21-260 Differential Equations
The subject of differential equations can be described as the study of equations involving derivatives. It can also be described as the study of anything that changes. The reason for this goes back to differential calculus, where one learns that the derivative of a function describes the rate of change of the function. Thus any quantity that varies can be described by an equation involving its derivative, whether the quantity is a position, velocity, temperature, population or volume.
There are three main ways to study differential equations. There are analytic methods, wherein a mathematical formula for a solution of a differential equation is obtained. There are Numerical techniques, which provide an approximate solution, generally using a computer or programmable calculator. Differential Equations can also be studied qualitatively, determining general properties of solution without concern for exact behavior.
In this course, we will emphasize analytic methods. Qualitative will also be studied, but numerical techniques will be left to other courses.
After completing this course, you should be able to
How to use this site...
The description gives a brief overview of the topics we will discuss this semester. The learning objectives give an itemized list of the skills you should be developing. The list of learning objectives may give you some useful direction in terms of studying for exams.
Times and rooms for lecture and recitation sections.
Provides information about the course: posting of homework, changes to office hours, times and locations for review sessions, and general announcements.
List of topics to be covered each week, with links to reading assignments and homework.
Information about the calculation of grades, dates for exams, policies for late assignments and other matters. Familiarize yourself with these policies early in the semester.