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Covers axioms of probability, random variables, continuous and discrete distributions, moment generating functions, distributions of functions of random variables, sampling distributions. Prerequisites: MAT 425, MAT 434 or permission. Cr. 3. Topics include principles and methods of parametric point estimation, interval estimation and hypothesis testing, non-parametric inference. Prerequisite:. MAT 531. Cr. 3.

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Provides definition and overview of remote sensing principles, sensors and interpretation techniques. Topics include: energy sources and interaction, photographic systems, airphoto interpretation, electro-optical sensors, non-imaging sensors, radar systems, space platforms, data processing, classification, application to spatial information engineering, term project. Lec. 3, Lab. 1. Prerequisite:. MAT 228, PHY 122. Cr. 4. Introduction to image processing and analysis techniques suitable to the processing of remotely sensed data. Topics include elements of digital image processing and analysis systems; image digitization, quantization and sampling; image storage, display and image file management; geometric operations, rectification, registration and resampling techniques; image enhancements, point operations and filtering; transformations in spatial and frequency domains; image restoration and compression; image segmentation and feature extraction; automated interpretation and spatial information extraction; term project. Lec. 2, Lab. 1. Prerequisite:. SIE 433. Cr. 3. Introduces both the conceptual and practical aspects of developing GIS applications. Covers issues from project planning through project implementation. Students will be required to develop specific applications. Course grades will be based on class participation, completion of several exercises and satisfactory development and completion of a project. Exercises will be used to develop specific skills and will be completed individually. Projects will be implemented by groups and each group will be responsible for a final project report, an interactive demonstration and presentation to the class and outside agency representatives as appropriate. Lec. 3, Lab. 1. Prerequisite:. SIE 271. Cr. 4. Introduces students to techniques for spatial analysis. Covers methods and problems in spatial data sampling, issues in preliminary or exploratory analysis, problems in providing numerical summaries and characterizing spatial properties of map data and analysis techniques for univariate and multivariate data. Students will be responsible for completing several hands-on exercises. Prerequisite: an introductory statistics course. Cr. 3. Orientations, optimization of data collection for control extension by photogrammetry and semianalytical and analytical methods of aerotriangulation. Reliability considerations in large blocks of aerial photographs. Real-time and a posteriori blunder detection techniques including sparsity of equations in large blocks of photographs, recursive partitioning techniques, self-calibration in aerotriangulation. Digital cameras, matching techniques, automated digital photogrammetric processes. Digital orthophotography, automated GIS data capture. Lec. 3, Lab. 1. Prerequisite:. SIE 401, SIE 432. Cr. 4. Topics include: stellar coordinate systems, precession, nutation, time systems, troposphere, ionosphere; satellite orbital theory, Global Positioning System (GPS), space segment, correlating receivers and code-less receivers; pseudo ranges; single, double, and triple difference phase processing; point positioning, relative positioning; dual frequency processing; code smoothing techniques; positioning of moving platforms; simultaneous orbital and baseline estimation; GPS vector adjustments and combination with terrestrial observations; astronomical azimuth, latitude and longitude determination; proper motion, aberration, parallax. Lec. 3. Prerequisite:. SIE 401. Cr. 3. GPS dual-frequency data collection and processing, vector network adjustments, internal and external reliability of vector networks, continuously operating reference stations, impact of satellite constellation geometry, vector processing strategies, ionospheric constraints on long baselines, ambiguity fixing on the fly, centimeter navigation versus surveying, precise ephemeris generation, differential correction services, GPS support on the Internet. Lec. 2, Lab. 1. Prerequisite:. SIE 401. Cr. 3.