Modeling, Data Analysis and Numerical Techniques for Geochemistry

Clicking on the individual lecture numbers will take you to the lecture notes main page.

• Data analysis and statistics
  • Lecture 1 :
    Resources, MATLAB primer and intro to linear algebra

    Lecture 2 :

    Measurement theory, probability distributions, error propagation and analysis

    Lecture 3 :

    Least Squares and regression techniques, goodness of fit and tests, non-linear least squares techniques

    Lectures 4 and 5:

    Principle Component and Factor Analysis

    Lecture 6 :

    Sequence analysis I: Uniform series, cross- and auto-correlation, and Fourier transforms

    Lecture 7 :

    Sequence analysis II: Optimal filtering and spectral analysis

    Lectures 8 and 9 :

    Objective mapping and Kriging
• Modeling Techniques
  • Lecture 10 :
    Integration of ODEs and 0D box models

    Lecture 11 :

    A tutorial in numerical modeling techniques

    Lecture 12 :

    Model analysis and optimization

    Lectures 13 and 14:

    Advection-diffusion equations and turbulence

    Lectures 15 and 16:

    Finite difference techniques
• Modeling Case Studies
  • Lecture 17 :
    Open-ocean 1-D advection-diffusion models

    Lecture 18 :

    1-D models in sedimentary systems

    Lecture 19 :

    Upper ocean 1-D seasonal models

    Lecture 20 :

    2-D gyre models

    Lecture 21 :

    3-D general circulation models

    Lecture 22 :

    Inverse methods and assimilation techniques

    Lecture 23 :

    Ocean inversion and data assimilation

    Lecture 24 :

    Scientific visualization