Penn State University - University Park
MATH 041, Trigonometry and Analytic Geometry
Fall 2009
CATALOG DESCRIPTION: MATH 041 (GQ) Trigonometry and Analytic Geometry (3) Straight lines; circles;
functions and graphs; graphs of polynomial and rational functions; exponential and logarithmic functions;
trigonometry; conic sections.
PREREQUISITE: Math 21 or satisfactory performance on the mathematics proficiency examination; 1 high school
unit of geometry.
TEXT: Algebra and Trigonometry, 2nd ed; Stewart, Redlin, Watson; published by Thomson, Brooks/Cole. An
electronic version of the text (e-text) is available chapter by chapter through http://pennstate.ichapterssites.com
COURSE FORMAT: There are three 50-minute lectures each week. The sections covered in these lectures are listed
at the end of this syllabus.
MATH 041 LEARNING OBJECTIVES :
Upon successful completion of Math 041, the student should be able to:
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Solve various types of equations.
Solve quadratic equations by factoring, completing the square, and the quadratic formula.
Add, subtract, multiply, and divide complex numbers.
Solve linear, absolute value, non-linear and rational inequalities.
Find distance between 2 points in the coordinate plane.
Find the midpoint of a line segment.
Find x- and y-intercepts of a graph.
Translate the graph of a circle in standard or general form.
Write the equation of a line.
Write equations of parallel and perpendicular lines to a given line.
Identify functions from algebraic, graphical, tabular and verbal representations.
Use function notation when evaluating functions.
Identify domain and range of functions.
Graph a piece-wise defined function.
Identify properties of graphs such as relative and global maximum and minimum, symmetry, increasing,
decreasing, even, and odd.
Identify graphs of Basic Functions and their properties.
Transform the graph of a function.
Extract information from quadratic models.
Translate applications into algebraic models and solve.
Perform operations on functions, including composition of functions.
Identify one-to-one functions.
Identify, analyze and graph the inverse of a function. Find the inverse of a given function.
Analyze and graph polynomials functions.
Divide a polynomial function by another polynomial function.
Graph rational functions.
Analyze and graph exponential and logarithmic functions
Solve exponential and logarithmic equations.
Explain what a logarithm is.
Use logarithm properties to simplify an expression.
Evaluate trigonometric functions of any angle.
Use special triangle ideas to label a given point on the unit circle.
Sketch the graphs of the trigonometric functions.
Evaluate inverse trigonometric functions.
Apply the principles of trigonometry to the solution of equations.
Apply the principles of trigonometry to verification of identities.
Use the trigonometric forms of complex numbers with basic operations.
CALCULATORS: A graphics calculator is useful as a study and learning tool when used appropriately, but it is not
essential. No calculators are allowed on quizzes, midterms, or on the final examination.
TUTORS AND MATH CENTER: Free mathematics tutoring is available at Penn State Learning located in 220
Boucke Building. For more information, go to the PSU Learning webpage. If you need extra help, a (paid) tutors list
maintained by the Mathematics Department Undergraduate Office is available.
EXAMINATIONS: Two 75-minute evening examinations will be given during the semester and a comprehensive
final examination will be given during the final examination period. NO books, notes, or calculators may be used on
the examinations. You must bring your University ID card to all exams. The examinations will be given from 6:30 to
7:45 PM on the following dates:
Midterm Examination I
Tuesday, October 6
Midterm Examination II Monday, November 2
Rooms for examinations will be announced by your instructor at a later date and may also be found on the Courses
website
CONFLICT EXAMINATIONS: For the two mid-semester examinations, there is a conflict examination from 5:05
to 6:20 PM on the same night as the regular examination.
Who may take the Conflict Exam? If you have a valid conflict with the regular examination time, such as a class or
other scheduled activity, you may sign up for the conflict exam.
How and when to sign up for the Conflict Exam. Students must sign up for the Conflict Exam in class, with your
instructor, on a pink form. The student is responsible for knowing the room and time of the conflict
examination. This information is on the pink form. Your instructor must turn in the pink form 2 class
days prior to the examination date. If you have not signed up with your instructor, you will not be allowed to
take the conflict exam.
Instructions on Conflict Exam night. The student is responsible for knowing the room and time of the conflict
examination. Students must bring their University ID to the conflict examination. The ID will be
checked by the proctor. Although the conflict examination will end at 6:20 PM, no student will be
permitted to leave the examination room before 6:25 PM. Any student who leaves before 6:25 PM will
receive a grade of zero on the examination and will not be allowed to retake it.
MAKEUP EXAMINATIONS: A makeup exam will be given about a week following the regularly scheduled exam.
Who may take the makeup exam? Students who have a valid documented reason, such as a class conflict or illness,
during both the conflict and regular examination times are permitted to schedule a makeup examination with
no penalty. You must be prepared to verify the reason for taking the makeup. Students who do not have a
valid reason for missing the examination, such as forgetting the date, time, or room of an examination, or
attending Greek rush events, are permitted to schedule the makeup, but 20 points will be deducted from their
score. Students who have taken either the regularly scheduled examination or conflict examination are not
permitted to take the makeup examination. Students who have not signed up for the makeup exam 2 days prior
to the exam date will not be allowed to take the exam. The makeup examinations are given from 6:30 to 7:45
PM on the evenings listed below:
Makeup Examination I
Monday, October 12
Makeup Examination II Tuesday, November 10
How and when to sign up for the Makeup Exam. Students must sign up for the Makeup Exam in class, with your
instructor, on a yellow form, as soon as possible following the regular exam date. The student is
responsible for knowing the room and time of the makeup examination. This information is on the
yellow form. Your instructor must turn in the yellow form 2 class days prior to the examination date. If you
have not signed up with your instructor, you will not be allowed to take the makeup exam.
Instructions on Makeup Exam night. The student is responsible for knowing the room and time of the makeup
examination. On the day of the exam the room will be posted on the door of 104 McAllister. Students must
bring their University ID to the makeup examination. The ID will be checked by the proctor.
What if a student misses both the regularly scheduled exam and the makeup exam? If a student misses both the
regularly scheduled examination and the scheduled makeup due to a valid, verifiable reason, it may be
possible to take a makeup examination by appointment. All such makeup examinations must be scheduled
through the instructor with the approval of the course coordinator and must be completed no later than one
week after the scheduled makeup examination.
FINAL EXAMINATION: The final examination will be given during the week, December 14-18, 2009. The final
examination may be scheduled on any day during the final examination period. Do not plan to leave University
Park until after Fri, December 18, 2009. Students may access their final exam schedule Monday, September 28,
through their e-lion account. Notification of conflicts is given on the student's final exam schedule. There are two
types of conflict examinations, direct and overload. Direct conflicts are two examinations scheduled at the same time.
Overload examinations are three or more examinations scheduled within a fifteen hour period, from the beginning of
the first examination to the beginning of the third examination. Students may elect to take the three or more
examinations on the same day if they wish or request a conflict final examination. A student must take action to
request a conflict exam through e-lion between September 28 and October 18, 2009. Conflict final examinations
cannot be scheduled through mathematics department, and there will be no sign up sheet in 104 McAllister for
the final conflict examination. Students who miss both the regular and conflict final examinations due to a valid and
documented reason, such as illness, may be allowed to take a makeup final examination. If the student does not have a
valid reason, at least a 30-point penalty will be imposed. All such makeup examinations must be arranged through the
instructor with the approval of the course coordinator, and students in such a situation should contact their instructor
within 24 hours of the scheduled final examination. Students who have taken the original final examination are not
permitted to take a makeup examination.
LATE-DROP: Students may add/drop a course without academic penalty within the first ten calendar days of the
semester. A student may late drop a course within the first twelve weeks of the semester but accrues late drop credits
equal to the number of credits in the dropped course. A baccalaureate student is limited to 16 late drop credits. The late
drop deadline for Fall 2009 is November 13, 2009.
GRADES: Your course grade will be determined by your exam scores and a homework/quiz score (labeled “QZ” by
Testing Services).
Total possible points follow:
Examination I
Examination II
Homework and/or quizzes
Final Examination
Total
100
100
100
150
450
The exact point requirements for each letter grade will be decided at the end of the course.
A typical distribution follows:
Grade
%-score
Points
A, A-
90-100
405-450
B+, B, B-
80-89
360-404
C+, C
70-79
315-359
D
60-69
270-314
F
0-59
0-269
After the second exam and before the late-drop deadline the guaranteed grade-line cutoffs for the major grades (A, B,
C, D, F) will be provided to facilitate planning for the rest of the semester. The +/- grade-lines will be assigned after
the final exam. The unavoidable consequence is that some students are just “a point” away from the higher grade. For
the reason of fairness, the policy in this course is to NOT adjust individual grades in such circumstances.
NOTE: Your grade will be based EXCLUSIVELY on the midterm examinations, homework and/or quizzes and final
examination. There is no "extra-credit" work.
DEFERRED GRADES: Students who are unable to complete the course because of illness or emergency may be
granted a deferred grade which will allow the student to complete the course within the first six weeks of the following
semester. Note that deferred grades are limited to those students who can verify and document a valid reason for not
being able to take the final examination. For more information see DF grade.
ACADEMIC INTEGRITY: Academic integrity is the pursuit of scholarly activity in an open, honest and responsible
manner. Academic integrity is a basic guiding principle for all academic activity at The Pennsylvania State University,
and all members of the University community are expected to act in accordance with this principle. Consistent with
this expectation, the University's Code of Conduct states that all students should act with personal integrity, respect
other students' dignity, rights and property, and help create and maintain an environment in which all can succeed
through the fruits of their efforts.
Academic integrity includes a commitment not to engage in or tolerate acts of falsification, misrepresentation or
deception. Such acts of dishonesty violate the fundamental ethical principles of the University community and
compromise the worth of work completed by others.
Academic dishonesty includes, but is no limited to, cheating, plagiarizing, […], facilitating acts of
academic dishonesty by others, having unauthorized possession of examinations, submitting work of
another person or work previously used without informing the instructor, or tampering with
academic work of other students. […] A student charged with academic dishonesty will be given
oral or written notice of the charge by the instructor. If students believe that they have been falsely
accused, they should seek redress through informal discussions with the instructor, the department
head, dean or campus executive officer. If the instructor believes that the infraction is sufficiently
serious to warrant the referral of the case to Judicial Affairs, or if the instructor will award a final
grade of F in the course because of the infraction, the student and instructor will be afforded formal
due process procedures.
From Policies and Rules, Student Guide to the University Policy 49-20.
Based on the University's Faculty Senate Policy 49-20, a range of academic sanctions may be taken against a student
who engages in academic dishonesty. Please see the Eberly College of Science Academic Integrity homepage for
additional information and procedures.
QUESTIONS, PROBLEMS, OR COMMENTS: If you have questions or concerns about the course, please consult
your instructor first. If further guidance is needed, you may contact the course coordinator whose contact information
is given below.
Course Coordinator
Ms Mary Erickson
104 McAllister Building
University Park, PA 16802
Telephone: 814-865-7528
E-mail: erickson@math.psu.edu
Include your Name, Student ID, Course, and Section Number in any correspondence
SUGGESTED LECTURE-BY-LECTURE BREAKDOWN
WEEK
1
2
3
4
5
6
7
8
9
10
DAY
Monday
DATE
Aug 24
SECTION(S)
Introduction/1.1
TOPIC
Basic Equations
Tuesday
Wednesday
Thursday
Friday
Aug 25
Aug 26
Aug 27
Aug 28
1.2
Modeling
1.2
Modeling with Equations
Monday
Tuesday
Wednesday
Aug 31
Sept 1
Sept 2
1.3, 1.4
Quadratic Eqn, Complex Numbers
1.5
Other Types of Equations
Thursday
Friday
Sept 3
Sept 4
1.6
Inequalities
Monday
Tuesday
Wednesday
Thursday
Friday
Sept 7
Sept 8
Sept 9
Sept 10
Sept 11
No Class
Monday
Tuesday
Wednesday
Thursday
Friday
Sept 14
Sept 15
Sept 16
Sept 17
Sept 18
Monday
Tuesday
Wednesday
Thursday
Friday
COMMENTS
CLASS BEGINS
Readiness Quiz Online
DROP/ADD ENDS
Readiness Quiz Deadline
LABOR DAY
1.7
Abs. Value Eqn and Inequalities
2.1, 2.2
Coordinate Plane, Graphs of Eqn in 2-var
2.4
Lines
3.1, 3.2
What is a Function; Graphs of Functions
3.3
Inc/Dec Functions; Ave Rate of Change
Sept 21
Sept 22
Sept 23
Sept 24
Sept 25
3.4
Transformations of Functions
3.5
Quadratic Functions; Max and Min
3.6
Combining Functions
Monday
Tuesday
Wednesday
Thursday
Friday
Sept 28
Sept 29
Sept 30
Oct 1
Oct 2
3.7
1-1 Functions and Their Inverses
Focus on Modeling
Pgs 288-301
Focus on Modeling
Pgs 288-301
Monday
Tuesday
Wednesday
Thursday
Friday
Oct 5
Oct 6
Oct 7
Oct 8
Oct 9
Reveiw
Review
4.1
Polynomial Functions & Graphs
4.2
Dividing Polynomials
Monday
Tuesday
Wednesday
Thursday
Friday
Oct 12
Oct 13
Oct 14
Oct 15
Oct 16
4.5
Rational Functions
4.5
Rational Functions
5.1
Exponential Functions
Monday
Tuesday
Wednesday
Thursday
Friday
Oct 19
Oct 20
Oct 21
Oct 22
Oct 23
5.2
Logarithmic Functions
5.3
Laws of Logarithms
5.4
Exponential and Logarithmic Equations
Monday
Tuesday
Wednesday
Thursday
Friday
Oct 26
Oct 27
Oct 28
Oct 29
Oct 30
6.1
Angle Measure
6.2
Trigonometry of Right Triangles
6.3
Trigonometric Functions of Angles
EXAM 1
11
Monday
Tuesday
Wednesday
Thursday
Friday
Nov 2
Nov 3
Nov 4
Nov 5
Nov 6
Review
Review
6.4, 6.5
Law of Sines; Law of Cosines
7.1
The Unit Circle
Monday
Tuesday
Wednesday
Thursday
Friday
Nov 9
Nov 10
Nov 11
Nov 12
Nov 13
7.2
Trigonometric Functions of Real Numbers
7.3
Trigonometric Graphs
7.4
More Trigonometric Graphs
Monday
Tuesday
Wednesday
Thursday
Friday
Nov 16
Nov 17
Nov 18
Nov 19
Nov 20
8.1
Trigonometric Identities
8.2
Addition and Subtraction Formulas
8.3
More Formulas
14
Monday
Tuesday
Wednesday
Thursday
Friday
Nov 23
Nov 24
Nov 25
Nov 26
Nov 27
15
Monday
Tuesday
Wednesday
Thursday
Friday
Nov 30
Dec 1
Dec 2
Dec 3
Dec 4
8.4
Inverse Trigonometric Functions
8.5
Trig Equations
8.5
Trig Equations
Monday
Tuesday
Wednesday
Thursday
Friday
Dec 7
Dec 8
Dec 9
Dec 10
Dec 11
Review, Ch. 6-8
Trigonometry
Review, Ch. 4&5
Polynomial, Rational, Exp, Log Functions
Review, Ch. 1-3
Equations, Graphs, Functions
12
13
16
EXAM 2
LATE DROP DEADLINE
THANKSGIVING BREAK
THANKSGIVING BREAK
THANKSGIVING BREAK
THANKSGIVING BREAK
THANKSGIVING BREAK
CLASS ENDS