en:ecovirt:roteiro:math:roteiros
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en:ecovirt:roteiro:math:roteiros [2022/09/15 15:22] adalardo [Integral and Differential Calculus] |
en:ecovirt:roteiro:math:roteiros [2022/09/15 15:28] (current) adalardo [Integral and Differential Calculus] |
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| Here you find that the exponential function is the limit of a discrete growth at a constant rate, when we make the time intervals very small. For this, we will go through the concept of derivatives and the notion of limit of a function. | Here you find that the exponential function is the limit of a discrete growth at a constant rate, when we make the time intervals very small. For this, we will go through the concept of derivatives and the notion of limit of a function. | ||
| + | * [[en:ecovirt:roteiro:math:exponencial|Growth rates, derivatives and exponential function]] | ||
| - | * [[en:ecovirt:tutorial:math:exponential|Growth rates, derivatives and exponential function]] | ||
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| Know the integral, inverse derivative operation. Learn the difference between definite and indefinite integrals. | Know the integral, inverse derivative operation. Learn the difference between definite and indefinite integrals. | ||
| - | * [[en:ecovirt:tutorial:math:integralr|Antiderivatives and definite integral]] | + | * [[en:ecovirt:roteiro:math:integralr|Antiderivatives and definite integral]] |
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| A differential equation is a relationship between the derivative of a function and some other mathematical function. Understand how these equations can be proposed and solved. | A differential equation is a relationship between the derivative of a function and some other mathematical function. Understand how these equations can be proposed and solved. | ||
| - | * [[en:ecovirt:tutorial:math:eq_difr|Introduction to differential equations]] | + | * [[en:ecovirt:roteiro:math:eq_difr|Introduction to differential equations]] |
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| Tutorials to solve differential equations with the help of computer programs. Computational numerical integration is the basic tool for mathematical modeling in biology. | Tutorials to solve differential equations with the help of computer programs. Computational numerical integration is the basic tool for mathematical modeling in biology. | ||
| - | * [[en:ecovirt:tutorial:math:numeric_int_ipython|Numerical integration of differential equations]] | + | * [[en:ecovirt:roteiro:math:numeric_int_ipython|Numerical integration of differential equations]] |
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| Does an ecological dynamic tend to a state of equilibrium? Does this equilibrium resist disturbances? Here's how to answer these questions with the help of calculus. | Does an ecological dynamic tend to a state of equilibrium? Does this equilibrium resist disturbances? Here's how to answer these questions with the help of calculus. | ||
| - | * [[en:ecovirt:tutorial:math:stabilitysage|Stability analysis]] | + | * [[en:ecovirt:roteiro:math:stabilitysage|Stability analysis]] |
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