WMU

MATH 3740: Differential Equations and Linear Algebra


news   .   Schedule for Week 7.   Quiz on Friday, October 20: problems from Sections 5.1, 5.2 and 5.3.

                                                            

                Course Info

     Weekly  Schedules

Calendar


calendar



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  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 , (Third 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,Tuesday and Friday: 11:00 am - 11:50 am , Thursday 1:00 pm - 1:50 pm  in Everett Tower 5527,
Detailed schedule  can be found here.


 




Week 14: December 04 - December 08

Topics for study and reading :

Week 13:  November 27 - December 01

Topics for study and reading : Quiz on Friday, December 1: problems from Section 8.1, 8.2.

Week 12   November 20 - November 24

Topics for study and reading :
      Quiz on Tuesday: Sections 7.2 and 7.3.                                                   

Week 11:  November 13 - November 17

Topics for study and reading :

Midterm exam on Thursday,  November 16,   includes  topics  from  Chapter 5 (Sections 5.1-5.6) and Chapter 7 (Sections 7.1):   sample exam
                                                  
                                                

Week 10: November 06 - November 10

Topics for study and reading :


Quiz on Friday : problems from Section 5.4, 5.5, 5.6.


Week 9October 30 - November 03

Topics for study and reading :

Quiz on  Friday: Sections 5.3, 5.4


Week 8:  October 23 - October 27

Topics for study and reading :
Quiz on  Friday  :  problems from Section 5.1,5.2  and 5.3

Week 7:  October 16 - October 20

Topics for study and reading :
Quiz on Friday  contains problems from Sections 3.4, 3.5 and 3.6 (matrix operations, determinants).


Week 6: October 09 - October 13

Topics for study and reading :
Quiz on Friday, October 13: problems from Sections 3.4-3.6: matrix products, determinants, inverse matrices.
First mid-term exam  on Thursday, October 12   (sample exam)
will cover Chapters 1 and 2 (sections 2.1-2.3) and Chapter 3 (Sections 3.1-3.3).
Maple computer project.  Maple Computer Project #2 is due to  Tuesday, October 10.

Week 5: October 02 - October 06

  Topics for study and reading :

  Quiz on Friday:  Sections 2.2, 2.3 , 3.1.
Second Maple Computer project is due to  Tuesday, October  10. Download Maple worksheets:

Week 4: September 25 - September 29

      Topics for study and reading  
We'll meet at Computer Lab (Rood  3396 ) on Thursday, September 28, at 2 pm  to work on Maple computer project.  Maple Computer Project #1 is due to  Tuesday, October 3.
Quiz on  Friday  (Sections 2.1 and 2.2) . 


Week 3: September 18 - September 22

Topics for study and reading   Quiz on  Friday : problems from Sections 1.5, 1.6 .

Week 2: September 11 - September 15

Topics for study and reading 

Week 1: September 05 - September 08

Topics for study and reading 

Quiz on Friday:  problems from Sections 1.1, 1.2 , similar to   homework problems   for 4th edition, homework problems for 3rd edition.  

Homework Problems for 4th edition

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 15) 1, 2, 5, 6, 14, 21, 24

Section 1.3 (page 25) 12, 13, 19,  21, 22
 
Section 1.4 (page 41) 1, 2, 5, 6, 11, 10, 13, 20, 25, 27, 28, 33, 36, 38, 43, 44, 45, 48,51

Section 1.5 (page 53) 1, 3, 4, 5, 6, 11, 20, 27, 33, 41

Section 1.6 (page 70)  1, 2, 8, 11, 14, 15, 16, 19, 20, 21, 32, 34.

Section  2.1 (page 82) 1, 3, 5, 7, 8, 11, 16, 27, 28

Section 2.2  (page 92)   1, 3, 6, 9, 11, 14, 15, 21

Section 2.3  (page 101)   2, 4, 7, 10, 11, 20, 28

Section 2.4 (page 114)  1, 3, 4, 9, 12, 14

Section 2.6 (page 133)  2, 4, 14, 15

Section 3.1 (page 145) 1, 5, 7, 11, 17, 23, 31

Section 3.2 (page 154) 1, 5, 11, 19, 24*,

Section 3.3 (page 162) 1, 3, 17

Section 3.4 (page 173) 1, 3, 5, 7, 14, 17, 27*

Section 3.5 (page 185) 1, 3, 25, 30, 32

Section 3.6 (page 201) 1, 2, 47, 48, 52

Section 4.3 (page 234) 17, 18, 19

Section 5.1 (page 276)   1, 5, 8, 11, 12, 13, 14, 16, 20, 23, 26, 27, 33, 34, 36. , 41, 43, 46, 48,

Section 5.2 (page 288) 1,  4, 7, 9, 11, 13, 14, 18, 21, 24

Section 5.3 (page 300)  1,4,5,6, 11,13, 20, 21, 24, 25, 27, 30, 33, 39, 43,

Homework Problems for 3rd edition

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 17) 1, 2, 5, 6, 14, 21, 24

Section 1.3 (page 27) 12, 13, 19,  21, 22
 
Section 1.4 (page 43) 1, 2, 5, 6, 11, 10, 13, 20, 25, 27, 28, 33, 36, 38, 43, 44, 45, 48,51

Section 1.5 (page 56) 1, 3, 4, 5, 6, 11, 20, 27, 33, 41

Section 1.6 (page 74)  1, 2, 8, 11, 14, 15, 16, 19, 20, 21, 32, 34.

Section  2.1 (page 87) 1, 3, 5, 7, 8, 11, 16, 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 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 performance.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

Students are responsible for making themselves aware of and understanding the University policies and procedures that pertain to Academic Honesty. These policies include cheating, fabrication, falsification and forgery, multiple submission, plagiarism, complicity and computer misuse. The academic policies addressing Student Rights and Responsibilities can be found in the Undergraduate Catalog at http://catalog.wmich.edu/content.php?catoid=24&navoid=974 and the Graduate Catalog at http://catalog.wmich.edu/content.php?catoid=25&navoid=1030. 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) and if you believe you are not responsible, you will have the opportunity for a hearing. You should consult with your instructor if you are uncertain about an issue of academic honesty prior to the submission of an assignment or test.
 
Students and instructors are responsible for making themselves aware of and abiding by the “Western Michigan University Sexual and Gender-Based Harassment and Violence, Intimate Partner Violence, and Stalking Policy and Procedures” related to prohibited sexual misconduct under Title IX, the Clery Act and the Violence Against Women Act (VAWA) and Campus Safe. Under this policy, responsible employees (including instructors) are required to report claims of sexual misconduct to the Title IX Coordinator or designee (located in the Office of Institutional Equity). Responsible employees are not confidential resources. For a complete list of resources and more information about the policy see www.wmich.edu/sexualmisconduct.

In addition, students are encouraged to access the Code of Conduct, as well as resources and general academic policies on such issues as diversity, religious observance, and student disabilities:
·        Office of Student Conduct www.wmich.edu/conduct
·        Division of Student Affairs www.wmich.edu/students/diversity
·        University Relations Office http://www.wmich.edu/policies/religious-observances-policy
·        Disability Services for Students www.wmich.edu/disabilityservices

 



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

Last modified : October 13, 2017