CCOG for CADD 115 Spring 2023
 Course Number:
 CADD 115
 Course Title:
 Practical Mathematics for CAD Designers and Drafters
 Credit Hours:
 4
 Lecture Hours:
 30
 Lecture/Lab Hours:
 20
 Lab Hours:
 0
Course Description
Intended Outcomes for the course
Upon completion of the course students will be able to:

Apply computational analysis techniques to solve practical computer aided design and drafting scenarios.

Understand and utilize measurement systems, precision and conversions as used in the computer aided design and drafting industry.

Perform tolerance study analysis for computer aided design and drafting scenarios.

Recognize manufacturing tolerances and their effect on a mechanical design.

Use trigonometry and geometry to solve various computer aided design and drafting related problems in both twodimensional and threedimensional space settings.

Apply correct technical formulas and handbook data for solving drafting and computer aided design related problems.
Course Activities and Design
Instructor activities:

Provide lectures using computation related problems, examples and projects seen in the CAD and drafting industry.

Demonstrate problem solving methodologies through lecture and videos.

Show industry standard procedure for analysis to solve various mathematical drafting and CAD related industry problems.

Oversee open lab time to assist students in solving problems. Use questions and reinforce lecture material for guiding students to solve computation problems.

Coach students to instill mathematical maturity and confidence.
Student activities:

Receive in class computational projects that will be completed during lab session individually and as groups.

Take home problem sets to reinforce topics.
 Prepare for and take examinations to demonstrate proficiency.
 Take part in class activities by answering find out questions for meeting objectives.
Outcome Assessment Strategies

Complete assignments, projects, test or quiz problems, and class activities which apply reallife situations to computer aid design and drafting scenarios encountered in industry.

Complete activities, assignments, and exams, which show an understanding of geometry and trigonometry problems related to the computer aided design and drafting profession.

Participate in, and contribute to, class discussions, activities and projects.

Take all scheduled examinations.
Course Content (Themes, Concepts, Issues and Skills)
THEMES:

Geometric, trigonometric and graphical understanding

Problem solving

Effective communication

Critical thinking
 Applications, formulas, and modeling with emphasis relating to the design/drafting profession
SKILLS:
GEOMETRY

Identify and learn vocabulary related to geometry and right and oblique triangles. (hypotenuse, legs, adjacent leg, obtuse angle, acute angle, parallel, coplanar, bisecting, tangency, normal to, etc). Identify right versus oblique triangles.

Analysis of circles, quadrilaterals, polygons.

Geometric constructions.

Calculate area and volume of various figures and shapes commonly using in the computer aided design and drafting occupation.

Application of Pythagorean theorem in calculating drafting geometry.

Convert, using a calculator, angular values between minutes and degrees units.

Determine missing sides or angles using similar triangles.

Find the area and perimeter (circumference) of rectangles, squares, triangles, trapezoids, circles, and all regular polygons using the correct formulas.

Find the volume and surface area of rectangular solids, right circular cylinders, cones, and spheres using the correct formulas.
TRIGONOMETRY

Evaluate trigonometric functions using calculators or tables.

Use trigonometric ratios SIN, COS, TAN and their inverses to solve various angles, length and distance values for right triangles. Use and apply appropriate decimal rounding of trigonometric ratios for design/drafting standard problem solving.

Utilize the cofunction of an angle to identify trigonometric ratios of the complement of angles.

Use the Law of Sines and Law of Cosines to determine various lengths and angles of oblique triangles. Know and identify the ambiguous case when solving geometry related to oblique triangles.

Use trigonometry to resolve a force vector into components.

Application of descriptive geometry for creation of orthographic views.
MEASUREMENT

Use proper precision, application and nomenclature for assigning proper measurement system and units to: manufactured parts and assemblies, architectural designs, civil engineering designs and microelectronics.

Convert between SI and standard systems. Applications using engineering drawings represented by both domestic and international units.

Use, apply scaled measurements and equivalent measurement units
FORMULAS, ESTIMATION AND TOLERANCES

Analyze a tolerance stackup of a group of at least three or more manufactured parts as an assembly. Calculate the overall tolerance stack. Use root sum square method.

Use estimation and percent accuracy to solve drafting and CAD problems

Calculate mechanical tolerances and allowance given limits. Define and compute bilateral, unilateral, plusminus tolerances.

Calculate tolerances based on GD&T methodology.

Given a scientific, engineering, drafting or CAD formula and values, calculate for the missing variable.
Related Instruction
Computation
Hours: 120Upon completion of the course students will be able to:

Apply computational analysis techniques to solve practical computer aided design and drafting scenarios.

Understand and utilize measurement systems, precision and conversions as used in the computer aided design and drafting industry.

Perform tolerance study calculations for computer aided design and drafting scenarios.

Use trigonometry and geometry to solve various computer aided design and drafting related computation problems in both twodimensional and threedimensional space settings.

Apply correct technical formulas and handbook data for solving drafting and computer aided design related mathematics problems.
Skills for computational activities:

Calculate area and volume of various figures and shapes commonly using in the computer aided design and drafting occupation.

Application of Pythagorean theorem in calculating drafting geometry.

Convert angular values between minutes and degrees units.

Determine missing sides or angles using similar triangles.

Find the area and perimeter ( or circumference) of rectangles, squares, triangles, trapezoids, circles, and all regular polygons using the correct formulas.

Find the volume and surface area of rectangular solids, right circular cylinders, cones, and spheres using the correct formulas.

Evaluate trigonometric functions using calculators or tables.

Use trigonometric ratios SIN, COS, TAN and their inverses to solve various angles, length and distance values for right triangles. Use and apply appropriate decimal rounding of trigonometric ratios for design/drafting standard problem solving.

Utilize the cofunction of an angle to identify trigonometric ratios of the complement of angles.

Use the Law of Sines and Law of Cosines to determine various lengths and angles of oblique triangles.
 Use trigonometry to resolve a force vector into components.
 Convert between SI and standard systems.

Analyze a tolerance stack up of a group of at least three or more manufactured parts as an assembly. Calculate the overall tolerance stack. Use root sum square method.

Use estimation and percent accuracy to solve drafting and CAD problems

Calculate mechanical tolerances and allowance given limits. Define and compute bilateral, unilateral, plusminus tolerances.

Calculate tolerances based on GD&T methodology.

Given a scientific, engineering, drafting or CAD formula and values, calculate for the missing variable.