MTH244 Ð Spring 2009 Differential Equations Instructor Gerry Ladas
The theory of differential equations constitutes a language that scientists and engineers use to make careful mathematical statements about the real world. MTH 244 is a lively and exciting course which is easily accessible to students who have had two semester of calculus.
Ever since Newton (16421727), Differential Equations have been the basis of the scientific understanding of Nature.
Differential equations are equations, which involve derivatives of unknown functions. Differential equations appear frequently in mathematical models that describe reallife situations. This a because many natural laws and hypotheses can be translated via mathematical language into equations involving derivatives. For example, derivatives appear in physics as velocities and accelerations, in geometry as slopes, in biology as rates of growth of populations, in psychology as rates of learning, in chemistry as reaction rates, in economics as rates of change of the cost of living, and in finance as rates of growth of investments.
This course is an introduction to the subject of differential equations involving one independent variable. Skills useful in solving differential equations will be developed. In addition, students will be exposed to techniques which use differential equations to model complex physical phenomena. The material in this course is basic for further study in applied mathematics, physics, engineering, chemistry, biology, and many other areas of science and the humanities.
INSTUCTOR: Professor Gerry Ladas
OFFICE: Lippitt 202H
TELEPHONE: 8745592 (Office) 7898105 (Home) 8742709 (Department)
M  T  W  Th  F  

Prof Ladas Office Hrs Lippitt 202H 
11:4512:15 
12:201:00 
12:201:00 
2:003:00 (Lipitt 201) 

Tutoring in Lippitt 206 Andrew 
34  12:151:15  34  12:151:15  12 
Tutoring in Lippitt 206 Alex 
12  2:303:30 
Review Sessions for Exams are available each Monday before the Thursday Exams.
02/18/2009 Wednesday 05:00  07:00 PM CHAFEE 273
03/09/2009 Monday 05:00  07:00 PM CHAFEE 273
04/20/2009 Monday 05:00  07:00 PM CHAFEE 273
TEXT: Ordinary Differential Equations, 3rd Edition, by Finizio and Ladas,
Simon and Schuster
COURSE DESCRIPTION: We will cover most of the material in Chapters 17 but not necessarily in the order and way described in the text. You must attend classes and take notes and you are also expected to read thoroughly the material in the text. You need a programmable graphing calculator and you should learn at your own how to use MAPLE, MATHEMATICA, or some other program. In this course we will use the technology as a supplement to thought rather than a substitute for it.
TESTS: There will be three tests schedule on Thursday, Feb. 19, Thursday, March 12, and Thursday April 23, and a cumulative FINAL EXAM as scheduled by the Registrar. There will be regular Homeworks and irregular Quizzes. There will be no makeups for homeworks and quizzes.
GRADING: Three Tests: 300 points possible
Quizzes: 100 points possible
Homework: 100 points possible
FINAL EXAM: 200 points possible
TOTAL: 700 points possible
You need 420 points to pass with a D and you need 660 points to receive an A in this class. You will also receive an A in the class if your total in the three tests and homework + quizzes is more than 450 points.
Links: Problem 1 Problem 2 Practice 1 Homework 3 Quiz1 Quiz 2 Existence and Uniqueness Theorem Practice 2 Practice 3 Laplace Formulas Quiz4 Test3
Only 2 problems from each ÒHomework SetÓ will be graded, but you should submit complete solutions to all problems. Please print or type your solutions. Your homework should look neat and be stapled, otherwise it will not be graded. LATE HOMEWORK WILL NOT BE ACCEPTED.
Section Homework REVISED
1.3 p. 28: 1,3,5,6,9, 18,19,20,23,24
Do problems 23, 24, and 37 by using MAPLE
1.4 p. 40: 3, 5, 11, 12, 19, 24, 25, 27, 37, 39
1.7 p. 61: 1, 2, 8, 9
1.8 p. 69: 2, 3, 4, 5
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DUE 3/3/09
2.3 p. 98: 1, 2, 4, 5, 11
2.5 p. 112: 1, 2, 5, 6, 7, 8, 9, 10 ,20, 21
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DUE 3/10/09
2.5 p. 112: 27, 28, 29, 30, 31
2.5 Numerical Solutions of Differential Equations
THEORY OF LINEAR DIFFERENTIAL EQUATIONS
READ SECTIONS: 2.2, 2.4, 2.6, 2.7, 2.8 and 2.10
Solve Problems 2731 (instead, 27, 28, 29) in Section 2.5 by using MAPLE
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DUE 3/24/09
2.11 p. 144: 27, 29, 32, 39, 40, 41, 42, 43
Numerical Solutions of Differential Equations
APPLICATIONS: READ SECTIONS 2.1.1 AND 2.11.1
p. 84: 20
p. 113: 32, 33
p. 145: 48, 49
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2.12 p. 152: 1, 2, 3, 19, 26
Do Problems 19 and 26 in MAPLE
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DUE 3/31/09
3.2 p. 183: 1, 2, 3, 5, 10, 11, 12, 13, 15
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DUE 4/14/09
READ SECTIONS: 4.1 and 4.2
4.3 p. 222: 1, 3, 7, 9, 13, 23, 25, 37,38, 45
Numerical Solutions
Solve Problems 37, 38 and 45 in MAPLE
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DUE 4/21/09
READ SECTIONS: 5.1, 5.2, 5.3, AND 5.5
5.4 p. 262: 1, 2, 3, 4, 9, 10
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The last homework is the practice final exam and is DUE 4/23/09
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6.1 p. 292: 7, 12
6.2 p. 301: 1, 2
Numerical Solutions
2.7 p. 119: 16, 17, 18
2.8 p. 127: 2, 26, 28; Solve them in MAPLE
3.3 p. 200: 1, 2, 7, 8, 25