The Hartree-Fock molecular orbitals; LCAO-MO expansion; Hartree-Fock equations in matrix form; one- and two-electron integrals; the iterative SCF process; scaling with basis set size; how virtual orbitals change with basis set; core, valence, polarization, and diffuse basis functions; Slater-type and Gaussian-type basis functions; contracted Gaussian functions; Rydberg and extra-diffuse basis functions.

1. Born-Oppenheimer Approximation
2. Hartree-Fock Application
3. Dynamical Pair Correlations
4. Linear Combinations of Atomic Orbitals
5. Basis Sets & Extrapolation of the Hartree-Fock
6. Møller-Plesset Perturbation Theory
7. Configuration Interaction Theory
8. Coupled-cluster Theory
9. Metastable Anions & Virtual Orbitals
10. Error Trends
11. Fundamentals of Density Functional Theory
12. Gradients and Reaction Paths

These lectures are intended to provide graduate students in chemistry and related fields, experimental chemists, and theoretical chemists specializing in other sub-disciplines with an introduction to the underpinnings of electronic structure theory. I have tried to present the material with a focus on physical and conceptual content while keeping the mathematical level appropriate to the broad audience just described. For those who want access to additional information at or a bit beyond the level of these lectures, I can recommend the following texts:

T. Helgaker, J. Olsen, and P. Jorgensen, Molecular Electronic Structure Theory, Wiley (2000). I think this is the best book to use as a source for further details about the methods introduced in these lectures.

J. Simons, and J. Nichols, Quantum Mechanics in Chemistry, Oxford University Press (1997);
J. Simons, An Introduction to Theoretical Chemistry, Cambridge University Press (2003). These two books are good at explaining the concepts underlying the equations, offer good physical pictures of what the theories contain, and make connections to experiments.

J. Simons, Energetic Principles of Chemical Reactions, Jones and Bartlett Publishers, Inc. (1983). This is a good source for making connections between electronic structure theory and reaction dynamics.

Other good sources are the web site http://simons.hec.utah.edu/TheoryPage, as well as that of the theoretical chemistry Summer School http://simons.hec.utah.edu/school where lectures on electronic structure theory, dynamics, and statistical mechanics appear.
I hope you enjoy and benefit from these lectures and I wish you the very best in your own scholarly career.

- Dr. Simons (from official website: http://www.hec.utah.edu/ESTheory/)