COURSE PROFILE: GENERAL EDUCATION COURSES
1.
Course Title: Trigonometry
Short Title: Trigonometry
2.
Course Number: MTH: 170
3.
Course Level: 100-199 Beginning level credit courses
4.
Course Description:
This course uses an analytic approach to the definitions and graphs of the functions of an angle. It includes
formulas and identities, trigonometric functions, inverse functions, and radian measure. Note: Credit will
not be granted for both MTH: 170 and MTH: 185.
5.
Credit Hours: 3.00
6.
Weekly contact hours:
7.
a.
Lecture Hours: 3.00
b.
Lab Hours: 0.00
c.
Studio Hours: 0.00
d.
Activity Hours: 0.00
e.
Clinical Hours: 0.00
f.
Workplace Learning Hours: 0.00
g.
Other Hours: 0.00
Requisites:
Prerequisite: MTH 160 with a “C” or better or
Prerequisite: Satisfactory score on placement test and
Prerequisite: Reading Proficiency
8.
Course profile acceptance in the general education category:
o
9.
Mathematics
Explain why this course should be considered as a general education course. (See general education
requirements).
Students use higher order thinking, organize information, and present information using
quantitative and visual tools when solving trigonometric application problems. Also, students
consider multiple perspectives by looking at functions graphically and algebraically.
10. Upon successful completion of the course, the student will know or understand:
0.
angles, including right, acute, obtuse, coterminal, reference, complementary, and supplementary.
1.
functions, including sine, cosine, tangent, cotangent, secant, cosecant.
2.
fundamental identities.
3.
values of trigonometric functions of special angles.
4.
graphs of the sine, cosine, tangent, cotangent, secant, cosecant functions.
5.
degree measure.
6.
trigonometric identities.
7.
trigonometric equations.
8.
inverse trigonometric functions.
9.
graphs of inverse trigonometric functions.
10. radian measure.
11. right triangle.
12. Law of Cosines and Law of Sines.
13. applications of right triangles and non-right triangles.
14. harmonic motion.
15. arc length and area of a sector.
16. angular and linear velocity.
17. complex numbers.
18. DeMoivre’s Theorem and the nth roots of complex numbers.
19. vectors.
20. polar coordinates.
21. parametric equations.
22. connections between mathematical methods.
23. generalizations and pattern recognition.
24. models of real world situations.
25. appropriate use of technology.
11. Upon successful completion of the course, the student will demonstrate the ability to:
0.
identify types of angles.
1.
convert degree measurements into radian measurements and radian measurements into degree
measurements.
2.
use the six trigonometric functions, their inverses, and the fundamental identities to find missing
information.
3.
graph the six trigonometric functions, their various transformations, and their inverses.
4.
evaluate the six trigonometric functions for the special angles.
5.
verify trigonometric identities.
6.
solve trigonometric equations.
7.
solve right triangles and oblique triangles.
8.
solve applications involving triangles and harmonic motion.
9.
compute arc length, area of a sector, and angular and linear velocity.
10. convert complex numbers from rectangular form to polar form and vice versa.
11. perform operations on complex numbers in polar form.
12. apply DeMoivre's Theorem to raise a complex number to a power and to find the root of a
complex number.
13. graph equations in polar form as well as parametric equations.
14. convert vectors from horizontal and vertical component form to magnitude and direction form and
vice versa.
15. communicate mathematical ideas to others.
12. Expected knowledge/skills goal reinforcement objectives
Mathematics
A
B
C
D
E
F
9
4, 14
9
7, 8
13
7
Test, Quiz, Oral
presentation, Written
T
Test, Quiz, Oral
assignment, Individual
Test, Quiz, Oral
pre
presentation, Written
Test, Quiz, Oral
Test, Quiz, Oral
Test, Quiz, Oral
project, Group project, presentation, Written
assig
assignment, Individual presentation, Written presentation, Written presentation, Written
Artistic rendering,
assignment, Individual
proj
project, Group project, assignment, Individual assignment, Individual assignment, Individual
Theatrical performance, project, Group project,
A
Visual/poster
project, Group project, project, Group project, project, Group project,
Musical performance,
Artistic rendering,
presentation,
Visual/poster
Visual/poster
Visual/poster
Visual/poster
Visual/poster
Assessment
Multimedia
presentation,
presentation,
presentation,
presentation,
presentation,
presentation/production,
Multimedia
Multimedia
Multimedia
Multimedia
Multimedia
prese
Group presentation, presentation/production, presentation/production, presentation/production,
presentation/production, presentation/production,
Gr
Portfolio, Laboratory
Group presentation,
Group presentation,
Group presentation,
Group presentation,
Group presentation,
Por
experiment/report,
Portfolio, Problem sets, Portfolio, Problem sets, Portfolio, Problem sets,
Portfolio, Laboratory Portfolio, Problem sets,
ex
Problem sets,
Culminating project
Culminating project
Culminating project
experiment/report,
Culminating project
Culminating project
Problem sets,
Cu
Culminating project
Social and Behavioral Sciences
Competency
A
B
C
D
E
F
SLO
Assessment
Life and Physical Sciences
Competency
A
B
C
D
E
F
SLO
Assessment
Humanities and Fine Arts
Competency
A
B
C
D
E
F
SLO
Assessment
Interdisciplinary Studies
Competency
A
B
C
D
E
F
SLO
Assessment
Global/Intercultural
Competency
A
B
C
D
SLO
Assessment
Valuing
Competency
A
B
C
D
E
F
SLO
7
Test, Quiz, Oral
presentation, Written
assignment, Individual
project, Group project,
Assessment
Artistic rendering,
Visual/poster
presentation,
Multimedia
Competency
SLO
Mathematics
presentation/production,
Group presentation,
Portfolio, Problem sets,
Culminating project
Higher Order Thinking
Competency
SLO
A
B
C
9
Test, Quiz, Written
assignment, Individual
project, Group project,
Visual/poster
presentation,
Multimedia
presentation/production,
Group presentation,
Portfolio, Problem sets,
Culminating project
A
B
9
Test, Quiz, Written
assignment, Individual
project, Group project,
Visual/poster
presentation,
Multimedia
presentation/production,
Group presentation,
Portfolio, Problem sets,
Culminating project
C
B
C
9
Test, Quiz, Written
assignment, Individual
project, Group project,
Visual/poster
presentation,
Multimedia
presentation/production,
Group presentation,
Portfolio, Problem sets,
Culminating project
Assessment
Competency
SLO
Assessment
Competency
SLO
A
Assessment
Communicating
D
4
E
F
O
Wr
Gro
pres
se
Test, Quiz, Written
assignment, Individual
project, Group project,
Portfolio, Culminating
project
Managing Information
D
E
13. Minimum Requirements:
.
written tests to be administered in class, including a comprehensive final exam.
a.
homework assignments concentrating on the use of vocabulary and the methods discussed in class.
F