Math 13 Home | Course Information | Assignments
Schedule | ODE Software | Expectations


OVERVIEW
    Math 13 gives an introduction to differential equations, their use as models for physical systems, and methods for solving them. The course concentrates on first-order and second-order equations, and their applications to mathematical physics (e.g., mass--spring systems) and population biology.

    Topics covered include: Classification of ODE's, Direction Fields, Modelling Physical problems with ODE's, Separable Equations, Integrating Factors, Change of Variables, Numerical Methods and ODE Architect, Existence and Uniqueness, Linear Second-Order Equations with Constant Coefficients, Method of Undetermined Coefficients, Variation of Parameters, Higher-order Equations, and an Introduction to Systems of ODE's.

    Prerequisites: Math 11 and 12 or their equivalents, or permission of the instructor.
INSTRUCTOR
    Name:
    Office:
    Office Hours:
    Phone:
    E-mail:
    Lesley Ward
    Olin 1281
    Mondays and Thursdays 1:15 -- 2:30pm.
    909.607.6019
    ward at hmc.edu
TUTORS
    Name:
    Location:
    Times:
    Academic Excellence Tutors (AE)
    Riggs Room, Linde Activities Center (upstairs)
    9-11pm Tues, Thurs, Sun
GRADERS
    Names:
    Greg Borish, Laura Moyer,
    Parousia Rockstroh, Mutiara (Tia) Sondjaja
CLASS MEETINGS, Wed 19 Oct 2005 -- Fri 9 Oct 2005
    Section 1, 10am MWF, Jacobs JA B134
    Section 2, 11am MWF, Jacobs JA B134
TEXTBOOK
    Differential Equations: A Modeling Approach, by Robert Borrelli and Courtney Coleman. Second edition.
ASSIGNMENTS
    Please format your homework in accordance with the Mathematics Department Homework Guidelines. Also, please use the Good Problems skills you learned in Math 11/12.

    Written homework will be collected twice a week, on Tuesdays and Fridays. It is due by 1pm in the envelopes in the basket outside my office, Olin 1281. You are encouraged to discuss the homework with other members of the class, but you are expected to write up your solutions without any assistance. It is appropriate to acknowledge the assistance of others. I reserve the right to refuse to accept late homework for any reason.

    The HMC Honor Code applies to all aspects of Math 13. Note that some of the homework problems in this course have been assigned in previous semesters. Copying work from published solutions (or solutions of past students) is a violation of the HMC Honor Code and will be dealt with accordingly.

EXAMS
    There will be two tests. The test dates will be given in class.
GRADING
    Course grades will be calculated using the following percentages:

    Homework:
    Exam 1:
    Exam 2:
    30%
    35%
    35%
DISABILITIES
    Students who need disability-related accommodations are encouraged to discuss this with me as soon as possible.
HONOR CODE
    The Harvey Mudd College Honor Code applies in all matters of conduct concerning this course.
Last modified October, 2005 by ward