Math 320
MATH 320 (Differential Equations and Linear Algebra)
Differential equations and linear algebra are crucial for the analysis and control of many dynamical systems such as electrical networks, mechanical structures, chemical and biological networks. Those applications lead to often very large systems of coupled differential equations. The study of the equilibria, stability and control of such systems requires the concepts and tools of differential equations and linear algebra. MATH 320 is a first course in the study of differential equations and linear algebra. As such, students who complete this course can consider themselves as having some of the content of MATH 319 (Techniques in Ordinary Differential Equations) and some of the content of MATH 340 (Elementary Matrix and Linear Algebra). This course lends itself to the MATH 321-322 applied analysis sequence.
Students who have completed MATH 320 will need to complete one of MATH 421; the applied analysis sequence MATH 321-322; or MATH 467 before moving on to 500-level courses that require introductory proofs coursework.
In summary, MATH 320…
- Is useful for students interested in classical applications of mathematics (e.g., physics, engineering, continuous modeling, etc.);
- Covers material in MATH 319, 340, 341, 345, 375, and 376 and therefore is not open to students with credit for any of these courses;
- Is not by itself sufficient for taking advanced math courses; and
- Is offered with an Accelerated Honors (!) version in some semesters. This version is suggested for students in the AMEP program.
Suggested further courses are…
- The applied analysis sequence MATH 321-322, which covers more mathematics useful for applications in physical science and engineering;
- MATH 415, which includes both continuous and discrete models of changing systems;
- MATH 421 or 467 for an introduction to more formal mathematical arguments; or
- MATH 443 for further study of linear algebra in an applied context.