Geos 567  Inverse Methods in Geophysics

Office:  GouldSimpson Room 525 
Email:  rmr@u.arizona.edu 
Phone:  6214950 
Office Hours:  TBA 
Lecture Times:  Tuesday and Thursday, 12:301:45 pm, GouldSimpson 209 
Text:  Inverse Problems in Geophysics: A Set of Lecture Notes, by Randall M. Richardson and George Zandt (download below) 
This is a onesemester course on the fundamentals on inverse theory. Inverse theory can be loosely defined as the art of inferring as much as possible about a problem using everything that is known about the data and the relationship between the model and the data as expressed by some mathematical forward problem. Emphasis will be on the discrete linear problem, but both nonlinear and continuous inverse problems will be covered.
This course involves substantial homework, a term project, and the expectation of active class participation. The grading is based on the following: 60% Homework, 30% Term Project, and 10% Class Participation.
Homework Set  Title  Due Date 
Homework Set #1  Library / MATLAB  TBA 
Homework Set #2  ParameterSpace Searches  TBA 
Homework Set #3  Least Squares  TBA 
Homework Set #4  Constraints  TBA 
Homework Set #5  Covariance and ChiSquare Test  TBA 
Homework Set #6  Mapping Data Noise to Solution Error  TBA 
Homework Set #7  Singular Value Decomposition  TBA 
Homework Set #8  Inverse Literature Presentation  TBA 
Homework Set #9  NonLinear Problem  TBA 
Homework Set #10  Generalized Inverse  TBA 
Homework Set #11  A Nasty NonLinear Problem  TBA 
Homework Set #12  Noisy Data  TBA 
Homework Set #13  Weighted Generalized Inverse Analysis  TBA 
Chapter  Title  Pages and Size 
Preface  Table of Contents  pages ivi, 127k 
Chapter 1  Introduction  pages 111, 160k 
Chapter 2  Review of Linear Algebra and Statistics  pages 1230, 263K 
Chapter 3  Inverse Methods Based on Length  pages 3169, 319k 
Chapter 4  Linearization of Nonlinear Problems  pages 7088, 228k 
Chapter 5  The Eigenvalue Problem  pages 89122, 266k 
Chapter 6  SingularValue Decomposition (SVD)  pages 123149, 230k 
Chapter 7  The Generalized Inverse and Measures of Quality  pages 150194, 440k 
Chapter 8  Variations of the Generalized Inverse  pages 195238, 518k 
Chapter 9  Continuous Inverse Theory and Other Approaches  pages 239265, 290k 
All Chapters  Complete set of notes as a single file  pages ivi & 1265, 2.8MB 
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