The Laplace transform provides an effective and easy means for solving many problems in the fields of science and engineering. This introductory course presents the theory and applications of this transform. Early sections of the course explain the Laplace transform and its inverse, essential properties, methods for evaluation and numerical algorithms. Later sections are dedicated to applications of the Laplace transform, as it is one of the main tools available for solving differential equations. These topics are typically found in university courses on applied mathematics and electrical engineering. Print and ebook versions of this material are available as part of the Wolfram eTextbook Series. Wolfram AI Course Assistant is available for this interactive course.
Requirements: This course requires knowledge of single-variable calculus and differential equations.
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