Math 53

Ordinary differential equations with Linear Algebra

Spring 2009


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.
  • 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

    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

    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

    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

    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

    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

    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.


    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.