MA 3710 - Mathematical Biology

• Interpret biological assumptions in terms of mathematical equations
• Construct mathematical models to illustrate a biological processes
• Write computer simulations for a biological model
• Analyze a model numerically and graphically
• Find equilibria of system of equations
• Perform local stability analysis
• Solve counting problems involving the addition and multiplication rules, permutations, and combinations
• Compute probability of discrete events

• Know the techniques of limits, differentiation, and integration
• Be able to determine the solution of first-order differential equations by the method of separation of variables
• Be able to determine appropriate integrating factors for first-order linear differential equations
• Be able to apply and solve first-order differential equations of selected applications

• Introduction to Mathematical Biology (1 class)
• Constructing a model (2 classes)
• Exponential and Logistic Growth (2 classes)
• Population-genetic models (2 classes)
• Models of interaction among species (1 class)
• Epidemiological models of disease spread ( 1 class)
• Matlab Review (1 class)
• Numerical and graphical techniques (2 classes)
• Finding equilibrium (1 class)
• Performing local stability analysis: one variable model (2 classes)
• Finding an approximate equilibrium ( 1 class)
• Matrices, Eigenvalues, Eigenvectors ( 1 class)
• Performing local stability analysis: Non-linear models with multiple variables (2 classes)
• Counting principles: Addition and Multiplication Rules (1 class)
• Permutations (1 class)
• Combinations (1 class)
• Arrangements with repetitions (1 class)
• Probability ( 1 class)
• Conditional probability and independence of events ( 1 class)
• Exams (3 classes)
• Review ( 2 classes)