Topic
Physics
139 posts
Basic Statistics I Studied
11 posts
- #1 Moment Generating Function [Basic Statistics I Studied #1]
- #1 Introduction [Basic Statistics I Studied #1]
- #2 Derivation of the Poisson Distribution [Basic Statistics I Studied #2]
- #3 Derivation of the Exponential Distribution [Basic Statistics I Studied #3]
- #4 Derivation of the Gamma Distribution [Basic Statistics I Studied #4]
- #5 Derivation of the Chi-Squared Distribution [Basic Statistics I Studied #5]
- #6 Derivation of the Student's t-Distribution [Basic Statistics I Studied #6]
- #7 Derivation of the F-Distribution [Basic Statistics I Studied #7]
- #8 Hypothesis Testing [Basic Statistics I Studied #8]
- #12 Python: Poisson, Exponential, and Gamma Distributions [Basic Statistics I Studied #12]
- #13 Python: Chi-Squared, Student's t, and F Distributions [Basic Statistics I Studied #13]
Classical Mechanics I Studied
21 posts
- #1 Vectors and Polar Coordinates [Classical Mechanics I Studied #1]
- #2 Work-Energy Theorem and Conservative Forces [Classical Mechanics I Studied #2]
- #3 Oscillations and Damped Harmonic Motion [Classical Mechanics I Studied #3]
- #4 Forced Harmonic Oscillation and Resonance [Classical Mechanics I Studied #4]
- #5 2D and 3D Isotropic Harmonic Oscillators and Lissajous Figures [Classical Mechanics I Studied #5]
- #6 Inertial and Non-Inertial Frames and the Galilean Transformation [Classical Mechanics I Studied #6]
- #7 Rotating Reference Frames: Coriolis, Transverse, and Centrifugal Forces [Classical Mechanics I Studied #7]
- #10 The Orbit Equation via Energy Methods [Classical Mechanics I Studied #10]
- #13 Center of Mass (CM) [Classical Mechanics I Studied #13]
- #14 Momentum of a System of Particles [Classical Mechanics I Studied #14]
- #15 Angular Momentum of a System of Particles [Classical Mechanics I Studied #15]
- #16 Rigid Body Dynamics and the Center of Mass of a Rigid Body [Classical Mechanics I Studied #16]
- #17 Moment of Inertia: Perpendicular Axis Theorem and Parallel Axis Theorem [Classical Mechanics I Studied #17]
- #18 Radius of Gyration [Classical Mechanics I Studied #18]
- #20 Rigid Body in Planar Motion [Classical Mechanics I Studied #20]
- #21 Three-Dimensional Motion of a Rigid Body [Classical Mechanics I Studied #21]
- #22 The Inertia Tensor [Classical Mechanics I Studied #22]
- #23 Principal Axes of a Rigid Body [Classical Mechanics I Studied #23]
- #24 Euler's Equations of Motion for a Rigid Body [Classical Mechanics I Studied #24]
- #25 Euler Angles [Classical Mechanics I Studied #25]
- #26 Euler Angles (Part 2) [Classical Mechanics I Studied #26]
Electromagnetism I Studied
24 posts
- #1 Electrostatics [Electromagnetism I Studied #1]
- #2 Gauss's Law [Electromagnetism I Studied #2]
- #3 Electric Potential [Electromagnetism I Studied #3]
- #4 Electric Potential (Part 2) [Electromagnetism I Studied #4]
- #5 Electrostatics in Conductors [Electromagnetism I Studied #5]
- #6 Laplace's Equation [Electromagnetism I Studied #6]
- #7 The Method of Images [Electromagnetism I Studied #7]
- #8 Separation of Variables [Electromagnetism I Studied #8]
- #9 Multipole Expansion [Electromagnetism I Studied #9]
- #10 Polarization [Electromagnetism I Studied #10]
- #11 Bound Charge Density [Electromagnetism I Studied #11]
- #12 Electric Displacement [Electromagnetism I Studied #12]
- #13 Linear Dielectrics [Electromagnetism I Studied #13]
- #15 Lorentz Force and Magnetostatics [Electromagnetism I Studied #15]
- #16 The Biot-Savart Law [Electromagnetism I Studied #16]
- #19 Magnetic Vector Potential [Electromagnetism I Studied #19]
- #20 Magnetic Fields in Matter [Electromagnetism I Studied #20]
- #22 Electrodynamics [Electromagnetism I Studied #22]
- #29 Electromagnetic Waves [Electromagnetism I Studied #29]
- #30 Electromagnetic Waves in Matter [Electromagnetism I Studied #30]
- #33 Electromagnetic Waves in Conductors — Absorption and Dispersion (Part 1) [Electromagnetism I Studied #33]
- #35 Frequency Dependence of the Permittivity [Electromagnetism I Studied #35]
- #36 Gauge Transformations — Coulomb Gauge, Lorenz Gauge, and the d'Alembertian [Electromagnetism I Studied #36]
- #40 The Hall Effect [Electromagnetism I Studied #40]
Linear Algebra I Studied
13 posts
- #1 Prologue: Heralding the Beginning [Linear Algebra I Studied #1]
- #1 Vector Spaces [Linear Algebra I Studied #1]
- #2 Linear Dependence and Linear Independence [Linear Algebra I Studied #2]
- #3 Basis [Linear Algebra I Studied #3]
- #4 Matrices and Matrix Multiplication [Linear Algebra I Studied #4]
- #5 Surjective, Injective, and Bijective Functions [Linear Algebra I Studied #5]
- #6 Kernel and Image [Linear Algebra I Studied #6]
- #7 Isomorphism and the Dimension Theorem [Linear Algebra I Studied #7]
- #8 Change of Basis [Linear Algebra I Studied #8]
- #9 Systems of Linear Equations and Gaussian Elimination [Linear Algebra I Studied #9]
- #10 Elementary Row Operation Matrices (EROM) [Linear Algebra I Studied #10]
- #11 The Rank Theorem [Linear Algebra I Studied #11]
- #16 Block Matrices [Linear Algebra I Studied #16]
Modern Physics I Studied
10 posts
- #1 Time Dilation in Special Relativity [Modern Physics I Studied #1]
- #2 The Relativistic Doppler Effect [Modern Physics I Studied #2]
- #3 Length Contraction in Special Relativity [Modern Physics I Studied #3]
- #4 The Twin Paradox in Special Relativity [Modern Physics I Studied #4]
- #6 General Relativity [Modern Physics I Studied #6]
- #8 The Photoelectric Effect [Modern Physics I Studied #8]
- #9 X-Rays [Modern Physics I Studied #9]
- #11 Wave Properties of Particles [Modern Physics I Studied #11]
- #12 Atomic Models and the Bohr Model [Modern Physics I Studied #12]
- #14 A Basic Understanding of the Photolithography Process [Modern Physics I Studied #14]
Quantum Mechanics I Studied
22 posts
- #1 Introduction to Quantum Mechanics: On Probability [Quantum Mechanics I Studied #1]
- #2 Normalization [Quantum Mechanics I Studied #2]
- #3 The Momentum Operator [Quantum Mechanics I Studied #3]
- #4 The Time-Independent Schrödinger Equation [Quantum Mechanics I Studied #4]
- #5 The Time-Independent Schrödinger Equation, Part 2 [Quantum Mechanics I Studied #5]
- #7 The Harmonic Oscillator and Ladder Operators [Quantum Mechanics I Studied #7]
- #8 Ladder Operators [Quantum Mechanics I Studied #8]
- #9 Algebraic Solution to the Harmonic Oscillator [Quantum Mechanics I Studied #9]
- #10 The Free Particle [Quantum Mechanics I Studied #10]
- #11 The Delta-Function Potential [Quantum Mechanics I Studied #11]
- #12 Delta-Function Potential: Scattering States and Quantum Tunneling [Quantum Mechanics I Studied #12]
- #14 Formalism: Hilbert Space [Quantum Mechanics I Studied #14]
- #15 Formalism: Observables and Hermitian Operators [Quantum Mechanics I Studied #15]
- #16 Formalism: Determinate States [Quantum Mechanics I Studied #16]
- #17 The Uncertainty Principle [Quantum Mechanics I Studied #17]
- #18 Two-Level Systems [Quantum Mechanics I Studied #18]
- #19 The Schrödinger Equation in Spherical Coordinates (3D) [Quantum Mechanics I Studied #19]
- #21 Angular Momentum [Quantum Mechanics I Studied #21]
- #23 Larmor Precession and the Stern-Gerlach Experiment [Quantum Mechanics I Studied #23]
- #26 Two-Particle Systems and the Exchange Force [Quantum Mechanics I Studied #26]
- #30 Relativistic Correction and the Fine Structure of Hydrogen [Quantum Mechanics I Studied #30]
- #44 The Pauli Exclusion Principle [Quantum Mechanics I Studied #44]
Special Relativity Special
5 posts
- #1 Introduction to Special Relativity [Special Relativity Special #1]
- #2 Fundamental Understanding of Special Relativity [Special Relativity Special #2]
- #3 Spacetime and Lorentz Invariance [Special Relativity Special #3]
- #4 Timelike, Spacelike, and Null Intervals [Special Relativity Special #4]
- #6 Time Dilation and Length Contraction [Special Relativity Special #6]
Thermal & Statistical Mechanics I Studied
33 posts
- #1 Stirling's Formula and Stirling's Approximation [Thermal & Statistical Mechanics I Studied #1]
- #2 Chapter 3 Practice Problems [Thermal & Statistical Mechanics I Studied #2]
- #3 Microstates and Macrostates [Thermal & Statistical Mechanics I Studied #3]
- #4 Temperature [Thermal & Statistical Mechanics I Studied #4]
- #5 Chapter 4 Practice Problems [Thermal & Statistical Mechanics I Studied #5]
- #16 The First Law of Thermodynamics, State Functions, and Exact vs. Inexact Differentials [Thermal & Statistical Mechanics I Studied #16]
- #22 Entropy: Thermodynamic and Statistical Mechanical Perspectives [Thermal & Statistical Mechanics I Studied #22]
- #31 Equipartition Theorem [Thermal & Statistical Mechanics I Studied #31]
- #32 Limits of the Equipartition Theorem [Thermal & Statistical Mechanics I Studied #32]
- #33 The Partition Function [Thermal & Statistical Mechanics I Studied #33]
- #34 Relationship Between the Partition Function and State Functions [Thermal & Statistical Mechanics I Studied #34]
- #36 Density of States and Statistical Mechanics of the Ideal Gas [Thermal & Statistical Mechanics I Studied #36]
- #37 Density of States: Another Perspective [Thermal & Statistical Mechanics I Studied #37]
- #38 Quantum Concentration and Thermal de Broglie Wavelength [Thermal & Statistical Mechanics I Studied #38]
- #39 Partition Function for Indistinguishable Particles [Thermal & Statistical Mechanics I Studied #39]
- #40 The Grand Canonical Ensemble [Thermal & Statistical Mechanics I Studied #40]
- #42 Grand Potential [Thermal & Statistical Mechanics I Studied #42]
- #43 Chemical Potential of an Ideal Gas [Thermal & Statistical Mechanics I Studied #43]
- #44 Chemical Potential as Gibbs Free Energy per Particle [Thermal & Statistical Mechanics I Studied #44]
- #45 Chemical Potential of Photons [Thermal & Statistical Mechanics I Studied #45]
- #46 Pressure Dependence of Chemical Potential [Thermal & Statistical Mechanics I Studied #46]
- #47 Le Chatelier's Principle [Thermal & Statistical Mechanics I Studied #47]
- #49 The Stefan-Boltzmann Law [Thermal & Statistical Mechanics I Studied #49]
- #50 The Stefan-Boltzmann Constant [Thermal & Statistical Mechanics I Studied #50]
- #57 Maxwell's Construction [Thermal & Statistical Mechanics I Studied #57]
- #59 Joule-Kelvin Expansion and the Inversion Curve [Thermal & Statistical Mechanics I Studied #59]
- #62 Temperature Dependence of Latent Heat for an Ideal Gas [Thermal & Statistical Mechanics I Studied #62]
- #66 Ebullioscopic and Cryoscopic Constants [Thermal & Statistical Mechanics I Studied #66]
- #67 Symmetry Breaking [Thermal & Statistical Mechanics I Studied #67]
- #68 Ising Model, Monte Carlo Method, and the Metropolis Algorithm [Thermal & Statistical Mechanics I Studied #68]
- #69 Fourier Series and Fourier Transform: A Brief Introduction [Thermal & Statistical Mechanics I Studied #69]
- #70 Brownian Motion and the Langevin Equation [Thermal & Statistical Mechanics I Studied #70]
- #72 Brownian Motion and the Correlation Function [Thermal & Statistical Mechanics I Studied #72]