Standard |
MCA 226 – Machining Math III
Provides a continuation of advanced machining mathematics principles. Topics include: interpolation of compound angles, advanced algebraic equations, compound and complex geometric functions, and advanced trigonometry.
|
Competency Areas |
Hours
|
|
|
|
Interpolation of Compound Angles |
Class |
5 |
|
|
Advanced Algebraic Equations |
D. Lab |
0 |
|
|
Compound and Complex Geometric Functions |
P. Lab/O.B.I. |
0 |
|
|
Advanced Trigonometry |
Credit |
5 |
|
|
|
|
|
|
|
Prerequisite: |
MCH 105 or MAT 104 |
||
|
Corequisite: |
|
||
Course Guide |
|
Competency |
After completing this
section, the student will: |
Hours |
||
|
Class |
D.Lab |
P.Lab/
O.B.I. |
||
|
INTERPOLATION OF COMPOUND
ANGLES |
10 |
0 |
0 |
|
|
Terminology |
Define the following terms: angle, adjacent angles, compound angles, dihedral angles, initial side, terminal side, quadrant, perpendicular, and vertices. |
|
|
|
|
|
Discuss the problems of milling a compound angled part out of a cube of material. |
|
|
|
|
|
|
|
|
|
|
Computations |
Make computations using compound angles. |
|
|
|
|
ADVANCED ALGEBRAIC EQUATIONS |
10 |
0 |
0 |
|
|
Terminology and examples |
Explain the formulas used to solve for the possible unknowns in compound angles and compound geometry. |
|
|
|
|
|
Discuss how the algebraic formulas are used by machinists. |
|
|
|
|
|
Provide examples and practice problems for advanced calculations used by machinists. |
|
|
|
|
Machinists handbook |
Demonstrate the use of the American machinist handbook or The American machineries handbook to find formulas to solve specific problems in die forming and die manufacturing. |
|
|
|
COMPOUND AND COMPLEX GEOMETRIC FUNCTIONS
|
10 |
0 |
0 |
|
|
Geometric concepts |
Explain the following solid geometric terms: co-ordinates of a point, co-ordinates of a plane, co-ordinates of an axis, origin, rectangular axes, oblique axes, projection of points, lines and parallel lines, directional cosines of a line, solids and surfaces, circular cylinder, circular cone, cube, sphere, spheroid, ellipsoid, hyperboloid, and hyper paraboloid. |
|
|
|
|
|
Discuss how these terms are used in machining and die manufacturing. |
|
|
|
|
Geometric constructions |
Develop solid geometric shapes. |
|
|
|
ADVANCED TRIGONOMETRY
|
20 |
0 |
0 |
|
|
Concepts |
Explain trigonometric functions, complementary and reciprocal functions, signs of trigonometric functions, numerical value of the functions and determination of one function from another. |
|
|
|
|
|
Discuss properties, formulas for solution of right angles, and the use of natural functions to find solutions of right triangles, solution of oblique triangles, coordinates and graphs, and useful tables. |
|
|
|
|
Applications |
Solve practical problems using each of the above terms. |
|
|
|
Suggested Resources |
Brown, W. C. (1985). Modern general shop. South Holland, IL: Goodheart-Willcox.
Feirer, J. L. (1986). General metals. New York: McGraw-Hill.
Goetsch, D. L., et al. (1988). Mathematics for the machine trades. New York: Prentice Hall.
Kibbe, R. A., et al. (1979). Machine tool practices. New York: John Wiley & Sons.
Matt, S. R. (1985). Machine tool operations: An introduction.
Belmont, CA: Wadsworth.
McCabe, J. L. (1987). Mathematics workbook for machine shop.
Denver, CO: McCabe.
Olivo, C. T. (1987). Fundamentals of machine technology. Belmont, CA: Wadsworth.
Smith, R. D. (1984). Mathematics for machine technology.
Albany, NY: Delmar.