SYLLABUS
MAT 274  Elementary Differential Equations
SPRING 2011*


  *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
E-mail:            sks@asu.edu
URL:                http://hahn.la.asu.edu/~suslov/index.html
Office Hours:  MWF, 9:45 - 10:30 pm or by appointment
Class Time:     MWF  10:45 -11:35 am
SLN#:               1002-10993
Location:         LL60
Text:    Elementary Differential Equations and Boundary Value Problems, by Boyce&DiPrima,  John Wiley & Sons, 9th 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.


Suggested MAT 274 Homework Problems (subject to change after 6.1)

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
            Solve 3,5; 8
2.5             20,22*
2.6             2-4*, 9*, 19*, 20*
3.1             2*,3*,4*,5*,11*,12*,16*
3.2             4*,13*,14,21,23*,24*
3.3             1,2,9*,11*,13*,19*                                                
3.4             1*,3,4*,9,10,11,12*,18,19,20,28*, 29*,32,33
3.5             2*,3,4*,11,12,15*,18*,24a,25a
3.6             2*,3,4*,8,14*,15,16*, 19*,22
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 to review


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 Monday, January 24.
HW B, sections 2.1 - 2.2: due to Monday,  January 31
HW C, sections 2.4 - 2.6: due to Friday, February 11
HW D, sections 3.1 - 3.2; due to March 2
HW E/F, sections 3.3,  3.5: 3.6 : due to  April 1
HW G, sections 7.1 - 7.5: recommended problems with * due to May 9

Tests

Test#1
 Friday, February 18
Review Wednesday, February 16
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
 Friday, April 1
(in our regular classroom)
Review Wednesday, March 30
Chapter 3,  sections: 3.1-3.3, 3.5, 3.6-3.7
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 parameters

Homework problems to review: with *

Test#3  Friday, April 22
Review Wednesday, April 21
Chapter 7, sections 7.1-7.6.
(a) matrices, eigenvalues and eigenvectors
(b) basic theory of systems of first order linear equations (Theorems Th 7.4.1-7.4.3)
(c) homogeneous linear systems with constant coefficients
(d) complex roots


Quizzes
Quiz#1  Monday,  January 21, sections 2.1-2.2
Quiz#2  Friday, February 11, sections 2.4-2.6
Quiz#3  Monday, March 2sections 3.1 - 3.2,
Quiz#4  Friday, March, 3.3, 3.5 (repeated roots), sections 3.4 (complex roots), 3.5 (reduction of order)
Quiz#5  Monday, April 8, 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  Friday, April 22, take home quiz (distributed in class)

Final Exam  Monday, May 9  in LL60, 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

Practice final
 
Review
Monday, May 2, LL60, 10:45 - 11:35 am