SRJC Course Outlines

5/10/2021 9:51:33 PMAPTECH 90B Course Outline as of Spring 2002

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  APTECH 90BTitle:  QUANT REASON/APTECH  
Full Title:  Quantitative Reasoning in Applied Technology
Last Reviewed:10/17/2011

UnitsCourse Hours per Week Nbr of WeeksCourse Hours Total
Maximum4.00Lecture Scheduled4.0017.5 max.Lecture Scheduled70.00
Minimum4.00Lab Scheduled017.5 min.Lab Scheduled0
 Contact DHR4.00 Contact DHR70.00
 Contact Total8.00 Contact Total140.00
 
 Non-contact DHR0 Non-contact DHR Total0

 Total Out of Class Hours:  140.00Total Student Learning Hours: 280.00 

Title 5 Category:  AA Degree Applicable
Grading:  Grade or P/NP
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. The areas of study are the analysis, solution and application of angle measurements and their related functions, associated graphical representations, solution to triangles, complex numbers and analytic geometry, as they are related to the trades and various technologies.

Prerequisites/Corequisites:
Completion of Ap Tech 90A


Recommended Preparation:
Math 155

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document
A course in quantitative reasoning which applies trigonometry principles encountered in surveying, civil engineering, construction, electronics and related engineering technologies.
(Grade or P/NP)

Prerequisites:Completion of Ap Tech 90A
Recommended:Math 155
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:Fall 1981
Inactive:Fall 2009
 Area:B
B
MC
Communication and Analytical Thinking
Communication and Analytical Thinking
Math Competency
 
CSU GE:Transfer Area Effective:Inactive:
 B4Math/Quantitative ReasoningFall 1991Fall 1997
 
IGETC:Transfer Area Effective:Inactive:
 
CSU Transfer:TransferableEffective:Spring 1982Inactive:Spring 2016
 
UC Transfer:Effective:Inactive:
 
C-ID:

Certificate/Major Applicable: Both Certificate and Major Applicable



COURSE CONTENT

Outcomes and Objectives:
Upon completion of the course, students will 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.  Demonstrate and apply Pythagorean theorem to the laying out of a
   right triangle with a tape.
3.  Demonstrate and apply trigonometry to solve right triangles including
   applications to the construction trades with the determination of the
   slopes of roofs and various member roof cuts.
4.  Demonstrate and apply trigonometry to solve right triangles including
   applications to the construction trades with the determination of the
   angles found in rafters, studs and bracing.
5.  Demonstrate and apply trigonometric concepts of oblique triangles.
6.  Demonstrate & apply the trigonometric concepts of components including
   vectors and vector addition found in the construction trades of
   horizontal and vertical components of forces.
7.  Demonstrate and apply the techniques of analytic geometry with regard
   to arc lengths and areas found in the construction trades as shown
   with the determination of the arc length and area of sectors, and arc
   lengths and areas found in the construction trades.
8.  Demonstrate and apply the techniques used in the graphing of trigo-
   nometric functions as found in the construction, electrical and
   electronic technology trades as shown with the determination of
   amplitude, periodic functions, resonance, graphs of trigonometric
   functions, general graphing and graphing by the addition of ordinates.

Topics and Scope
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Theories, concepts and skills used in quantitative reasoning which applies
goniometric principles to solve selected problems encountered in
surveying, civil engineering, construction, electronics and related
engineering technologies.  For example the topics covered include:
1.  Application of Trigonometric Functions
   a.  application of definitions for surveying
   b.  characteristics of functions used
   c.  applications of radian and degree measurements to triangular lots
   d.  applications to right triangles as found in construction
       applications
   e.  application to the length and areas of sectors (i.e. streets and
       highway curves)
2.  Application involving Oblique Triangles
   a.  applications of trigonometric functions to similar triangles
   b.  application of oblique triangles
   c.  determination of the area of triangles
   d.  applications of the Law of Sines
   e.  applications of the 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.  application to the length and areas of sectors (i.e. streets and
       highway curves)
   b.  applications of analytic geometry
   c.  applications to irregularly shaped lots
5.  Application of Sine and Cosine Graphs
   a.  genera graphing of functions and graphing by the addition of
       coordinates
   b.  analysis of amplitude
   c.  analysis of periodic function
   d.  analysis of resonance

Assignments:
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Through written assignments, the student will correctly use:
1.  Trigonometry in laying out right angles using tape measure,determining
   slope of roofs, angles of rafters, and finding the length of truss
   members.
2.  Trigonometric functions in determining the voltage and current
   relationships found in inductive/capacitive circuits, the inter-
   pretation of Lissajous  patterns, and the structural dampening effects
   of sine and cosine waves.
3.  Right and oblique triangle mathematic principles for problems en-
   countered in finding the lengths of truss members and property line
   lengths.
4.  Complex numbers for the purposes of analyzing the sum of two per-
   pendicular forces, and the addition or subtraction of vector forces
   encountered in building a bridge.
5.  Analytic geometry as needed to determine the arc length and sector
   areas used in highway curves and land areas within highway curves.

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
5 - 10%
Lab reports
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills.Problem Solving
10 - 50%
Homework problems
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.Skill Demonstrations
25 - 50%
Performance exams
Exams: All forms of formal testing, other than skill performance exams.Exams
10 - 40%
QUIZZES AND TECHNICAL PROBLEMS TO SOLVE
Other: Includes any assessment tools that do not logically fit into the above categories.Other Category
0 - 10%
ATTENDANCE AND CLASS PARTICIPATION


Representative Textbooks and Materials:
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Fundamentals of Technical Mathematics, Arthus D Kramer:  Glencoe/
McGraw-Hill, 2000.
Applied Trigonometry, McHale and Witzke:  Addison-Wesley, 1999.

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