The University of Massachusetts Boston

Department of Mathematics

MA310 Applied Ordinary Differential Equations, Summer 2005 5/31- 7/13

Instructor: Prof. Alfred Noël

Office : 3-175 Science Building

Phone : (617)-287-6458

Email : anoel@math.umb.edu

Url : http://www.math.umb.edu/~anoel

Class hours : M, T, W, Th 10:00 AM - 11:30 AM, W/1/56

Office hours: M, T, W, Th 1:30 PM – 2:30 PM

Text : Fundamentals of Differential Equations Sixth edition by Nagle Saff and Snider Pbl. Pearson Addison Wesley

Course Info: This is an introductory course in the theory of Ordinary Differential Equations, one of the most fundamental tools in Mathematics and Science. The students are expected to be mathematically mature enough to start dealing with concepts beyond Calculus and Linear Algebra. The goal of this course is to give to students a set of mathematical tools that they will need in order to pursue advanced studies in Mathematics, Physics, Chemistry, Engineering in particular and Science in general. Students who are concerned about their mathematical background should speak to me as soon as possible for advising. Students who have taken Calculus I, II, III and Linear Algebra should, in principle, be able to take this course. However, regardless of your background you will find the course to be very challenging. Consequently, you should not collaborate on homework and you should participate in class discussions. Also I strongly advise students to form discussions groups that meet outside of the class-room.

Material to be covered:

5/31 - 6/8

1.1 # 3, 5, 7, 9, 11

1.2 # 1 – 13 odd, 21 – 27 odd

1.3 # 1 – 7 odd

1.4 # 1 – 13 odd

2.2 # 1 – 27 odd

2.3 # 1 – 27 odd

2.6 # 1 – 32 odd

EXAM I 6/9

6/13 - 6/22

4.2 # 1 – 25 odd, 27 – 33 odd, 34, 35, 39, 41 – 47 odd

4.3 # 1 – 29 odd

4.4 # 1 – 36 odd

4.5 # 1 – 40 odd

5.2 # 1 – 28 odd

5.3

5.4 # 1 – 14 odd

7.2 # 1 – 29 odd

EXAM II 6/23

6/27 – 7/12

7.3 # 1 – 35 odd

7.4 # 1 – 37 odd

7.5 # 1 – 27 odd

7.6 NOT COVERED

7.7 # 1 – 21 odd

7.9 # 1 – 19 odd

8.3 # 1 – 27 odd 34

EXAM III 7/13

Grading Procedures: Each exam is worth 30%. Class Participation 10%

THERE WILL BE NO MAKEUP EXAMS.

STUDENTS ARE RESPONSIBLE FOR MATERIAL COVERED IN CLASS.