Traverse Computations I

Course Number
The first of a two-course sequence on traverse computations, Traverse Computations I is ideal for anyone who is beginning the process of designing surveys, analyzing the results, or supervising such work.  It is also useful for those who have already been traversing in the field or computing them in the office, but have not had an introduction to the concepts of traverse computations, or the theory behind them.  The course begins with a discussion of why traverse computations are done (i.e. redistribution of accumulated random error and to possibly detect blunders).  The steps in the process of traverse computation are listed, and then the course begins with balancing of the angles in a traverse.  Bearings or azimuths are then computed, and latitudes and departures are determined from them to determine traverse misclosure and precision.  The course ends with a discussion of how the error of closure can be used to detect blunders. 

Suggested Prerequisites:
It is helpful to have had some exposure to errors in surveying; knowledge of mathematics through simple application of the trigonometric functions(sine, cosine, tangent) is necessary to understand the material.  The learner should review the course overviews for Errors in Surveying, Systematic Errors I, Systematic Errors II, Random Errors I, and Random Errors II if there has not been formal or informal learning in these subjects.
Learners who successfully complete this course will receive a certificate of completion for 1 professional development hour.
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Joseph V.R. Paiva is CEO of GeoLearn, LLC (, which is launching an online professional education business for the geospatial industry in early 2014. Joe started this business with his partner Bob Morris, whose most recent global industry position was President of Leica Mapping. Previously, Dr. Paiva was CTO of SADAR 3D and COO of Gatewing NV, a Belgian unmanned airborne systems company. Prior engagements in consulting were in the field of geomatics and general business, particularly to international developers, manufacturers and distributors of instrumentation and other geomatics tools. Dr. Paiva and Mr. Morris continue to be involved in consultancy through a separate partnership called GeoSpatial Associates, LLC will continue this consultancy. Joe’s career includes: managing director of Spatial Data Research, Inc., a GIS data collection, compilation and software development company; various assignments at Trimble Navigation Ltd. including senior scientist and technical advisor for Land Survey research & development, VP of the Land Survey group, and director of business development for the Engineering and Construction Division; vice president and a founder of Sokkia Technology, Inc., guiding development of GPS- and software-based products for surveying, mapping, measurement and positioning. He has also held senior technical management positions in The Lietz Co. and Sokkia Co. Ltd. Prior to that was assistant professor of civil engineering at the University of Missouri-Columbia, and a partner in a surveying/civil engineering consulting firm. He has continued his interest in teaching by serving as an adjunct instructor for online course development and teaching at the Missouri University of Science and Technology. His key contributions in the development field are: design of software flow for the SDR2, SDR20 series and SDR33 Electronic Field Books and software interface for the Trimble TTS500 total station. He is a registered Professional Engineer and Professional Land Surveyor, has served as ACSM representative to the Accrediting Board for Engineering and Technology (ABET), serving as a program evaluator, team chair, and commissioner and has more than 30 years experience working in civil engineering, surveying and mapping. He writes for POB, GeoDataPoint and The Empire State Surveyor magazines and has been a past contributor of columns to Civil Engineering News. Joe has also been a consultant to the Geomatics Industry Association of America, later reorganized under the Association of Equipment Manufacturers (AEM) as the Geospatial Industry Group, Joe has organized and presented workshops and authored and edited articles for the technical press in this role.

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