Download the detailed syllabus PDF here. Check the section-wise topics, exam pattern, preparation strategy, and best books.

Using concepts students are already familiar with — like how bottles vibrate — can serve as a helpful anchor for more complex topics.

Work with experts to tackle some of the biggest ideas in science and expand your understanding of advanced mathematical tools. Apply now for 2026 entry or join us on a discovery afternoon to see where ...

In the Fall I'll be starting teaching again, after a semester away on sabbatical and then enjoying teaching relief during my first semester at Penn. I'll be teaching a course that I truly love, and ...

In one of David Lodge's comic novels about academia, the English-professor characters play a game called "Humiliation," where they take turns admitting classic works of literature that they haven't ...

THIS “Introduction to Vector-methods and their Various Applications to Physics and Mathematics” is an exposition of the late Willard Gibbs' vector analysis. The author in his preface warns us that “no ...

The opening years of the twenty-first century have been remarkable ones for the mathematical sciences. Major breakthroughs have been made on fundamental research problems. The ongoing trend for the ...

THE application of physico-mathematical methods to biology has been advocated now and again by scientific workers; but until recently no systematic attempt to create a mathematical biology has been ...

OpenAI's GPT-5.2 has derived a new formula for gluon interactions, overturning assumptions of zero amplitude and advancing theoretical physics.