Module 2: Mathematics II

Folder description

Module 2 contains 16 videos which present:

  1. Inverse Functions (2A)
  2. The Natural Exponential (2B)
  3. The General Exponential and Logarithmic Functions (2C)
  4. Hyperbolic Functions (2D)
  5. The Inverse Trigonometric Functions (2E)
  6. L’Hopital’s Rule (2F)
  7. Integration By Parts (2G)
  8. Trigonometric Integrals (2H)
  9. Partial Fractions (2I)
  10. Polynomial Approximations (2J)
  11. Power Series (2K)
  12. Taylor Series (2L)
  13. Vector In Space (2M)
  14. The Dot Product (2N)
  15. The Cross Product (2O)
  16. Conclusion To 201’s The Review of Mathematics (2P)

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

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Overview SummaryObjectives

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Summary

In this module we review the basics of calculus including techniques of integration, partial fractions, power and Taylor series and other areas of calculus.

Objectives

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

  • Provide the formal integration by parts.
  • Describe various canonical forms of partial fractions expansions, trigonometric integration, and trigonometric substitution.
  • Show mastery of several integration techniques including partial fractions expansions, trigonometric integration, and trigonometric substitution, and integration by parts.
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Learning Guide

Cell description

Please view all the lecture videos and complete the Assignment Packet 2.  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

Cell description

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 2 Discussion

Cell description

Click the Module 2 Discussion link above to access and participate in this week’s discussion by responding to the prompts below. 

What advanced mathematics have you studied (either formally in a class or informally)?  What topics would you like to study?

What was the hardest concept of Calculus II or III for you to master?

Have you used any of the Calculus concepts we've studied in Modules 1 and 2 in "the real world?"  If so, please describe how you have done so.

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Module 2 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 8 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 2 Assignment link above, using the following format: LASTNAME_HW2.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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