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Calculus Review

taught by John Verzani


Brief Description:

This mini-course is a three-week primer on calculus for statistics.com students. 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.

Instructor(s):
Level: introductory

Who Should Take This Course:

Anyone who needs a refresher in calculus.

Dates:
May 25, 2012 to June 15, 2012September 07, 2012 to October 05, 2012
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Calculus Review

taught by John Verzani

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Please read the syllabus tab, noting the prerequisites, text and software requirements.

Register Online -$399
Register Online -$299 (you must be affiliated with a college, university or high school)

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Courses may fill up at any time and registrations are processed in the order in which they are received. Your registration will be confirmed for the first available course date, unless you specify otherwise. Multiple course registrations may be entitled to tuition discounts; read more.


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Calculus Review

taught by John Verzani



Aim of Course:

This course 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.

Prerequisite(s):

Course Program:

SESSION 1: Calculus Review, Limits, The Derivative

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

SESSION 2: Applications of the Derivative, The Integral

  • Applications
  • Area and the Riemann Sum
  • Computer Examples

SESSION 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.

Organization of the Course:

This course takes place over the internet 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.

The course typically requires 15 hours per week. 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.


Credit:
Students come to the Institute for a variety of reasons. As you begin the course, you will be asked to specify your category:
  1. You may be interested only in learning the material presented, and not be concerned with grades or a record of completion.
  2. 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.
  3. 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, 3.75 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. This text may be ordered here.

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.

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Calculus Review

taught by John Verzani



Instructor(s):
Dates:
May 25, 2012 to June 15, 2012September 07, 2012 to October 05, 2012
Course Fee: $399
Academic Rate: $299

Before registering, please read the syllabus tab, noting the prerequisites, text and software requirements. When you click the register button, you will be taken to our secure transaction page.

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