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Lecture 1: Introduction. (January 6)
Lecture 2: Mathematica notation. (January 6)
Lecture 3: Constructing a model. (January 8)
Lecture 4: One variable Models: Exponential growth. (January 8 and 13)
Lecture 5: One variable Models: Logistic growth. (January 13)
Lecture 6: One variable Models: Selection. (January 15)
Lecture 7: Methods of Analysis. I. Graphing. (January 20)
Lecture 8: Methods of Analysis. II. Equilibria. (January 22)
Lecture 9: Methods of Analysis. III. Stability (Local). (January 27 and 29)
Lecture 10: Methods of Analysis. III. Stability (Global). (January 29)
Lecture 11: Methods of Analysis. IV. General Solutions. (February 3)
Lecture 12: Applications of Theory (February 3 and February 5)
Lecture 13: Putting all this together -- Methylation Levels (February 5)
EXAMPLES & REVIEW (February 10)
MIDTERM (February 12)
BREAK (February 16-20)
Lecture 14: Introduction to Matrices (February 24 and 26)
Lecture 15: Using Matrices to Analyse Linear Equations (March 3)
Lecture 16: Solving Linear Equations: Methylation Levels (March 3 and 5)
Lecture 17: Solving Linear Equations: Red Blood Cell Count (March 5)
Lecture 18: Solving Linear Equations: Introduction to Demography (March 10 and 12)
Lecture 19: Analysing Non-Linear Equations: Lotka-Volterra Model of Competition (March 17)
Lecture 20: Local Stability Analysis: Lotka-Volterra Model of Competition (March 17 and 19)
Lecture 21: Analysing Non-Linear Equations: Spread of Disease (March 24)
Lecture 22: Introduction to Probability Theory (March 24 and March 26)
Lecture 23: Discrete Probability Distributions (March 26)
Lecture 24: Probability Theory: The Coalescent Process (March 31)
Lecture 25: Continuous Probability Distributions (March 31 and April 2)
Lecture 26: Probability Theory: Fixation Probability (April 2)
PRELIMINARY PROJECT (preliminary question and equations or diagram) DUE March 31
FINAL PROJECT DUE April 7
EXAMPLES & REVIEW April 7
EXAMS April 14-28
Note: Schedule is tentative and subject to change.
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