SYLLABUS
MAT 274  Elementary Differential Equations
SPRING 2006*


  *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 621
Phone:             (480) 965-8987
E-mail:   sks@asu.edu
URL:    http://hahn.la.asu.edu/~suslov/index.html
Office Hours:  TTh, 12:40 - 13:30, 15:05 - 15:40 or by appointment
Class Time:    TTh, 1:40 - 2:55 pm
SLN#:              53386
Location:         PSA 308
Text:    Elementary Differential Equations and Boundary Value Problems, by Boyce&DiPrima,  John Wiley & Sons, 8th 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(A-, A, A+) = 90 - 100%
                         B(B-, B, 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

2.1             Do only part ( c ) of 1,6; 14,16,20,28,30.
2.2             1,5,6; do only part ( a ) of 10,11,14; 21
2.4
            3,5,6,8
2.5             20,22
2.6             2-4, 9, 19, 20
3.1             2,3,4,5,11,12,16,27
3.2             4,12,14,21,23,24
3.3             1,2,9,11,13                                                 
3.4             1,3,4,9,10,11,12,18,19,20,29,32,33
3.5             2,3,4,11,12,18,24,25
3.6             2,3,4,8,14,15,16, 19a,,22a
3.7             2,3,4,7,14,16
6.1             5,6,8,9
6.2            
1,2,3,5,6,11,12,13,16,20
7.1             2,34,5
7.2
            1,2,3
7.3             13,15,19,21
7.5            
2,3,4,7,8,15,16,29
7.6            
2,3,6,9,10,11,12


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

IMPORTANT INFO:

History of Mathematics Archive

Homework
HW#1, sections 2.1 - 2.2: due to Thursday, February 2
HW#2, sections 2.4 - 2.5, 2.6: due to Tuesday, February 14
HW#3, sections 3.1 - 3.3: due to Tuesday, February 28
HW#4, sections 3.4 - 3.5: due to Tuesday, March 7
HW#5, sections 3.6 - 3.7: due to Tuesday, March 28
HW#6, sections 7.1 - 7.6: due to Tuesday, April 18
HW#7, sections 6.1 - 6.2: due to Thursday, April 27

Tests
Test#1
Tuesday, March 7

Review Thursday, March 2
Chapters 2-3, sections:  2.1-2.2,  2.4-2.6, 3.1-3.5 are on the test.
Topics:
(a) linear equations
(b) separable equations
(c) exact equations
(d) Fundamental theorem (Theorem 2.4.2)
(e) second order linear equations with constant coefficients
(f) complex and repeated roots in the characteristic equation; reduction of order
(g) linear dependence and independence, Wronskian and Abel's theorem

Test#2 Thursday, April 27 
Review Tuesday, April 25 
Chapter 3,  sections: 3.6-3.7; Chapter 7, sections: 7.1-7.6; Chapter 6, sections 6.1, 6.2 are on the test.
Topics:
(a) nonhomogeneous equations: method of undetermined coefficients, variation of paremeters
(b) matrices, eigenvalues and eigenvectors
(c) basic theory of systems of first order linear equations (Theorems Th 7.4.1-7.4.3)
(d) homogeneous linear systems with constant coefficients
(e)  complex eigenvalues
(f) Laplace transform
Homework problems to review:
3.6             2,3,4
3.7             7,14,16
7.2             1
7.3             15,19
7.5            
2,3,,7,8,15,16
7.6            
2,3,9,10
6.1             5,6
6.2            
11,12,13,20


Quizzes
Quiz#1 Thursday, January  26, section 2.1
Quiz#2 Tuesday, February 14, sections 2.2, 2.6
Quiz#3 Thursday, March 30, sections 3.6-3.7
Quiz#4 Thursday, April 13, sections 7.1-7.6
Quiz#5 Tuesday, April 25 , sections 6.1-6.2

Final Exam  from 12:20 to 2:10 pm on Thursday, May 4  in PSA 308, regular classroom
Topics:
(1) linear equations
(2) separable equations
(3) exact equations
(4) Fundamental theorem (Theorem 2.4.2)  
(5) Second order linear equations with constant coefficients
(6) Linear dependence and independence, Wronskian and Abel's theorem
(7) complex and repeated roots in the characteristic equation; reduction of order
(8) nonhomogeneous equations: method of undetermined coefficients, variation of paremeters
(9) matrices, eigenvalues and eigenvectors
(10) basic theory of systems of first order linear equations (Theorems Th 7.4.1-7.4.3)
(11) homogeneous linear systems with constant coefficients
(12)  complex eigenvalues
(13) Laplace transform
Reviews Tuesday, May 2, PSA 308, 13:40 - 14:55 and
                Wednesday, May 3, PSA 304, 11:00 am - 12:30 pm