Syllabus.

An update of the course content covered a session-by-session basis.

Textbook and reading Materials.

Homework Assignments.

Test Dates and Solutions.

Discussion Session Materials.

Partial Differential Equations: Second Edition (Graduate Studies in Mathematics). Lawrence C. Evans.

Partial Differential Equations of Mathematical Physics and Integral Equations (Dover Books in Mathematics). Ronald B. Guenther & John W. Lee

Hilbert Space Methods for Partial Differential Equations. Ralph E. Showalter (Chapter 1).

Hilbert Space Methods for Partial Differential Equations. Ralph E. Showalter (Chapter 2).

Hilbert Space Methods for Partial Differential Equations. Ralph E. Showalter (Chapter 3)

Variational Method in Hilbert Space. Ralph E. Showalter.

The Potential Equation. Ralph E. Showalter.

Discrete Models of Diffusion and Vibration. Ralph E. Showalter.

Continuous Models of Diffusion and Vibration. Ralph E. Showalter.

The Divergence Theorem.

Optimization by Vector Space Methods. Luenberger David.