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UF GEOMATICS SUR 3641 Surveying
Computations |
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Instructor: David W.
Gibson, Ph.D. (Dr. Dave) Office: 303 Reed Lab Phone: 352-392-4995 Email: dgibs@ufl.edu Syllabus: here Course Objectives: Following this course, the student should
be able to 1. Compute coordinates of survey points by
applying angles, distances, bearings, azimuths. 2. Perform algebra and trigonometry
operations on equations to "solve" for unknown quantities. 3. Compute survey coordinates by standard
"COGO" operations called "traversing",
"inversing", "bearing-bearing intersection",
"bearing-distance intersection", "distance-distance
intersection", and "resection". 4. Calculate survey data by applying basic
theory without software using a hand-held calculator similar to those
approved for the board exams. 5. Calculate survey data by applying basic
theory in Microsoft "Excel" spreadsheet software. 6. Calculate quantities of figures such as
perimeters, areas, volumes. 7. Solve survey calculations such as
"pre-determined areas", "missing traverse parts",
"compound and reverse curves", and "radius calculations." Lectures: Lecture 1: Algebra
Review and Assessment Lecture 2: Intro to
Excel, Trig Review Lecture 3: Triangle
Trig Review -- Right and Oblique
Triangles Lecture 4: Traverse
Angles, Bearings, Azimuths interior, exterior, deflection, clockwise,
bearings, azimuths, reverse bearings, reverse azimuths, traverse angle
closure, angle balancing. Lecture 5: Closed
Traverse Computations (new one)
latitudes, departures, coordinates, balance by compass rule, balanced
lengths and azimuths (also used in my "Route" class) Closed
Traverse Computations (old one) Lecture 6: Geometry Formulas
trig formulas and identities, perimeters, areas, volumes. Lecture 7: Units
of Measure and Significant Figures measurement, lineal, area, English,
metric, conversions, significant figures in computations. Lecture 8: Introduction
to COGO (also used in the basic surveying class) history of COGO, COGO languages,
seven prominent COGO functions: STORE POINT, TRAVERSE, INVERSE, AREA,
BEARING-BEARING INT, DISTANCE-DISTANCE INT, BEARING DISTANCE INT. Note: This is a
"REAL MEDIA" video file. You must have "REAL PLAYER" on
your computer. www.realplayer.com Lecture 9: COGO
Program Demonstration all functions have been reduced to
"icons" to "automate" the process. However, after this demonstration, we will
be "doing it by hand". Old COGO
program *.exe file. Note: This is a
"REAL MEDIA" video file. You must have "REAL PLAYER" on
your computer. Lecture 10: Store
Point and Traversing -- developing an "Excel" COGO
calculator", loci, angle conversions (COGO1) Lecture 11: Inversing
and Bearing-Bearing Formula --
theory of inversing and bearing-bearing intersection by formula (COGO2) ALSO a 10 minute session on ATAN2 a useful Excel
function for inversing. Lecture 12: Bearing-Bearing
by Oblique Triangles, Distance-Distance by Oblique Triangles theory of
bearing-bearing and distance-distance intersection by oblique triangles.
(COGO3) Lecture 13: Bearing-Distance
by Oblique Triangles, Traverse Area theory of bearing-distance intersection, area
computation (COGO4) Lecture 14: Foot of Perpendicular,
Horizontal Curve Calculations finding the "foot of
perpendicular" from a point, theory of horizontal curves and the
calculation of curve quantities. (COGO5) Lecture 15: Pre-determined
Areas calculate figures where the area must be a certain value, line
shift, line rotate. (COGO6) Lecture 16: Resection
Determining the location of a "free point" by the measurement of
angles only, resection. (COGO7) Lecture 17: Compound
and Reverse Curves tangent circular curves, reversed curves, compound
curves.(COGO8) Lecture 18: Traverse
Areas with Curves, Missing Traverse Parts (missing B/B, missing B/D,
missing D/D, missing D known area, missing B known area.) Lecture 19: Circle
Calculations I calculating curves to fit special situations, thru 3
points, thru two points tangent to a line (COGO9) Lecture 20: Circle
Calculations II tangent to two lines through a point, tangent to three
lines, tangent to two lines tangent to a circle (COGO11) Lecture 21: Circle
Calculations III -- thru two points tangent to a circle, thru one point
tangent to two circles, thru a point tangent to a line tangent to a circle (COGO12) Lecture 22: Circle
Calculations IV -- tangent to a
line tangent to two circles, tangent to three circles (Apollonian
Problem) (COGO13) Lecture 23: Analytic
Geometry Solving Equations one equation one unknown, quadratic
equation, two linear equations, two unknowns, higher power equations, two
equations two unknowns Lecture 24: Analytic
Geometry Line Circle Intersections equation of a line, equation of a
circle, line-line intersection (BB), line-circle intersection (BD),
circle-circle intersection (DD). Lecture 25: DMD, Cross
Multiply, Criss-Cross calculate areas by DMD, derive the cross multiply
method, study the criss-cross method. Lecture 26: Coordinate
System Transformations scaling, translation, rotation. Lecture 27: Intro to Matrix
Methods of Computation matrix addition, subtraction, multiplication,
inversion, determinates. Lecture 28: Application of
Matrix Methods to Survey Computations Bearing-Bearing Intersection,
Coordinate Transformations. Lecture 29: Review
of COGO functions in AutoCAD and Land Desktop comparison of this "pre
programmed" software with our course materials. |
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Last updated: 10/2/08 - Comments and suggestions
welcome - webmaster |
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