Todadri, Senthil, 8.513 ManyBody Theory for Condensed Matter Systems, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed 09 Jul, 2010). License: Creative Commons BYNCSA
A very useful guide to the shape of the melting curve is the ClaussiusClapeyron relation. (Image by Prof. Senthil Todadri.)
This course features a complete set of lecture notes and assignments.
This course covers the concepts and physical pictures behind various phenomena that appear in interacting manybody systems. Visualization occurs through concentration on path integral, meanfield theories and semiclassical picture of fluctuations around meanfield state.
Syllabus
Description
This course covers the concepts and physical pictures behind various phenomena that appear in interacting quantum manybody systems. Key ideas/techniques to be covered include broken symmetry, effective field theories, functional integral methods, and quantum phase transition theory.
A rough syllabus is:

Second quantization; path integrals in quantum mechanics

Interacting bosons  superfluidity

Broken symmetry and its consequences

Low dimensional quantum magnetism
Prerequisites
Quantum Physics II (8.05), Statistical Physics II (8.08), Relativity (8.033) or Classical Mechanics II (8.21), Physics of Solids I (8.231)
Homework
There will typically be one homework every week which will be due on the same day of the following week. Late homework is strongly discouraged!!
Presentation
There will be no final exam  instead there will be a short inclass presentation on a topic of general interest to the material in the course. Specific recommendations for presentation topics will be provided later.
Books
No single textbook will be used. What follows is a list of books that I find useful. When appropriate, lecture notes or references to review articles/research papers will be provided.
Negele, John W., and Henri Orland. Quantum ManyParticle Systems. Boulder, CO: Westview Press, October 1998. ISBN: 9780738200521.
Stone, Michael. The Physics of Quantum Fields. New York, NY: SpringerVerlag, February 1999. ISBN: 9780387989099.
Auerbach, Assa. Interacting Electrons and Quantum Magnetism. New York, NY: SpringerVerlag, 1994. ISBN: 9780387942865.
Wen, XiaoGang. Quantum Field Theory Of Manybody Systems: From The Origin Of Sound To An Origin Of Light And Electrons. Oxford, UK; New York, NY: Oxford University Press, 2004. ISBN: 9780198530947.
Sachdev, Subir. Quantum Phase Transitions. Cambridge, UK; New York, NY: Cambridge University Press, 2000. ISBN: 9780521582544.
Anderson, P. W. Basic Notions of Condensed Matter Physics. Boulder, CO: Westview Press, November 27, 1997. ISBN: 9780201328301.
Fradkin, Eduardo. Field Theories of Condensed Matter Systems. Boulder, CO: Westview Press, August 26, 1998. ISBN: 9780201328592.
Polyakov, A. M. Gauge Fields and Strings. New York, NY: Harwood Academic Publishers, Taylor & Francis Scientific, Technical and Medical, October 1, 1987. ISBN: 9783718603930.