DIVISION OF MATHEMATICS &
SCIENCES
COURSE NO. AND TITLE: MATH
1305 - Trigonometry
Description: This course develops skills in trigonometric
functions, solutions of triangles, trigonometric identities, trigonometric
function graphs, and trigonometric forms of complex numbers and vectors.
Text: Trigonometry; Sullivan 8th
edition ISBN 0132392798
Supplies: textbook, scientific or graphing
calculator, pencil, paper
Prerequisites: MATH 1304 or equivalent
Placement:
This class is to prep students for Calculus 1.
Class
Policies:
Attendance: 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.
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.
Student Expectations: Students are expected to attend
class and participate in the learning. Please ask questions during the
lectures. Asking questions on the day of the exam is too late.
Homework: Students are expected to do all
assigned homework. Email me any questions.
Exams: During the semester there will be 3 exams and 1 final
exam. The content covered on each exam will only be material taught in class.
No surprises. Students will get 1 week notice prior to each exam. If you miss
an exam without notifying me you will be assigned a zero. Students who are TDY
can take the exam at a later date. If you are going on TDY you must let me know
when you leave and when you are returning via email. Makeup exams are given
only to students that make below 60%. A maximum grade of 70% is possible on the
make-up test. All retesting is done at the WBU campus. The student must call
and make arrangements with the test proctor. All make-ups are due BEFORE the next class meeting.
Misc Comments:
1. Turn off all cell
phones. Do not leave class to answer your phone.
2. I have a list of
qualified tutors on my web page to help you.
3. Email me any
assigned problems you need help with.
4. Please don’t call
me to help you over the phone. Email me the problem.
Grading: All students are on a points earned against total possible course points.
100 pts First
Exam
100 pts Second Exam
100 pts Third Exam
100 pts Homework
150 pts Final
550 total pts
A: 90% –
100% B: 80% – 89% C: 70%
– 79% D: 60% – 69% F: Below 60%
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, Tangent
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
It is the
university policy that no otherwise qualified disabled person be excluded from
participation in, be denied the benefits of, or be subject to discrimination
under any educational program or activity in the University. Students should inform the instructor of
existing disabilities at the first class meeting.
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.