Mathematical methods and special functions have long served as the backbone of modern theoretical physics and applied mathematics. These tools enable researchers to solve complex differential ...

Numbers like pi, e and phi often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

In future, our society will recognize greater scientific, social, and economic value in abstract mathematical concepts, logical structures, and the indefinite perception and experience of human beings ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus. Formulas for ...

Mathematics is one of the oldest disciplines of study. For all its antiquity, however, it is a modern, rapidly growing field. Only 70 years ago, mathematics might have been said to consist of algebra, ...

Ever better experimental techniques allow us to perform experiments under tightly controlled conditions and can deliver gigantic amounts of data reflecting the complexity of biology. This has vastly ...

More than 70 years ago, researchers at the forefront of artificial intelligence research introduced neural networks as a revolutionary way to think about how the brain works. In the human brain, ...

The information presented here is intended to describe the course goals for current and prospective students as well as others who are interested in our courses. It is not intended to replace the ...