SYLLABUS
MAT 274  Elementary Differential Equations
FALL 2008*


  *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:  MW, 11:45 - 12:30 pm, F, 1:15 - 2 pm, TTh 12-12:45 and 4:15-5 pm or by appointment
Class Time:    MWF  10:40 -11:30 am
SLN#:             75939     
Location:        SCOB 228
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.


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*,3,4,5*
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

* homework problem for grading


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

IMPORTANT INFO:

History of Mathematics Archive

Homework
HW A, review due to Wednesday, September 3.
HW B, sections 2.1 - 2.2: due to, Wednesday, September 8
HW C, sections 2.4 - 2.6: due to Wednesday, September 24
HW D, review due to Friday, October 3
HW E, sections 3.1 - 3.3, 3.5: due to Monday, October 20
HW F, sections 3.6 - 3.7: due to Monday, November 10
HW G, sections 7.1 - 7.5: recommended problems with * due to Monday, November 21

Tests

Test#1
 Thursday, October 2 and Friday, October 3,  in the testing center
Review Wednesday, October 1
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) Euler's method

Test#2
Monday, November 24
Review Friday, November 21
 Chapter 3,  sections: 3.1-3.3, 3.5, 3.6-3.7; Chapter 7, sections: 7.1-7.3. 7.5;
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

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


Quizzes
Quiz#1  Wednesday, September 8, sections 2.1-2.2
Quiz#2  Wednesday, September 24 , sections 2.4-2.6
Quiz#3  Monday, October 203.1 - 3.3, 3.5 (repeated roots)
Quiz#4  Friday, October 31, sections 3.4 (complex roots), 3.5 (reduction of order)
Quiz#5  Monday, November 10, Chapter 3: sections 3.1-3.3, 3.4 (complex roots), 3.5 (reduction of order), 3.6-3.7(nonhomogeneous equation, undetermined coefficients and variation of parameters) 
Quiz#6  Monday, December 8
Chapter 7, section 7.6
Chapter 6, sections 6.1, 6.2 are on the quiz:
(e)  complex eigenvalues
(f) Laplace transform 
Problems to review:
7.6            
2,3,9,10
6.1             5,6
6.2            
11,12,13,20

Final Exam  Monday, December 15   in SCOB 228, regular classroom, 9:50-11:40 am 

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
Monday, December 8 , SCOB 228, 10:45 - 11:35 am
Wednesday, December 10, SCOB 228, 11 am-  12 pm