November 2013
Intermediate to advanced
576 pages
22h 37m
English
book
Applied Calculus 5th Edition
by Deborah Hughes-Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, David Lovelock, Douglas Quinney, Eric Connally, Guadalupe I. Lonzano, Karen R. Rhea, Selin Kalaycýoðlu, William G. McCallum, Adam H. Speigler, Brigitte Lahme, Brad G. Osgood
Content preview from Applied Calculus 5th Edition
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Chapter Nine
MATHEMATICAL MODELING USING DIFFERENTIAL EQUATIONS
Contents
9.1 Mathematical Modeling: Setting up a Differential Equation
The Quantity of a Drug in the Body
9.2 Solutions of Differential Equations
Another Look at Marine Harvesting
General Solutions and Particular Solutions
Existence and Uniqueness of Solutions
9.4 Exponential Growth and Decay
Continuously Compounded Interest
The Quantity of a Drug in the Body
The Quantity of a Drug in the Body
Newton's Law of Heating and Cooling
9.6 Modeling the Interaction of Two Populations
A Predator-Prey Model: Robins and Worms
The Slope Field and Equilibrium Points
Trajectories in the wr-Phase Plane
Other Forms of Species Interaction
9.7 Modeling the Spread of a Disease
Flu in a British Boarding School
PROJECTS: Harvesting and Logistic Growth, Population Genetics, The Spread of SARS
9.1 MATHEMATICAL MODELING: SETTING ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.