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MATH 122 - 2011/12
Calculus for Life Sciences, Biology, and Biochemistry
Topic List by Week
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Topics
Discrete-Time Dynamical Systems
Cobwebbing, Equilibria, Exponentials and Logarithms
Lung Model, Stability of Equilibria
Review of Derivatives
Trig Functions, Optimization
Optimization, Linear Approximations, Taylor Polynomials
Newton’s Method, Limits at ∞, L’Hopital’s Rule, Leading Behaviour
Stability, Logistic Model, Breathing Reprise
Differential Equations, Anti-Derivatives, Integration by Substitution
Integration by Parts, Definition and Application of Integrals
Integral Applications, Improper Integrals
Convergence and Applications of Improper Integrals
December Break
Autonomous Differential Equations, Equilibria
Stability, Solving Autonomous DEs
Functions of Two Variables
Level Curves, Partial Derivatives
Tangent Planes, Functions of Many Variables, and Vectors in R2 and R3
Directional Derivatives and the Gradient; the Chain Rule
Higher Partial Derivatives, and Optimization
Probabilistic Models, Diffusion and Genetics
Probability Theory, Conditional Probability, Bayes’ Theorem, Independence
PDFs and CDFs, Measures of Center and Spread
Statistics for Spread; Binomial Distribution
Poisson Distribution; Probability Applications