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Lecture 1: Introduction. (September 9)
Lecture 2: Mathematica notation. (September 9)
Lecture 3: Constructing a model. (September 14)
Lecture 4: One variable Models: Exponential growth. (September 14 and 16)
Lecture 5: One variable Models: Logistic growth. (September 16)
Lecture 6: One variable Models: Selection. (September 21)
Lecture 7: Methods of Analysis. I. Graphing. (September 23)
Lecture 8: Methods of Analysis. II. Equilibria. (September 28)
Lecture 9: Methods of Analysis. III. Stability (Local). (September 30 and October 5)
Lecture 10: Methods of Analysis. III. Stability (Global). (October 5)
Lecture 11: Methods of Analysis. IV. General Solutions. (October 7)
Lecture 12: Applications of Theory (October 7 and 12)
Lecture 13: Putting all this together -- Methylation Levels (October 12)
EXAMPLES & REVIEW (October 19)
MIDTERM (October 21)
Lecture 14: Introduction to Matrices (October 26 and 28)
Lecture 15: Using Matrices to Analyse Linear Equations (November 2)
Lecture 16: Solving Linear Equations: Methylation Levels (November 2 and 4)
Lecture 17: Solving Linear Equations: Red Blood Cell Count (November 4)
Lecture 18: Solving Linear Equations: Introduction to Demography (November 9 and 16)
Lecture 19: Analysing Non-Linear Equations: Lotka-Volterra Model of Competition (November 18)
Lecture 20: Local Stability Analysis: Lotka-Volterra Model of Competition (November 18 and 23)
Lecture 21: Analysing Non-Linear Equations: Spread of Disease (November 25)
Lecture 22: Introduction to Probability Theory (November 25 and 30)
Lecture 23: Discrete Probability Distributions (November 30)
Lecture 24: Probability Theory: The Coalescent Process (Example)
Lecture 25: Continuous Probability Distributions (December 2)
Lecture 26: Probability Theory: Fixation Probability (Example)
PRELIMINARY PROJECT (preliminary question and equations or diagram) DUE November 25
FINAL PROJECT DUE December 2
EXAMS December 7-21
Note: Schedule is tentative and subject to change.
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