Description
1. Introduction 2. Overview of Linear Algebra 3. Univariate Distribution Theory 4. Multivariate Distribution Theory 5. Introduction to Calculus of Variation 6. Introduction to Control Theory 7. Optimal Control Theory 8. Numerical Solutions to Initial Value Problems 9. Numerical Solutions to Boundary Value Problems 10. Introduction to Semi-Lagrangian Advection Methods 11. Introduction to Finite Element Modeling 12. Numerical Modeling on the Sphere 13. Tangent Linear Modeling and Adjoints 14. Observations 15. Non-variational Sequential Data Assimilation Methods 16. Variational Data Assimilation 17. Subcomponents of Variational Data Assimilation 18. Observation Space Variational Data Assimilation Methods 19. Kalman Filter and Smoother 20. Ensemble-Based Data Assimilation 21. Non-Gaussian Variational Data Assimilation 22. Markov Chain Monte Carlo and Particle Filter Methods 23. Machine Learning Artificial Intelligence with Data Assimilation 24. Applications of Data Assimilation in the Geosciences 25. Solutions to Select Exercise
