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

trigonometry is used to determine distance and elevation changes when surveying a given terrain

circle and triangle geometry is used in horizontal curve calculations

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
standard deviation curve
surveying equipment

Other Concepts:

  • unit conversions
  • parabolic curves
  • derivatives
  • area formulas for various shapes
  • rearranging equations
surveying equipment