12/22/2024 3:28:20 AM	APTECH 90B Course Outline as of Spring 2002	Changed 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		17.5 min.	Lab Scheduled	0
		Contact DHR	4.00			Contact DHR	70.00
		Contact Total	8.00			Contact Total	140.00
		Non-contact DHR	0			Non-contact DHR Total	0

Total Out of Class Hours:  140.00

Total 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:

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:

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:
	B4	Math/Quantitative Reasoning		Fall 1991	Fall 1997
IGETC:	Transfer Area			Effective:	Inactive:
CSU Transfer:	Transferable	Effective:	Spring 1982	Inactive:	Spring 2016
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:

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

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:

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:

Fundamentals of Technical Mathematics, Arthus D Kramer:  Glencoe/

McGraw-Hill, 2000.

Applied Trigonometry, McHale and Witzke:  Addison-Wesley, 1999.

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