Please note: This site is NOT an official course Website. These lecture notes are for reference purposes only.
2B24 Atomic and Molecular Physics (UCL lecture notes)
Mathematical Methods I (substitute Lecture Notes)
Overview
Introductory material
Differentiation
Integration
Series
Fourier Analysis
Complex Numbers
Sample problems and solutions
Mathematical Methods II (substitute Lecture Notes)
Complex Numbers
Coordinates
Hyperbolic Functions
Differential Equations
Fourier Analysis 2
Vectors
Vector Fields
Maxwell's Equations
Line Integrals
Multiple Integrals
Matrices
Matrix Determinants
Eigenvalues and Eigenvectors
Eigenvalues
Ch 6 only for more on Eigenvalues and Eigenvectors
MT3LectureNotes (more on Matrices, vectors and operators)
Extra book:
Elementary Linear Algebra - K. Matthews
2112 (2B12) Nebulae to Stars (Astrophysics)
Interstellar Clouds:
Physical conditions. Heating and cooling processes. Line broadening (natural, thermal, turbulent).
Line transfer, curve of growth, abundances.
Photoionized Nebulae:
Physical conditions. Heating and cooling processes; collisional excitation of emission lines. Ionization equilibrium. Absorption & emission coefficients, and the source function. Free-free radio continuum, and radiative transfer.
Stellar Atmospheres:
Radiation transport. Moments of the radiation field. Saha-Boltzmann equation. Local Thermodynamic
Equilibrium.
Stellar Interiors:
Equation of state. Hydrostatic equilibrium. Radiation pressure, Eddington limit. Virial theorem,
stellar timescales.
Nuclear Processes:
PP chain. CNO cycle. 3- processes and later stages of burning. Neutron capture, r and s processes.
Supernovae.
Suggested Reading
The Physics of the Interstellar Medium (J.E. Dyson & D.A. Williams, IoP Publishing)
Astrophysics I: Stars (R. Bowers & T. Deeming, Jones & Bartlett)
2246 Mathematical Methods III
Part 1 - Preliminaries
Part 2
Part 3
Part 4
Part 5
Part 6
Part 7
Harmonic Oscillator - (HO)
Extra books:
Statistical Physics Problem book - Y. Galperin
Mathematical Methods of Engineering Analysis
Some extra material on Tensor Calculus: (Tensors are not covered in the main maths modules above)
Introduction To Tensor Calulus - Dullemond & Peeters
Introduction to Tensor Calculus for GR - E. Birtschinger (MIT)
Introduction to Tensor Calculus - A. Smirnov
UCL Physics BSc course modules
QMUL Physics and Astrophysics MSc course outlines
[ Back | More Phys and Astro Lectures ]