Historically, much beautiful mathematics has arisen from attempts to explain heat flow, chemical reactions, biological processes, or magnetic fields. A few ingenious techniques solve a surprisingly large fraction of the associated ordinary and partial differential equations. The mystical Pythagorean fascination with ratios and harmonics is vindicated and applied in Fourier series and integrals. Integrating vectorfields over surfaces applies equally to blood flow, gravity, and differential geometry. Format: lectures/discussion, three hours a week; problem sets. Evaluation will be based on problem sets, hour tests, and a final exam. Prerequisite: Mathematics 105. No enrollment limit (expected: 31). Students may not normally get credit for both Mathematics 209 and Mathematics/ Physics 210. This is a quantitative/formal reasoning course.

Hour: DEVADOSS