APMTH 111: Introduction to Scientific Computing

In the modern world, computing is at the very heart of scientific research. In this course, we introduce the fundamental concepts of scientific computing as applied to physics, chemistry, biology and other subjects, balancing fundamental understanding with practical skills and hands-on experience. At the end of this course you will be able to identify scientific problems where a numerical approach is necessary and propose strategies for solving them. You will be able to design and implement linear algebra, interpolation, root-finding and quadrature algorithms and understand how to solve ordinary and simple partial differential equations numerically. You will be able to write code that creates beautiful fractal images, computes the motion of astronomical objects, figures out the evolution of predator and prey populations in an ecosystem, calculates web page rankings like Google Search does, and much, much more.