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