Download MTH: 170 TRIGONOMETRY

MTH: 170 TRIGONOMETRY
TRIGONOMETRY-FIFTH EDITION
By Michael Sullivan
ASSIGNMENTS
For all sections, students are encouraged to try the problems noted below as
well as the recommended problems accompanying the examples within the
lessons. In addition, review exercises are included at the end of each
chapter. Students should be aware that they are designed to help them
prepare for the next sections and for the final exam.
Note: The assigned problems are recommended for complete
understanding of the sections. However, your instructor may change
the recommended problem list.
CHAPTER 2 – TRIGONOMETRIC FUNCTIONS
Section
pp.
Exercise
2.1
112-114
1-93 odd
2.2
126-129
1-103 odd
2.3
138-141
1-121 odd
2.4
149-151
1-85 odd
2.5
161-164
1-73 odd
2.6
176-182
1-89 odd
Chapter Review
182-188
1-81 odd
Test 1
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Text: Trigonometry-5th edition by Michael Sullivan
Trigonometry MTH 170
CHAPTER 3: ANALYTIC TRIGONOMETRY
Section
pp.
Exercise
3.1
195-197
1-81 odd
3.2
204-206
1-63 odd
3.3
214-216
1-63 odd
3.4
219-220
1-43 odd
3.5
234-236
1-115 odd
3.6
244-248
1-87 odd
Chapter Review
248-251
1-101 odd
Test 2
CHAPTER 4: APPLICATIONS OF TRIGONOMETRIC
FUNCTIONS
Section
pp.
4.1
261-265
Odds
4.2
272-276
Odds
4.3
280-283
Odds
4.4
286-288
Odds
4.5
295-296
Odds
296-300
Odds
Chapter Review
Exercises
Test 3
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Text: Trigonometry-5th edition by Michael Sullivan
Trigonometry MTH 170
CHAPTER 5: POLAR COORDINATES; VECTORS
Section
pp.
Exercises
5.1
310
Odds
5.2
327-328
Odds
5.3
335
Odds
5.4
344-345
Odds
5.5
355-356
Odds
5.6
364-365
Odds
Chapter Review
376-379
Odds
Test 4
Final Exam
OBJECTIVES
CHAPTER 2: TRIGONOMETRIC FUNCTIONS
Section 2.1 Angles and Their Measure
A. Convert between degrees, minutes, seconds, and decimal forms
for angles.
B. Find the arc length of a circle.
C. Convert the measure of an angle from degree to radians, or from
radians to degrees.
D. Find the linear speed of an object traveling in circular motion.
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Text: Trigonometry-5th edition by Michael Sullivan
Trigonometry MTH 170
Section 2.2 Trigonometric Functions: The Unit Circle
A. Find the exact value of the trigonometric functions using a point
on the unit circle.
B. Find the exact value of the trigonometric functions of quadrantal
angles.
C. Find the exact value of the trigonometric functions of 45 .
D. Find the exact value of the trigonometric functions of 30 .
E. Find the exact value of the trigonometric functions of 60 .
F. Evaluate trigonometric functions with a calculator.
Section 2.3 Properties of the Trigonometric Functions
A.
B.
C.
D.
Determine the domain and range of the trigonometric functions.
Determine the period of the trigonometric functions.
Determine the sign of the trigonometric functions.
Find the value of the trigonometric functions utilizing fundamental
identities.
E. Use even-odd properties to find the exact value of the
trigonometric functions.
Section 2.4 Right Triangle Trigonometry
A. Find the value of trigonometric functions of acute angles.
B. Use the complementary angle theorem.
C. Find the reference angle.
Section 2.5 Graphs of the Trigonometric Functions
A.
B.
C.
D.
Graph the transformations of the sine function.
Graph the transformations of the cosine function.
Graph the transformations of the tangent function.
Graph the transformations of the cosecant, secant, and cotangent
functions.
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Text: Trigonometry-5th edition by Michael Sullivan
Trigonometry MTH 170
Section 2.6 Sinusoidal Graphs; Sinusoidal Curve Fitting
A.
B.
C.
D.
E.
Determine the amplitude and period of sinusoidal functions.
Find an equation for a sinusoidal graph.
Determine the phase shift of a sinusoidal function.
Graph sinusoidal functions.
Find a sinusoidal function from data.
CHAPTER 3: ANALYTIC TRIGONOMETRY
Section 3.1 Trigonometric Identities
A. Establish identities.
Section 3.2 Sum and Difference Formulas
A. Use sum and difference formulas to find exact values.
B. Use sum and difference formulas to establish identities.
Section 3.3 Double-Angle and Half-Angle Formulas
A. Use double-angle formulas to find exact values.
B. Use double-angle formulas and half-angle formulas to establish
identities.
C. Use half-angle formulas to find exact values.
Section 3.4 Product-to-Sum and Sum-to-Product Formulas
A. Express products as sums.
B. Express sums as products.
Section 3.5 The Inverse Trigonometric Functions
A. Find the exact value of an inverse trigonometric function.
B. Find the approximate value of an inverse trigonometric function.
Section 3.6 Trigonometric Equations
A. Solve trigonometric equations.
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Text: Trigonometry-5th edition by Michael Sullivan
Trigonometry MTH 170
CHAPTER 4: APPLICATIONS OF TRIGONOMETRIC
FUNCTIONS
Section 4.1 Solving Right Triangles
A. Solve right triangles.
B. Solve application problems involving right triangles.
Section 4.2 The Law of Sines
A. Solve an oblique triangle using the Law of Sines (given SAA,
ASA or SSA ).
B. Solve a textbook application problem using Law of Sines.
Section 4.3 The Law of Cosines
A.
B.
Solve an oblique triangle using the Law of Cosines (given SSS
or SAS).
Solve a textbook application problem using Law of Cosines.
Section 4.4 The Area of a Triangle
A.
B.
Find the area of SAS triangles.
Find the area of SSS trianges.
Section 4.5 Simple Harmonic Motion; Damped Motion
A.
B.
Analyze simple harmonic motion.
Analyze damped motion.
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Text: Trigonometry-5th edition by Michael Sullivan
Trigonometry MTH 170
CHAPTER 5: POLAR COORDINATES and VECTORS
Section 5.1 Polar Coordinates
A.
B.
Convert from rectangular coordinates to polar coordinates and
vice versa.
Convert from polar equations to rectangular equations and vice
versa.
Section 5.2 Graphs of Polar Equations
A. Draw the graphs of polar equations.
B. Identify polar equations by converting to rectangular equations.
C. Text polar equations for symmetry.
Section 5.3 Complex Numbers
A.
B.
C.
D.
Be able to add, subtract, multiply and divide complex numbers.
Solve quadratic equations with real coefficients.
Convert radicals with negative radicands to a + bi form
Simplify in where n is any positive integer.
Section 5.4 The Complex Plane and DeMoivre’s Theorem
A.
B.
C.
D.
Draw the geometric representation of a complex number.
Compute the magnitude of a complex number.
Express a complex number in polar form and vice versa.
Find the product or quotient of two complex numbers in polar
form.
E. Find the nth power of a complex number where n is a positive
integer, by using DeMoivre's Theorem.
F. Find the nth roots of a complex number where n ≥ 2, by using
DeMoivre's Theorem.
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Text: Trigonometry-5th edition by Michael Sullivan
Trigonometry MTH 170
Section 5.5 Vectors
A.
B.
C.
D.
E.
Graph a vector.
Find the sum or difference of two vectors.
Find a scalar product and the magnitude of a vector.
Find a position vector.
Find a unit vector.
Section 5.6 Vectors and Dot Products
A.
B.
C.
D.
E.
F.
Find the dot product of two vectors.
Find the angle between two vectors.
Determine whether two vectors are orthogonal.
Determine whether two vectors are parallel.
Decompose a vector into two orthogonal vectors.
Compute work done by a constant force.
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Text: Trigonometry-5th edition by Michael Sullivan
Trigonometry MTH 170
HOW TO BE A SUCCESSFUL MATH STUDENT
In the Classroom:
 Be sure to attend all of each class meeting
 Ask questions in class when you don’t understand what is going on.
Your Math Book:
 Read your textbook slowly and carefully, including the chapters at the beginning
of the book. Every step is important.
 Try to understand each line. Even major ideas are not always repeated.
 Pay special attention to material that is highlighted or boxed in.
 Try examples first. Cover them up and uncover one line at a time to compare
your work
 Keep your lower level math books as references, and consult them if you need to
review a topic.
Working outside of the Classroom:
 Ask about the reasonable amount of time to spend on exercises and studying for
tests. It may be more than you expect.
 Do all the assigned homework problems.
 Do the exercises that look easy to you first.
 Break up math study time into small enough units to keep your energy level high
– usually 20 – 30 minutes at a time.
 Math skills improve through practice.
 Details are important in mathematics, so be sure to work problems carefully and
neatly.
 Try different ways of solving a problem. Many times there is more than one way
to solve a problem. If you’re stuck, be adventurous; experiment with possibilities.
 In word problems, write down knowns and unknowns. Use symbols and make
sketches to organize the information.
 The process of leaning mathematics is cumulative. Plan to review previously
covered material regularly.
When you need help:
 See your instructor in his/her office.
 Visit the drop-in math tutoring centers on the Meramec campus (SW 211 and
CN102), at South County Education Center, and West County Education Center.
 Check to see if there is a Student Supplement to your textbook on reserve in the
library.
 Check out video tapes in the library or in the tutoring centers. These tapes cover
all Algebra topics, and there are often tapes to accompany your textbook.
 Beware of what you say to yourself inside your head. “I can’t do this” really
means, “I can’t do this yet.”
 Math is like a ladder. If steps are missing, you will have trouble getting to the
top. Reviews previous material to strengthen the ladder.
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Text: Trigonometry-5th edition by Michael Sullivan
Trigonometry MTH 170
MATHEMATICS DEPARTMENT POLICIES
Disruptive Behavior:
Behavior that is disruptive to the instructor or students is contrary to quality
education. Should the instructor determine that an individual students verbal or
nonverbal behavior is hampering another students ability to understand or
concentrate on the class material, the instructor will speak with that student in an
effort to rectify the problem behavior. If the behavior continues after this
discussion, the instructor will have the disruptive student leave the class.
Permission to return to class may be dependent upon assurances that the student
has met with some responsible individual about the problem: the mathematics
department chairman, a counselor, the Dean of Student Support Services, etc.
Cheating and/or Plagiarism:
An instructor who has evidence that a student may have cheated or plagiarized an
assignment or test should confer with the student. Students may then be asked
to present evidence (sources, first draft, notes, etc.) that the work is his own. If
the instructor determines that cheating or plagiarism has occurred, he may assign
a failing grade to the test, the assignment, or the course, as he sees fit.
Access Office
The colleges Access office guides, counsels, and assists students with
disabilities. If you receive services through the Access office and need special
arrangements (seating closer to the front of the class, a notetaker, extended time
for testing, or other approved accommodation), please make an appointment with
your instructor during the first week of classes to discuss these needs. Any
information you share will be held in strict confidence, unless you give the
instructor permission to do otherwise.
Attendance and Grading
Attendance is expected at all class meetings. Each individual instructor
determines the grading system for his/her class. Grading scales, methods of
grading, make-up policy, and penalties resulting from excessive absences will be
discussed early in the semester.
Final Exams (Departmental)
In the Fall and Spring semesters, a portion of the final examinations given in
MTH:001, MTH:007, MTH:140 and MTH:160 may be designed by the Mathematics
Department.
Course Repeater Policy
Students must file a petition seeking departmental approval before enrolling in the
same Meramec mathematics course for the third time. The petition process will
involve writing a formal petition and meeting with a math faculty advisor to design
a course of action that will improve chances for success.
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