Unit 1. Descriptive statistics. Basic descriptive statistics
Bivariate data and linear regression
Exponential and logarithmic functions
Unit 2. Discrete time modeling. Sequences and discrete difference equations
Long-term dynamics or equilibrium
Leslie Matrix models and Eigenvalues
Unit 3. Probability. Probability of events
Probability of compound events
Population genetics models
Unit 4. Limits and continuity. Limits of functions
Limits of continuous functions
Unit 5. Derivatives. Rates of change
Using derivatives to find maxima and minima
Unit 6. Integration. Estimating the area under a curve
Antiderivatives and the fundamental theorem of calculus
Applications of integrals to area and volume
Probability in a continuous context
Unit 7. Introduction to differential equations. Separation of variables
Equilibria and limited population growth
Implicit differentiation and related rates.
