SYLLABUS
MAT 274  Elementary Differential Equations
SPRING 2002*


  *Important Note: All items on this syllabus are subject to change.
Any in-class announcement, verbal or written, is considered
official addendum to this syllabus.

Instructor:      Dr. Sergei Suslov
Office:             PSA 629
Phone:             965-8987
E-mail:   sks@asu.edu
URL:    http://hahn.la.asu.edu/~suslov/index.html
Office Hours:  MW, 3:00 - 3:30 pm; TTh, 3:40 - 4:30 pm
Text:    Elementary Differential Equations and Boundary Value Problems, by Boyce&DiPrima,
                         John Wiley & Sons, 7th edition
Prerequisite:   MAT 271 or equivalent
Exams:            There will be two regular in class exams (2*100);
                         homework and quizzes (100)
                         and a comprehensive final exam (200)
Grading Policy:
                         A = 90 - 100%
                         B = 80 - 89%
                         C = 70 - 79%
                         D = 60 - 69%
                         E = 0 - 59%
Material to be covered: Chapters 1-3, 6-7 will be covered
Make-up policy: No make-up exams will be given without notification.
                            Also, no late homework will be accepted for grading.



Course Description

F, S,  SS Introduction to ordinary differential equations, adapted to the needs of students in engineering and the sciences. MAT 272 or equivalent is recommended. Prerequisite: MAT 271 or equivalent.

See this description among other course descriptions for 200-level courses


Suggested MAT 274 Homework Problems

Section     Problems

1.1     3,4,10,14,16,20
2.1     1,6,14,16,20,29,31,34
2.2     5,6,10,11,14,21
2.4     3,5,6,8
2.5     15,21
2.6     2,3,8,14,19,22,25
2.7     1(a)-3(a)

3.1      2,3,4,5,11,12,16,28,30
3.2      2,3,4,13,14,17,23,24
3.3     1,2,9,15,16
3.4     1,3,4,9,10,11,12,18,19,20,29
3.5     2,3,4,11,12,24,25
3.6     2,3,4,8,14,15,16
3.7     2,3,4,6,7,14,15,16

6.1     5,6,8,9
6.2     2,3,6,12.13,16

7.1     2,3,5
7.2     1,2,4,10,11.23,24,26
7.3     16,17,20,21
7.4     Th 7.41-7.4.4
7.5     2,3,4,10,11, 15,16,29
7.6     2,3,6,9,10
 


Computer Algebra Help
Direction Fields with Maple 6:
deplot.mws
deplot.html
dfields.mws
dfields.html

IMPORTANT INFO:

History of Mathematics Archive

Homework
HW#1, sections 1.1, 2.1: due to Tuesday, January 29
HW#2, sections  2.2, 2.4-2.6: due to Tuesday, February 12
HW#3, sections 2.7,  3.1-3.3: due to Thursday, February 21
HW#4, sections 3.4-3.6: due to Tuesday, March 19
HW#5, sections   3.7, 7.1-7.3, 7.4-7.6: due to Thursday, April 18
HW#6, section 6.1-6.2:  due to Tuesday, April 30
 

Tests
Test#1  Thursday, February 21
Review Tuesday, February 19
Chapters 1-3, sections: 1.1-1.3 & 2.1-2.2,  2.4-2.8, 3.1-3.3
are on the test.
Topics:
(a) linear equations
(b) separable equations
(c) exact equations
(d) Fundamental theorem (Theorem 2.4.2)
(e) Euler's method
(f) Second order linear equations with constant coefficients
(g) Linear dependence and independence, Wronskian and Abel's theorem

Test#2 Thursday, April 18
Review Tuesday, April 16
Chapter 3,  sections: 3.4-3.7; Chapter 7, sections: 7.1-7.6 are on the test.
Topics:
(a) complex and repeated roots in the characteristic equation; reduction of order
(b) nonhomogeneous equations: method of undetermined coefficients, variation of paremeters
(c) matrices, eigenvalues and eigenvectors
(d) basic theory of systems of first order linear equations (Theorems Th 7.4.1-7.4.3)
(e) homogeneous linear systems with constant coefficients
(f)  complex eigenvalues
Homework problems to review:
3.4     9,10,11,12,18
3.5     2,3,4,11,12
3.6     2,3,4,8,14
3.7     2,3,4,14,15,16
7.1     2,3
7.2     1, 10,11
7.3     16,17,20
7.4     Th 7.4.1-7.4.3
7.5     2,4,15,16,29
7.6     2,3,10

Quizzes
Quiz#1 Thursday, January 24
Quiz#2 Tuesday, March 5, sections 3.4-3.5
Quiz#3 Tuesday, March 26, sections 3.6-3.7
Quiz#4 Tuesday, April 16, sections 7.1-7.6
Quiz#5 Thursday, April 25, sections 6.1-6.2

Final Exam  from 4:40 to 6:30 pm on Tuesday, May 7 in PSA 109, regular classroom
Topics:
(1) linear equations
(2) separable equations
(3) exact equations
(4) Fundamental theorem (Theorem 2.4.2)
(5) Euler's method
(6) Second order linear equations with constant coefficients
(7) Linear dependence and independence, Wronskian and Abel's theorem
(8) complex and repeated roots in the characteristic equation; reduction of order
(9) nonhomogeneous equations: method of undetermined coefficients, variation of paremeters
(10) matrices, eigenvalues and eigenvectors
(11) basic theory of systems of first order linear equations (Theorems Th 7.4.1-7.4.3)
(12) homogeneous linear systems with constant coefficients
(13)  complex eigenvalues
(14) Laplace transform
Reviews Tuesday, April 30, PSA 109, 4:40 - 5:50 pm and
                Wednesday, May 1, PSA 106, 9:00 - 10:00 am