Module 1: Mathematics I

Folder description

Module 1 contains 17 videos which present:

  1. The Derivative (1A)
  2. Derivative of Combinations of Functions (1B)
  3. The Chain Rule (1C)
  4. Implicit Differentiation (1D)
  5. Related Rates (1E)
  6. Maximum and Minimum Values (1F)
  7. The Mean Value Theorem (1G)
  8. Exponential Growth and Decay (1H)
  9. Limits at Infinity (1I)
  10. The Reimann Sum and the Integral (1J)
  11. The Definite and Indefinite Integral (1K)
  12. Fundamental Theorem of Calculus (1L)
  13. Integration by Substitution (1M)
  14. The Integral – Area Between Two Curves (1N)
  15. The Integral - Volume (1O)
  16. The Integral - Length of a Curve (1P)
  17. The Integral - Area of a Surface (1Q)

Click the Lectures link above to access and watch the videos.

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Overview SummaryObjectives

Cell description

Summary

In this module we review the basics of calculus the ideas of limits and the definitions of derivatives and integrals.

Objectives

By the end of this module, you will be able to:

  • Provide the formal definition of a derivative limit.  
  • Describe various canonical forms of differentiation and integration.
  • Show mastery of several techniques of including related rates finding maximum and minimum critical point locations.
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Learning Guide

Cell description

Please view all the lecture videos and complete the Assignment Packet for this review of Calculus.  The discussion questions can be found in the Discussion section below. Complete this module by submitting the module assignment packet following the appropriate naming convention for the document. Please post any questions to the Q & A section of the Discussion Board.

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Readings

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As appropriate in completing your homework assignment, you may review the Schaum’s Outline for this portion of EN.525.201.

Technical
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Module 1 Discussion

Cell description

Click the Module 1 Discussion link above to access and participate in this week’s discussion by responding to the prompts below. 

When were you first exposed to Calculus?

Was there anything in Module 1's presentation of its material that helped you understand something about Calculus that you might not have understood before?

What was the hardest concept of Calculus I for you to master?

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Module 1 Assignment

Cell description

Download the attached PDF which contains full instructions for completing the assignment. You are only required to attempt the problems labeled "**PROBLEM" (there are 18 in total).  The problems labeled "PRACTICE" do not need to be attempted but are provided for your benefit.  Please submit your solutions as a PDF file by clicking the Module 1 Assignment link above, using the following format: LASTNAME_HW1.PDF.

Please note that this is a long assignment and may take quite a bit of time to complete, but it is a very effective tool to get your mind back in shape for the kinds of problems you will likely face in your ECE graduate studies.  I recommend answering the problems in a handwritten format and then scanning them, but you are welcome to use electronic tools to generate your homework submission.

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