Course Syllabus MATH 3120-001
Differential Equations
Fall semester 2009

Meeting times:

Monday,Wednesday and Friday 12:40 - 1:35.

Location:

KOM, Room 202

Instructor:

Jan Zijlstra, Ph.D.

Office :
e-mail/Phone/Fax:

Kirksey Old Main 257
zijlstra@mtsu.edu    (615) 898-2691/5422

Web Materials:

http:// www.mtsu.edu/~zijlstra

Office Hours:

  • Monday : 9:15 - 11:15 and 1:40 - 2:40

  • Tuesday: by appointment

  • Wednesday: 9:15 - 11:15 and 1:40 - 2:40

  • Thursday: 9:15 - 11:15 and 12:45 - 2:45

  • Friday: 9:15 - 11:15 and 1:40 - 2:40
     other times by appointment, please.

Prerequisite: Calculus III is a co-requisite and Math 1920 (Calculus II) must have been completed with a grade of C or higher.
Note: Contact your instructor immediately if these requirements have not been met.
Course Materials: Textbook: Fundamentals of Differential Equations and Boundary Value Problems by Nagle, Saff and Snider. Pearson Publishers, ISBN: 0 - 321 - 41921- 9
Calculator: Texas Instruments 83(plus) / 84 graphing calculator.
Materials: Engineering pad (bookstore), transparent straight-edge with cm-scale, and compasses.
Main Topics:
  • Mathematical models involving Differential Equations (DE)
  • First order DE and models:
    • Qualitative methods: Slopefields and the phase line
    • Numerical estimates: Eulers method
    • Quantitative analysis: Separable, Linear and Exact equations and substitution methods.
  • Second order Linear DE and Oscillators
    • Fundamental Solution of Homogeneous Linear DE
    • Solution of non-homogeneous linear DE: Variation of parameters and Green's Functions.   
  • Systems of Differential Equations
    • Phase Plane Analysis
    • Linear systems and Matrix Methods
    • Linearization of non-linear systems
  • The Laplace Transform for DE and systems of DE
    • Translation Theorems
    • Convolutions
    • Stepfunctions and the Dirac Delta function
Grading
and Scale :
Approx. 6 Exams   : 100 points each
Comprehensive Final Exam  : 200 points

A: 100-90, B+: 89-87, B:86-83, B-: 82-80, C+: 79-77, C:76-73, C-: 72-70, D+: 69-67, D:66-63, D-: 62-60, F: < 60 points.

Absences: Tests can be made up only with a Valid University Excuse, see Student Handbook for details.
Remarks:
  • Throughout the course, we will use the computer algebra system MAPLE to support computational and graphing tasks. No prior computer programming exposure is expected and introductory sessions will be held as soon as lab space is secured.
  • The laboratories are take-home sets of assignments which will address both theoretical and practical (modeling) questions.
  • Students who have pre-arranged honors credit for this course are expected to complete a written project
    (100 points) and give a corresponding oral presentation (50 points).    
  • If you have a disability that may require assistance or accomodation, or you have questions related to accomodations for  testing, note-takers, readers, etc., please contact me as soon as possible. You may also contact the Office of Disabled Student Services (898-2783) with questions about such services.
  • To retain Tennessee Education Lottery Scholarship eligibility, you must earn a cumulative TELS GPA of 2.75 after 24 attempted hours and a cumulative TELS GPA of 3.0 thereafter. A grade of C, D, F, or I in this class may negatively impact TELS eligibility. Dropping a class after 14 days may also impact eligibility; if you withdraw from this class and it results in an enrollment status of less than full time, you may lose eligibility for your lottery scholarship.
Important Dates:
  • August 31: First day of class.
  • September 7: Labor day Holiday - no classes.
  • September 11: Last day to drop with a class without a grade.
  • October 16: Last day to drop with a 'W'. No 'W' will be granted after this date.
  • October 17 - 20: Fall Break.
  • November 26-28: Thanksgiving Holidays - no classes.
  • December 10: Study Day - no classes.
  • Final Exam:Monday, December 14, 12:30 - 2:30.