# Applied Calculus Cohort: Learning Outcomes and Existing OER

Learning Outcomes

These learning outcomes are the course level outcomes, over the whole course. We will still need to develop outcomes in each chapter of the resource we create. After looking over what was provided by members of our cohort, here is a list of outcomes that I believe we can go with. I did my best to compile everyone’s objectives they provided into a single list. If there is any overlap, or things I left out, we can cut down or add where needed.

1. Review exponents, graphs, and functions from Algebra.
2. Apply the concepts of limits and continuity to functions.
3. Interpret derivative as a slope of the tangent line and an instantaneous rate of change.
4. Find the derivative of functions, including determining the tangent line to the function at a specific given point, and relate to the concept of rate of change.
5. Apply the first and second derivative tests to locate relative extrema.
6. Describe the relation between definite integrals and areas between graph and horizontal axis.
7. Use techniques of integration to find particular or general antiderivatives.
8. Apply the Fundamental Theorem of Calculus to evaluate definite integrals.
9. Solve applied problems involving business, economics, and the social sciences.

Existing OER

Starting with an existing OER resource, and putting it into Pressbooks, I believe is the most favorable option. We can always add to that resource to build our own, and I would like us to consider doing that – to make this our own resource! Below is a list of what was provided by members of our cohort. We need to settle on which of these resources we would like to start with as our base to adapt.

1. Business Calculus (formerly Applied Calculus), by Shana Calaway, Dale Hoffman, and David Lippman: Index of /appcalc. A website version of the textbook: Business Calculus
2. Paul’s Notes: https://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx

Hi cohort!
Does anyone feel strongly about one of the resources shared to use it as our base textbook to start? We can always add to the content with the other material found.

I know we decided on the Business Calculus book as a starting point, but as we were signing off of the meeting I saw this Calculus I openstax book that was updated 2 days ago.

https://pressbooks.openedmb.ca/calculusvolume1firstuniversityofmanitobaedition/

I’ll look through it now to see if it could prove helpful.

I’m not sure if anybody had a chance to review this new source I found, but I like this book even though it doesn’t have applications. I’m sure we can take some chapters from it to merge into the other source material. Again, the link is here: Calculus Volume 1 – Simple Book Publishing

and it is openstax, which is a plus. We might want to get some input on this before Jared’s meeting on Thursday.

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Now that I realize this is the textbook we will use as a shell, I wanted everyone to realize that this book has a volume 2 which has chapters on integrals and applications of integrals. It might be good to copy those chapters into our beginning shell if we want to use the applications from it. I believe the integral chapter is mostly a repeat of a chapter 5 from volume 1. But Chapter 2 from Volume 2 may prove helpful to copy in.
Here is the link to volume 2: OpenStax
Once we review this book and begin deleting the material that is “pure calculus” we might need this supplemental material to complete our new course.

Also, I forgot to mention in the meeting today that I think we should keep the Business Calculus book under consideration if we need supplemental information. The Business Calc book link is here: Business Calculus
Let me know what you think!

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I think we wait until the Volume 1 text is cleaned up first, before we see what is needed from this Volume 2 resource. But thanks for finding this @karen.perilloux .