Math for Economists

"Economics studies the efficient allocation of scarce resources." It follows almost immediately from this definition that while verbal and graphical analyses are often helpful too, economists derive their sharpest and most powerful results by setting up and solving constrained (because resources are "scarce") optimization (because allocations should be "efficient") problems. Hence, this course introduces first-year graduate students to variety of techniques for doing just that: setting up and solving constrained optimization problems. Specific methods covered include those based on the Kuhn-Tucker and envelope theorems, the maximum principle, and dynamic programming. Note that since this is a "math for economists course", its emphasis is not so much on stating and proving theorems but on developing an intuitive understanding of how and why each method works and determining when one particular approach may be easier or more convenient than all others to apply to a specific problem.