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CCOG for CADD 115 Winter 2022

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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

Introduces computational topics relevant to the computer aided design and drafting occupation. Includes the use of mathematics to solve computer aided design problems, drafting measurement systems and conversions, mechanical tolerance and estimation analysis, GD&T, applied trigonometry, geometry and descriptive geometry topics and computer aided design related technical formulas. Prerequisites: (MTH 58, MTH 60, or MTH 62) and (RD 90 or IRW 90 or ESOL 260). Audit available.

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 two-dimensional and three-dimensional 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 real-life 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 co-function 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 micro-electronics.   

  • 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 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, plus-minus 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: 120

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 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 two-dimensional and three-dimensional 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 co-function 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, plus-minus tolerances.

  • Calculate tolerances based on GD&T methodology.

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