SYLLABUS
MAT 274  Elementary Differential Equations
FALL 2007*


  *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:  MTuWThF, 12:40 - 13:40 or by appointment
Class Time:    MWF  10:40 -11:30 am
SLN#:              80112
Location:         PSA 109
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 three regular in class exams (3*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 Wednesday, September 5.
HW#2, sections 2.4 - 2.6: due to Friday, September 21.

Tests
Test#1
Monday, October 1,  Tuesday,  October 2 in the testing center

Review Thursday, M
Chapter 2, sections:  2.1-2.2,  2.4-2.6 are on the test.
Topics:
(a) linear equations
(b) separable equations
(c) exact equations
(d) Fundamental theorem (Theorem 2.4.2)
(e) Eulers method
Review Monday, October 1

Test#2 Thursday, A

<> 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:

(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
(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  Wednesday, September 5, sections 2.1-2.2
Quiz#2 Friday, September 21, sections 2.4-2.6
Quiz#3 Thursday, Ma, sections 3.6-3.7
Quiz#4 Thursday, Ap, sections 7.1-7.6
Quiz#5 Tuesday, Ap , sections 6.1-6.2

Final Exam  from 12:20 to 2:10 pm on Thursday, in PSA 109, 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, M gg2, PSA 308, 13:40 - 14:55 and
                Wednesday, Maay , PSA xxx, 11:00 am - 12:30 pm