Standard |
MAT 104 – Geometry and Trigonometry
Introduces and develops basic geometric and trigonometric concepts. Course content emphasizes: geometric concepts and trigonometric concepts.
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Competency Areas |
Hours
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Geometric Concepts |
Class |
5 |
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Trigonometric Concepts |
D. Lab |
0 |
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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 CONCEPTS |
20 |
0 |
0 |
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Measurement |
Convert units of measurement within and between the English and metric systems. |
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Angles |
Identify the terminology associated with points, lines, planes, and angles. |
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Convert from one type of angular measurement to the other. |
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Compute arc length. |
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Triangles |
Use the concepts of similarity and congruence to find measures of angles. |
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Determine missing sides or angles using similar triangles. |
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Two-dimensional geometry Three-dimensional geometry |
Use the Pythagorean Theorem to solve for missing side of a right triangle. |
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Find the area and perimeter (circumference) of rectangles, squares, triangles, trapezoids, circles, and all regular polygons. |
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Find the volume and surface area of rectangular solids, right circular cylinders, cones, and spheres. |
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TRIGONOMETRIC CONCEPTS |
30 |
0 |
0 |
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Right triangle trigonometry |
Define the trigonometric functions of 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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Oblique triangles |
Use the laws of sines and cosines to solve for sides or angles in oblique triangles. |
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Solve applied problems involving oblique triangles by using the laws of sines and cosines. |
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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.