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Standard |
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R State Standard £ Institutionally
Developed College: N/A |
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MAT 1112 – College Trigonometry |
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Course Description |
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Emphasizes techniques of problem solving
using trigonometric concepts. Topics include: trigonometric functions,
properties of trigonometric functions, vectors and triangles, inverse of
trigonometric functions/graphing, logarithmic and exponential functions, and
complex numbers. |
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Competency Areas |
Hours |
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Trigonometric Functions |
Class |
5 |
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Properties of Trigonometric Functions |
D. Lab |
0 |
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Vectors and Triangles |
P. Lab/O.B.I. |
0 |
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Inverse of Trigonometric Functions/Graphing |
Credit |
5 |
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Logarithmic and Exponential Functions |
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Complex Numbers |
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Prerequisite: |
MAT 1111 |
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Corequisite: |
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Course
Guide |
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Competency |
After completing
this section, the student will be able to: |
Hours |
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Class |
D.Lab
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P.Lab/ O.B.I. |
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TRIGONOMETRIC FUNCTIONS |
7 |
0 |
0 |
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Signs of the trigonometric function |
Define the six trigonometric functions. |
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Determine the trigonometric function of any angle. |
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Radians |
Perform
trigonometric computations with angles measured in radians. |
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PROPERTIES OF
TRIGONOMETRIC FUNCTIONS |
10 |
0 |
0 |
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Fundamental trigonometric identities |
Recognize and verify the trigonometric identities. |
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Trigonometric equations |
Prove the validity of trigonometric equations by means of the
trigonometric identities. |
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VECTORS AND TRIANGLES |
8 |
0 |
0 |
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Vectors |
Define vector quantities and give examples. |
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Oblique triangles |
Solve oblique triangles using the laws of sines and cosines. |
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INVERSE OF TRIGONOMETRIC FUNCTIONS/GRAPHING |
9 |
0 |
0 |
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Trigonometric graphs |
Represent trigonometric functions graphically. |
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Inverse trigonometric functions |
Solve for an unknown angle using inverse trigonometric functions. |
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LOGARITHMIC AND EXPONENTIAL FUNCTIONS |
9 |
0 |
0 |
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Properties of logarithms |
Review properties of logarithms. |
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Logarithmic and exponential functions |
Represent exponential and logarithmic functions graphically. |
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Solutions of exponential and logarithmic equations with applications. |
Solve applicable equations. |
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COMPLEX NUMBERS |
7 |
0 |
0 |
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Vectors |
Represent vectors as complex numbers. |
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Complex numbers |
Transform complex numbers from J-format to polar coordinates and
exponential format. |
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Perform mathematical operations using complex numbers. |
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Suggested
Resources |
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Media |
Author |
Title:
Subtitle |
Edition |
Place
of Publication |
Year |
Publisher/Publication |
pp. |
|
Text |
Benice, D. D. |
Prealgebra and Algebra |
4th Ed |
Englewood Cliffs, NJ |
(1989) |
Prentice Hall. |
|
|
Text |
Christopher, J. |
Introductory Technical Mathematics |
2nd Ed |
Englewood Cliffs, NJ |
(1991) |
Prentice Hall |
|
|
Text |
Clar, L. M., & Hart, J. A. |
Mathematics for the Technologies. |
Latest Ed |
Englewood Cliffs, NJ |
|
Prentice Hall. |
|
|
Text |
Cooke, N. M., & Adams, H. F. |
Basic Mathematics
for Electronics |
6th Ed |
New York |
(1986) |
McGraw-Hill |
|
|
Text |
Davis, L. |
Technical Mathematics with Calculus |
|
Columbus, OH |
(1990 |
Macmillan. |
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|
Text |
Fleming, W., & Varberg, D |
Algebra and Trigonometry |
3rd Ed |
Englewood Cliffs, NJ |
(1988) |
Prentice Hall |
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Text |
Gilbert, J., et al. |
College Algebra. |
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Englewood Cliffs, NJ |
(1981) |
Prentice Hall |
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Text |
Paul, R. S., & Shaevel, M. L. |
Essentials of Technical Mathematics with Calculus |
2nd Ed |
Englewood Cliffs, NJ |
(1989) |
Prentice Hall. |
|
|
Text |
Radford, L. |
Introduction to Technical Mathematics with calculus |
|
Boston |
(1986) |
Brenton |
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Text |
Singer, B. B., & Forster, H. |
Basic Mathematics for Electricity and Electronics |
4th Ed |
New York: |
(1990) |
McGraw-Hill. |
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|
Text |
Smith, K. J. |
Precalculus Mathematics: A Functional Approach |
4th Ed |
Pacific Grove, CA |
(1990) |
Brooks-Cole |
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Text |
Swokowski, E. W. |
Fundamen |