Ordinary Differential Equations and Linear Algebra Syllabus
fall 2003

Instructor: Evan Haskell, LCB 306, 581-6195, haskell@math.utah.edu

Info on the web: http://www.math.utah.edu/~haskell/2250

Office Hour: Thursday 5:00-6:00pm or by appointment

Teaching Assistants:

Nathan Albin, JWB 321, 585-6845 albin@math.utah.edu
Kazuma Shimomoto, JWB 319, 581-6638, shimomot@math.utah.edu

Class Schedule: TR, 6:00-7:30 pm, JFB 107.

Textbook: Differential Equations & Linear Algebra C.H. Edwards Jr. and David E. Penney

The Course. This course is an introduction to differential equations, and how they are used to model problems arising in science and engineering. Linear algebra is introduced as a tool for analyzing systems of differential equations, as well as standard linear equations. Computer projects will be assigned to enhance the material.

computer projects: There will be three computer projects assigned during the semester, related to the classroom material. They will be written in the software package MAPLE. In addition, you will be asked to use this computer software to check various homework calculations from the linear algebra and Laplace transform sections of the course. There is a Math Deparment Computer Lab at which you all automatically have accounts, and there are other labs around campus where Maple is also available, for example at the College of Engineering and Marriott Library. There will tutoring center support for these projects (and for your other homework) as well. There will be introductory sessions to the lab and to Maple, and these will be announced in class. The Math Department Lab is located in the Rushing Student Center, between JWB and LCB. More information about the lab can be found at the Math Department web page for undergraduates, www.math.utah.edu/ugrad .

Tutoring and help sessions: There will be special help sessions for Math 2250 students, and these will be held on Tuesdays. (Homework will be due on Thursdays.) Currently the sessions are scheduled as follows:
Tuesday 7:30-8:20am EMCB 101
Tuesday 10:45-11:35am LS 101
Tuesday 12:55-1:45pm JWB 339
Tuesday 5:00-5:50pm LCB 152
Students may attend as many or as few of these sessions as they wish. If you will be attending a session and know of a specific question you have, please send the TA an advance email.
In addition to the special 2250 sessions, the Math Department Tutoring Center is located in Rushing Student Center and is open for free tutoring from 8 a.m. to 8 p.m. on M-Th, and from 8 a.m. to 2 p.m. on Friday. Some, but not all of the math tutors welcome questions from Math 2250 students. To see the times and specialities of various tutors, consult the web address www.math.utah.edu/ugrad/tutoring.html . The tutoring center will arrange special course specific help sections for groups of 5 or more. Note that not all the students need to come from the same section of a course.

Grades: There will be two midterms, a comprehensive final examination, and homework. Each midterm will count for 20% of your grade, homework from the book will count for 20%, computer labs 10%, and the final exam will make up the remaining 30%. The book homework will be assigned daily and collected on the Thursday of the following week. The three Maple project assignment and collection dates are shown on the syllabus. A homework grader will partially grade your book homework and Maple assignments. The value of carefully working homework problems is that mathematics (like anything) must be practiced and experienced to be learned.

Incompletes:
The grade ``incomplete'' will be given only when, during the final stages of the course, the student is prevented by circumstances beyond his or her control to complete the course.

Withdrawals:
Last day to drop classes: August 29.
Last day to withdraw from classes: October 17.

ADA:
The ``American with Disabilities Act'' requires that reasonable accomodations be made for students with physical, sensory, cognitive, systemic, learning and psychiatric disabilities. Please contact me at the beginning of this semester to discuss any such accomodation for the course.

The table below gives the dates of the midterms, and the schedule of the sections we will cover throughout the semester.


WEEK
SECTIONS
DESCRIPTION
August 18:

1.1,1.2

modeling and differential equations, integral solutions
August 25:

1.3,1.4,1.5

direction fiels, separable equations and 1st order equations. MAPLE I project begins.
September 1 :

2.1,2.2

 population models, equilibrium solutions and stability
September 8:

2.3,2.4,2.6,3.1

acceleration-velocity models, numerical techniques, intro to linear systems. TURN IN MAPLE I.
September 15:

3.2,3.3,3.4

Matrices, Gaussian elmination and matrix operations
September 22:

3.5,3.6

inverses and determinants
September 29:

September 30

EXAM I chapters 1,2,3
October 6:

4.1,4.2,4.3,4.4

Vector spaces, linear independence, bases
October 13:

4.5,5.1,5.2

general vector spaces, 2nd order equations and general solution of linear equations.
October 20:

5.3,5.4,5.5

homogeneous equations, those that aren't and mechanical vibrations. BEGIN MAPLE II
October 27:

5.5,5.6,6.1

forced oscillations and resonance, eigenvalues.
November 3:

6.2,7.1

diagonalization of matrices, 1st order systems. TURN IN MAPLE II. EXAM II (November 6).
November 10:

7.2,7.3,7.4

eigenvalue method for solving linear systems. BEGIN MAPLE III.
November 17:

7.4,10.1,10.2

Laplace Transform
November 24:

10.3,10.4

More Laplace Transform
December 1:

10.4,10.5

Even more Laplace Transform, MAPLE III DUE