USU Geology 5670/6670 (Inverse Theory)
Course Materials, Fall 2023

Course Syllabus

Class Meets Tue-Thu, 9:00-10:15 pm in Distance Ed 209

Resources:

  • Matlab scripts from Menke


  • Assignments:

  • Due 3 September at 9:00am: Assignment 1 & the data


  • PowerPoint Lectures:

  • 29 August: Introduction/Motivation for Inverse Theory
  • 31 August: Introduction to Linear Inversion; Minimization of the L2 Norm
  • 5 September: Ordinary Least Squares; the Pseudoinverse
  • 7 September: Gaussian Statistics and Model Parameter Error (OLS)
  • 12 September: Parameter Uncertainty: the Chi-Square Parameter; Solution Appraisal
  • 14 September: Solution Appraisal; Weighted Least Squares
  • 19 September: Overparameterized Inversion: SVD & the Generalized Inverse
  • 21 September: SVD & The Generalized Inverse