Standard |
MCH 105 - Machine Tool Math II
Continues the development of mathematics competencies as applied to machine tool technology. Emphasis is placed on the uses of geometric and trigonometric principles in machining. Topics include: advanced applied geometry and applied trigonometry.
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Competency Areas |
Hours
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Advanced Applied Geometry |
Class |
5 |
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Applied Trigonometry |
D. Lab |
0 |
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P. Lab/O.B.I. |
0 |
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Credit |
5 |
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Prerequisite: |
MCH 104 |
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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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ADVANCED APPLIED GEOMETRY |
20 |
0 |
0 |
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Angles |
Describe how points can be located using arcs and angles. |
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Triangles |
Relate the use of Pythagorean relations to machine tool operations, especially in layout and location of points. |
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Circles |
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Use other geometric figures inscribed in the circle to locate multiple equal-spaced points on the circumference of a circle. |
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Geometric construction |
List uses of geometric principles in machining. |
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Use geometric construction to find center points, divide angles, construct right angles for layout, and to find the center of a circle or arc. |
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Applications |
Lay out workpieces using geometric applications. |
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APPLIED TRIGONOMETRY
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30 |
0 |
0 |
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Right angle trigonometry |
Explain how, knowing any three parts of a triangle, at least one of which is a side, a triangle can be constructed. |
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Functions |
Define the six trigonometric functions. |
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Explain the use of trigonometric tables. |
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List uses of trigonometric principles in machining. |
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Cartesian coordinate system |
Explain the Cartesian system, how it applies to machine operations, and how to determine the "Z" axis on a machine. |
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Applied computations and calculations |
Calculate the angle to a given function. |
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Find the function to a given angle. |
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Compute the third angle when one angle and one side of a right triangle is given. |
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Determine a point when an arc and an angle is given from a reference point. |
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Applications |
Lay out work pieces using geometric and trigonometric principles. |
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Suggested Resources |
Althouse, A. D., &
Turnquist, C. H. (1988). Modern welding
(rev ed.). South Holland, IL: Goodheart-Willcox.
American Welding
Society. (1987). Welding handbook--volume
I: Welding technology (8th ed.). Miami: Author.
Brown, W. C., et al.
(1985). Modern general shop. South
Holland, IL: Goodheart-Willcox.
Feirer, J. L. (1980). General metals (5th ed.). New York: McGraw-Hill.
Kibbe, R. A., et al.
(1991). Machine tool practices (4th
ed.). New York: John Wiley & Sons.
Matt, S. R. (1985). Machine tool operations: An introduction. Belmont, CA: Wadsworth.
Olivo, C. T. (1987). Fundamentals of machine technology. Belmont, CA: Wadsworth.
Stern, B. J. (1986).
Opportunities in machines shop trades.
Lincolnwood, IL: Natl TextBk.