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Physics
201 topics across 7 chapters
Chapter 1
Math & Tools for Physics
1
Mathematical Foundations
6 subtopics
2
Algebra & Trigonometry for Physics (units, scaling, vectors intro)
3
Single-variable calculus (derivatives, integrals, series basics)
4
Multivariable calculus (grad/div/curl, line & surface integrals)
5
Linear algebra (vectors, matrices, eigenvalues/eigenvectors)
6
Ordinary differential equations (1st/2nd order, oscillations)
7
Complex numbers & Euler's formula (phasors, waves)
8
Physical Measurement & Data
4 subtopics
9
SI units, dimensions, and dimensional analysis
10
Uncertainty, significant figures, and error propagation
11
Data visualization & basic fitting (linearization, least squares idea)
12
Experimental design basics (controls, calibration, systematic vs random)
13
Computational & Numerical Methods
5 subtopics
14
Python basics for physics (arrays, plotting, notebooks)
15
Numerical integration & differentiation (trapezoid, Simpson, finite diff)
16
ODE solvers (Euler, Runge–Kutta) and stability intuition
17
Monte Carlo basics (random sampling, uncertainty estimates)
18
Numerical linear algebra (solving Ax=b, conditioning)
19
Vector Calculus Toolkit
4 subtopics
↗ Multivariable calculus (grad/div/curl, line & surface integrals) (see Chapter 1)
20
Coordinate systems (Cartesian, polar, cylindrical, spherical)
21
Integral theorems (Green, Gauss, Stokes) — what they mean physically
22
Fields and potentials (scalar vs vector fields, conservative fields)
23
Core Physics Problem-Solving
4 subtopics
24
Modeling workflow (assumptions, idealizations, limits, sanity checks)
25
Free-body diagrams and sign conventions
26
Conservation-law thinking (energy, momentum, charge)
27
Approximation methods (Taylor expansion, small-angle, limiting cases)
28
Scientific Communication
3 subtopics
29
Lab notebooking and reproducibility basics
30
Physics-style derivations (structure, units checks, boundary cases)
31
Presenting results (plots, captions, uncertainty statements)
Chapter 2
Classical Mechanics
32
Kinematics
3 subtopics
33
1D motion graphs (x-t, v-t, a-t) and interpretation
34
2D/3D motion & projectiles (components, relative motion)
35
Uniform circular motion (centripetal acceleration, period/frequency)
36
Newton’s Laws & Forces
4 subtopics
↗ Free-body diagrams and sign conventions (see Chapter 1)
37
Common forces (gravity, normal, tension, friction, drag models)
38
Constraints and connected-body problems (pulleys, inclines)
39
Non-inertial frames (fictitious forces, rotating frames intro)
40
Work, Energy, Power
3 subtopics
41
Work-energy theorem and conservative vs nonconservative work
42
Potential energy functions (springs, gravity) and stability
43
Power and efficiency (mechanical systems)
44
Momentum, Impulse, Collisions
3 subtopics
45
Impulse-momentum theorem (force-time area)
46
Elastic vs inelastic collisions (1D and 2D)
47
Center of mass and systems of particles
48
Rotational Dynamics
4 subtopics
49
Torque, angular momentum, and rotational Newton’s 2nd law
50
Moment of inertia (common shapes, parallel-axis theorem)
51
Rolling without slipping and energy methods
52
Gyroscopes and precession (qualitative + simple quantitative)
53
Oscillations & Waves (Mechanical)
4 subtopics
54
Simple harmonic motion (mass-spring, pendulum small-angle)
55
Damped and driven oscillators; resonance
56
Wave equation basics; wave speed, superposition
57
Standing waves and normal modes (strings, pipes intro)
58
Analytical Mechanics (Lagrangian/Hamiltonian)
4 subtopics
59
Generalized coordinates and constraints (virtual work idea)
60
Lagrangian formulation and Euler–Lagrange equations
61
Noether’s theorem (symmetries → conserved quantities)
62
Hamiltonian mechanics basics (phase space, canonical equations)
Chapter 3
Electricity & Magnetism
63
Electrostatics
4 subtopics
64
Coulomb’s law and superposition
65
Electric field and electric potential (relationships, equipotentials)
66
Gauss’s law (symmetry arguments, common charge distributions)
67
Capacitance and dielectrics (energy stored in E-field)
68
Circuits
4 subtopics
69
Current, resistance, and Ohm’s law; resistivity
70
Kirchhoff’s laws and circuit reduction
71
RC circuits (transients, time constant)
72
RL and RLC circuits; AC steady state and resonance
73
Magnetostatics
3 subtopics
74
Lorentz force and motion of charges in B fields
75
Biot–Savart law and Ampère’s law (symmetry cases)
76
Magnetic vector potential (concept + simple uses)
77
Electromagnetic Induction
3 subtopics
78
Faraday’s law and Lenz’s law (sign and physical meaning)
79
Inductance (self and mutual), energy in B-fields
80
Maxwell’s displacement current idea (why it matters)
81
Maxwell’s Equations & EM Waves
4 subtopics
↗ Integral theorems (Green, Gauss, Stokes) — what they mean physically (see Chapter 1)
82
Maxwell’s equations (integral and differential forms)
83
Plane EM waves (polarization, intensity, impedance)
84
Poynting vector and energy/momentum flow in fields
85
E&M in Matter (Intro)
3 subtopics
86
Polarization and bound charges (basic models)
87
Magnetization and bound currents (basic models)
88
Boundary conditions at interfaces (E and B components)
Chapter 4
Thermodynamics & Statistical Physics
89
Thermodynamic Systems & State Variables
3 subtopics
90
State variables, equations of state, phase diagrams basics
91
Quasi-static processes and PV work
92
Heat capacity and equipartition intuition (where it works/doesn’t)
93
First Law of Thermodynamics
3 subtopics
94
Internal energy and heat vs work distinctions
95
Ideal gas processes (isothermal/adiabatic/isochoric/isobaric)
96
Enthalpy and PV systems (basic applications)
97
Second Law & Entropy
4 subtopics
98
Entropy definitions (Clausius) and reversible vs irreversible
99
Carnot cycle, efficiency limits, heat engines
100
Free energies (Helmholtz/Gibbs) and equilibrium criteria
101
Maxwell relations and thermodynamic identities (how to use them)
102
Kinetic Theory of Gases
3 subtopics
103
Molecular interpretation of pressure and temperature
104
Maxwell–Boltzmann speed distribution (mean, rms, most probable)
105
Mean free path and transport (viscosity, diffusion qualitative)
106
Statistical Mechanics Foundations
4 subtopics
107
Microstates, macrostates, multiplicity; Boltzmann entropy
108
Canonical ensemble and partition function (what it gives you)
109
Quantum statistics overview (Bose vs Fermi, when needed)
110
Fluctuations and response (heat capacity, compressibility)
111
Phase Transitions (Intro)
3 subtopics
112
First-order vs continuous transitions; latent heat; order parameters
113
Ising model intuition and mean-field idea
114
Critical phenomena basics (correlation length, scaling idea)
Chapter 5
Quantum Physics
115
Quantum Foundations
4 subtopics
116
Wavefunctions, probability, normalization; Born rule
117
Operators, observables, and measurement postulates
118
Uncertainty principle and commutators (worked examples)
119
Dirac notation basics (kets, bras, inner products)
120
1D Quantum Mechanics
4 subtopics
121
Schrödinger equation (time-dependent and time-independent)
122
Canonical problems: infinite well, finite well, barriers, tunneling
123
Harmonic oscillator (ladder operators overview)
124
Scattering in 1D (reflection/transmission coefficients)
125
Angular Momentum & Spin
4 subtopics
126
Orbital angular momentum and spherical harmonics (conceptual + basics)
127
Spin-1/2 systems and Pauli matrices
128
Addition of angular momentum (Clebsch–Gordan idea)
129
Stern–Gerlach experiment and spin measurement
130
Approximation Methods in Quantum
3 subtopics
131
Time-independent perturbation theory (nondegenerate)
132
Variational principle and trial wavefunctions
133
WKB approximation (tunneling and turning points)
134
Quantum Dynamics
3 subtopics
135
Time evolution and unitary operators; stationary states
136
Ehrenfest theorem and classical limit intuition
137
Two-level systems and Rabi oscillations (intro)
138
Many-Particle Quantum & Stats
3 subtopics
↗ Quantum statistics overview (Bose vs Fermi, when needed) (see Chapter 4)
139
Identical particles and (anti)symmetrization
140
Fermi gas and Bose gas (qualitative + key results)
141
Quantum Information (Intro)
3 subtopics
142
Qubits, Bloch sphere, single-qubit gates
143
Entanglement and Bell inequalities (conceptual + simple tests)
144
Simple quantum circuits and measurement (toy algorithms overview)
Chapter 6
Relativity
145
Special Relativity Basics
4 subtopics
146
Postulates and spacetime events; simultaneity
147
Lorentz transformations and time dilation/length contraction
148
Relativistic energy and momentum; 4-vectors intro
149
Minkowski diagrams (reading causal structure)
150
Relativistic Mechanics
3 subtopics
151
Relativistic dynamics (force, power, acceleration relations)
152
Relativistic collisions and invariants
153
Electromagnetism and special relativity (field transformations idea)
154
General Relativity Concepts (Intro)
3 subtopics
155
Equivalence principle and curved spacetime intuition
156
Geodesics and gravitational time dilation (conceptual + simple math)
157
Einstein field equation meaning (stress-energy and curvature)
158
Black Holes & Gravitational Waves (Intro)
3 subtopics
159
Schwarzschild radius and event horizon basics
160
Orbits and light near black holes (qualitative lensing)
161
Gravitational waves basics (sources, detection overview)
162
Relativistic Field Theory Prelude
3 subtopics
163
Lorentz invariance and covariant notation practice
164
Classical fields and Lagrangian density idea
165
Stress–energy tensor (meaning and simple examples)
Chapter 7
Modern Physics Applications
166
Optics
4 subtopics
167
Geometric optics (reflection/refraction, lenses, imaging)
168
Wave optics (interference, diffraction, coherence)
169
Polarization and optical materials (birefringence intro)
170
Lasers basics (stimulated emission, cavities, linewidth intuition)
171
Atomic Physics
3 subtopics
172
Hydrogen atom (quantum numbers, energy levels, degeneracy)
173
Spectroscopy basics (selection rules idea, line broadening intro)
174
Multi-electron atoms (shells, periodic trends qualitative)
175
Nuclear Physics
3 subtopics
176
Nuclear structure basics (binding energy, liquid drop model idea)
177
Radioactive decay and half-life calculations
178
Fission and fusion (energy release and basic conditions)
179
Particle Physics (Intro)
4 subtopics
180
Standard Model overview (fermions, bosons, interactions)
181
Feynman diagrams as bookkeeping (not full QFT)
182
Conservation laws and quantum numbers (charge, lepton/baryon)
183
Accelerators and detectors (how we measure particles)
184
Condensed Matter (Intro)
4 subtopics
185
Crystal structures and reciprocal lattice idea
186
Band theory basics (metals vs insulators vs semiconductors)
187
Semiconductor devices overview (diodes, transistors conceptually)
188
Superconductivity and superfluidity (phenomenology intro)
189
Astrophysics & Cosmology (Intro)
4 subtopics
190
Stellar structure and evolution basics
191
Galaxies and dark matter evidence (rotation curves, lensing)
192
Big Bang cosmology basics (expansion, CMB, nucleosynthesis)
193
Exoplanet detection methods (transit, radial velocity)

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