Math 204 -- Differential Equations 

Math 204 presents a variety of methods for solving ordinary differential equations, and systems of ordinary differential equations, including analytic, graphical, and numerical approaches. The course also emphasizes applications in the physical, biological, and social sciences. Depending on the instructor, the mix of approaches may be either more analytic (including perhaps an introduction to series solutions or Laplace transforms) or graphical/computer-based (including perhaps an introduction to chaos theory).

The course is required for the physics major, and is an elective for the math major/minor and the mathematics economics concentration. Some basic elements of linear algebra are developed as needed in the course (Math 215 is not a prerequisite for this course.)

Prerequisites: Math 115 or Math 116, or advanced placement.

Who should take this course?
Students considering the math major or minor
Physics majors
Students in any natural science or social science major interested in the role of mathematical modeling in their discipline (esp. economics, biology, chemistry)
Students who have mastered single-variable calculus and are looking for an applied mathematics elective.

Topics covered:
First-order ordinary differential equations (ODEs)
Second-order linear ODEs
Linear systems of ODEs
Nonlinear systems of ODEs
Graphical techniques: vector fields, phase planes
Numerical techniques: Euler's method
Applications, including population growth, spring models, competing species, etc.


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For detailed information about Math 204 this year, please consult the list of Fall Courses and Spring Courses linked to the Mathematics and Statistics Home Page.