Differentiation I

Learn how to calculate the gradient of a straight line from first principles

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Differentiation II

Learn how to differentiate a function using the definition of a derivative

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Differentiation III

Introduction of the general rules of differentiation

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Integration

Introduction of the principles of integration

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Ordinary differential equations

What is an ordinary differential equation? Using population growth as an example

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Equilibrium states of ODEs

Learn what an equilibrium state of an ODE is, using population growth with carrying capacity as an example

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Numerical integration I

What is numerical integration : the Euler method

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Numerical integration II

Numerical integration using deSolve and RK methods

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Systems of ODEs

The predator-prey model as an introduction to systems of ODEs

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Summary

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