MCCCD Program Description

Trigonometry and Analytic Geometry for Design Technology

Course: DFT107

First Term: 1992 Fall

Lecture 3 Credit(s) 3 Period(s) 3 Load
Subject Type: Occupational
Load Formula: S

Description: An introduction to plane trigonometry and plane and solid geometry with practical applications to the field of design drafting. Problems in the analysis of force, stress, and vectors as well as primary geometric considerations

MCCCD Official Course Competencies
1. Use a hand calculator to solve problems in the mathematics of the plane and of space. (IA-C, IE-F, II, IIIA-C) 2. Solve problems involving right triangles using sine, cosine, and tangent functions as applied to surveying and building design. (IA) 3. Use the law of sines and cosines to fine the resultant and equilibrate of a static force system. (IB) 4. Identify and manipulate the trigonometric reciprocals of secant, cosecant, and cotangent as applied to structural drawings. (IC) 5. Find the trigonometric function of arbitrary angles. (ID) 6. Manipulate trigonometric functions in their more complex roles as identities. (ID) 7. Use radians and apply circular measurement to problems in angular velocity and acceleration as applied to machine problems. (IE) 8. Graph the trigonometric functions and describe their general behavior. (IF) 9. Solve basic statics and mechanics problems using vectors, equilibrium,moments of force, and torque usng graphical and analytic methods. (II) 10. Use primary formulas in plane analytic geometry to fine length and areas of polygons and to divide line segments analytically. (IIIA) 11. Identify and manipulate the normal form of a line and use the line-to-point formula. (IIIA) 12. Identify formulas for translated conic sections and provide their invariant properties. (IIIA) 13. Use parametric forms of curves for analysis and cam displacement diagrams. (IIIA) 14. Use fundamental formulas for projections, distances, and angles in three dimensional coordinate space. (IIIB) 15. Provide equations for planes and lines in three dimensional space and use them to solve design problems. (IIIB) 16. Use alternative coordinate systems to define primary geometric forms of line and plane. (IIIB, IIIC)
MCCCD Official Course Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.

MCCCD Official Course Outline
I. Trigonometry A. Right triangles 1. Solution of problems using sine, cosine, tangent 2. Use of calculator or tables in problems 3. Problems in surveying 4. Problems in building design B. Oblique triangles 1. Law of sines 2. Law of cosines 3. Problems in the machine trades C. Remaining trigonometric functions 1. Secant, cosecant, cotangent 2. Functions of any angle D. Trigonometric identities E. Radians and circular distances 1. Units and measurements 2. Applications to velocity and acceleration for rotating machinery F. Graphs of trigonometric functions 1. Sine and cosine 2. Amplitude and frequency 3. Applications to motion problems 4. Graphs of cosecant, secant, tangent, cotangent II. Vectors A. Properties 1. Graphical addition 2. Analytic addition B. Applications 1. Resolution of forces 2. Equilibrium 3. Moments of force and torque III. Analytic geometry A. Plane analytic geometry 1. Length formulas 2. Point of division formulas: midpoint and proportions 3. Areas by analytic geometry of points 4. Normal form of a line 5. Line to point formula as used in piping design 6. Conic sections 7. Parametric forms of curves as a basis for cam design B. Solid analytic geometry 1. Coordinates in space 2. Fundamental formulas 3. The plane and line in space C. Other coordinate systems 1. Polar coordinates 2. Spherical coordinates 3. Cylindrical coordinates

MCCCD Governing Board Approval Date: 3/24/1992

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.