CEE 2240 -SURVEYING
Math Skills Course Primer
Prerequisites: MATH 1050MATH 1050 MATH 1060MATH 1060
Topics covered: distance measurements and corrections, leveling, angles and directions, traverse calculations, cuts and fills, topography, horizontal and vertical curves, triangulation.
Math concepts to review:
1. Trigonometry
- trig functions
- relationship to triangle geometry (S0HCAHT0A}
- law of sines, law of cosines ground horizontal distance
- using trigonometry to determine an unknown side length or angle
- unit circle, radians and degrees
trigonometry is used to determine distance and elevation changes when surveying a given terrain
circle and triangle geometry is used in horizontal curve calculations
2. Circle and Triangle Geometry
- Pythagorean theorem
- circumference, area, degree measurements of circles
- rules of triangles and right triangles
- complementary, supplementary, and vertical angles
3. Error Calculations
- standard deviation
- precision vs accuracy
- taking averages
- distributing error
- percentages and percent error
Other Concepts:
- unit conversions
- parabolic curves
- derivatives
- area formulas for various shapes
- rearranging equations