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Modeling drug concentration Finding recurrence relations Fixed points of sequences
Section 2.1 #38 (modified) - Insulin Injection
From Carl Corcoran
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Surge function drug model L'Hopital's rule How parameter values affect graphs
Section 4.3 #54 - Drug Pharmacokinetics
From Carl Corcoran
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Surge function model of drug concentration First and Second derivatives, maxima, and inflection points Typo: text in the video says "pharmokinetics" where it…
Chapter 4 Review #16: Drug Pharmacokinetics
From Carl Corcoran
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Writing a recursive relation; plotting the resulting sequence; adjusting parameters and observing effects; spreadsheet tricks
Section 1.6 Prob 34
From Jeffrey Nichols
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Plotting data, concavity, estimating first and second derivatives from data
Section 4.2 Prob 10
From Jeffrey Nichols
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Finding global extrema on a restricted domain for a disease model
Section 4.1 Prob 57
From Jeffrey Nichols
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Taking a derivative using the product rule, chain rule, and the derivative of the natural logarithm.
Section 3.7 Prob 30: Genetic Drift
From Alexander Meyer
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Population Growth Logistic Functions Chain Rule, Limits at Infinity
Chapter 3 Review #86 - Yeast Population
From Carl Corcoran
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Chain rule with multiple functions Interpreting derivatives
Section 3.5 #56 - Oral Antibiotics
From Carl Corcoran
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Using the quotient rule to study how pupil area responds to changes in light intensity.
Section 3.4 Prob 58: Sensitivity of the eye to…
From Alexander Meyer
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Related rates problem -- finding rate of change of volume for a gas expanding (adiabatically) given volume, pressure, and of change of pressure.
Section 3.5 Prob 88: Adiabatic Gas Expansion
From Alexander Meyer
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Calculating rate of change of mass of a fish using a model for how length varies with age.
Section 3.5 Prob 90: von Bertalanffy revisited
From Alexander Meyer
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Biological intuition for what derivatives tell us about population growth.
Section 3.1 Prob 38: Bacterial Growth
From Alexander Meyer
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Estimating the value of the derivative from a table of function values from malarial parasite population data
Section 3.2 #35 - Malarial Parasites (Estimating…
From Carl Corcoran
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Two examples of sketching a function based on conditions on function values, limits, asymptotes, and other properties.
Section 2.3 #12 and #16 - Sketching Functions…
From Carl Corcoran
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