Math 142: Mathematical Modeling

General

Lecture: MWF 9:00-9:50 AM, Geology 6704
Textbook: Richard Haberman, "Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow." ISBN 0-89871-408-7
Discussion: R 9:00-9:50 AM, Geology 6704

Instructor

Craig Schroeder

Office: MS 6310
Office Hours: MWF 10:00-11:30 AM (after class), M 4:00-5:00 PM

Email: craig@math.ucla.edu

Teaching Assistant

Chuyuan (Kelly) Fu

Office: MS 7601
Office Hours: W 2:00-3:00 PM, R 10:00-10:30 AM

Email: fuchuyuan@math.ucla.edu

Course Summary

Lecture, three hours; discussion, one hour. Prerequisites: courses 32B, 33B. Introduction to fundamental principles and spirit of applied mathematics. Emphasis on manner in which mathematical models are constructed for physical problems. Illustrations from many fields of endeavor, such as the physical sciences, biology, economics, and traffic dynamics. (From catalog)

Exams

Midterm: Monday, October 26, 2015, in class
Final: Wednesday, December 9, 2015, 11:30 AM - 2:30 PM, Geology 6704

Schedule of Lectures

Week	Lecture	Day	Sections	Homework

0	1	F	1-4	None

1	2	M	5-7	6.2 7.2
		3	W	8-9	9.4 9.5 9.6
		4	F	10-11	10.4 10.5

2	5	M	12-13	12.6 12.7 13.1
		6	W	14-15	14.2 14.3
		7	F	16-18	18.4 18.6

3	8	M	19-20	19.6
		9	W	21-22	21.3 22.1
		10	F	23-24	23.1 24.2

4	11	M	25-26	26.2 26.5
		12	W	27-28	27.2 27.3 28.7
		-	F	Review	None

5	-	M	Midterm	None
		13	W	56-58	57.2 57.3 57.6
		14	F	59-60	59.2 59.3 60.1

6	15	M	61-63	61.3 63.6 63.7
		16	W	64	64.1
		17	F	65-67	65.1 67.3 67.5

7	18	M	68-69	68.1 68.3
		-	W	Holiday	None
		19	F	70	70.1 70.3

8	20	M	71-72	71.1 71.9 72.5
		21	W	73-74	73.1 73.9 74.2
		22	F	75-78	77.1 77.2 78.2

9	23	M	*	Notes
		24	W	*	Notes
		-	F	Holiday	None

10	25	M	*	Notes
		26	W	*	Notes
		-	F	Review	None

* Lectures 23-26 will follow this introduction to kinetic theory to derive the ideal gas law from first principles.

Homework, Projects, and Exams

Week	Day	Date	Lectures	Assignment	Solution	Notes

2	R	Oct 8	1-4	-	pdf	Quiz 1
3	R	Oct 15	5-7	-	pdf	Quiz 2
4	R	Oct 22	8-10	-	pdf	Quiz 3
4	F	Oct 23	-	tex pdf	pdf	Project 1
5	M	Oct 26	1-12	-	pdf	Midterm
6	R	Nov 5	13-14	-	pdf	Quiz 4
7	R	Nov 12	15-17	-	pdf	Quiz 5
8	R	Nov 19	18-19	-	pdf	Quiz 6
8	F	Nov 20	-	tex pdf	pdf	Project 2
10	R	Dec 3	20-22	-	pdf	Quiz 7
-	W	Dec 9	1-26	-	pdf	Final

Group work

Group work is done during discussion section in groups. The problems and solutions will be posted after discussion in case you do not finish or would like to view the solutions.

Week	Assignment	Solution	Notes

1	pdf	pdf	Group work 1
2	pdf	pdf	Group work 2
3	pdf	pdf	Group work 3
4	pdf	pdf	Group work 4
5	pdf	pdf	Group work 5
6	pdf	pdf	Group work 6
7	pdf	pdf	Group work 7
8	pdf	pdf	Group work 8
9	pdf	pdf	Group work 9*
10	pdf	pdf	Group work 10

* This groupwork activity will be posted online Wednesday. There will be no discussion this week since Thursday is Thanksgiving.

Announcements

Welcome to Math 142, Mathematical Modeling.
Our textbook is available for free on campus here courtesy of the UCLA library.
You should be able to see your quiz, project, and exam grades on my.ucla.edu. If you cannot, please email me. Quizzes and projects will be returned in class.
If you wish to request an accommodation due to a disability, please contact the Office for Students with Disabilities as soon as possible at A255 Murphy Hall, (310) 825-1501, (310) 206-6083 (telephone device for the deaf). Website: www.osd.ucla.edu.
The syllabus has been posted.
Previous midterm and its solution.
There will be no homework for the last two weeks. There will, however, be groupwork both weeks, even though there is no discussion section for week 9. The groupwork is effectively your homework for these two weeks, though it will not be covered by a quiz.
You can use this utility to numerically solve simple conservation law PDEs.
Previous final and its solution.
Another final and its solution.