| Week | Starts | Section(s) | Topic | |
|---|---|---|---|---|
| 1 | Tue, Sep 1 | Keshet: Section 1.1-1.3, 1.5 |
Comments about modeling phenomena and the scientific method. Discrete linear, deterministic models. Application: Propagation of Annual Plants. | |
| 2 | Tue, Sep 8 | Keshet: Section 1.4, 1.6-1.10 and Problem 20 in Chapter 1. | Basics of eigenvalues and eigenvectors. Application: Leslie Matrices and Demographics of populations. | |
| 3 | Tue, Sep 15 | Keshet: Section 3.6 and Problems 18, 19, 20 in Chapter 3. | Example of a nonlinear, discrete model: Population Genetics and the Hardy-Weinberg Law. | |
| 4 | Tue, Sep 22 | Keshet: Section 6.1. | Continuous linear, deterministic models. Population models: Exponential growth and Logistic growth. Allee Effect. Gompertz Growth in Tumors. | |
| 5 | Tue, Sep 29 | Keshet: Section 6.2, 6.3. | Autonomous systems, steady states and stability analysis. Predator-Prey systems and the Lotka-Volterra equations. Competitive populations and the principle of competitive exclusion (and the resultant adaptations). | |
|
FALL BREAK: Monday, Oct 5
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| 6 | ||||
| Tue, Oct 6 | Keshet: Section 6.6. | Compartmental Models in Epidemiology (Infectious Diseases). The SIR-model of Kermack-McKendrick. | ||
| 7 | Tue, Oct 13 | Keshet: Section 6.7. | The SIR(S)-model with vital dynamics. Herd Immunity and intrinsic reproduction numbers. | |
|
MIDTERM EXAM: Wed, Oct 21, 7:30-10:30 PM in Hylan 1101 and 1104. (Covers Material covered in HW1-4.) (No calculator but a 8 x 11 inch sheet of notes (both sides) is OK.) | ||||
| 8 | Tue, Oct 20 | Olinick Chapter 9 I and II, A-D. | Basics of Probability. Conditional Probability, Bayes Theorem, Independence of Events. | |
| 9 | Tue, Oct 27 | Olinick Chapter 9 II, E-F and III. | Random variables, expected values and variance. Probabilistic model: Pure Birth Process. | |
| 10 | Tue, Nov 3 | Olinick Chapter 9 IV. | Stochastic Processes. | |
| 11 | Tue, Nov 10 | Olinick Chapter 10 I and II. | Markov chains. | |
| 12 | Tue, Nov 17 | Olinick Chapter 10 III and IV. | Regular and Absorbing Markov chains. | |
|
THANKSGIVING BREAK: Nov 25 (Starts at Noon) - Nov 29
| ||||
| 13 | Tue, Nov 24 | Olinick Chapter 10. | Applications of Markov chains to Biology. | |
| 14 | Tue, Dec 1 | Olinick Chapter 13. | A stochastic model of simple epidemics. Comparison of the expected value of the stochastic model with predictions from the analogous deterministic model. | |
| 15 | Tue, Dec 8 | Selected topics. | Selected topics. | |
|
FINAL EXAM: TBA in Hutchison 138. (Covers TBA.) (No calculator.) | ||||
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