MATH 3200-001: ELEMENTARY DIFFERENTIAL EQUATIONS
Fall 1997, University of Colorado Denver
http://math.ucdenver.edu/~aknyazev/teaching/97/3200

PREREQUISITE:
MATH 2411 (Analytical Geometry and Calculus II) and MATH 3191 (Applied Linear Algebra)
The course will require strong knowledge in calculus, a basic knowledge of linear algebra, and familiarity with the complex plane. A brief review will be presented if necessary.

HOURS: MW 6:55-8:10 pm (Sci 327)

INSTRUCTOR:
Prof. Andrew Knyazev
Office: CU (Dravo Bldg) 644. Phone: 556-8102
Office hours: Tue 3pm - 6pm (or by appoinment)
WWW: http://math.ucdenver.edu/~aknyazev

Students are welcome to communicate with each other and the teacher on-line using the Web page http://math.ucdenver.edu/~aknyazev/teaching/97/3200/comments

TEXTBOOK:
M.L. Abell and J.P. Braselton, Modern Differential Equations: Theory, Applications, Technology, 1st Edition (1996) Saunders College Publishing, Harcourt Brace College Publishers.

SUBJECT:
Systematic introduction to ordinary differential equations. Applications will be covered if time allows, but will not be in the tests.

GOALS:
Students will learn most classical methods for solving ODE's and systems of the standard types.

CONTENTS:
The class will follow the outline below, touching on each major topic in a depth that will be determined by the pace of the class.

• Aug 25-27: Introduction (1.1-1.3, 1.5). Trial test . Homework 1 .
• Sep 3-15: First-Order Ordinary Differential Equations (2.1-2.4). Homework 2 .
• Sep 17: Revision and Applications (3.2-3.7). Quiz 1.
• Sep 22: Test 1 (1.1-1.3, 2.1-2.4)
• Sep 24 - Oct 20: Higher-Order Differential Equations (4.1-4.4, 4.6-4.7) Homework 3 .
• Oct 22: Revision and Applications (5.1-5.4). Quiz 2.
• Oct 27: Test 2 (4.1-4.4, 4.6-4.7)
• Oct 29 - Nov 24: Systems of ODE (8.1-8.5) Homework 4 .
• Nov 26 - Dec 1: Revision and Applications (9.1). Quiz 3.
• Dec 3: Test 3 (8.1-8.5)
• Dec 8-10: Revision
• Dec 15: Final (comprehensive)
• Dec 17: Grade announcement and Make-ups

GRADING:
Tests 1, 2, 3 - 20% each, Quizzes 1,2,3 - 5% each, Final - 20%, Homeworks - 5%.
Each problem graded on the scale:
A=4 perfect, 3=B=OK, something little wrong, 2=C something substantial missing or wrong, 1=D still some small progress, 0=F no credit.
Extra credit will be given for problems solved on board in the class. Every homework problem carries the same weight toward the homework share of the grade. Missed test (with a good justification) can be made up. Tests are open book in a multiple choice form. No calculators.
Preliminary grades will be distributed during the semester. Final grades will be announced before the end of the semester.

No quizz make-ups accepted. Exams make-ups only with a very strong justification. All exams are in class. The only materials students are allowed to bring to the exam are writing instruments and erasers with the exeption of specially announced cases. All exams and quizzes are in a multiple choice form.