
Department of Defense
Do Dea: Fundamental Theorem of Calculus Part 1
Familiarize yourself with one of the most important theorems in all of calculus, the Fundamental Theorem of Calculus. Plenty of examples and explanations are provided. This is a great review for AP Calculus test!
Live Wire Media
Good Character: Trustworthiness
Material at this website is meant to accompany a video in the "In Search of Character" series. However, a self-evaluation quiz, definition of "Trust," discussion questions, writing assignments, and activity ideas can be used with...
ArtsNow
Arts Now Learning: Exercising Character: Trustworthiness [Pdf]
Help students understand the work ethic, and character trait of trustworthiness. Includes material for young students, lesson ideas for teachers of young children complete with hands-on exercises.
Texas Instruments
Texas Instruments: Sands of Time
In this activity, students can use a graphing calculator to find a regression equation and then interpolate the data from the equation using integration. They will explore the length of day during the winter and summer solstice at...
Texas Instruments
Texas Instruments: Solving Differential Equations Using Euler
This activity involves using the graphing calculator to find an approximate solution to a differential equation with Euler's Method, find the actual solution to the differential equation, and compare the two solutions.
Texas Instruments
Texas Instruments: Shortest Path
Students graph three functions on the same domain that go through the same three points. They then find the shortest of each of the paths through these points using the CAS of their TI-89 and calculus.
Wolfram Research
Wolfram Mathworld: Mean Value Theorem
This MathWorld site gives parameters for the Mean Value Theorem included in the definition; there is however no picture to illustrate this.
PC Technology Guide
Pc Tech Guide: Motherboard
Explore this site to gain a better understanding of motherboards. Detailed information about the evolution of motherboards, BIOS, form factors, CPU interfaces and more.
TeachEngineering
Teach Engineering: A Chance at Monte Carlo
At its core, the LEGO MINDSTORMS product provides a programmable microprocessor. Students use the EV3 processor to simulate an experiment involving thousands of uniformly random points placed within a unit square. Using the underlying...
TeachEngineering
Teach Engineering: Renewable Energy Living Lab
Students become familiar with the online Renewable Energy Living Lab interface and access its real-world solar energy data to evaluate the potential for solar generation in various U.S. locations. They become familiar with where the most...
TeachEngineering
Teach Engineering: Sounds Like Music
Music can loosely be defined as organized sound. The lesson objectives, understanding sound is a form of energy, understanding pitch, understanding sound traveling through a medium, and being able to separate music from sound, can...
Department of Defense
Do Dea: Ap Calculus
View xplanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
Other
Math Mistakes: Common Calculus Mistakes
Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...
Texas Instruments
Texas Instruments: Ti 89 Riemann Sum Activities for Calculus
In this Computer Algebra System (CAS) activity students use Riemann sums to estimate the distance traveled on a trip at various speeds. They utilize the concept of Riemann sums to calculate the area under a curve. Students find limits of...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Functions of Several Variables
The topic summary outlines functions of several variables. Some topics reviewed are partial derivatives, double integrals, real-valued function, and three-dimensional space. The resource consists of definitions, notes, and examples.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Series and Sequences
The resource examines sequences and infinite series. Topics investigated are power series, convergence, comparison test, integral test, ratio test, and Taylor series. Class notes, definitions, and examples with detailed solutions are...
TeachEngineering
Teach Engineering: Energy Detectives at Work
Students search for clues of energy around them. They use what they find to create their own definition of energy. They also relate their energy clues to the engineering products they encounter every day.
Scholastic
Scholastic Instructor: Origami Math
Have you ever tried origami? This Japanese form of paper folding is the basis of this math lesson plan. Students will have an opportunity to integrate their creative side with their math skills.
Math Open Reference
Math Open Reference: Separation of Variables
Learn about the separation of variables with this helpful reference tool. Provides a detailed definition, examples, and an interactive activity that enhance further explanation. Includes links to related topics.
TeachEngineering
Teach Engineering: Understanding Elements
This lesson plan examines the properties of elements and the periodic table. Students learn the basic definition of an element and the 18 elements that build most of the matter in the universe. The periodic table is described as one...
Math Open Reference
Math Open Reference: Fundamental Theorem of Calculus
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Math2
Math2.org: Series Expansions
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...