Updating search results...

Search Resources

150 Results

View
Selected filters:
  • cac077
Calculus I Course Content, The idea of substitution, The idea of substitution modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Undo the chain rule.Calculate indefinite integrals (antiderivatives) using basic substitution.Calculate definite integrals using basic substitution.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus I Course Content, Understanding functions, Understanding 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.State the definition of a function.Find the domain and range of a function.Distinguish between functions by considering their domains.Determine where a function is positive or negative.Plot basic functions.Perform basic operations and compositions on functions.Work with piecewise defined functions.Determine if a function is one-to-one.Recognize different representations of the same function.Define and work with inverse functions.Plot inverses of basic functions.Find inverse functions (algebraically and graphically).Find the largest interval containing a given point where the function is invertible.Determine the intervals on which a function has an inverse.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus I Course Content, Using limits to detect asymptotes, Using limits to detect asymptotes 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 when a limit is indicating there is a vertical asymptote.Evaluate the limit as xx approaches a point where there is a vertical asymptote.Match graphs of functions with their equations based on vertical asymptotes.Discuss what it means for a limit to equal ∞∞.Define a vertical asymptote.Find horizontal asymptotes using limits.Produce a function with given asymptotic behavior.Recognize that a curve can cross a horizontal asymptote.Understand the relationship between limits and vertical asymptotes.Calculate the limit as xx approaches ±∞±∞ of common functions algebraically.Find the limit as xx approaches ±∞±∞ from a graph.Define a horizontal asymptote.Compute limits at infinity of famous functions.Find vertical asymptotes of famous functions.Identify horizontal asymptotes by looking at a graph.Identify vertical asymptotes by looking at a graph.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus I Course Content, What is a limit?, What is a limit modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Consider values of a function at inputs approaching a given point.Understand the concept of a limit.Use limits to understand local behavior of functions.Calculate limits from a graph (or state that the limit does not exist).Understand possible issues when estimating limits using nearby values.Define a one-sided limit.Explain the relationship between one-sided and two-sided limits.Distinguish between limit values and function values.Identify when a limit does not exist.Define continuity in terms of limits.Use the continuity of famous functions (on their domains) when computing limits.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus I Course Content, Working with substitution, Working with substitution modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Determine when a function is a composition of two or more functions.Calculate indefinite and definite integrals requiring complicated substitutions.Recognize common patterns in substitutions.Evaluate indefinite and definite integrals through a change of variables.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus II Course Content
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

The Calculus II course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in February 2019. The course is part of the Ohio Transfer Module and is also named TMM006. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadJim Fowler                                         Ohio State UniversityRita Ralph                                         Columbus State Community CollegeContent ContributorsNela Lakos                                       Ohio State UniversityBart Snapp                                       Ohio State UniversityJames Talamo                                  Ohio State UniversityXiang Yan                                         Edison State Community CollegeLibrarianDaniel Dotson                                    Ohio State University                     Review TeamThomas Needham                             Ohio State UniversityCarl Stitz                                            Lakeland Community CollegeSara Rollo                                         North Central State College

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus II Course Content, Absolute and conditional covergence, Absolute and conditional convergence module
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Determine if a series converges absolutely or conditionally.Answer conceptual questions about absolute convergence 

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus II Course Content, Accumulated cross-sections, Accumulated cross-sections module
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Apply the procedure of “Slice, Approximate, Integrate” to derive a formula for volume of solids with known cross-section areasSet up an integral or sum of integrals that gives the volume of a solid whose cross sections are familiar geometric shapes.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus II Course Content, Alternating series, Alternating series modules
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Determine if a series converges using the alternating series test.Determine if a series converges absolutely.Determine if a series converges conditionally.Determine if an alternating series diverges.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus II Course Content, Applications of integration, Applications of integration module
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Understand linear density and its connection to mass.Calculate the mass of an objection with varying density.Understand work and how it is computed.Calculate work when force is varying.Know when to integrate a cross-section to solve a physics problem.Calculate work when distance is varying.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020
Calculus II Course Content, Approximating functions with polynomials, Approximating functions with polynomials module
Conditional Remix & Share Permitted
CC BY-NC
Rating
0.0 stars

After completing this section, students should be able to do the following.Compute Taylor polynomials.Use Taylor’s theorem to estimate the error of a Taylor polynomial.Determine the maximum error between a function and a given Taylor polynomial.

Subject:
Calculus
Material Type:
Module
Author:
Ohio Open Ed Collaborative
Date Added:
11/02/2020