Calculus Teacher Resources
Calculus is the study of change, and the place where one has finally aquired enough of a math background to finally solve some real problems!
Showing 61 - 80 of 1,639 resources
Epsilon Delta Limit Definition 2
By using the Epsilon Delta definition of limits, Sal shows listeners how to prove an example limit problem. Specifically, given any epsilon distance away from L, the limit of f(x), he finds a delta that is within delta of the x value where then f(x) is within epsilon of the limit L.
11 mins 11th - Higher Ed Math
Equation of a Tangent Line
Using a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem provides a review of the product rule, slope-intercept form of a line, and steps for finding the equation of a line.
8 mins 11th - Higher Ed Math
L'Hopital's Rule Example 1
After applying L'Hopital's Rule once and showing that the limit is still indeterminate, Sal applies the rule a second and third time before arriving at a limit that exists. He then shows that given that the final limit exists, so do the previous ones including the limit of the first original problem.
8 mins 11th - Higher Ed Math
L'Hopital's Rule Example 2
Sal shows two different ways of finding the limit of a rational expression where the limit of the polynomial is of an indeterminate form involving infinity. First, he shows how to solve this using L�Hopital�s Rule and then by using the factoring method to solve for the limit algebraically.
5 mins 11th - Higher Ed Math
Limit Examples (Part 1)
One example, find the limit as x approaches -1 of (2x+2)/(x+1), is solved by simplifying the expression and then is explored intuitively by looking at the left and right-hand limit. The second example of finding the limit as x approaches 0 of 1/x is started here and continued on the part two.
9 mins 11th - Higher Ed Math
Calculus 2.1 day 2 - Step Functions
"Step functions" are sometimes used to describe real-life situations. This extensive lesson with many practice examples demonstrates two such functions: the Greatest Integer Function and the Least Integer Function. The commands on the TI-89 Graphing calculator for floor and ceiling functions are shown.
11th - 12th Math
Is There a Limit to Which Side You Can Take?
Calculus young scholars find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
9th - 12th Math CCSS: Designed
Use of CAS in Teaching Differential Calculus
Students explore the concept of differential calculus. In this differential calculus lesson, students use the derivative definition as h approaches zero to find the derivative of quadratic and 4th degree functions. Students use their Ti-89 to find the gradient of the secant and tangent.
11th - Higher Ed Math
Biological Models with Differential Equations
Explore differential equations by using models representing growth and decline. Using calculus, learners will investigate exponential and logistic growth in the context of several models representing the growth or decline of a population. Most of the models have a closed-form solutions.