By the end of the course, you will be able to
formulate questions about real-world problems and create partial differential equations models to answer them
solve partial differential equations using analytical, numerical, and qualitative techniques
identify similarities between waves in real-world problems and solutions of partial differential equations
draw conclusions about real-world problems from partial differential equation models
support, justify, and communicate your conclusions accurately, clearly, and concisely
Partial differential equations are an exciting tool: they help us learn more about the world around us and gain insights into many natural and technologies processes. Real-world applications of partial differential equations range from cancer research, climate modeling, and morphogenesis to aircraft design, option pricing, and visual-effects animations in movie productions.
Cancer growth
Climate and weather models
Visual effects