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##### AM-64 - Calculating surface derivatives

- List the likely sources of error in slope and aspect maps derived from digital elevation models (DEMs) and state the circumstances under which these can be very severe
- Outline how higher order derivatives of height can be interpreted
- Explain how slope and aspect can be represented as the vector field given by the first derivative of height
- Explain why the properties of spatial continuity are characteristic of spatial surfaces
- Explain why zero slopes are indicative of surface specific points such as peaks, pits, and passes, and list the conditions necessary for each
- Design an algorithm that calculates slope and aspect from a triangulated irregular network (TIN) model
- Outline a number of different methods for calculating slope from a DEM

##### AM-87 - Problems of currency, source, and scale

- Describe the problem of conflation associated with aggregation of data collected at different times, from different sources, and to different scales and accuracy requirements
- Explain how geostatistical techniques might be used to address such problems

##### AM-13 - Multi-criteria evaluation

- Describe the implementation of an ordered weighting scheme in a multiple-criteria aggregation
- Compare and contrast the terms multi-criteria evaluation, weighted linear combination, and site suitability analysis
- Differentiate between contributing factors and constraints in a multi-criteria application
- Explain the legacy of multi-criteria evaluation in relation to cartographic modeling
- Determine which method to use to combine criteria (e.g., linear, multiplication)
- Create initial weights using the analytical hierarchy process (AHP)
- Calibrate a linear combination model by adjusting weights using a test data set

## AM-48 - Mathematical models of uncertainty: probability and statistics