### Calculus Review

Calculus Review

taught by Thomas Ryan

Aim of Course:

This online course, "Calculus Review" is a refresher in calculus, aimed especially at students desiring to take advanced statistics courses. Calculus at this level concerns itself with three primary concepts: the limit, the derivative and the integral. Applications involving statistics supplement the more traditional calculus examples. Participants will learn how to find and interpret derivatives and integrals, both by hand and via software.

Course Program:

## WEEK 1: Calculus Review, Limits, The Derivative

- Pre-Calculus Concepts
- Limits
- Differentiation
- Computer Examples

## WEEK 2: Applications of the Derivative, The Integral

- Applications
- Area and the Riemann Sum
- Computer Examples

## WEEK 3: Integration

- Fundamental Theorem of Calculus
- Antiderivatives: Evaluation of Indefinite Integrals
- Applications
- Computer Examples

HOMEWORK:

Short answer questions to test concepts and guided numerical problems using software.

In addition to assigned readings, this course also has example software files, and supplemental readings available online.

# Calculus Review

Who Should Take This Course:

Anyone who needs a refresher in calculus.

Level:

introductory

Familiarity with algebra

Need a refresher on logarithms, exponents, etc?

Check out the "pre-caculus" section at themathpage.com

Organization of the Course:

This course takes place online at the Institute for 3 weeks. During each course week, you participate at times of your own choosing - there are no set times when you must be online. Course participants will be given access to a private discussion board. In class discussions led by the instructor, you can post questions, seek clarification, and interact with your fellow students and the instructor.

At the beginning of each week, you receive the relevant material, in addition to answers to exercises from the previous session. During the week, you are expected to go over the course materials, work through exercises, and submit answers. Discussion among participants is encouraged. The instructor will provide answers and comments, and at the end of the week, you will receive individual feedback on your homework answers.

Time Requirement:

About 15 hours per week, at times of your choosing.

Credit:

Students come to the Institute for a variety of reasons. As you begin the course, you will be asked to specify your category:

- You may be interested only in learning the material presented, and not be concerned with grades or a record of completion.
- You may be enrolled in PASS (Programs in Analytics and Statistical Studies) that requires demonstration of proficiency in the subject, in which case your work will be assessed for a grade.
- You may require a "Record of Course Completion," along with professional development credit in the form of Continuing Education Units (CEU's). For those successfully completing the course, CEU's and a record of course completion will be issued by The Institute, upon request.

Course Text:

*Calculus* by Gudmund R. Iversen of Swarthmore College, PA, USA, copyright 1996, 88 pages, SAGE Publications, Inc. Series: Quantitative Applications in the Social Sciences Volume 110.

Each session of the course is supplemented with detailed examples and then some problems with available solutions. The additional material is provided in .pdf or html format during the course.

Software:

Examples of using Sage to solve various problems are given. Sage is a free-to-use, open-source software system that can do symbolic mathematics and is available at no charge at Sage Notebook.

# Calculus Review

June 02, 2017 to June 23, 2017June 01, 2018 to June 22, 2018