The course follows the development of ideas approximately in the historical sequence. After looking over the first recorded real mathematics, that of the Babylonians, we review some of the Greek contributions to math and science, which were essential to both Galileo and Einstein in their work. We shall prove—and find very useful—Pythagoras’ theorem, and a few other ideas about triangles. We'll also look at Greek ideas about the Solar System, and how they measured the distance to the Moon quite accurately (using the ideas about triangles!). We will examine how these ideas reached western Europe by way of the Arab world.
We'll do some of Galileo’s actual experiments that led to understanding motions of projectiles, and show how Newton connected these results with the motion of the Moon, and then to all the planets. Next, we'll examine the nature of light, for this is what led Einstein to question the traditional concepts of space and time. Finally, we'll develop the theory of Special Relativity, including time dilation, relativistic mass increase, and E = mc2.
“Modern” physics means physics based on the two major breakthroughs of the early the twentieth century: relativity and quantum mechanics. Physics based on what was known before then (Newton’s laws, Maxwell’s equations, thermodynamics) is called “classical” physics. This course traces in some detail just how the new ideas developed. We examine the experimental and theoretical paradoxes that forced thinking out of the traditional path. This is a valuable exercise—the classical ideas are in much better accord with common sense (defined by Einstein as the layer of prejudices in place by age eighteen), so seeing how the new physics came about is helpful in overcoming that “common sense” and getting a better understanding of nature. But this is not just a course on concepts: the lectures and homework are sufficient to give the student a basic technical grasp of special relativity, and of Schrödinger’s quantum mechanics.
This grab bag of physics topics formed the second semester of our four-semester introductory physics course designed for physics majors. I've also added material which isn't in the standard textbooks, especially on fluids, to give a more complete picture.
These will open in .pdf: to get the actual PowerPoint files, after opening change .pdf to .pptx