Syllabus for Math 221

Differential Equations, Spring 1999, Moravian College.

Professor: Tom Linton, 404 Comenius Hall, campus phone (610) 861-1418, email: linton@moravian.edu
Office Hours: Monday 2-3 PM, Tuesday 11:30-12:30, Thursday 1-2 PM, or by appointment.
Class Meets: 10:20 to 11:10 AM on Monday, Wednesday and Friday. The Wednesday meeting is in Memorial 202 (the PC lab) and the on the other days we meet in Comenius 300.
Texts: (Primary) Differential Equations: A Modeling Perspective, by Borrelli and Coleman.
(Lab book) Differential Equations with Maple, 2nd Edition by Coombes et al. Both are required.
Technology: The software program Maple will be used extensively from the very beginning. No prior knowledge of Maple is assumed. A graphing calculator, such as the TI-83 or TI-85, will be very beneficial as well.

Overview:

Differential equations are equations involving an unknown function and its derivatives. Many problems in mathematics, engineering and several areas of science lead naturally to such expressions. This introductory course will feature modeling and graphical visualization as central themes, as well as covering the more traditional topics of solving differential equations algebraically. We will cover much of chapters 1 through 9 of the Borrelli text and most of the material in the Maple supplementary lab book. You should make a special effort to read the textbook before the section is covered in class.

Grades:

Exams 2 midterm exams (Feb 12 and March 19), 100 points each, and a cumulative 150 point final exam.
Maple Problem Sets 3 to 5 extensive problem sets worth 75 points each, from the Coombes lab book.
Quizzes Approximately one every other week, worth a total near 150 points.
Homework and
Class Activities		 Collected-Evaluated regularly and worth about 200 points.
Homework assignments and other relevant course information will appear at links accessible from Tom's Home Page, the URL is http://www.cs.moravian.edu/~linton. You should check the "Differential Equations Materials" link regularly. Late assignments will receive a 10% late penalty for each lecture period that they are late. While I encourage "group work" on certain assignments (homework, in class activities, some of the Maple activities), you should clearly acknowledge (on the assignment itself) all help you receive on all assignments. Failing to do so is plagiarism, which by the student handbook can result in an F for the course, or a zero for the assignment.

Differential Equations Class Schedule:

Additional information will appear in a timely fashion. BC = Borrelli Coleman text, LB = Coombes lab book
 
WEEK DATES SECTION(S) ASSIGNMENTS
   1 1-11 to 15 BC 1.1 and 1.2 

LB chp 1 to 3

 1.1 #1,2,5,6 Maple's numeric solver
1.2 #2ab,3d,5 
Problem set A due 1-15
   2 1-18 to 22 BC 1.3 and 1.4 

LB chp 4 and 5

 1.3 #1ab,2ad,3a,5abe,6ab,7bd,8b,9b,10b,11ad,12ad 
1.4 #3,4cf,5f,6a,7b,9a,11c,14b  Quiz 1
  3 1-25 to 29  BC 1.5 

LB chp 6 and 8

 1.5 #7,8,10 and (as class) 15 

Problem set B #2,9,12,16 sample soln B10
  4 2-1 to 5 BC 1.5 and 1.6 Systems with Maple's DEplot 
1.6 #2adf,3cf,4a
  5 2-8 to 12 BC 1.7 and 1.8 1.7 planar Maple worksheet
1.8 #1bc,2b,6 Cascading Systems with Maple.
  6 2-15 to 19 BC 2.1 

LB chp 7 and 8

 2.1 #1,2,6,9 
exam 1, sections 1.1 to 1.8 
  7 3-1 to 5 BC 2.2, 2.3 2.2 #1a,2b,4,5c,7b,10 Maple file.
2.3 #3,5a
  8 3-8 to 12   Spring Break
  9 3-15 to 19 BC 2.4 
LB chp 8		 2.4# 1b,2,3a,4,7 
Problem set C #1,4,8,10
 10 3-22 to 26 BC 2.5 and 2.6 2.5 #1,2 Maple file on classical numeric techniques
2.6 #2,4 Maple file.
 11 3-29 to 31 BC 3.1 and 3.3 3.1 #1,2 
3.3# 1bcd,2ab,3ab,5c,8b
 12 4-7 and 9 BC 3.2 exam 2 3.2 #1bf,2b,3 Maple file for 2nd order ODEs
 13 4-12 to 16 BC 3.4 to 6 3.4 # 1,2c,3b,c,4b,c 
3.5 # 1,3,4 
3.6 # 1a,2a,4,5b,d,6b,7b
 14 4-19 to 23 BC 5.1 and 5.2 5.1 #1c,e,2d,3b,4 Maple systems and springs 
5.2 #2a,b,3a Maple file for equil pts, cycles, nullclines
 15 4-26 to 30 systems 
series		  Maple file for Frobenius method.
16 5-04 final exam Memorial 202 1:30 to 4:30 PM

This page is maintained by Tom Linton, http://www.cs.moravian.edu/~linton and was last updated May 01, 1999.
Disclaimer: "The views expressed on this page are the responsibility of the mathematics department and do not necessarily reflect Moravian College or Moravian Theological Seminary policies or official positions."