Instructor: Dave Bachman
Office hours: M 1-2, W 1-2, F 10-11
Office phone: (909) 607-7961
Goal: The primary goal of this
class is for you to be able to describe any given shape by a
mathematical formula or algorithm.
Graphs of functions
Vector-valued functions (3-D)
Graphs of functions (2
Surfaces of revolution
Parametric Equations from Cylindrical Coordinates
Equations from Spherical Coordinates
Affine Linear Transformations
Possible others: implicit functions, complex
functions, basic differential geometry of curves and surfaces, flow
lines of vector fields, etc.
Projects: This is a project-based class. Each day you
will be given pictures or verbal descriptions of shapes. You are
finished when you reproduce these with some computer graphing program.
Unless otherwise noted, problems are always due by the following class
Software: Mathematica is strongly recommended for
all projects (but not required). You may obtain a free copy on your
machine by emailing
firstname.lastname@example.org, and saying you need it for our class. There is a
cloud version as well that will allow you to run it on a tablet, but
you may have to purchase a subscription for that (its less than the
cost of a textbook). You may use other graphing programs at your own
risk (i.e., I may not be able to help you if you run into trouble). One
nice alternative that will work for most projects is Grapher, which comes pre-installed
on all Macs (hidden in the Utilities folder). There are also various
ios/Android apps, such as GoodGrapher.
However, only Mathematica
may be powerful enough for our more advanced projects.
Hardware: You are required to
bring some device capable of graphing the kinds of equations we will be
dealing with to class every day. If you do not own such a device,
please come talk to me. Graphing calculators will not be sufficient. A
smartphone may work, but it will be hard to see more intricate projects
on a small screen.
3D Printing: We have been given
some money to 3D print a few projects from the Sontag Center (the
"Hive"). This will be optional, and very likely require that you are
running Mathematica. If
enough people are interested, we can have an end-of-semester
Mathematical Art show featuring your work at the Hive.
Exams/Grades: There will be no exams. Your grade will be
based solely on your performance on projects.