1-1 Units
SI Units, incl. Definition and History, Base Quantities, Derived Quantities, Prefixes of Units, Angles, Conversion Degrees <-> Radian, Conventional Measuring and Test Equipment

1-2 Coordinate Systems
(Mathematical) Drawing Plane, Origin, Cartesian Coordinates, Right-Hand Rule, Translation and Rotation, Polar Coordinates, Cylindrical and Spherical Coordinate System

1-3 Coordinate Measuring Machines
History of Coordinate measuring machines, Cantilever/Bridge/Column/Gantry Types, Differences in the Types, Axis Guide, Measuring Computer and Software, Work Holding Fixture, Accuracy of Coordinate Measuring Machines, CAA Correction, Form Measuring Machines

1-4 Sensors
Sensor selection, Stylus System, Stylus, optical sensors, Image Processing, Laser Triangulation

1-5 Basic definitions
Drawing Entries (Dimensions, Tolerance Symbols), Standard Reference, Differences Nominal Element - Real Element - Extracted Element - Associated Element, Free Form surfaces

1-6 Dimensional Tolerance
Dimensional Tolerances, Taylor?s Principle, Standards, Symbols and Drawing Entries, Length Dimensions, Angular Dimensions, Limiting Dimensions and Fits, ISO Fitting/Mating System, Common Tolerances

1-7 Geometric elements
Standard form elements: Plane/ Cylinder/ Cone/ Sphere/ Line/ Circle/ Point/ Ellipse, Vector, Normal Vector, Minimum Number of Points, Projection

1-8 Geometric constructions
Calculation of characteristics out of two geometrical features (distance, angle), Calculation of features out of two geometrical features (Intersection, Symmetry), Calculation of new features out of some geometrical features (Construction)

1-9 Preparing a Measurement on the Coordinate Measuring Machine
Standardized Temperature, Part Cleaning, Temperature Control, Fixturing, (Avoiding Distortion), Fixturing Systems, CMM and Software Startup

1-10 Stylus Selection and Qualification
Stylus System Selection, Stylus Qualification, Reference Sphere, Reference Stylus, Stylus Sphere Radius Correction, Stylus Tip Bending Correction, Mechanical Filter Effect of the Stylus, Errors of Incorrect Qualification,

1-11 Measuring using Coordinate Measuring Machines
Determining part Coordinate System, Difference to Control Coordinate System, Manual and automatic Alignment, Probing, References, Consequences of Collisions, Number of Probing Points and their Distribution, Influences on measuring result

1-12 Evaluation of Measurement and Statistics
Association methods (Gauss, Maximum Inscribed, Minimum Circumscribed, Minimum Zone), ISO 1101, ISO 14405 and ASME, Modifier symbols (ISO), Statistical Parameters, Mean value, range, standard deviation, median, Outliers, Scattering, Histogram Representation

1-13 Inspection planning
Completely defined characteristic, Purpose of the Measurement, Production of workpiece, Function of workpiece, Feature description, Manufacturing Methods and Accuracies, Shape Deviations, Uncertainty Effects, Awareness of Measuring Uncertainty, Inspection planning, Identifying measuring features

1-14 Documentation and Quality Management
Measurement Reports, Quality Control Charts, Cooperation between Design - Production - Testing, Reproducible and Clear Measurement Documentation, Measuring Strategy documentation