MATH 210(F,S) Differential Equations and Vector Calculus
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. Lectures and discussion, three hours a week; problem sets. Evaluation will be based on problem sets, hour tests, and a final exam. Prerequisite: Mathematics 105. Students may not normally get credit for both Mathematics 210 and Physics 210.