Topics in Applied Mathematics and Nonlinear Waves

TL;DR

This course-based text covers core topics in applied mathematics and nonlinear waves, integrating theory and computational projects, and has been used at the Arctic University of Norway since the 1970s.

Contribution

It provides a comprehensive, semester-long curriculum on applied mathematics and nonlinear waves, combining theoretical insights with practical computational projects.

Findings

Effective semester-long course structure

Integration of theory and computational exercises

Long-standing educational resource since 1970s

Abstract

The selection of topics in this text has formed the core of a one semester course in applied mathematics at the Arctic University of Norway that has been running continuously since the 1970s. The class has, during its existence, drawn participants from both applied mathematics and physics, and also to some extent from pure mathematics, analysis in particular. The material in these lecture notes can be covered by one semester's worth of five lecture hours a week. The work requirements for the students consists of seven obligatory projects whose content are taken from exercises and computational projects included in the text.