MATH 1050Q

Mathematical Modeling in the Environment

Spring 2010

Math 1050Q satisfies a Content Area 3: Science and Technology (CA3) General Education requirement.

Dmitriy Leykekhman

Office: MAR 195
: (860) 405-9294

Office Hours
: W 1:00 - 3:00 and by appointment
Open Door Policy: You are welcome to drop by to discuss any aspect of the course, anytime, on the days I am on campus-- Monday, Wednesday, and Friday.

General Information:

This course provides an interdisciplinary, introduction to several important environmental issues such  as ground water contamination, air pollution
and handling of hazardous materials. We consider the key physical and chemical processes, and some legal, political and ethical quesions, along with the
quantitative aspects involved in these issues. Students learn how mathematical models are used naturally and routinely to help analyze these issues fully.
Computers are used to keep virtual involvement in environmental issues  via the Internet; to keep track of data using  EXCEL spreadsheets; and to analyze
hazardous material case scenarios using a user friendly, interactive HazMat software called ALOHA.

Class Meeting Times/Place: Monday, Wednesday 11:00 a.m. - 12:15 p.m. Classroom  MAR 122, and Computer Lab 104.

                                                      All classes start in MAR 122 or MAR 104.

Computer Lab Operating Hours:    green ball  ???

Textbooks:                          Required: Mathematical Modeling in the Environment, by Charles R. Hadlock, MAA, 1998.
                                                      Required: Microsoft EXCEL.

Other Requirements:           Required: A simple Scientific Calculator.

Homework Policy:

Homework is assigned every class and collected every Wednesday. They are returned the following Monday with remarks and graded.
There are 2 - 6 exercises every week. Some homework assignments will be group projects.
The total weight of the homework grades is 20% of the total course grade.

General Education Component:

Math 1050Q satisfies a Content Area 3: Science and Technology (CA3) general education requirement. In addition, Math 1050Q satisfies the
"old" general education C (computer) requirement. According to UConn policy, this means that
students must obtain a passing grade on the
computer assignments in
order to pass this course. The computer assignments consist of all homework assignments involving Web Searches,
use of EXCEL, and use of  the interactive HazMat software ALOHA. 
Please, make sure you turn in all computer assignments!

Exam Schedule:                    Exam 1:  Wednesday, February 24 ,  11:00 a.m. - 12:15p.m.,  Room: MAR 122
Exam 2:  Wednesday, March 31,         11:00 a.m. - 12:15p.m.,  Room: MAR 122
                                                    Final Exam: Monday, May 3,    11:00a.m. - 1:00 p.m.,  Room: MAR 122

Grading Policy:                        Homework: 20%, Exam 1: 25%, Exam 2: 25%, Final Exam: 30%.

Links To Internet Resources:
           greenball  Math 1050 LINKS  

                                                      This page includes links to general and chapter specific information sites, software download sites (ALOHA, CAMEO),
                                                      online Calculator and  Conversion Tables sites, and more .

Syllabus:                             Assignments may occasionally vary according to progress in class.
                                                      Approximate schedule is below.
                                                      Please note: we will primarily be working with Part 1 (Chapters 1-4) of the text,
                                                      although some of the more elementary topics in Part 2 will also be covered.
                                                      A *  denotes an exercise using computers. All starred exercises MUST be handed in.

Weather Cancellation:                         greenball  Media sites for Avery Point campus weather cancellation information.


Date Chapter Topic Homework
Week 1 Wed. 1/20 1 Introduction (Slides) Briefly describe one enviromental disaster and the potential consequences.
Are these consequences global or local?

Chapter 2

Week 2 Mon. 1/25 2.1 Background to groundwater (Slides) page 11: Exercise 1*, 3*

Wed. 1/27 2.2 Physical Principles (Slides) page 15: Exercise 1*, 2*

Week 3 Mon. 2/1 2.3-2.4 Quantitative Issues (Slides)
Darcy's Law (Slides)

Wed. 2/3 2.4 Darcy's Law (cont.) (Slides) page 30-31: Exercises 1, 2, 3, 4

Week 4 Mon. 2/8 2.5-2.6 Interstitial Velocity. (Slides)
Discussion of Parameters.
page 36: Exercises 1, 2, 3

Wed. 2/10
Class Cancelled. Weather emergency.

Week 5 Mon. 2/15 2.7 Head Contour Diagrams. (Slides) page 44-45: Exercises 2*,3* (Excel)

Wed. 2/17 2.8 Determining Flux Direction Using
Data From Three Wells
page 51: Exercises 2

Week 6 Mon. 2/22
Review of Chapter 2

Wed. 2/24

Chapter 3

Week 7 Mon. 3/1 3.1 Background to air quality (Slides) page 59-60: Exercise 2*

Wed. 3/3 3.2 Physical Principles (Slides) page 72: Exercises 1, 2, 3, 5

Week 8 Mon. 3/8
Spring Break

Wed. 3/10
Spring Break

Week 9 Mon. 3/15 3.3-3.4 Typical Quantitative Issues. (Slides)
Exponential Functions
page 75: Exercise 3
page 79: Exercises 1*, 2*, 3*, 4*(EXCEL)

Wed. 3/17 3.5 One Dimensional Diffusion (Slides) page 83: Exercises 5*

Week 10 Mon. 3/22 3.6 Two Dimensional Diffusion (Slides) page 85: Exercises 1, 2*

Wed. 3/24 3.7 The Basic PLUME Model (Slides) page 95-96: Exercises 3*, 4*

Week 11 Mon. 3/29
Review of Chapter 3

Wed. 3/31

Chapter 4

Week 12 Mon. 4/5 4.1 Background To HazMat (Slides) page 108: Exercise 1

Wed. 4/7 4.2 HazMat Practice (Slides)

Week 13 Mon. 4/12 4.3.1 Physics And Chemistry Basics (Slides) page 113: Exercises 1,2

Wed. 4/14 4.3.2 Flammable Hazards (Slides) page 119: Exercises 1,4,5

Week 14 Mon. 4/19 4.3.3 Toxic Hazards (Slides)
Wed. 4/21 4.4 Typical Quantitative Issues (Slides)

Week 15 Mon. 4/26 4.5-4.6 Typical Quantitative Issues. Aloha. (Slides)
Wed. 4/28

Week 16 Mon. 5/3
Final Exam, 11:00 a.m.-1:00 p.m.

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This page is maintained by Dmitriy Leykekhman 
Last modified: 1/20/2010