Standard |
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 191 |
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Corequisite: |
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Course Guide |
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Competency |
After completing this
section, the student will: |
Hours |
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Class |
D.Lab |
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 |
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PROPERTIES OF TRIGONOMETRIC FUNCTIONS
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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 |
9 |
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 |
8 |
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 |
Suggested
Resources include textbooks shown below or most current edition.
Benice, D. D. (1989). Prealgebra and algebra (4th ed.). Englewood Cliffs, NJ: Prentice
Hall.
Christopher, J. (1991). Introductory technical mathematics (2nd ed.). Englewood Cliffs, NJ:
Prentice Hall.
Clar, L.
M., & Hart, J. A. (Latest edition). Mathematics
for the technologies. Englewood Cliffs, NJ: Prentice Hall.
Cooke, N. M., & Adams, H. F. (1986). Basic mathematics for electronics (6th
ed.). New York: McGraw-Hill.
Davis, L. (1990). Technical mathematics with calculus. Columbus, OH: Macmillan.
Fleming, W., & Varberg, D. (1988). Algebra and trigonometry (3rd ed.).
Englewood Cliffs, NJ: Prentice Hall.
Gilbert, J., et al. (1981). College algebra. Englewood Cliffs, NJ: Prentice Hall.
Paul, R.
S., & Shaevel, M. L. (1989). Essentials
of technical mathematics with calculus. (2nd ed.). Englewood Cliffs, NJ:
Prentice Hall.
Radford, L. (1986). Introduction to technical mathematics with calculus. Boston:
Brenton.
Singer, B.
B., & Forster, H. (1990). Basic
mathematics for electricity and electronics. (4th ed.). New York:
McGraw-Hill.
Smith, K. J. (1990). Precalculus mathematics: A functional approach (4th ed.). Pacific
Grove, CA: Brooks-Cole.
Swokowski, E. W. (1989). Fundamentals of algebra and trigonometry (7th ed.). Boston:
Prindle, Weber & Schmidt.
Washington, A. J. (1990). Basic
technical mathematics with calculus (5th ed.). Redwood City, CA:
Benjamin-Cummings.