CK-12 Foundation
Ck 12: Analysis: Instantaneous Rates of Change
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between average rate of change and instantaneous rate of change. Students examine guided notes, review guided practice,...
Harvey Mudd College
Harvey Mudd College: Parametric Equations
Explanations and examples of parametric equations--in which a curve is traced out over time, sometimes doubling back on itself or crossing itself.
Analyze Math
Analyze Math: Linear Approximation of Functions
Students learn about linear approximation. The tutorial consists of examples with detailed solutions.
Cuemath
Cuemath: Integral
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
Wolfram Research
Wolfram Science World: Brownian Motion
This site from ScienceWorld gives a brief description of Brownian motion. It also goes on with a detailed series of formula derivations utilizing calculus. Links to related topics and definitions are given.
Illustrative Mathematics
Illustrative Mathematics: F If.6 Mathemafish Population
For this task, learners are presented with a table and a graph and are asked to summarize the data and report the findings of a project by the Environmental Protection Agency to contain the effects of an invasive species on a fish...
Texas Instruments
Texas Instruments: Least Squares Data Fitting
This activity will allow the student to generate an equation from data points based on minimizing the sum of squares of the vertical distances from each point.
Texas Instruments
Texas Instruments: Optimization
This activity shows the student how to determine the optimal solution for maximum volume based on the box-with-no-top problem.
Texas Instruments
Texas Instruments: Finding Extreme Values
In this activity, students can use symbolic algebra and graphing to find the extreme values for a polynomial function.
Other
Physics of Sound/image Analysis of Sound Pressure
A discussion on how to locate the sound image based upon the incident and reflected pulse of sound heard at a given location. For those looking for a challenge, follow the links to view derivations of wave equations for sound (uses...
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 3 [Pdf]
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 4 [Pdf]
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
Math Graphs
Houghton Mifflin: Math Graphs: Direction and Vectors 1 [Pdf]
Students are given the level curve of a function and are asked to sketch the vector showing the greatest rate of increase of the function. The practice exercise is available in PDF format.
ClassFlow
Class Flow: Integration by Substitution and Pattern Recognition
[Free Registration/Login Required] Two different techniques for integrating composite functions, pattern recognition and change of variables, are discussed using a process called u-substitution. This pattern recognition uses both of the...
Department of Defense
Do Dea: Normal Line to a Curve
The tangent to a curve is always found at a certain point along the curve. Often you will be asked to find the normal to a curve at a point. View an example on this site.
CK-12 Foundation
Ck 12: Analysis: Cross Products
[Free Registration/Login may be required to access all resource tools.] In this lessons students will be defining and calculating cross products and normal vectors. Students examine guided notes, review guided practice, watch...
CK-12 Foundation
Ck 12: Analysis: Rational Function Limits
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the limits of rational functions algebraically. Students examine guided notes, review guided practice, watch instructional videos and...
CK-12 Foundation
Ck 12: Analysis: Discrete and Continuous Functions
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between discrete and non-discrete functions. Students examine guided notes, review guided practice, watch instructional...