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Using Calculus to Model Epidemics
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algebra antiderivative apply basic calculus Chain Rule change of variable circle compute constant coordinates Cos[x curve derivative differential equation disease distance dx dx dx dynamical system epidemic error Euler's method example Exercise explicit exponential function expression Extreme Value Theorem Figure finite formula function geometric gives graph high school hyperreal implicit differentiation important increment approximation infectious infinitely infinitesimal initial value problem integral interval length limit linear Log[x logs and exponentials look magnified Mathematica NoteBook Mathematical Background Chapter microscopic view nonlinear parameters parametric equations perpendicular plane plot position vector Product Rule Projects proof Pythagorean Theorem radius rate of change real number rubella says scalar simple Sin[x sine and cosine sketch slope smooth solution solve speed Superposition susceptible symbolic tangent temperature Theorem write