Math 110 Partial Differential Equations Fall, 2003
Instructor- James Lin
Office- 7157 APM email address: jimlin@euclid.ucsd.edu
Office Hours: Wed 1:30-2:30, Thurs 12-1
Course times- MWF 8-8:50 am Place: HSS 1315
TA: Smith, Barry Office
AP&M 6402C Email bsmith@math.ucsd.edu Recitation section:
M3, HSS 2154 Office Hours: W3:30-4:30, F11-12
Text: Powers, Boundary Value Problems, Harcourt/Academic Press 4th
edition
Announcements-1. The
breakdown for Midterm 1 is out of 65 points, 57+ A (9), 45+ B (7), 30+ C (4),
25+ D (5). The numbers in parentheses
denote the number of students getting that score.
Goals of the Course-This is a course in Partial Differential Equations
with applications to engineering and physics. We will introduce you to
the ideas of Fourier series. They will be used to solve some partial
differential equations. There will be three
types of problems which we will consider: the heat equation, the wave equation
and the potential equation. Problems of these kinds are amenable to separation
of variables which reduce the problems to ordinary differential equations.
Homework can be long and involve complicated integration problems. A minor
error in calculation will produce an incorrect solution. Part of the course,
therefore, is developing the facility to check over your answers and to write
up your work clearly so that an error can be easily detected.
Mathematics is a participatory activity. The student should actively join in
the lectures for maximum understanding. This means that students will ask
questions, talk with other students and debate the solutions and meanings of
various problems. The student should not totally rely on lectures as the
source of information. Students should also develop enough confidence so that
they can read the book on their own. It is very important that you read the
assigned material in advance of the lecture. This exercise will train you to
eventually be able to read math books on your own.
Prerequisites- Math 20D and 20F or consent of the
instructor. Students will have to review ordinary differential
equations, integration by parts, substitution, partial derivatives, and also
the use of integral tables. Sine, cosine, hyperbolic sine and hyperbolic cosine
and well as some ideas in linear algebra will be applied in this course. Also,
we will be using the ideas of linear transformation, kernel, orthonormal functions and basis as described in Math
20F.
The lectures will be used to explain various concepts.
Grades Students should feel that the content of their questions in class
will not be used to evaluate or grade the student. Only the homework, midterm
and final will be used for that purpose.
We will determine grades in the following way:
Homework
100 pts
Class Participation
10
pts
Midterm 1
Midterm 2
evening
Optional Final 190 pts
(replaces midterms if turned in)
Total
300 pts
To obtain a C grade without taking the final, students will
have to score on their midterms at least 10 points below the lowest C grade
determined by the curve on the two midterms.
Homework: There will be weekly homework assignments. Students will be
required to work in groups of three and turn in one homework assignment for
each group. Students will work on homework by themselves, then
get together in groups for at least one hour each week to discuss the solutions
with their group. Selected problems from the homework will be graded depending
on the resources we are provided. Students should feel free to ask the
instructor at the beginning of each class about various homework problems.
Homework is due at the beginning of Monday's section. Homework must be turned
in with 2-3 names appearing at the top of the homework. No individual homework
will be accepted. Full solutions should be written out with answers
boxed. Many of the assigned problems already have numerical answers given. The
homework must show how one arrives at the numerical answer to obtain any
credit. Solutions will appear in Soft Reserves a day after the homework is
due. In the past, the homework curve has
been very high. In the past it is not
uncommon for 90% correct to be a B on the curve, so students should expect to
submit complete and correct answers to each assignment.
Class Participation-Attending lecture and section
does not qualify for class participation points. Students will be expected to present problem solutions on the board as
well as ask questions. Questions should be addressing specific issues that are
not understood and should be phrased to describe where you got stuck. So for
example, asking me to do problem 9 without any remarks about what you tried
will not be acceptable. We are mainly
looking for questions that shed new light on a problem or highlight an area
where a concept might be unclear.
I expect that this class will be interactive. There will have to be actual
inquiries, and demonstration of attempts to solve problems. Special
consideration will be given to students who see the instructor or TA during
office hours or students who volunteer to share their problems on the
board.
Midterm and
Final-. We have scheduled Midterm 1 on Nov 3 8-8:50 am in
HSS 1315 and Midterm 2 December 3, 7-9 pm in Peterson 108. Exams will require blue books which can be
obtained at the student store. There will be no makeups. The final is scheduled
for Wednesday Dec 10,
Syllabus- We intend to cover parts of Chapters 0-4.
Homework: All homework must be turned in in groups of two or three.
The first assignment will be due at the beginning of section, October 6.
-------------------------------------------------------------------------------------------------------------
Homework #1 due Oct 6 Section
0.1 #1,2,3,7,8,16
Section
0.2 #1,2,3,4,5
Section
0.3 #1
Homework #2
due Oct 13 Section
1.1 #1,2,3,6,7
Section 1.2#1,2,5,7,10
Homework #3 due Oct 20 Section
1.3 #1a,b,2
Section
1.4 #1,3,5
Section
1.5 #1,3,5,8
Miscellaneous
Exercises p. 124 #1,2,3
Homework #4 due Oct 27
Section 2.2 #1,3,5,6
Section
2.3 #1,5,7,8
Section
2.4 #1,5,6,8
Homework #5 due Nov 3 Section
2.5 #1,3,4,5,11
Section
2.6 #1
Section
2.7 #1,2,3a,b,c
Homework #6 due Nov 10 Section
3.2 #1,2,5,7,9,13
Section
4.1 #1,2,7,
Section
4.2 #1,5,
Homework #7 due Nov 17 Section
4.4 #1,5
Section
4.5 #1
Section 5.3 #1,4,5,7
Homework #8 due Nov 24 Section
5.4 #2,3
Section
5.5 #1,2,8,9
Homework #9 due Dec 1 Section
5.6 #1,3
Math 110 CONTRACT WITH STUDENT-
1. I understand that I will have to invest at least 5 hours per week to
prepare homework and prepare for exams.
2. I will actively participate in the course, asking questions about the
material I do not understand. I will not wait for the instructor to guess what
I do not understand.
3. I will work on the homework by myself. After writing up
solutions, I will meet with 2 other students and turn in a single homework
solution set with complete solutions. It will not be sufficient to
provide a brief numerical answer. The solution must indicate all steps
necessary to solve the problem.
4. There will be no makeup exams or homework.
I agree to the above requirements for taking the course:
______________________________________________
name
Here are the names of the students in my homework group:
Signature_____________________________________Date_________________