
Lecture 1: Introduction. (September 7)
Lecture 2: Mathematica notation. (September 7)
Lecture 3: Constructing a model. (September 12)
Lecture 4: One variable Models: Exponential growth. (September 12 and 15)
Lecture 5: One variable Models: Logistic growth. (September 14)
Lecture 6: One variable Models: Selection. (September 19)
Lecture 7: Methods of Analysis. I. Graphing. (September 21)
Lecture 8: Methods of Analysis. II. Equilibria. (September 26)
Lecture 9: Methods of Analysis. III. Stability (Local). (Sept. 28 and Oct. 3)
Lecture 10: Methods of Analysis. III. Stability (Global). (October 3)
Lecture 11: Methods of Analysis. IV. General Solutions. (October 5)
Lecture 12: Applications of Theory (October 5 and 10)
Lecture 13: Putting all this together  Methylation Levels (October 10)
EXAMPLES & REVIEW (October 12)
MIDTERM (October 17)
Lecture 14: Introduction to Matrices (October 19 and 24)
Lecture 15: Using Matrices to Analyse Linear Equations (October 26)
Lecture 16: Solving Linear Equations: Methylation Levels (October 26 and 31)
Lecture 17: Solving Linear Equations: Red Blood Cell Count (October 31)
Lecture 18: Solving Linear Equations: Introduction to Demography (November 2 and 7)
Lecture 19: Analysing NonLinear Equations: LotkaVolterra Model of Competition (November 9)
Lecture 20: Local Stability Analysis: LotkaVolterra Model of Competition (November 14)
Lecture 21: Analysing NonLinear Equations: Spread of Disease (November 16)
Lecture 22: Introduction to Probability Theory (November 21)
Lecture 23: Discrete Probability Distributions (November 23)
PRELIMINARY PROJECT (preliminary question and equations or diagram) DUE November 23
Lecture 24: Probability Theory: The Coalescent Process (Example)
Lecture 25: Continuous Probability Distributions (November 28)
Lecture 26: Probability Theory: Fixation Probability (Example)
EXAMPLES & REVIEW November 30
FINAL PROJECT DUE November 30
EXAMS December 520
Note: Schedule is tentative and subject to change.
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