Sharon Crook
323 Neville Hall, 581-3919, crook@math.umaine.edu
or First Class
Office Hours: Mondays 10:00 &
Tuesdays 10:00 or by appointment
I am also in the math lab in Neville Hall on Thursdays at 2:00.
You may also approach the other professors who are involved in the course
for help with assignments:
Bob Franzosa, Neville Hall 417, franzosa@math.umaine.edu
Bill Halteman, Neville Hall 334, halteman@math.umaine.edu
Grattan Murphy, Neville Hall 238, murphy@math.umaine.edu
Description:
This course provides a unique opportunity for integrating different
mathematical areas and for exploring the connections among mathematical
and applied areas. Students will use innovative problem-solving techniques
and appropriate technology to develop models for analyzing various systems.
The course will also require the use of thoughtful writing and oral
communication. The mathematical techniques used will include topics
from discrete mathematics, differential equations, topology, numerical
analysis, probability, and statistics. Prerequisites: MAT 261, MAT 262,
and senior standing.
Grading:
All homework, classwork, and projects must be done neatly using
correct English grammar and spelling. No late assignments will be accepted.
Students may work together on assignments but all work must be done
cooperatively; no copying is allowed.
Syllabus
The syllabus will be updated throughout
the semester. For changes, see
http://www.umemat.maine.edu/faculty/crook/courses/mat401/mat401.html.
| T | 1/22 | Introduction to Modeling | Crook | |
| R | 1/24 | Introduction to Modeling | Crook | |
| T | 1/29 | Technical Writing | Brucher |
Pulse and Blood Flow HW Assignment
Due |
| R | 1/31 | Modeling Baseball | Franzosa | |
| T | 2/5 | Intro to Gummy Bears in Space |
Halteman | Pulse and Blood Flow HW Assignment
Corrections Due |
| R | 2/7 | Linear Regression |
Halteman | |
| T | 2/12 | Multiple Linear Regression | Halteman | Project 1: Calibration of GB Launcher
Due |
| W |
2/13 | Colloquium |
Michael Warboys |
Doing Geometry in Environmental
Space |
| R | 2/14 | Building Models | Halteman | |
| T | 2/19 | Building Your Project Model | Halteman | Project 2: GB Launcher Data Due |
| R | 2/21 | Gummy Bears in Space Modeling Contest | Halteman | Baseball Game Rules Due |
| R |
2/21 |
Colloquium |
Jan Holly |
The Mathematics of Perception |
| T | 2/26 | Topological Models | Franzosa | |
| R | 2/28 | Topological Models | Franzosa | Project 3: Written Report on GB
Launcher Model Due Topological Modeling HW Assignment Due |
| R |
2/28 |
Colloquium |
Murphy |
What is Mathematical about Mathematical
Finance? |
| T | 3/5 | Baseball Game Competition | Franzosa | |
| R | 3/7 | History of Modeling | Atzema | Baseball Game Report Due |
| T | 3/12 | SPRING BREAK | ||
| R | 3/14 | SPRING BREAK | ||
| T | 3/19 | SPRING BREAK | ||
| R | 3/21 | SPRING BREAK | ||
| T | 3/26 | Tips on Creating Models | Murphy | Modeling Contest Readings |
| R | 3/28 | More on Modeling | Murphy | |
| R |
3/28 |
Colloquium |
Sharon Crook |
Modeling Frequency Encoding in
Neurons |
| T | 4/2 | Creating a Model Formalism |
Murphy | Students Present Model Overviews |
| R | 4/4 | An modeling example: Pulling the Goalie |
Murphy | |
| T | 4/9 | Another modeling example | Murphy | |
| R | 4/11 | Presentation of Results | Murphy | Student Presentations Due |
| T | 4/16 | Presentation of Results |
Crook | |
| R | 4/18 | History of Modeling Discussion |
Atzema | History of Modeling Assignment Due |
| T | 4/23 | Intro to the phase plane |
Crook | |
| R | 4/25 | Group modeling projects: building models |
Crook | Phase Plane Homework Assignment
Due |
| T | 4/30 | Tips for creating posters and presentations |
Crook | Poster choice due |
| T |
4/30 |
End of Semester Cookout |
||
| R | 5/2 | Group modeling projects: model analysis |
Crook | Presentation Draft Revisions and
Analysis Due |
| T | 5/7 | Exit Survey/Evaluations |
Crook | |
| R | 5/9 | Presentation of Results |
Crook | Model Reports Due |
| Final | Exam | Reception and Poster Session | All Faculty | Tuesday, May 14, 10:30-12:30 |