The Fundamentals of Surveying exam covers a wide range of subject matter, and the breadth is the difficulty. Very few questions are hard in isolation; what makes the exam demanding is that the material spans mathematics, measurement science, boundary principles, geodesy, mapping and professional topics, and you cannot predict which will come next.
Before anything else, obtain the current exam specification from the exam provider. It is published, it lists the content areas the exam draws from, and it is the only authoritative statement of scope. This article describes the families of topics qualitatively and suggests how to weight your effort; it is not a substitute for that document, and the specification is revised periodically.
The families of topics
Read the specification's own list rather than this one. Broadly, the material clusters into the following areas.
- Mathematics: algebra, plane and spherical trigonometry, coordinate geometry, basic calculus and vector reasoning, applied to surveying situations rather than posed abstractly.
- Basic sciences: the physical principles behind measurement, including optics, wave propagation, refraction and the behavior of instruments.
- Measurement theory and error analysis: systematic versus random error, propagation of error, weighting, statistical description of observations, and adjustment methods including least squares in concept.
- Field data acquisition and reduction: instrumentation, procedures, corrections applied to raw observations, levelling, traversing, and the reduction of raw field data to usable coordinates.
- Plane survey computations: traverses, closure and adjustment, areas, curves both horizontal and vertical, intersections, and coordinate geometry problems generally.
- Geodesy and geodetic computation: datums, reference frames, ellipsoid and geoid, map projections, state plane and other grid coordinate systems, scale factors and the grid-to-ground relationship.
- Boundary principles: the nature of evidence, the hierarchy of calls, description types, the public land survey system, riparian concepts, and the general legal framework in which boundaries are determined.
- Photogrammetry and remote sensing: image geometry, scale, stereo concepts, lidar fundamentals and where each method is applicable.
- Geographic information systems and spatial data: data models, accuracy and metadata concepts, and how survey data feeds into and out of a GIS.
- Professional topics: ethics, professional responsibility, business and project practice, and written communication in a professional setting.
About proportions
Candidates always want to know how the questions are distributed, and the honest answer is that the specification is where that information comes from, in whatever form the provider currently publishes it. Any table you find elsewhere may be describing a superseded version.
What follows is not published data. It is a planning heuristic — one reasonable way for a candidate to allocate study time, offered as an approximate personal budget rather than as a statement about the exam's composition.
| Area | Rough share of study time | Why |
|---|---|---|
| Mathematics and plane computations | About one third | Underpins many other areas; fluency here speeds up everything else |
| Measurement theory, errors and adjustment | About one sixth | Conceptually distinct, commonly under-prepared, and rewards a small focused effort |
| Geodesy, datums and coordinate systems | About one sixth | Frequently the weakest area for candidates from a field background |
| Boundary principles and the public land system | About one sixth | Rewards memory more than computation; efficient to study in blocks |
| Photogrammetry, remote sensing and GIS | About one eighth | Broad but shallow; a limited investment covers the common ground |
| Professional topics and communication | Small remainder | Mostly reasoning from principles rather than recall; low cost to prepare |
Adjust those shares to your own diagnosis. A candidate coming straight out of a geomatics degree may need almost none of the mathematics allocation and much more on boundary and professional topics. A party chief with fifteen years of field experience will usually find the opposite.
Diagnose before you allocate
The most common preparation error is deciding how to distribute study time by intuition. Intuition systematically over-weights the topics you enjoy, which are almost always the topics you are already good at.
- Work a mixed set of practice problems, untimed and without notes, across every area in the specification.
- Record for each problem whether you got it right, and if not, whether the cause was a knowledge gap, a computation slip, a misread question, or simply being too slow.
- Group the failures by cause, not just by topic. A pattern of computation slips across every topic is a different problem from a knowledge gap in geodesy, and it has a different remedy.
- Rank the topics by the product of how weak you are and how much of the exam the specification indicates they cover. Weak areas that carry little weight are not where your time goes.
- Re-diagnose after about half your study period, because the ranking will have changed and continuing to work your original weak list is a common waste of the second half.
The areas candidates most often neglect
- Error theory and adjustment, because it feels academic. It is very well suited to short conceptual questions, which makes it disproportionately worth preparing.
- Geodesy and map projections, because field practice hides the underlying theory behind software that applies it automatically.
- Photogrammetry and remote sensing, because many candidates have never used them, and a couple of hours on image scale, ground sample distance and lidar basics covers most of what appears.
- GIS concepts, for the same reason, and with the same efficient return on a small investment.
- Professional and ethical topics, which candidates assume can be reasoned out on the day. Mostly they can, but not when you are tired and behind on time.
- The public land survey system, for candidates in states where it does not apply and who therefore have never encountered sections, townships or the rules for subdividing them.
The recurring theme is that the neglected areas are the cheap ones. Hard computational topics reward long study with modest gains; unfamiliar conceptual topics reward short study with large ones. Early in a study plan, spend your time where the return is highest.