Standard |
Emphasizes trigonometric concepts. Introduces logarithms and exponential functions. Topics include: geometric formulas, trigonometric concepts, and logarithms and exponentials.
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Competency Areas |
Hours
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Geometric Formulas |
Class |
5 |
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Trigonometric Concepts |
D. Lab |
0 |
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Logarithms and Exponentials |
P. Lab/O.B.I. |
0 |
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Credit |
5 |
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Prerequisite: |
MAT 103 with a grade of C or better |
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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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GEOMETRIC FORMULAS |
5 |
0 |
0 |
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Two-dimensional geometry |
Find the area and perimeter (circumference) of rectangles, squares, triangles, circles, and any regular polygon. |
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Three-dimensional geometry |
Find volume and surface area of rectangular solids, right circular cylinders, cones, and spheres. |
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30 |
0 |
0 |
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Right triangle trigonometry |
Define the trigonometric functions of the angles in a right triangle in terms of the sides. |
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Evaluate trigonometric functions using calculators or tables. |
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Solve for unknown sides of a right triangle using the trigonometric functions. |
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Solve for unknown angles in a right triangle using inverse trigonometric functions. |
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Solve applied right triangle problems using trigonometric functions. |
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Unit circle trigonometry |
Define the trigonometric functions in terms of coordinates of points on the unit circle. |
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Define angle measure in terms of degrees and radians. |
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Convert from one type of angular measurement to the other. |
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Compute arc lengths using radian measure. |
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Trigonometric functions |
Define the periodic condition of trigonometric functions. |
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Determine amplitude, period, frequency, and phase angle |
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Graph the trigonometric functions. |
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Graph functions of the form: a sin (bx + c) and a cos (bx + c). |
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Oblique triangles |
Solve for the sides or angles of oblique triangles using the laws of sines and cosines. |
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Vectors |
Define vector notation and represent vectors graphically. |
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Add and subtract vectors. |
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Solve applied problems involving vectors. |
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Complex numbers |
Define complex numbers. |
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Write complex numbers in trigonometric form. |
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Multiply and divide complex numbers in trigonometric form. |
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LOGARITHMS AND EXPONENTIALS
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15 |
0 |
0 |
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Logarithms |
Define logarithmic notation and evaluate logarithmic expressions. |
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Equations |
Solve logarithmic and exponential equations. |
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Functions |
Evaluate and graph logarithmic and exponential functions. |
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Suggested Resources |
Suggested
Resources include textbooks shown below or most current edition.
Calter, P. (1990). Technical mathematics (2nd ed.). Englewood Cliffs, NJ: Prentice
Hall.
Cleaves, C., et al. (1988). Introduction to technical mathematics.
Englewood Cliffs, NJ:
Prentice Hall.
Person, R. V., & Person, V. J. (1989). Essentials of mathematics (5th ed.).
New York:
John Wiley & Sons.
Smith, R. D. (1983). Vocational-technical mathematics. Albany, NY: Delmar.
Washington, A. J. (1990). Basic technical mathematics (5th
ed.). Redwood City, CA:
Benjamin-Cummings.
Washington, A. J., & Triola, M. F. (1988). Introduction to technical mathematics (4th ed.). Redwood City, CA: Benjamin-Cummings.