Math 25: Unit 3

Note: The information on this page is for the 8th edition of the textbook.
Click here for the 6th edition information or here for the 7th edition.

Table of Contents:

Topics
Study Guidelines

Topics
In this unit, you will study the basic properties of the graphs of the sine and cosine functions, with variations. You will also apply your knowledge of these to various spring problems.

• Review of graphing (2.2, 3.5)
• Simple harmonic motion: graphs of variations of sine and cosine (7.6, 7.8)
  • Period, amplitude, phase shift, vertical translation
• Applications to spring problems (9.5)

Study guidelines for the 8th edition of Sullivan's Algebra and Trigonometry

These reading and problem assignments are designed to help you learn the course material. You should complete all of these problems, check your answers in the back of the textbook, and get help with the problems that you missed. Most of the problems are odd-numbered, so you can check the solutions in the Solutions Manual.

The only way to learn mathematics is to do mathematics, so while these problems will not be graded carefully, you will probably not do well in the course if you do not complete these and check your work as described above.

• Sections 2.2 and 3.5 (review): Graphing
  
  • Reading: sections 2.2 and 3.5
    Concepts you should know:
    • x-intercepts, y-intercepts, axes
    • domain, range
    • increasing and decreasing intervals
    • vertical translation
    • horizontal translation
    • reflection
    • vertical compression and stretching
    • horizontal compression and stretching
      
      
• Section 7.6: Graphs of the Sine and Cosine Functions
  
  • Reading: section 7.6
    Read and work through examples 1-9 and their matched problems.
  • You can view an animation which illustrates how the sine curve is created.
  • Practice Problems: 7.6 #1, 2, 9-83 odd, 89, 91, 93, 95
    
    
• Section 7.8: Phase Shift; Sinusoidal Curve Fitting
  
  • Reading: section 7.8
    Read and work through examples 1-2 and their matched problems.
    You will not be required to find sinusoidal functions from data points, as in examples 3-5. However, it is a useful calculator skill, so we recommend that you read examples 3-5 and try problems 29 and 35.
  • Try out a java applet that illustrates the various aspects of harmonic motion: amplitude, period, and phaseshift.
  • Practice Problems: 7.8 #1, 3-17 odd, 29, 35
    
    
• Section 9.5: Simple Harmonic Motion; Damped Motion; Combining Waves
  
  • Reading: section 9.5
    Read and work through examples 1-2 and their matched problems.
    You will only be required to answer questions about simple harmonic motion, as in problems 5-20. Nevertheless, you should also read the section on Damped Motion (including example 3) and try problems 21 and 23.
  • You can view an animation which illustrates how the motion of a spring generates a cosine curve.
  • Practice Problems: 9.5 #1, 5-23 odd
    • Additional spring problems #1-4 (solutions are included)
      
      

• Student Solutions Manual
• CD lecture series (step-by-step video examples on CD)
  • Section numbering on the CD's corresponds to the 7th edition of the textbook. Use the section correlation guide to find the corresponding sections for the 6th edition.
• Video lectures are available on reserve in the CR library.
  • Section numbering on the video lectures corresponds to the 6th edition of the textbook.
• For tutoring help, visit the Prentice Hall Math Tutor Center. Tutors can be contacted by phone, fax, or e-mail. To register, you will need to first obtain an access code from me.
• Graphing Calculator Help

Math 25 home page