| 12/21/2024 4:23:45 AM |
| Inactive Course |
| CATALOG INFORMATION
|
| Discipline and Nbr:
APTECH 90B | Title:
QUANT REASON/APTECH |
|
| Full Title:
Quantitative Reasoning in Applied Technology |
| Last Reviewed:10/17/2011 |
| Units | Course Hours per Week | | Nbr of Weeks | Course Hours Total |
| Maximum | 4.00 | Lecture Scheduled | 4.00 | 17.5 max. | Lecture Scheduled | 70.00 |
| Minimum | 4.00 | Lab Scheduled | 0 | 6 min. | Lab Scheduled | 0 |
| | Contact DHR | 0 | | Contact DHR | 0 |
| | Contact Total | 4.00 | | Contact Total | 70.00 |
| |
| | Non-contact DHR | 0 | | Non-contact DHR Total | 0 |
| | Total Out of Class Hours: 140.00 | Total Student Learning Hours: 210.00 | |
Title 5 Category:
AA Degree Applicable
Grading:
Grade Only
Repeatability:
00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:
CET 90B
Catalog Description:
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A course in quantitative reasoning which applies trigonometry principles to problems encountered in surveying, civil engineering, construction, electronics and related engineering technologies.
Prerequisites/Corequisites:
Course Completion of APTECH 90A ( or CET 90A)
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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A course in quantitative reasoning which applies trigonometry principles encountered in surveying, civil engineering, construction, electronics and related engineering technologies.
(Grade Only)
Prerequisites:Course Completion of APTECH 90A ( or CET 90A)
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
| Associate Degree: | Effective: | | Inactive: | |
| Area: | | |
| |
| CSU GE: | Transfer Area | | Effective: | Inactive: |
| | B4 | Math/Quantitative Reasoning | Fall 1991 | Fall 1997 |
| |
| IGETC: | Transfer Area | | Effective: | Inactive: |
| |
| CSU Transfer: | | Effective: | | Inactive: | |
| |
| UC Transfer: | | Effective: | | Inactive: | |
| |
| C-ID: |
Certificate/Major Applicable:
Both Certificate and Major Applicable
COURSE CONTENT
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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The student will be able to:
1. State the purpose, function and application of trigonometry, including
definitions, characteristics of functions, radian and degree
measurements, and inverse functions.
2. Use the Pythagorean theorem to lay out a
right triangle with a tape measure.
3. Use trigonometry to solve right and oblique triangles as used in construction trades.
4. Apply vectors to analysis of horizontal and vertical components of forces.
5. Calculate lengths of arcs and areas of sectors found in the construction trades.
6. Graph and analyze trigonometric functions with respect to amplitude, periodicity and resonance.
Topics and Scope
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1. Application of Trigonometric Functions
a. definitions for surveying
b. characteristics of functions used
c. radian and degree measurements to triangular lots
d. right triangles as found in construction
applications
e. length and areas of sectors (i.e. streets and
highway curves)
2. Application involving Oblique Triangles
a. applying trigonometric functions to similar triangles
b. oblique triangles
c. area of triangles
d. Law of Sines
e. Law of Cosines
f. ambiguous triangles and associated errors in judgment
3. Components of Vectors and Vector Addition
a. definition of vectors
b. addition and subtraction of vectors
c. complex numbers
d. polar coordinates
4. Applications of Arc Lengths and Areas
a. length and areas of sectors (i.e. streets and
highway curves)
b. analytic geometry
c. irregularly shaped lots
5. Application of Sine and Cosine Graphs
a. general graphing of functions and graphing by the addition of
coordinates
b. analysis of amplitude, periodic function and resonance
Assignments:
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1. Daily reading outside of class (20-40 pages per week)
2. Problem set assignments (1-6 per week)
3. Quizzes (1-4 per semester)
4. Exams (1-8 per semester); Final
5. Projects (Calculator explorations and application activities) (2-8 per semester)
Methods of Evaluation/Basis of Grade.
| Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing. | Writing
0 - 0% |
| None | |
| This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments are more appropriate for this course. |
|
| Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills. | Problem Solving
5 - 20% |
| Problem set assignments | |
| Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. | Skill Demonstrations
5 - 10% |
| Projects | |
| Exams: All forms of formal testing, other than skill performance exams. | Exams
70 - 85% |
| Objective examinations (multiple choice, true false, matching, completion, etc.), quizzes and final. | |
| Other: Includes any assessment tools that do not logically fit into the above categories. | Other Category
0 - 0% |
| None | |
Representative Textbooks and Materials:
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Technical Mathematics, Paul A. Carter: Wiley, 2011
Technical Mathematics, Dale Ewen: Prentice Hall, 2004.
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