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

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

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 ...

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 ...

Mathematical methods courses have long been a fixture of physics departments, but they are rare in chemistry departments. Only a handful of chemistry departments offer them. The departments that do ...

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