Summary of lecture notes:

• Lecture 1 [Jan/15] : Welcome; Paradoxes of Static Newtonian Cosmology
• Lecture 2 [Jan/20] : Hubble Expansion (1929): Observing recession velocities and distances; Geometric Methods and the Cosmological Distance Ladder
• Lecture 3 [Jan/22] : Luminosity Methods; Standard Candles and the Cosmological Distance Ladder
• Lecture 4 [Jan/27] : QuasiNewtonian Expanding Universe
• Lecture 5 [Jan/29] : Temporal Dynamics, Matter and Radiation-Dominated Universe; Cosmological Principle and Hubble's law
• Lecture 6 [Feb/03] : Special Relativity: Invariant Spacetime Intervals and Causality
• Lecture 7 [Feb/05] : Special Relativity: Lorentz Covariance and the Linear Algebra of Lorentz transformations
• Lecture 8 [Feb/10] : End LTs, Covariance and Tensors; Introducing Inertial Frames and The Equivalence Principle (Weak Form)
• Lecture 9 [Feb/12] : The Equivalence Principle: Weak Form, Strong Form and Tidal Forces
• Lecture 10 [Feb/17] : Gravitational bending and redshifting of light; Introducing Differential Geometry
• Lecture 11 [Feb/19] : Ruler and Protractor approach to curvature; extrinsic (radii of curvature) approach
• Lecture 12 [Feb/24] : End ruler and protractor approach; Gauss' curvature dependence on metric; Begin modern Differential Geometry
• Lecture 13 [Feb/26] : Parallel transport of vectors; The connection and covariant derivative
• Lecture 14 [Mar/02] : Consequences of Parallel transport: Geodesics, Geodesic Deviation, Parallel transport along closed path
• Lecture 15 [Mar/04] : Calculation: rotation of vector parallel transported around loop; Riemann tensor, Ricci tensor and scalar, Einstein tensor
• Lecture 16 [Mar/16] : Riemann tensor and geodesic deviation; Begin covariant treatment of $\rho$ in Newtonian gravity; Charge conservation and covariant currents
• Lecture 17 [Mar/18] : 4-momentum conservation and the stress-energy tensor; physical meaning; perfect fluids; begin covariantization of Newtonian gravity
• Lecture 18 [Mar/23] : Tidal effects to covariantize gravity; Einstein's equations; Cosmological context
• Lecture 19 [Mar/25] : Cosmological principle and the restriction to Friedmann-Robertson-Walker Universes
• Lecture 20 [Mar/30] : Einstein's equations and the Friedmann equations; Relativistic changes to the QuasiNewtonian universe; begin FRW dynamics
• Lecture 21 [Apr/01] : \Lambda as stress-energy contribution; simplified Friedmann equations; FRW dynamics
• Lecture 22 [Apr/06] : Features of FRW universes: Hubble expansion; photon redshift; particle and event horizons (causality)
• Lecture 23 [Apr/08] : Toward realism: statistical mechanics of interacting particle species in an expanding universe
• Lecture 24 [Apr/13] : Constructing a thermal history of the universe: How isentropic evolution links the scale factor to temperature
• Lecture 25 [Apr/15] : Thermal history: evolution of decoupled populations in an RD Universe
• Lecture 26 [Apr/20] : Summary Thermal history of the universe; Big Bang nucleosynthesis
• Lecture 27 [Apr/22] : Before and After the Big Bang: inflation and quintessence