Math 12a -- Fall 2004 Linear Algebra and Discrete Dynamical Systems Section 1: MTWF 10-10:50 am, Jacobs B134 Section 2: MTWF 11-11:50 am, Jacobs B134 Professor:Darryl Yong, Olin 1261, x72844, dyong at hmc.eduOffice Hours: Tues 2-4 p.m. (open door policy)
AE Hours: Tuesday, Thursday, Sunday evenings at the LAC
Course content: This course is an introduction to linear
algebra and discrete dynamical systems. Linear algebra is the study of
linear functions of several variables. Matrices and matrix algebra are
used to study and model them. Many real-world phenomena are modeled by
functions of several variables, and it is often interesting and
important to understand the long-term behavior of the "dynamics" of
repeatedly iterating such functions. Discrete dynamical systems is the
study of the dynamics of both linear and non-linear functions. We will
study the dynamics of linear maps of several variables, as well as the
non-linear maps of just one variable, whose dynamics are already quite
interesting. You will see connections to differential equations
(Math 13) and multivariable calculus (Math 14) later this year.
No late homeworks will be accepted. Your lowest homework
score will be dropped.
We will have two exams; the first will be a take-home exam due Monday, 9/27, the second will be an in-class exam on the last day of this class, Friday, 10/15.
Your two exams and homework each count towards one-third of your
grade.
Honor Code: Cooperation on homework assignments is encouraged,
but each student is expected to write up his or her own solutions
individually. (That is, no copying.) Comprehension is the goal, so you
should understand solutions well enough to write them up yourself. In
addition, you must cite any sources of help that you use. If you work
with a classmate on a problem, be sure to acknowledge that person in
your homework write-up. Harvey Mudd's honor code
applies in all matters of conduct concerning this course.