Math 398 -- Math in the City
Fall 2008

Instructor:   Petronela Radu (Office: Avery Hall 239   Phone: 472-9130)
                    Office Hours: Monday 2:30 - 4:00 pm ; Tuesday 12:00 -2:00; or by appointment
Schedule of classes: MWF 1:30 -- 2:20  Oldfather Hall 204

Info about the course:
This is a modeling course offered to math and non-math majors and it is run in collaboration with local
businesses, research or administrative centers in town. The course has two components: one which revolves
around the lectures (the homeworks and the exam will be based on this material) and the second is
the project
. In order to complete the course you need to perform well on each component.

The mathematical content of the course will revolve around modeling. Using simple analysis one can give
fairly good estimates to questions like: How tall can a mountain be? How many cobblers are in the United
States? How much warmer is a densely populated urban area than the surrounding countryside? (questions
solved in John Harte's books: Consider a Spherical Cow and Consider a Cylindrical Cow). In the process, we
will learn more on probablity and statistics, differential equations, linear optimization, physical sciences,
and even some programming (Maple).

The difficulty of the topics will be perceived differently by students; each of you will discover that it
depends a lot on your background, the way you think and communicate in mathematics. The discussions
will be more beneficial if you keep up with the material on a day-to-day basis. Do not hesitate to ask
questions in or outside the class whenever in doubt about an argument, notation, etc. At the end of this
course a successful student will not only have performed very well on the tasks during the semester,
but s/he will be able to approach other real life problems that involve mathematics with more confidence.

The course was awarded a University ITLE grant in 2007.

References for the course:
   John Harte: Consider a Spherical Cow, A Course in Environmental Problem Solving
   John Harte: Consider a Cylindrical Cow, More Adventures in Environmental Problem Solving

The Project: In partnership with the Jim Dyck and Deb Hansen from The Architectural Partnership we will focus
on qualitative and quantitative features in sustainable design. As models for our investigation we will use two
green buildings:  the Earth House from the Prairie Hill Learning Center and the Nature Center from the Pioneers Park.

Outline for the project

Project Members:

The Prairie Hill Learning Center :

Dichele Jackson       
Josh Lindsteadt
Sarah Scofield

Brianna Pinquoch

The Nature Center:

The Costs/Savings Group:

Jordan Dudzinski
Logan Dudzinski
Christie Shaw
Matthew Troupe

The Green Group:
Miranda Chrastil
Jennifer Determan
Rachael Farrar

Resources for the projects:
  United States Green Building Council
  Nebraska Green Buildings and Homes
  Capital-E  - Costs and Benefits for Greening America's Schools
Before writing your final essay for the class you may wish to consult the following resources:

Resource 1  Resource 2

Guidelines for grading the project:

    20 points for the mathematical content  - correct formulas and arguments, complete explanations
    10 points for good/steady progress during the semester (accomplishing the tasks on time, meeting with your
        colleagues every week to work on the project, full participation with remarks and questions during the
        meetings will invariably lead to a very good turn out for your efforts)
    15 points for esthetical aspect (use of graphs, diagrams, colors) and organization
      5 points for presenting the novelty and the significance of the work (any research that was done on the
         subject, new methods, programming skills that you learnt while working on the project, emphasize the
         importance of the work).
   Total: 50 points 
   Each project should have 3 parts. The Introduction will contain a project description, an outline of the
   methods used, and the significance of the work. In the Main Body you will include the work: a set-up
   of the problem, the hypothesis, the arguments, and the steps taken to solve the problem. The
   conclusions will contain the final results and their interpretation. All participants in a group project will
   get the same grade, so it is important that each person in the group participate fully and equally.
  Homework: The homework will be announced in class and posted on the web. You are encouraged
  to discuss the problems with your colleagues, but you have to write your own solutions.

  Homework 1

  Your grades will be posted on Blackboard.

  Oral Presentations.  At the end of the semester students will be required to give a presentation of their
  work. This will be a collective effort such that every person will have the chance to do a slide presentation
  with the results of their project. These group presentations will be scheduled on the last week of classes and
  will be free to the public (faculty, graduate, and undergraduate students will be invited).
There will be a two-hour in-class exam for this course covering the topics discussed during the

  Assessment:  Your final grade will be computed based on the follwing scheme.
                        50 % Project
                        25 % Exam
                              15 % Homeworks
                        10 % Oral Presentations
  Honor Code: Some of your work during the course will be done individually, while some will be
  collaborative. I expect you to acknowledge the help you have received from your colleagues, outside
  friends, or me on homework assignments. I will assume that you will adhere to the UNL Policy on
 Academic Honesty.