Posts
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Rolling Down the Yield Curve: Horizon Return, Carry, and Risk [CFA Level 2 Notes #4]
Learn how bond roll-down return is calculated from a horizon price, how it differs from carry, and why curve, duration, convexity, credit, and liquidity risks matter.
9 min read -
How to Use These CFA Level I Study Notes
A reader-first guide to the scope, topic map, study method, provenance, and limits of this archived CFA Level I notes series.
6 min read -
Special Relativity: Postulates, Spacetime, and a Roadmap
Start special relativity from its two postulates, then connect Lorentz transformations to simultaneity, time dilation, length contraction, spacetime intervals, and causality.
8 min read -
Capital Markets and Financial Assets: Stocks, Bonds, Underwriting, and Funds
A practical map of primary and secondary markets, underwriting, stock and bond rights, convertible securities, and open- and closed-end funds—with the product-specific exceptions that the simple classroom version leaves out.
13 min read -
Corporate Finance: Investment, Financing, Payout, and Governance [Corporate Finance I Studied #1]
A practical introduction to corporate finance: how firms evaluate investments, choose funding, manage liquidity, return cash, and govern conflicts of interest.
8 min read -
IPOs, Private Placements, and Order Types [Basic Investing I Studied #3]
A source-grounded guide to IPO registration, bookbuilding and allocations, private placements, broker-dealer capacity, and market, limit, and stop orders.
11 min read -
Stock Market Indices [Basic Investing I Studied #2]
A practical guide to how the Dow, S&P 500, Nasdaq Composite, KOSPI, and FT Wilshire 5000 are constructed—and how an index differs from a fund or futures contract.
9 min read -
Rotating Reference Frames: Coriolis, Transverse, and Centrifugal Forces [Classical Mechanics I Studied #7]
We figure out what happens when your coordinate system won't stop spinning — hello Coriolis, centrifugal, and transverse forces!
8 min read -
Inertial and Non-Inertial Frames and the Galilean Transformation [Classical Mechanics I Studied #6]
Struggling through chapter 5 of General Mechanics I, we dig into what inertial and non-inertial frames actually mean and why Newton's 1st law is sneakier than it looks.
8 min read -
2D and 3D Isotropic Harmonic Oscillators and Lissajous Figures [Classical Mechanics I Studied #5]
We're already at chapter 4 — diving into isotropic harmonic oscillators in 2D and 3D, where separating x and y equations leads to super cool Lissajous figures!
4 min read -
Oscillations and Damped Harmonic Motion [Classical Mechanics I Studied #3]
Small displacements near a smooth stable equilibrium can behave like a spring. Derive this approximation, then compare undamped, underdamped, critically damped, and overdamped motion.
6 min read -
Work-Energy Theorem and Conservative Forces [Classical Mechanics I Studied #2]
Deriving the Work-Energy Theorem and potential energy straight from F=ma using the chain rule — turns out it's shockingly simple and kinda blew my mind!!!
5 min read -
Vectors, Coordinate Transformations, and Polar Kinematics
Derive the BAC-CAB identity, distinguish active and passive rotations, and obtain polar-coordinate velocity and acceleration from the moving basis.
6 min read -
The Method of Images: A Charge Above a Grounded Plane
Derive the potential, electric field, induced surface charge, force, and interaction energy for a point charge above an infinite grounded conducting plane.
7 min read -
Laplace's Equation: Harmonic Potentials and Boundary Values
Learn how Laplace's equation describes charge-free electrostatic potentials, from one-dimensional solutions to mean values, boundary conditions, and uniqueness.
7 min read -
Electrostatics in Conductors: Surface Charge and Potential
Learn why the field vanishes in a conductor at equilibrium, then derive the induced charges and potential of a sphere inside a neutral conducting shell.
7 min read -
Electric Potential, Part 2: Electrostatic Energy
Build a charge configuration one charge at a time to derive electrostatic interaction energy, the factor of one half, and energy stored in a vacuum electric field.
6 min read -
Electric Potential and Voltage
Understand electric potential, voltage, and work, then connect the negative gradient to Poisson's equation and the potential of point charges.
7 min read -
Gauss's Law: Electric Flux and Gaussian Surfaces [Electromagnetism I Studied #2]
Study notes on signed electric flux, choosing Gaussian surfaces, and the connection between the integral and differential forms of Gauss's law.
10 min read -
Electrostatics: Coulomb's Law and the Electric Field [Electromagnetism I Studied #1]
An introduction to electrostatic equilibrium, Coulomb's law, vector superposition, and the electric field of fixed point charges in vacuum.
7 min read