Blue Ridge Community College/Stuarts Draft High School
MTH 164-91 Precalculus II
Spring 2012
INSTRUCTOR: Kathy Childress (kchildress@augusta.k12.va.us)
COURSE DESCRIPTION: Presents trigonometry, analytic geometry, and sequences and series.
Prerequisites: MTH 163 or equivalent. (Credit will not be awarded for both MTH 164 and MTH
166.)
STUDENT PERFORMANCE OBJECTIVES: Upon completion of this course, the student
should be able to:
1. Measure angles in both degrees and radians and convert between the two
2. Find the exact values of the trigonometric functions of special angles
3. Use calculator to evaluate the value of a trigonometric function
4. Use reference angles to evaluate trigonometric functions of any angle
5. Determine the domain, range and period of the trigonometric functions
6. Know and use the fundamental trigonometric identities
7. Sketch graphs of trigonometric functions
8. Calculate amplitude, period, and phase shift of trigonometric functions
9. Evaluate inverse trigonometric functions
10. Know the restricted domains and ranges of inverse trigonometric functions
11. Use the sum and difference identities, the multiple angle identities, and the half-angle
identities
12. Solve trigonometric equations
13. Verify trigonometric identities
14. Use the law of sines and law of cosines to solve applied problems
15. Solve applied problems involving harmonic motion
16. Graph sum of two functions
17. Convert between polar and rectangular coordinates
18. Graph polar equations and parametric equations
19. Convert a complex number from rectangular to polar form
20. Find complex roots
21. Graph vectors and perform operations with vectors
22. Find the dot product and the cross product of vectors
23. Know the equations and properties of the conic sections, be able to sketch their graphs,
and solve application problems involving them
24. Find the nth term of an arithmetic or a geometric sequence
25. Use summation notation and the properties
26. Find sum of a finite arithmetic or geometric sequence
27. Find the sum of finite and infinite geometric sequences
28. Solve counting problems using permutations and combinations
ATTENDANCE: The Stuarts Draft High School Student Handbook explains their attendance
policy, which this class will follow. The student is expected to attend all classes. It is the
student’s responsibility to get work missed from an absence. All work is to be made up within 3
days. Make up work is graded as zero after 3 unexcused absences. In addition, you need to be
aware that BRCC expects you to attend every class. School related absences (i.e. sports, choir,
etc.) are not recognized by BRCC. Keep absences to a minimum. Notify the instructor and get
any work needed before the absence. In a college course, make-up work and tests are given
and/or accepted at the sole discretion of the instructor. In case of snow days, work will
continue. An online assignment will be given.
GRADING POLICY:
80% of the grade is from 7 tests each worth 100 points, various quizzes each worth 50
points, and several projects worth varying amounts of points.
10% of the grade is from homework
10% of the grade is from class participation where 100 points are assigned and the
points are deducted for rule infractions and absences.
The grading scale will be based on percentages as follows:
90% - 100% A
80% - 89%
B
70 % – 79% C
60% - 69%
D
Below 60%
F
There will be an exam that will count as 2 test grades.
TEXT: Precalculus, 9th Edition, Sullivan; Pearson/Prentice-Hall, 2012
My Math Lab, an internet site with problems that coordinate with the text book.
INSTRUCTIONAL MATERIALS: Graphing Calculator will be used extensively in the class.
These are available in the classroom for in room use, but the student would benefit from having
their own calculator. The student also needs a 3-ring binder or spiral notebook, whichever
he/she is best at organizing. The student will also need internet access to do the homework
that is assigned to be done on the Course Compass site.
CLASS SCHEDULE AND SEQUENCE OF INSTRUCTION:
The following is a tentative schedule and is subject to change at any time. We will cover
the sections in the order listed, but not necessarily on the dates listed. Students are
responsible for all material form the textbook sections listed below whether covered in class or
not.
Week 10: March 26 - 30
6.1 Angles and their measure
6.2 Trigonometric Functions: Unit Circle approach
6.3 Properties of the trigonometric functions
6.4 Graphs of Sine and Cosine functions
Week 11: April 2 - 5
Quiz – Properties of Trigonometric functions
6.5 Graphs of tangent, cotangent, cosecant, and secant functions
6.6 Phase shift: sinusoidal curve fitting
TEST – Chapter 6
Week 12: April 10 - 13
7.1 and 7.2 Inverse sine, cosine and tangent functions
7.3 Trigonometric Equations
7.4 Trigonometric Identities
Quiz - Trigonometric identities
7.5 Sum and difference formulas
7.6 Double and half-angle formulas
Week 13: April 16 - 20
7.7 Product-to-sum and Sum-to-product formulas
Quiz – 7.5, 7.6, 7.7
TEST – Chapter 7
8.1 Right triangle trigonometry: Applications
8.2 Law of sines
8.3 Law of cosines
Week 14: April 24 - 27
8.4 Area of a triangle
TEST – Chapter 8
9.1 Polar Coordinates
9.2 Polar equations and graphs
Week 15: April 30 - May 4
9.3 The complex plane: DeMoivre’s Theorem
9.4 Vectors
9.5 Dot product
9.6 Vectors in space
9.7 Cross product
Week 16: May 7 - 11
TEST - Chapter 9
10.1 Conics
10.2 Parabola
10.3 Ellipse
10.4 Hyperbola
Week 17: May 14 - 18
10.7 Plane curves and Parametric equations
TEST – Chapter 10 – Conics
12.1 Sequences
12.2 Arithmetic Sequences
12.3 Geometric Sequences – Geometric series
Week 18: May 21 – May 25
12.4 Mathematical Induction
12.5 Binomial Theorem
Quiz – Chapter 12
Week 19: May 29 – June1
13.1 Sets and counting
13.2 Permutations and combinations
13.3 Probability
TEST - Chapters 12 and 13
EXAM – June 4/6
HONOR CODE
The functioning of an academic community depends on the integrity of all of its members. Blue Ridge Community College values truthfulness, respect for
the property of others, and honesty in academic work. Violations of these values may result in permanent dismissal from the College. The Statement on
Student Rights and Responsibilities, located in the Catalog and Student Handbook, and the Statement on Academic Honesty below, provide specific
guidelines which encompass this code.
Academic Honesty
When College officials award credit, degrees, diplomas, and certificates, they must assume the absolute integrity of the work done by students; therefore,
it is important that each student maintains the highest standard of honor in his or her scholastic work. Academic dishonesty cannot be condoned. When
such misconduct is established as having occurred, students are subject to possible disciplinary actions ranging from admonition to dismissal, along with
any grade penalty the instructor may impose in accord with their syllabus and college policies. Procedural safeguards of limited due process and appeal
are available to students in disciplinary matters. Grade disputes about a grade assigned as a result of academic dishonesty can only be resolved through
the grade appeal procedure. No withdrawal policy outlined in the College Catalog and Student Handbook can supersede a grade penalty assigned as a
consequence of an academic honesty violation.
Academic dishonesty includes, but is not limited to, one of the following acts:
1.
Cheating on an examination or quiz, including the giving, receiving or soliciting of information, the unauthorized use of notes or other
materials during the examination or quiz.
2.
Buying, selling, stealing or soliciting any material purported to be the unreleased contents of a forthcoming examination, or the use of such
material.
3.
Substituting for another person during an examination and/or quiz, including online exams or quizzes, or allowing such substi tution for one’s
self.
4.
Plagiarism. This is the act of using content and/or ideas from the work of another individual, either word for word or in substance, and
representing them as one’s own work. This includes any submission of written work other than one’s own. There are three types of plagiarism
as listed in Donald A. Sears’ book Harbrace Guide to the Library and Research Paper, 3rd Edition (New York: Harcourt, 1972, p. 45). They
are:
a.
Word-for-word plagiarism: The submission of the work of another source without proper acknowledgment of that source by
footnote, bibliography or reference in the paper.
b.
Patchwork plagiarism: Submitting a work that is stitched together from a variety of sources that does not indicate direct quotes or
acknowledgment of those sources.
c.
Unacknowledged paraphrase: Restatement or rewording of another author’s original thought or idea must be acknowledged.
Restatement by means of paraphrase does not remove the necessity of giving credit to original sources. Refer to the Library
website for more information on plagiarism. (http://www.brcc.edu/library/)
5.
Collaboration with another person in the preparation or editing of assignments submitted for credit without advance approval from the
instructor.
6.
Knowingly furnishing false information to the College including, but not limited to, forgery, alteration or use of College documents, or
instruments of identification with intent to defraud.