| 1 | Introduction/Prediction Needs
  Course Description and Expectations
  Motivation
  Presentation of Possible Project Topics |  | 
| 2-4 | Attractors and Dimensions
  Definitions (Ses #2)
  Attractor Dimensions (Ses #3)
  Embedding (Ses #4) | Problem Set 1 out (Ses #3) | 
| 5-10 | Sensitive Dependence to Initial Conditions
  Lyapunov Exponents (Ses #5-6)
  Singular Vectors and Norms (Ses #7-9)
  Validity of Linearity Assumption (Ses #10) | Problem Set 1 due (Ses #5)
  Problem Set 2 out (Ses #6)
  Problem Set 1 returned (Ses #7)
  Problem Set 2 due (Ses #8)
  Problem Set 2 returned (Ses #10)
  Problem Set 3 out (Ses #10) | 
| 11-18 | Probabilistic Forecasting
  Probability Primer (Ses #12)
  Stochastic-Dynamic Prediction (Ses #11-12)
  Monte-Carlo (Ensemble) Approximation (Ses #12)
  Ensemble Forecasting Climate Change (Ses #13, 15, 17)
  Ensemble Construction (Perfect, Unconstrained, Constrained) (Ses #16)
  Ensemble Assessment (Ses #18) | Problem Set 3 due (Ses #12)
  Problem Set 3 returned (Ses #13) | 
| 19-22 | Data Assimilation
  Definition and Kalman Filter Derivations (Ses #19-20)
  3dVar and 4dVar Derivations (Ses #20)
  Adjoint Models (Ses #21)
  Nonlinear Data Assimilation (Ses #21)
  Ensemble-Based Data Assimilation (Ses #22) | Problem Set 4 out (Ses #19)
  Problem Set 4 due (Ses #22) |