WAYLAND BAPTIST UNIVERSITY
FAIRBANKS CAMPUS
SCHOOL OF MATHEMATICS & SCIENCES
Wayland Mission Statement: Wayland Baptist University exists to educate students in an
academically challenging, learning-focused and distinctively Christian environment for
professional success and service to God and humankind.
Course Title and Number: MATH 1305; Trigonometry
Term: Fall 2014 August 18, 2014 – November 1, 2014
Name of Instructor: Dr. K. E. Dempster, ESQ, BA, MED, EDS, JD
Office Phone Number and WBU Email Address: 907-978-7745;
dempsterk@wbu.edu
Office Hours, Building, and Location: Monday or Thursday @ Eielson, 1:00- 5:30 PM,
Sunday 5:00 PM Bldg. 2623, Eielson AFB or at other times and places like North Pole or Ft.
Wainwright.
Class Meeting Time and Location: Mondays, Bldg. 2631, Rm. 316, 6:00 PM
Catalog Description: Trigonometric functions, solutions of triangles, trigonometric
identities, trigonometric function graphs, and trigonometric forms of complex numbers and
vectors.
Prerequisite: MATH 1304 (College Algebra) or equivalent
Placement: This class is intended for students who plan to major or minor in
mathematics or science who have not had Trigonometry or Pre-Calculus in
high school.
Required Textbook: Trigonometry A Unit Circle Approach, 9th edition;
Michael Sullivan
ISBN:978-0-321-71657-6
Supplies: Graphing Calculator, TI-84 or TI-83 or program on your cell phone, Ipad or other gadget.
Course Outline/Outcome Competencies: You should be familiar with the following topics
and be able to use them to set up and solve mathematical models of real-world problems.
Angles
Degrees, Minutes, Seconds, Radians
Arc Length, Sector Area
Trigonometric Functions
Unit Circle
Sine, Cosine, Tangent, Cosecant, Secant, Cotangent
Exact Values, Special Angles
Domains, Ranges, Periods, Even, Odd
Identities
Sinusoidal Graphs, Amplitude, Period, Phase Shift
Inverse Trigonometric Functions
Definition, Domains, Ranges
Cancellation with Trigonometric Functions
Exact Values
Trigonometric Identities
Establishing Identities
Sum and Difference Formulas
Double-Angle and Half-Angle Formulas
Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations
General Solutions
Solutions on a Given Interval
Right Triangles
Hypotenuse, Pythagorean Theorem
Complementary Angles
SOHCAHTOA
Law of Sines, ASA, SAA, SSA
Law of Cosines, SAS, SSS
Area of a General Triangle, Heron’s Formula
Harmonic Motion
Simple Harmonic Motion
Damped Harmonic Motion
Polar Coordinates
Converting Points to and from Rectangular Coordinates
Converting Equations to and from Rectangular Coordinates
Polar Graphs
Complex Numbers
Conjugate, Magnitude, Modulus, Argument
Rectangular and Polar Forms
Multiplication, Division, Powers, and Roots of Complex Numbers in Polar Form
Vectors
Magnitude, Direction
Addition, Subtraction, Geometry
Unit Vector, Polar Form
Dot Product, Angle between Vectors, Parallel, Orthogonal
Projection of One Vector onto Another
Work
Vectors in Space, Cross Product
Attendance Requirements: All students are expected to attend all class sessions and are
responsible for knowing the material covered. No quizzes or exams can be made up unless
arrangements prior to the absence have been made. Any student missing more than 25%
of the class will fail the class.
Disability Statement: In compliance with the Americans with Disabilities Act of 1990
(ADA), it is the policy of Wayland Baptist University that no otherwise qualified person with
a disability be excluded from participation in, be denied the benefits of, or be subject to
discrimination under any educational program or activity in the university. The Coordinator
of Counseling Services serves as the coordinator of students with a disability and should be
contacted concerning accommodation requests at (806) 291-3765. Documentation of a
disability must accompany any request for accommodations.
Course Requirements and Grading Criteria: suggested
Homework: : Homework will be assigned daily. You should plan on spending at least 2-3
hours on homework after each class period. Homework will be checked every week after it
is assigned. In order to be successful in this course, you MUST complete your homework
assignments. If you must miss class for a legitimate emergency or problem (ie. Illness,
death in the family, etc.), you need to make arrangements to turn in the assignment before
class or soon after your return.
Exams/tests: There will be 10 tests, one a week, as well as a comprehensive final exam.
You may take the exam early/late in the case of a legitimate emergency, illness, or
university-sponsored activity, if you make arrangements with me prior to the absence.
Final: The Final Exam will be comprehensive. All students will be required to take the Final
Exam. The Final Exam will be given to you one week before it is due. We will have
Pizza and questions on the last meeting.
Grading is accomplished by adding all the points your have earned divided by the total points
possible.
A: 90 – 100
B: 80 – 89
C: 70 – 79
D: 60 – 69
F: Below 60
Course Outline/Outcome Competencies:
Be able to discuss and solve problems in the following areas:
Applications of Trig. Fun. (Ch. 4)
Be able to solve triangles and work problems
involving harmonic motion and damped motion.
Trigonometric Functions (Ch. 2)
Be able to measure and work with angles in
degrees and radians, know the properties of
trigonometric functions, and be able to graph
trigonometric functions.
Analytic Trigonometry (Ch. 3)
Know and be able to use trigonometric identities
to solve problems and prove other identities,
understand and solve problems with inverse
trigonometric functions.
Polar Coordinates; Vectors (Ch. 5) Solve and graph in polar coordinates, work with
complex numbers and be able to graph in the
complex plane, understand vectors and their dot
products.
Note: This outline is subject to minor changes throughout the semester.
In compliance with the Americans with Disabilities Act of 1990 (ADA), it is the policy of
Wayland Baptist University that no otherwise qualified person with a disability be excluded
from participation in, be denied the benefits of, or be subject to discrimination under any
educational program or activity in the university. The Coordinator of Counseling Services
serves as the coordinator of students with a disability and should be contacted concerning
accommodation requests at (806) 291- 3765. Documentation of a disability must
accompany any request for accommodations
Academic Honesty: Disciplinary action for academic misconduct is the responsibility of the
faculty member assigned to this course. The faculty member is charged with assessing the
gravity of any case of academic dishonesty, and with giving sanctions to any student
involved.
Important Dates:
Last
Last
Last
Last
day to drop without record: Sept 3, 2014
day to withdraw with “W”: Oct 10, 2014
day to withdraw with a “WP/WF”: Oct 17, 2014
Class October 30, 2014
This syllabus is only a plan. The teacher may modify the plan during the course. The
requirements and grading criteria may be changed during the course if necessary.
rev. 06/06/14