Crack the Code of Math with an Algebra Maestro

On August 8, 2025, Shivani provided a comprehensive physics and chemistry lesson to a student from Baylor University. The lesson delved into advanced topics like relativity, covering time dilation and length contraction, as well as momentum, energy, atomic structure, and quantum mechanics. Shivani emphasized developing a strong conceptual understanding and mastering formula application, which was essential for the student to grasp challenging problems. The lesson also included detailed calculations involving spaceships, particle accelerators, Planck's constant, the Bohr model, and orbital angular momentum.

For Zara's physics final, Shivani led a review focusing on optics, covering refraction, lenses, and telescopes. They worked through quantitative problems related to focal length, image distance, and magnification. The pair agreed to continue their physics review the following evening.

Shivani tutored Shreyan on the concept of electric fields, including calculations using Coulomb's law and the principle of superposition. Shreyan practiced problems involving finding the net electric field due to multiple charges, with a focus on resolving vectors into components. Shreyan will send Shivani his syllabus PowerPoints via email for future lesson planning, and they will begin discussing electric potential in the next session.

Shreyan and Shivani reviewed Coulomb's Law and electrostatic forces. Shivani explains the concepts and formula, including shell theorems and superposition. They then worked through example problems, calculating electrostatic forces between multiple charges, focusing on direction, magnitude, and unit conversions. Shivani provides practice problems and plans to cover more complex scenarios later.

Shivani Gupta tutored Zara Khandwalla, focusing on electromagnetic waves and circuit analysis, including calculations involving wavelength, frequency, magnetic fields, and application of Kirchhoff's Voltage Law. Zara practiced applying formulas and solving circuit problems. They also briefly reviewed Ohm's Law and resistor combinations. Zara will review the concepts and text Shivani to schedule their final review.

Shivani tutored Zara on various physics topics, including capacitors, resistor circuits, power calculations, Kirchhoff's Laws, and magnetic fields. Zara practiced applying formulas and analyzing circuits, with Shivani providing guidance and explanations. They scheduled another session for later in the evening to continue working through practice problems, particularly those involving circuit analysis and KVL.