MATH 145B
GEOMETRIC MODELING


Instructor:
      Dave Bachman
Office:              Avery 220
Office hours:   M 1-2, W 1-2, F 10-11
Office phone:  (909) 607-7961
Email:              bachman@pitzer.edu
Web:                http://pzacad.pitzer.edu/~dbachman/m145B/syllabus.html (this page)

Goal: The primary goal of this class is for you to be able to describe any given shape by a mathematical formula or algorithm. 

Topics:
    Graphs of functions (1 variable)
    Vector-valued functions (2-D)
    Multicurves
    Vector-valued functions (3-D)
    Graphs of functions (2 variables)
    Surfaces of revolution
    Other Parametric Equations from Cylindrical Coordinates
    Parametric Equations from Spherical Coordinates
    Tubing Parametric Curves
    Solids from Parameteric Surfaces
   
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 day.

Software: Mathematica is strongly recommended for all projects (but not required). You may obtain a free copy on your machine by emailing  
edtech@pitzer.edu, 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.