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RELEASE NAME....: Pluralsight.com.Applying.Differential.Equations.and.Inverse.Models.with.R-ELOHiM
RELEASE DATE....: 2020-05-10
RELEASE SIZE....: 15x15Mb
FORMAT..........: Bookware
LANGUAGE........: English
URL.............: https://www.pluralsight.com/courses/applying-differential-equations-inverse-models-r
Differential equations are a topic rich in history - several
important results date back to the 18th and 19th centuries - but
their importance is not confined to the history books:
Differential equations still have wide and varied applications:
did you know, for instance, that the famous S-curve, which we
often find using logistic regression, can also be obtained by
solving a differential equation? Likewise, the Black Scholes
Equation which lies at the foundation of modern quantitative
finance can be solved conveniently by conversion to the heat
equation.
In this course, Applying Differential Equations and Inverse
Models in R, you will explore a wide variety of differential
equations, as well as an unrelated technique known as inverse
modeling, and learn how you can apply these techniques using the
R programming language.
First, you will learn how many different physical, chemical, and
financial phenomena can be modeled using Differential Equations.
You will see how population growth, the spread of infectious
diseases, the pricing of complex financial derivatives, and the
equilibrium in a chemical reaction can all be modeled using
Differential Equations.
Next, you will discover how different types of differential
equations are modeled and solved numerically. You will see how a
mix of algebraic and differential equations forms a system known
as a DAE, or Differential Algebraic Equation; and how a
time-varying relationship between the dependent and independent
variables can be modeled using Delay Differential Equations.
Finally, you will explore how initial as well as boundary value
differential equations. You will see how the temperature varies
with time in a rod that is being heated by a heat source, has one
end insulated, and has the other end exposed to the atmosphere.
You might find this use-case arcane, but this is the famous
diffusion equation, which is also the basis of the Black-Scholes
PDE from quant finance. You will round off this course of by
understanding even-determined, under-determined, and
over-determined systems, and working with such systems using R
programmingá
When youÆre finished with this course, you will have the skills
and knowledge to apply a variety of numerical procedures to solve
differential equations using the R programming language.
Level: Intermediate
Released: May 01, 2020
Duration: 2h 23m