Surveying and Geomatics

  1. Fundamental Concepts and Mathematics
    1. Units of Measurement
      1. Linear Units
        1. Metric System
          1. Imperial System
            1. Historical Units
            2. Angular Units
              1. Degrees
                1. Radians
                  1. Grads
                    1. Minutes and Seconds
                    2. Area Units
                      1. Square Meters
                        1. Acres
                          1. Hectares
                          2. Volume Units
                            1. Cubic Meters
                              1. Cubic Yards
                              2. Unit Conversions
                                1. Conversion Factors
                                  1. Practical Examples
                                    1. Precision Considerations
                                  2. Significant Figures and Precision
                                    1. Rules for Significant Figures
                                      1. Rounding Procedures
                                        1. Precision in Calculations
                                          1. Impact on Survey Results
                                            1. Error Propagation in Calculations
                                            2. Basic Geometry for Surveying
                                              1. Properties of Triangles
                                                1. Types of Triangles
                                                  1. Triangle Solutions
                                                    1. Area Calculations
                                                    2. Properties of Polygons
                                                      1. Regular Polygons
                                                        1. Irregular Polygons
                                                          1. Area and Perimeter
                                                          2. Circle Geometry
                                                            1. Arc Length
                                                              1. Sector Area
                                                                1. Chord Calculations
                                                              2. Trigonometry for Surveying
                                                                1. Right Triangle Trigonometry
                                                                  1. Sine, Cosine, Tangent
                                                                    1. Inverse Functions
                                                                    2. Pythagorean Theorem Applications
                                                                      1. Law of Sines
                                                                        1. Law of Cosines
                                                                          1. Oblique Triangle Solutions
                                                                            1. Spherical Trigonometry
                                                                              1. Spherical Triangles
                                                                                1. Spherical Excess
                                                                                  1. Applications in Geodesy
                                                                                2. Coordinate Systems and Geometry
                                                                                  1. Cartesian Coordinates
                                                                                    1. Two-Dimensional Systems
                                                                                      1. Three-Dimensional Systems
                                                                                      2. Polar Coordinates
                                                                                        1. Radius and Angle
                                                                                          1. Conversion to Cartesian
                                                                                          2. Distance Calculations
                                                                                            1. Two-Point Distance
                                                                                              1. Three-Dimensional Distance
                                                                                              2. Bearing and Azimuth Calculations
                                                                                                1. Definitions and Differences
                                                                                                  1. Conversion Methods
                                                                                                    1. Forward and Back Bearings
                                                                                                  2. Surveying Computations
                                                                                                    1. Latitudes and Departures
                                                                                                      1. Calculation Methods
                                                                                                        1. Coordinate Differences
                                                                                                          1. Applications in Traversing
                                                                                                          2. Area Calculations
                                                                                                            1. Coordinate Method
                                                                                                              1. Double Meridian Distance
                                                                                                                1. Trapezoidal Rule
                                                                                                                2. Traverse Computations
                                                                                                                  1. Open Traverse
                                                                                                                    1. Closed Traverse
                                                                                                                      1. Loop Traverse
                                                                                                                        1. Connecting Traverse

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                                                                                                                    1. Introduction to Surveying and Geomatics

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                                                                                                                    3. Theory of Errors and Measurement Adjustment