Updating search results...

Search Resources

3503 Results

View
Selected filters:
Calculus I Course Content, Antiderivatives, Antiderivatives Modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Define an antiderivative.Compute basic antiderivatives.Compare and contrast finding derivatives and finding antiderivatives.Define initial value problems.Solve basic initial value problems.Use antiderivatives to solve simple word problems.Discuss the meaning of antiderivatives of the velocity and acceleration.

Subject:
Calculus
Material Type:
Module
Author:
Jim Fowler
Date Added:
07/03/2019
Calculus I Course Content, Antiderivatives and area, Antiderivatives and area modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Interpert the product of rate and time as area.Approximate position from velocity.Recognize Riemann sums.

Subject:
Calculus
Material Type:
Module
Author:
Jim Fowler
Date Added:
07/05/2019
Calculus I Course Content, Application of integrals, Application of integrals modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Given a velocity function, calculate displacement and distance traveled.Given a velocity function, find the position function.Given an acceleration function, find the velocity function.Understand the difference between displacement and distance traveled.Understand the relationship between position, velocity and acceleration.Calculate the change in the amount.Compute the average value of the function on an interval.Understand that the average value of the function on an interval is attained by the function on that interval.

Subject:
Calculus
Material Type:
Module
Author:
Jim Fowler
Date Added:
07/05/2019
Calculus I Course Content, Applied related rates, Applied related rates modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Identify word problems as related rates problems.Translate word problems into mathematical equations.Solve related rates word problems.

Subject:
Calculus
Material Type:
Module
Author:
Jim Fowler
Date Added:
07/02/2019
Calculus I Course Content, Approximating the area under a curve, Approximating the area under a curve modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Express the sum of n terms using sigma notation.Apply the properties of sums when working with sums in sigma notation.Understand the relationship between area under a curve and sums of areas of rectangles.Approximate area of the region under a curve.Compute left, right, and midpoint Riemann sums with 10 or fewer rectangles.Understand how Riemann sums with n rectangles are computed and how the exact value of the area is obtained by taking the limit as n→∞n→∞ .

Subject:
Calculus
Material Type:
Module
Author:
Jim Fowler
Date Added:
07/03/2019
Calculus I Course Content, Chain rule, Chain rule modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Recognize a composition of functions.Take derivatives of compositions of functions using the chain rule.Take derivatives that require the use of multiple rules of differentiation.Use the chain rule to calculate derivatives from a table of values.Understand rate of change when quantities are dependent upon each other.Use order of operations in situations requiring multiple rules of differentiation.Apply chain rule to relate quantities expressed with different units.Compute derivatives of trigonometric functions.Use multiple rules of differentiation to calculate derivatives from a table of values.

Subject:
Calculus
Material Type:
Module
Author:
Jim Fowler
Date Added:
07/02/2019
Calculus I Course Content, Computations for graphing functions, Computations for graphing functions modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Find the intervals where a function is increasing or decreasing.Find the intervals where a function is concave up or down.Determine how the graph of a function looks without using a calculator.

Subject:
Calculus
Material Type:
Module
Author:
Jim Fowler
Date Added:
07/02/2019
Calculus I Course Content, Concepts of graphing functions, Concepts of graphing functions modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Understand what information the derivative gives concerning when a function is increasing or decreasing.Understand what information the second derivative gives concerning concavity of the graph of a function.Interpret limits as giving information about functions.Determine how the graph of a function looks based on an analytic description of the function.

Subject:
Calculus
Material Type:
Module
Author:
Jim Fowler
Date Added:
07/02/2019
Calculus I Course Content, Continuity and the Intermediate Value Theorem, Continuity and the Intermediate Value Theorem Modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Identify where a function is, and is not, continuous.Understand the connection between continuity of a function and the value of a limit.Make a piecewise function continuous.State the Intermediate Value Theorem including hypotheses.Determine if the Intermediate Value Theorem applies.Sketch pictures indicating why the Intermediate Value Theorem is true, and why all hypotheses are necessary.Explain why certain points exist using the Intermediate Value Theorem.

Subject:
Calculus
Material Type:
Module
Author:
Jim Fowler
Date Added:
06/28/2019
Calculus I Course Content, Definite integrals, Definite integrals modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Use integral notation for both antiderivatives and definite integrals.Compute definite integrals using geometry.Compute definite integrals using the properties of integrals.Justify the properties of definite integrals using algebra or geometry.Understand how Riemann sums are used to find exact area.Define net area.Approximate net area.Split the area under a curve into several pieces to aid with calculations.Use symmetry to calculate definite integrals.Explain geometrically why symmetry of a function simplifies calculation of some definite integrals.

Subject:
Calculus
Material Type:
Module
Author:
Jim Fowler
Date Added:
07/03/2019