Publication

Differential equations, an interdisciplinary model!

Daniel Thalmann, Nadia Magnenat-Thalmann
1978
Journal Articles

Abstract

A new way of teaching differential equations with interdisciplinary models and a computer is presented. The models are taken from physics, chemistry and biology. Students work at the computer in interactive use. They have the choice of the values of different parameters and can analyse the results on a graphical display unit or a digital graph plotter. Three applications are described: projectiles, chemical kinetics and interspecific animal competition

Official source

https://infoscience.epfl.ch/entities/publication/552519f9-1ba4-40ac-8432-014ffdd8433b

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Daniel Thalmann, Nadia Magnenat-Thalmann
1978
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/552519f9-1ba4-40ac-8432-014ffdd8433b

About this result

Related concepts (32)

Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

Ordinary differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown(s) consists of one (or more) function(s) and involves the derivatives of those functions. The term "ordinary" is used in contrast with partial differential equations which may be with respect to one independent variable. A linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form where a_0(x), .

Computer

A computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations (computation) automatically. Modern digital electronic computers can perform generic sets of operations known as programs. These programs enable computers to perform a wide range of tasks. A computer system is a nominally complete computer that includes the hardware, operating system (main software), and peripheral equipment needed and used for full operation.

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Differential equations, an interdisciplinary model!

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