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Students will be able to:
1. Solve problems involving triangles, polygons, curves and curve elements, terrestrial baselines (vectors), Global Positioning Systems (GPS), GPS signal vectors, matrices, and measurement
data.
2. Calculate curve elements, arc lengths, and areas of sectors and segments.
3. Analyze and solve problems relating to the dimensions of geometric solids such as earth volumes, cut and fill, tailings, and concrete form work.
4. Solve linear equations and inequalities with one, two, or three variables such as those found in trilateration methods of GPS ranging.
5. Solve systems of equations by using various methods.
6. Evaluate and solve ratio and proportion problems found in the civil engineering, land surveying, geospatial, and construction fields.
7. Evaluate and summarize measurement data using descriptive statistics and exploratory data analysis methods.
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I. Review of Fundamental Concepts Found in Geospatial Problem Solving
A. Real number system
B. Scientific notation and engineering notation
C. Exponents and radicals
D. Algebraic expressions and properties
E. Linear equations
F. Ratio and proportion
II. Review of Graphing Concepts
A. Functions used in land surveying
B. Graphing linear equations
C. Distance and slope formulas
D. Coordinate systems used in geospatial mapping
III. Review of Geometric Concepts
A. Lines, angles, distance, and direction
B. Triangles, quadrilaterals, polygons, circles, ellipses, and other geometric figures
1. Orientation
2. Areas
3. Volumes
C. Arcs, arc length, and curves
1. Arc definitions
2. Curve types and curve elements
3. Rays and cardinal points
D. Vectors and scalars
1. Vector components
2. Vector and scalar arithmetic
3. Complex numbers
IV. Review of Trigonometric Concepts
A. Trigonometric functions of an angle
B. Radians and angular measure
C. Right triangle solutions: Pythagorean Theorem
D. Oblique triangle solutions: Law of Sines/Cosines and identification of ambiguities
E. Application of trigonometric functions
1. Angular and linear measures
2. Areas and volumes
3. Arc distances, curve lengths, and curve elements
4. Expressing scalar and vector quantities
5. Graphing simple trigonometric functions
V. Systems of Linear Equations Found in Surveying and Geospatial Problems
A. Examples of linear equations and systems of linear equations
B. Methods of solving systems of linear equations
1. Algebraic and graphical solutions
2. Graphing, addition, substitution, comparison, and determinants and matrices
3. Vector solutions, matrices, and determinants
C. Obtaining multiple solutions for simple 2- and 3-variable systems of equations
VI. Review of Descriptive Statistics in Civil Engineering, Surveying, and GIS
A. Populations, samples, and distributions
B. Summarizing central tendency and spread
C. Other statistical moments
D. Parametric vs. non-parametric statistics
E. Univariate vs. bivariate descriptions
F. Characterize and assess data quality with descriptive statistics
G. Present statistical summaries with diagrams, charts, and graphs
VII. Measurements and Measurement Theory in Civil Engineering, Surveying, and GIS
A. Measurement theory and methods
B. Error assessment and error management
C. Summarizing measurement variability
D. Assess error associated with measurements and measuring devices
VIII. Calculation Methods and Tools
A. Hand calculator
B. Spreadsheet applications
C. Software applications
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Elementary Technical Mathematics. 12th ed. Ewen, Dale and Nelson, Robert. Prentice Hall. 2019
Basic Technical Mathematics. 11th ed. Washington, Allyn. Pearson. 2018
Technical Mathematics. 6th ed. Calter, Paul and Calter, Michael. Wiley. 2011 (classic)
Technical Mathematics. 7th ed. Peterson, John. Cengage. 2019
| Student Preparation |
| Matric Assessment Required: | M | Requires Math Assessment |
| Prerequisites-generate description: | NP | No Prerequisite |
| Advisories-generate description: | U | User-Generated Text |
| Prereq-provisional: | N | NO |
| Prereq/coreq-registration check: | N | No Prerequisite Rules Exist |
| Requires instructor signature: | N | Instructor's Signature Not Required |
| | | |
| BASIC INFORMATION, HOURS/UNITS & REPEATABILITY |
| Method of instruction: | 02 | Lecture |
| | 71 | Internet-Based, Simultaneous Interaction |
| | 72 | Internet-Based, Delayed Interaction |
| Area department: | ENGR | Engineering and Applied Technology |
| Division: | 73 | Science, Technology, Engineering & Mathematics |
| Special topic course: | N | Not a Special Topic Course |
| Program Status: | 1 | Both Certificate and Major Applicable |
| Repeatability: | 00 | Two Repeats if Grade was D, F, NC, or NP |
| Repeat group id: | | |
| | | |
| SCHEDULING |
| Audit allowed: | N | Not Auditable |
| Open entry/exit: | N | Not Open Entry/Open Exit |
| Credit by Exam: | N | Credit by examination not allowed |
| Budget code: Program: | 0000 | Unrestricted |
| Budget code: Activity: | 0910 | CAD Lab |
| | | |
| OTHER CODES |
| Disciplines: | Construction Management
OR
Construction Technology
OR
Engineering Technologies
OR
Engineering |
| Basic Skills: | N | Not a Basic Skills Course |
| Level below transfer: | Y | Not Applicable |
| CVU/CVC status: | Y | Distance Ed, Not CVU/CVC Developed |
| Distance Ed Approved: | N | None |
| Emergency Distance Ed Approved: | Y | Fully Online
Partially Online
Online with flexible in-person activities
|
| Credit for Prior Learning: | N | Agency Exam |
| N | CBE |
| N | Industry Credentials |
| N | Portfolio |
| Non-credit category: | Y | Not Applicable, Credit Course |
| Classification: | Y | Career-Technical Education |
| SAM classification: | C | Clearly Occupational |
| TOP code: | 0957.00 | Civil and Construction Management Tech |
| Work-based learning: | N | Does Not Include Work-Based Learning |
| DSPS course: | N | NO |
| In-service: | N | Not an in-Service Course |