Math 25: Unit 3

Target Date: Thursday September 28
Deadline: Friday September 29

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

Table of Contents:

Topics
Study Guidelines
Unit Written Assignment
Unit Pretest and Exam Description
Checklist

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 (6.6, 6.8)
  • Period, amplitude, phase shift, vertical translation
• Applications to spring problems (8.5)

Study guidelines for the 7th 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 collected or graded, you will probably not do well in the course if you do not complete these and check your work as described above. After completing these problems, go on to the Unit Exam Description below and follow directions.

• 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 6.6: Graphs of the Sine and Cosine Functions
  • Reading: section 6.6
    Read and work through examples 1-10 and their matched problems.
  • You can view an animation which illustrates how the sine curve is created.
  • Practice Problems: 6.6 #1, 2, 9-91 odd
    
    
• Section 6.8: Phase Shift; Sinusoidal Curve Fitting
  • Reading: section 6.8
    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 I recommend that you read example 4 and try problem 21ade. You might also want to read examples 3 and 5 and try problem 27 for interest.
  • Try out a java applet that illustrates the various aspects of harmonic motion: amplitude, period, and phaseshift.
  • Practice Problems: 6.8 #1, 3-17 odd, 21ade
    
    
• Section 8.5: Simple Harmonic Motion; Damped Motion; Combining Waves
  • Reading: section 8.5
    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: 8.5 #1, 5-23 odd
    • Additional spring problems #1-4 (solutions are included)
      
      
• Supplementary material (optional):
  • Student Solutions Manual
  • Algebra Review booklet
  • 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 7th edition of the textbook. Use the section correlation guide to find the corresponding sections for the 6th edition.
  • 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 use your access code.
  • Graphing Calculator Help

Unit 3 Written Assignment

Complete the following problems by Thursday September 28:

• View or print this handout with the detailed assignment
  (pdf format - you will need a copy of Acrobat Reader to view and print the file)

Be sure to read and follow the Homework Guidelines.
Post a question on Blackboard if you are unsure of how to begin one of the problems.

Unit 3 Pretest and Exam Description

After completing the above work, do the following:

1. Read the exam description:
   • This exam has 20 questions, and will count 20 points toward your grade. 
   • This exam has a one hour time limit.
   • Be sure to look under the entry box for the type of answer expected.
     • Some problems ask you for the formula (i.e., function) which corresponds to a given graph (similar to problems #75-84 of section 6.6). Your answer should be something like 4*sin(3x). Do not put y= in front. Also, make sure that you put in enough parentheses in your answers, and put them in the correct places. For example, the answer 4*sin(3)x would not be the same as 4*sin(3x).
     • Some problems expect several answers. You have to enter these in the order requested in the problem, separated by commas. For example, if the question is What are cos x, sin x, tan x?, your answer might be something like 1/2,sqrt(3)/2,sqrt(3).
   • Make sure your calculator is set to the correct mode (radians or degrees) for each problem.
   • This exam will be much easier if you are good at using the graphing features of your calculator. However, it will slow you down if you depend too much on your calculator. Be sure to consider basic properties such as periods, amplitudes, and phase shifts when you are dealing with questions about graphs.
2. Complete the online Unit 3 Pretest assignment. You may use your book if you wish, and redo the pretest as many times as you like. Your pretest score will be scaled to 5 points maximum.
   • Directions: At the testing web site, choose the Unit 3 Pretest.
   • The pretest must be completed by the deadline date listed at the top of this page.
     However, you may redo the pretest as many times as you like before the deadline date. Your best score counts, and it will be rescaled to 5 points maximum.
   • See the instructions for pretests.
3. If you are having trouble with any of the problems listed above or on the pretest or practice exams, make use of the help resources listed on the Help page.
4. Go to the Academic Support Center to take the online proctored Unit 3 Exam assignment (see the instructions for proctored exams). Remember to bring identification, and remember that you will not be able to take the unit exam after the deadline date given at the top of this page. You may NOT use your book or notes on this exam.
   • Directions: At the testing web site, choose Unit 3 Exam.
   • The proctored unit exam must be completed by the deadline date listed at the top of this page, and may be repeated under certain conditions. See the Detailed Schedule page for specific rules.

   Note: Remember that you can always go back and take practice exams on this unit after the deadline has passed. In particular, this will help you prepare for the midterm and final exams.

   • Directions: At the testing web site, choose Unit 3 Practice Exam. After the deadline has passed, this exam will be available in practice mode.

Unit 3 Checklist

Make sure that you have finished the following items to complete Unit 3:

• Read the material listed in the Study Guidelines.
• Practice the problems listed in the Study Guidelines, and use any of the lsited supplementary material to help you understand the concepts.
• Complete the Unit Written Assignment.
• Complete the online Unit Pretest (read the exam description first).
• Complete the online proctored Unit Exam.

Distance Education students: Remember to check in each week with the instructor, and participate in the online discussion forums on Blackboard.

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