Linked below are some of my academic notes from freshman and sophomore year. All were prepared for personal use and are nowhere near exhaustive. Nothing is guaranteed to be correct.
Mathematics
Columbia UN1208 (Honors Mathematics B)
Calculus, Apostol
Columbia GU4062 (Modern Analysis II)
Principles of Mathematical Analysis, Rudin and Analysis II, Tao
Columbia GU4155 (Probability Theory)Â
Lecture notes, Walsh, Norris, Williams, and others
Columbia GU4042 (Modern Algebra II)
Lecture notes
Advanced Probability (Stochastic Calculus)
Complex Analysis and Riemann Surfaces
Elliptic PDE
Algebraic Curves
Physics
Introductory Quantum Mechanics
Columbia UN2802 (Accelerated Physics II)
An Introduction to Quantum Physics, French and Taylor
Columbia GU4021 (Quantum Mechanics I)
Quantum Mechanics, Griffiths
Columbia GU4022 (Quantum Mechanics II)
Modern Quantum Mechanics, J.J. Sakurai
Columbia UN3007 (Electricity and Magnetism)
Introduction to Electrodynamics, Griffiths
Columbia UN3008 (Electromagnetic Waves and Optics)
Introduction to Electrodynamics, Griffiths