Noah Graham

Electricity and Magnetism
The physical principles of electricity and magnetism are developed with calculus and applied to the electrical structure of matter and the electromagnetic nature of light. Practical topics from electricity and magnetism include voltage, current, resistance, capacitance, inductance, and AC and DC circuits. Laboratory work includes an introduction to electronics and to important instruments such as the oscilloscope. (PHYS 0109, MATH 0122) 3 hrs. lect./3 hrs. lab.

Electricity and Magnetism
The physical principles of electricity and magnetism are developed with calculus and applied to the electrical structure of matter and the electromagnetic nature of light. Practical topics from electricity and magnetism include voltage, current, resistance, capacitance, inductance, and AC and DC circuits. Laboratory work includes an introduction to electronics and to important instruments such as the oscilloscope. (PHYS 0108 or 0109 and MATH 0122) Students may not receive credit for both PHYS 0110 and PHYS 0114. 3 hrs. lect./3 hrs. lab.

Applied Mathematics for the Physical Sciences
This course concentrates on the methods of applied mathematics used for treating the partial differential equations that commonly arise in physics, chemistry, and engineering. Topics include differential vector calculus, Fourier series, and other orthogonal function sets. Emphasis will be given to physical applications of the mathematics. This course is a prerequisite for all 0300- and 0400-level physics courses. (MATH 0122; PHYS 0110 concurrent or prior) 4.5 hrs. lect.

Waves and Fourier Analysis
Wave mechanics provides our most fundamental description of all known forms of matter, radiation, and their interactions. In this course we will develop the physics of oscillations and waves and the associated mathematics of Fourier series and transforms, orthogonal functions, and solutions of ordinary and partial differential equations, focusing especially on solutions of initial and boundary value problems by separation of variables in Cartesian, cylindrical and spherical coordinates. (PHYS 0109 or PHYS 0108 and PHYS 0111 or PHYS 0114 and MATH 0122) Students may not receive credit for both PHYS 0212 and PHYS 0216. 4.5 hrs. lect.

Statistical Mechanics
This course is a study of statistical mechanics and its applications to a variety of classical and quantum systems. It includes a discussion of microstates, macrostates, and entropy, and systematically introduces the microcanonical, canonical, grand canonical, and isobaric ensembles. This underlying theory is applied to topics including classical thermodynamics, the equipartition theorem, electromagnetic blackbody radiation, heat capacities of solids, and ideal classical and quantum gases, with a focus on Bose-Einstein condensation and degenerate Fermi systems. (PHYS 0202 or PHYS 0218) 3 hrs. lect./1 hr. disc.

General Relativity
Among the forces of nature, gravity is both the most familiar and the least well-understood. A hundred years after it was formulated by Einstein, General Relativity remains our best fundamental theory of gravity. In this course we will see how gravity emerges from the geometry of curved spacetime and how this picture leads to phenomena such as black holes, gravitational waves, and the expansion of the universe. (MATH 0200 and PHYS 0214 and PHYS 0216) 3 hrs. lect.

Quantum Mechanics
A fundamental course in quantum mechanics aimed at understanding the mathematical structure of the theory and its application to physical phenomena at the atomic and nuclear levels. Topics include the basic postulates of quantum mechanics, operator formalism, Schrödinger equation, one-dimensional and central potentials, angular momentum and spin, perturbation theory, and systems of identical particles. (PHYS 0202 and PHYS 0212; MATH 0200 recommended) 3 hrs. lect.