WMU

MATH 3740: Differential Equations and Linear Algebra

news   Schedule for Week 15.   

                Course Info

     Weekly  Schedules

Course description: This course includes most of the standard material for differential equations: first-order differential equations and analytic methods of their solution, mathematical modeling using differential equations, numerical methods for solving differential equations, linear equations of higher order, systems of linear and nonlinear equations, stability of equilibrium solutions, Laplace transform methods. In addition some related material from linear algebra is included. We use a computer algebra system Maple 11 in this course for some computer projects. 
It is expected that you will work most of the basic exercises at the end of each section. A list of additional problems to work will be placed at the course webpage (see homework problems). It is recommended to  write down solutions of these problems and keep your homework to use in  preparation for quizzes, mid-term and final exams. Every week we'll have a quiz containing two or three problems analogous to ones solved in class and from homework. If you have any questions about problems, please ask them in class or  during office hours.

Textbook:  C.H.Edwards,Jr. and D.E.Penney , Differential Equations and Linear Algebra , (Second Edition) Prentice Hall.
Complementary useful reading for problems and solutions manual is available on the Web via WMU Library page in the electronic form: Bronson, R.     Schaum’s outline of theory and problems of differential equations [electronic resource]

Office Hours:  Monday: 11-11:50 am, 2:00-2:50, Wednesday:   2:00-3:50 pm, in Everett Tower 5527,
Math 3740 meets on Monday and Wednesday  from 4 pm to 5:40 pm  at Rood 3393
Detailed schedule  can be found here.

 

Week 15: April 14 - April 18


Week 14: April 7 - April 11

Topics for study and reading :
Quiz on Wednesday, April 9 : problems from Sections 7.3 and 8.1.

Week 13:  March 31 - April 04

Topics for study and reading :
Quiz on Wednesday, : problems from Sections 7.1 and 7.3.

Week 12:   March 24 - March 28

Topics for study and reading :
Quiz on Wednesday, March 26 : problems from Section 5.5, 5.6.

Week 11:  March 17 - March 21

Topics for study and reading :
Midterm exam on Wednesday includes all topics from Chapters 3 and  Chapter 5 (Sections 5.1-5.5).

Week 10: March 10 - March 14

Topics for study and reading :

Quiz on  Wednesday : Sections 5.3, 5.4

Week 9:  March 03 - March 07

Topics for study and reading :

Spring break - Reading week

Week 8: February 25 - February 29

Topics for study and reading :

Quiz on Wednesday,  February 27  :  problems from Section 5.1,5.2.

Week 7:  February 18 - February 22

Topics for study and reading :
Quiz on Wednesday, February 20, contains problems from Sections 3.1-3-.6.

Week 6: February 11 - February 15

Topics for study and reading :
First mid-term exam  on Monday, February 11 (sample exam) will cover Chapters 1 and 2 (sections 2.1-2.3).
Second Maple Computer project is due to Wednesday, February 13  . Download Maple worksheets:

Week 5: February 04 - February 08

  Topics for study and reading :

Computer project #1 is due to Monday, February 4   . Quiz on Wednesday:  Sections 2.2 and 2.3.

Week 4:January 28 - February 1

      Topics for study and reading  

Quiz on   (Sections 1.6, 2.1): . We'll meet at Computer Lab (Rood Hall) on Monday to work on Maple computer project.  Maple Computer Project #1 is due to  Monday, February 4.

Week 3: January 21 - January 25

Topics for study and reading   Quiz on  Wednesday, January 23 : problems from Sections 1.5, 1.6 (substitution methods).

Week 2: January 14 - January 18

Topics for study and reading 

Week 1: January 07 - January 11

Topics for study and reading 

Quiz on Wednesday, January 9, problems from Sections 1.1, 1.2 similar to   homework problems Note that problems marked  with *  are extra.

Section 1.1 (page 8) 1, 3, 4, 9, 17, 19, 27, 31*, 32, 33,35

Section 1.2 (page 16) 1, 2, 5, 6, 14, 21, 23

Section 1.3 (page 26) 21, 30, 32 
 
Section 1.4 (page 41) 1, 2, 5, 6, 11, 10, 13, 20, 25, 30, 33, 36, 43, 44, 45, 46,51

Section 1.5 (page 54) 1, 3, 4, 5, 6, 11, 20, 27, 33, 41

Section 1.6 (page 71)  1, 2, 8, 11, 14, 15, 16, 19, 20, 21, 32, 34.

Section  2.1 (page 86) 1, 3, 5, 7, 8, 11, 23, 27, 28

Section 2.2  (page 96)   1, 3, 6, 9, 11, 14, 15, 21

Section 2.3  (page 106)   2, 4, 7, 10, 11, 20, 28

Section 2.4 (page 119)  1, 3, 4, 9, 12, 14

Section 2.6 (page 141)  2, 4, 14, 15

Section 3.1 (page 152) 1, 5, 7, 11, 17, 23, 31

Section 3.2 (page 162) 1, 5, 11, 19, 24*,

Section 3.3 (page 170) 1, 3, 17

Section 3.4 (page 182) 1, 3, 5, 7, 14, 17, 27*

Section 3.5 (page 194) 1, 3, 25, 30, 32

Section 3.6 (page 212) 1, 2, 47, 48, 52

Section 4.3 (page 248) 17, 18, 19

Section 5.1 (page 294)   1, 5, 8, 11, 12, 13, 14, 16, 20, 23, 26, 27, 33, 34, 36. , 41, 43, 46, 48,

Section 5.2 (page 306) 1,  4, 7, 9, 11, 13, 14, 18, 21, 24

Section 5.3 (page 319)  1,4,5,6, 11,13, 20, 21, 24, 25, 27, 30, 33, 39, 43,

Section 5.4 (page 331)  1, 3, 4, 5, 8, , 10, 13, 15, 24, 27

Section 5.5 (page 346) 1, 4, 7, 11, 12, 17, 21, 26, 36, 41, 44,  47, 58

Section 5.6 (page 357) 2, 5, 10, 15, 20, 22, 26, 28, 30

Section 7.1  (page 400)  1, 2, 5, 8, , 9, 11, 15, 21, 28

Section 7.2 (page 413)  1, 3 , 5, 15, 24, 28, 37

Section  7.3  (page 426) 1, 3, 7, 9, 17, 19, 25, 38

Section 7.5  (page 457)  1, 3, 6, 7

Section  8.1 (page 487) 1, 3, 5, 9, 11, 13

Section 8.2 (page 496) 1, 3, 5, 7

Section 9.1 (page 519) 9, 11, 13, 14, 15, 20

Section 9.2 (page 532) 1,3, 5, 7. 9. 19. 21. 27. 29

Maple 11 worksheets (click on the title to download worksheet):

Computer Project #2 :  You can work in 2-persons teams for this project and submit your work  as a team. Please,
download a Maple worksheet with the task for this project above.

Exams

Grades and Makeup Policy

Grades will be assigned using a sliding scale. The usual passing level "C" is between 65% and 68\%. Someone with 88\% may get "A". After each test we'll get an approximate passing level. Do not panic if your grade seems low, come and talk with me  about your perfomance.Various numbers below  determine  the relative weights of exams' and quizzes'  grades: Total number of points 500. The final exam - 200 points. Each midterm exam - 100 points,  quizzes grade - 100.

In general, there will be NO makeups for exams. If you miss an exam for a valid well-documented reason then arrangements may be made on an individual basis.

Academic Integrity

You are responsible for making yourself aware of and understanding the policies and procedures in the Undergraduate  Catalog (pp. 274-276) that pertain to Academic Integrity. These policies include cheating, fabrication, falsification and forgery, multiple submission, plagiarism, complicity and computer misuse. If there is reason to believe you have been involved in academic dishonesty, you will be referred to the Office of Student Conduct. You will be given the opportunity to review the charge(s). If you believe you are notresponsible, you will have the opportunity for a hearing. You should consult with me if you are uncertain about an issue of academic honesty prior to the submission of an assignment or test.

Comments, questions, problems to  ledyaev@wmich.edu .

Last modified :April 10, 2008