MATH 3230 - Introduction to Differential Equations

(MQR-AS)

Fall. 4 credits.

Forbidden Overlap: Due to an overlap in content, students will not receive credit for both MATH 3230 and MATH 4280.
Prerequisites: multivariable calculus and linear algebra (e.g., MATH 2210-MATH 2220, MATH 2230-MATH 2240, or MATH 1920 and MATH 2940), or permission of instructor.

Staff.

A brief one-semester introduction to the theory and techniques of both ordinary and partial differential equations. Topics for ordinary differential equations may include initial-value and two-point boundary value problems, the basic existence and uniqueness theorems, continuous dependence on data, stability of fix-points, numerical methods, special functions. Topics for partial differential equations may include the Poisson, heat and wave equations, boundary and initial-boundary value problems, maximum principles, continuous dependence on data, separation of variables, Fourier series, Green’s functions, numerical methods, transform methods.