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Math 53
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Ordinary differential equations with Linear Algebra
Spring 2009
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Syllabus and textbook
The required textbook is Differential Equations by J. Brannan and W. Boyce, available at the bookstore and on reserve at the library.
The class is an introduction to ordinary differential equations. The material includes separation of variables, integrating factors, systems of equations, eigenvalues and characteristic equations, inhomogenous equations, the Laplace transform, stability, and numerical methods.
Prerequisites
Math 51, or familiarity with the following notions:
Derivative in one dimension;
Definition of the Riemann integral;
Fundamental theorem of calculus;
Elementary integration techniques, such as integration by parts and
substitutions;
Elementary vector calculus, including dot product;
3-by-3 determinants.
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Who, when and where
Lecture
Instructor: Laurent Demanet Contact info
Section 04: MWF 1:15p - 2:05p Room 380-380W
Section 02: MWF 2:15p - 3:05p Room 380-380Y
Office hours: MW 3:15p - 4:45p or by appointment
Room 380-382J
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Discussion
TA: David Ayala
Section 03: TTh 1:15p - 2:05p Room 380-380W
Section 12: TTh 2:15p - 3:05p Room McCullough 126
Office hours: M 4:00p - 5:30p W 2:30p - 4:00p Room 380N
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Discussion
TA: Kaiyuan Zhang
Section 05: TTh 11:00a - 11:50a Room 160-314
Section 06: TTh 10:00a - 10:50a Room McCullough 126
Office hours: W 2:00p - 5:00p Room 380G
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Lecture
Instructor: Pascal Romon
Section 01: MWF 10:00a - 10:50a Room 380-380X
Section 07: MWF 11:00a - 11:50a Room 380-380X
Office hours: MF 2:00a - 3:00a Th 5:30p - 6:30p Room 380-382E
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Discussion
TA: Lan-Hsuan Huang
Section 08: TTh 11:00a - 11:50a Room Herrint 195
Section 09: TTh 1:15p - 2:05p Room 380-380F
Office hours: Tu 4:00p-5:30p Th 9:00a-10:30a Room 381F
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Discussion
TA: Kamil Szczegot
Section 10: TTh 10:00a - 10:50a Room 380-380D
Section 11: TTh 2:15p - 3:05p Room 160-314
Office hours: T 11:00-12:00 and 3:15-4:15, and Th 11:00-12:00 room 380M
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Each student must select one lecture section and one discussion section.
The first day of class is Wednesday April 1. The drop deadline is April 26. There will be no class on Memorial day (May 25).
Exams and homework
There will be weekly homework, two midterm exams and one final
exam. Grading: homework 15%, first midterm 20%, second midterm 25%,
final 40%.
Exams
Rescheduling arrangements must be made at least 5 days in advance
if you have a course conflict with either midterm. The final is
normally not rescheduled. The first midterm will take place on Tuesday
April 21 from 7:00pm to 9:00pm in the following rooms: 320-105 for
Demanet's sections (TAs: Ayala and Zhang), and 420-41 for Romon's
sections (TAs: Huang and Szczegot). The second midterm will take place
on Tuesday May 19 from 7:00pm to 9:00pm in room Hewlett 200. The final
exam will take place on Friday, June 5th from 7:00pm to 10:00pm in the
Cubberly auditorium (CUBAUD). All the exams are open books and open
notes, but calculators, computers, and phones are not allowed.
Homework
Assignments are usually posted each Thursday and due to your TA
the following Thursday at 5PM (see exact dates on the right when in
doubt). No late copies will be accepted. You can only receive credit
for work turned in to your section leader, as you designate through
Coursework. It is okay to discuss the homework with others, but you
need to work by yourself on the final copy you'll turn in.
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Online course evaluation
We kindly ask that you complete an online course evaluation at the end
of the term, via Axess. Your opinion is very important to us!
Further help and advice
Practice first midterm exams: Spring 2008, Fall 2008.
Practice second midterm exams: Spring 2008, Fall 2007, yet another old second midterm.
Practice final exams: 2004 Fall final, 2005 Spring final, 2006 Fall final, 2007 Fall final, 2007 Fall final solutions, 2008 Spring final.
Confused about the material? Your first resource should be the office hours offered by the teaching assistants and the instructors. Office hours are also a good
time to give us feedback on the class. If you prefer to make anonymous comments, please leave a note in the instructor's mailbox.
Please write neat and complete solutions to the problem sets. "Neat" means well structured, not only esthetically, but also logically. "Complete"
means that the grader will need to see a sufficient amount of explanations and details to give you full credit, even if the question only asks for a numerical
answer.
The Center for teaching and
learning offers free walk-in tutoring and one-on-one appointments for
students in the 50's
sequence. Follow this link for times and locations. "The tutors do offer a different sort of help than TAs might. Our
tutors are undergraduates who have been trained to ask questions that lead students to come upon solutions on their own. The tutors have succeeded in the class in
the past."
The Stanford University
Mathematics Organization (SUMO) offers free walk-in tutoring for
students in the 50's sequence. Tutoring is available on Mondays 7:15 -
10:15 and Wednesdays 6:15 - 10:15 p.m. in room 380-381T of the math
building.
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