GELE study plan

Derive and explain the geoid, ellipsoid, and reference-datum relationships without notes

Compute geodetic vs. geocentric vs. reduced latitude conversions for 10 sample points

Solve 8 direct and 8 inverse geodetic (Vincenty or similar) problems end to end

Build a 25-entry formula sheet covering ellipsoid parameters, radii of curvature, and datum transformations

Perform 6 datum transformations (e.g., PRS92-to-WGS84 style) using both 3-parameter and 7-parameter Helmert models

Compute geoid-spheroid separation effects on orthometric vs. ellipsoidal heights for 5 cases

Set up and solve 4 observation-equation systems by least squares, including weight matrices

Distinguish and apply conditional vs. observation equations to the same small network

Trace the cadastral survey workflow from survey authority to approved plan and register

Classify and differentiate types of cadastral surveys (original, subdivision, consolidation, relocation) with a worked example of each

Identify the rights, restrictions, and encumbrances recorded on a sample certificate of title and explain how each affects a survey

Compute lot areas, bearings, and closures for 5 subdivision scenarios, applying the governing area/bearing tolerance rules

Apply boundary-evidence hierarchy and rules of construction to 6 boundary-dispute vignettes

Compute least-squares adjustment of a cadastral network with constrained and free stations, reporting standard errors on coordinates

Propagate coordinate uncertainty into area and bearing uncertainty for 3 parcels

Resolve 5 conflicting-monument scenarios and justify each decision in writing

Adjust a leveling network and a triangulation network by least squares, computing residuals, reference variance, and error ellipses

Detect and interpret outliers using standardized residuals and a blunder-detection test

Explain and apply map projections (transverse Mercator, Lambert conformal conic) including scale factor and convergence of meridians

Compute grid-to-ground and ground-to-grid conversions for 8 coordinate pairs including combined scale factor

Design a GIS data model for a cadastral/utility dataset: layers, attributes, topology rules, and metadata fields

Perform and document spatial analysis operations (overlay, buffer, network trace) conceptually on the same dataset

Evaluate raster vs. vector choices and coordinate-system choices for 5 stated project scenarios

Solve 10 surveying math problems covering trigonometric leveling, curves, and earthwork volumes

Verify instrument specifications and calibrations (EDM, total station, level) against stated accuracy standards

Compute horizontal and vertical curves, spiral transitions, and volume/earthwork quantities from field data

Explain and apply error propagation to instrument-derived quantities (angle, distance, elevation)

Compute photogrammetric quantities: scale, flying height, relief displacement, and object-height determination

Solve 8 resection/intersection and bundle-adjustment-style photogrammetry problems

Interpret image resolution, GSD, and spectral-band choices for 5 remote-sensing applications

Complete two full-length timed mock exams under exam conditions

Re-solve every item missed across weeks 1-7 and categorize each miss by root cause

Recite from memory the 40 highest-yield formulas and constants across all six domains

Finalize a one-page per-domain summary sheet that can be reviewed in a single sitting