# Teaching

### Physics 101: Order-of-Magnitude Physics

In Spring 2023, I will be the TA for Physics 101: Order-of-Magnitude Physics (instructor: Sterl Phinney).

### Physics 1b: Electromagnetism (Practical)

In Winter 2023, I was one of the TAs for the practical track of the Caltech course Physics 1b: Electromagnetism (instructor: Gil Refael). My recitation notes can be found below:

• 9 March 2023: “Down to the Wire”
• A short practice problem on calculating the magnetic field outside of a solenoid at various distances.
• 2 March 2023: “Field Day”
• Assorted Maxwell’s problems which are seemingly different but fundamentally very similar.
• 23 February 2023: “Magnetic Personality”
• An introduction to magnetism, including a problem which is solved using magnetic monopoles.
• 16 February 2023: “Charged Up”
• A practice problem on solving for the time dependence of a linear circuit.
• 2 & 9 February 2023: “The Circuit of Life”
• Notes about visualizing linear circuits as streams and waterfalls.
• 26 January 2023: “No Flux Given”
• Four practice problems on Gauss’s law and dipoles.
• 19 January 2023: “A Nightmare on Elm Sheet”
• A practice problem calculating the electric field due to a uniform plane charge, first using Coulomb’s law and then using Gauss’s law.
• 12 January 2023: “Electromagnetism and Estimation”
• Very broad overviews of electromagnetism and order-of-magnitude estimation, and why to study them.

### Physics 2a: Vibrations and Waves

In Fall 2022, I was one of the TAs for the Caltech course Physics 2a: Vibrations and Waves (instructor: Sergi Hildebrandt). My recitation notes can be found below:

• 2 December 2022: “Daunting Uncertainty”
• Some notes about the basic ideas of quantum mechanics, first in the context of a two-state system and then in the context of a particle in an infinite well potential.
• 30 November 2022: “Smile and Wave”
• Some practice problems on deriving the phase and group velocities, and calculating them in different physical systems.
• 18 November 2022: “Setting the Record Straight”
• Some notes using diffraction in the paraxial approximation to explain why light travels in straight lines, even though it is actually a wave.
• 16 November 2022: “Getting Tense”
• A practice problem explaining the circumstances under oscillations on a string with varying tension behave similarly to oscillations on a string with constant tension.
• 11 November 2022: “Act or Diffract”
• A practice problem about the diffraction patterns due to two thin slits, due to one finite-size slit, both in the Fraunhofer limit.
• 9 November 2022: “String Theory”
• A problem on deriving and then solving the wave equation for the transverse oscillations of a string, on the energy stored in the oscillations, and the decomposition of general oscillations into separable ones.
• 4 November 2022: “The Ultimate Spring Problem”
• A problem on deriving and then solving the wave equation for a series of springs.
• 2 November 2022: “Do the Diagonal Shuffle”
• Notes on solving systems of linear differential equations using linear algebra, and a practice problem on many “small” springs coupled to a “big” spring.
• 28 October 2022: “Use the Central Force”
• Practice problems involving finding the epicyclic frequencies of various central force potentials, including applications to gravity.
• 26 October 2022: “Duck Tales”
• Some notes and practice problems related to damped harmonic oscillation in a “rubber duck” toy problem, as well as in RLC circuits.
• 21 October 2022: “Breath of Fresh Air”
• A practice problem which uses a combination of dimensional analysis and coupled oscillation to understand why carbon dioxide scatters infrared light.
• 19 October 2022: “Swing Dance”
• A forced double pendulum problem which models a child kicking their feet on a swing set.
• 12–14 October 2022: “Impedance is Futile”
• Notes on using the complex impedance to solve problems in linear circuits, and some example problems involving filtering in circuits.
• 7 October 2022: “The Answer to Everything is One”
• Some practice problems involving guessing the answers to problems across physics using only dimensional analysis.
• 5 October 2022: “Supernatural Precession”
• A practice problem involving the “effective potential” orbit problem in both Newtonian mechanics and general relativity.
• 30 September 2022: “Wired and Loopy”
• A practice problem involving the equilibria of a bead on a rotating wire loop under the influence of gravity.

### Beginner’s Guide to the Universe

The Beginner’s Guide to the Universe is a 2-unit course at UC Berkeley that I founded in 2019 along with Shashank and Shishir Dholakia. It aims to introduce physics/astrophysics non-majors to overarching themes and discoveries in physics, with each week covering a different field of physics.

Basically, my vision for the class is that, one day, our student will pick up a newspaper and see a popular science headline about a new discovery, and have a broad idea of what it is, why it’s important, and what to be skeptical about.

Yonna Kim, who joined the team during the Spring 2020 semester, contributed heavily to the course’s continued development. This course is registered under the course number Astronomy 98. The Beginner’s Guide to the Universe is affiliated with Democratic Education at Cal (DeCal). The syllabus for the first time that I ever taught this course can be found here.