MATH 462, PARTIAL DIFFERENTIAL EQUATIONS FOR SCIENTISTS AND ENGINEERS
- Office: 3307 Mathematics Bldg
- Phone: (301) 405-6865
- Office Hours: (Spring 2006)
Tuesday, Thursday 9:00-10:15am.
Introduction to the subject of partial differential equations: first order equations (linear and nonlinear), heat equation, wave equation, and Laplace equation. Examples of nonlinear equations of each type. Qualitative properties of solutions. Method of characteristics for hyperbolic problems. Solution of initial boundary value problems using separation of variables and eigenfunction expansions. Some numerical methods.
MATH 241 and MATH 246
Class Times: Tuesday and Thursday: 12:30am - 1:45pm.
Location: MTH 0303
Final Exam: Thursday May 18: 1:30pm - 3:30pm.
Partial Differential Equations - An introduction
- COURSE OUTLINE (Tentative):
- First order equations
- Diffusion (heat equation) in one space variable
- The wave equation on the line
- Heat and wave equations in higher dimensions
- Laplace equation
- Epilogue: classification of second order linear equations
Homework and Quizzes: Homework will be assigned once a
week. There will be given approximately ten homeworks
during the semester from which only the best eight homeworks
will count towards your grade.
- Homework: 20%
- Midterms I & II: 40%
- Final: 40%