Math 25: Unit 3
Unit 3 Target Date: Thursday, February 19
Unit 3 DEADLINE Date: Tuesday, February 24
Note: The information on this page is
for the 7th edition of the textbook.
Click here for the 8th edition
information.
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 graded carefully, 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
- Supplementary material (optional):
- 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.
- Video lectures are available on reserve in the CR library.
- Section numbering on the video lectures corresponds to the 6th edition of the
textbook. Use the section correlation guide
to find the corresponding sections for the 7th 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
See Blackboard for Written Assignment and Blackboard Assignment.
Be sure to read and follow the 'General Guidelines' (look in Blackboard).
Unit 3 Pretest and Exam Description
After completing the above work, do the following:
- Read the exam description:
- This exam has 20 questions, and pretests count as 20% of your
grade.
- This exam has a one hour time limit.
- Many of the questions expect an exact answer. You can type pi for the number pi and sqrt(2) for the square root
of 2, etc.
- Other questions on this exam ask for an approximation instead
of an exact answer. These questions will ask you to give an answer "with an accuracy of at least two decimals after the decimal
point" (or possibly one decimal, or three decimals,
etc.). In this case, you would have to
enter at least two digits after the decimal point. For example, if you calculate
your answer to be 1.41421356237, then you could enter 1.41, 1.414, 1.4142, etc. When
you view your corrected exam, you will see that the "correct" answer is
1.41421356237
0.01.
The
symbol means "plus or minus", so anything within 0.01 of the first number
counts as correct.
- If a question does not ask for an approximation, then your answer
must be exact.
- If a question asks for an integer approximation, then your answer
must be an integer.
- Be sure to look under the entry box for the expected format of
the answer.
- Some problems expect an ordered pair, such as (1/2,sqrt(3)/2).
- Some problems expect a list, separated by commas, such as 1/2,sqrt(3)/2,sqrt(3). The values must be listed in the order requested in the problem.
- None of the problems in this course require answers in terms of
units, or dimensions (for example, "5
cm" or "3 ft"). In particular, questions asking for radians or degrees do
not expect units (in fact, as noted on page 481, radian measure is a dimensionless
number). Thus, you should not write answers like "pi/4 radians" or "45
degrees". Just write "pi/4" or "45" instead (the problem
will tell you if you are supposed to use radians or degrees).
- If an angle measure doesn't say "degrees" or use the
degree symbol, then it is in radians.
- Make sure your calculator is set to the correct
mode (radians or degrees) for each question.
- 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
- 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 -- each pretest counts equally, and they comprise 20% of your grade.
- Directions: At the testing
web site, choose the Unit 3 Pretest/HW assignment.
- The pretest must be completed by the deadline date listed in Optimath.
However, you may redo the pretest as many times as you like before the deadline date.
Your best score counts.
- 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" handout.
- Go to the Academic Support Center to take the online proctored
Unit 3 Exam
assignment. 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.
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 Pretest/HW" assignment. 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 and do the
problems listed in the Study Guidelines. Use any of the listed supplementary
material to help you understand the concepts.
- Update your Reference Book as you study.
- Complete the Discussion Board assignment in Blackboard.
- Prepare for Quizzes in class.
- Complete the Unit Written
Assignment.
- Complete the online Unit
Pretest/HW assignment (read the exam description first).
- Complete the online proctored Unit
Exam.
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