WMU Fall 2006 semester

MATH 5720: Vector Calculus&Complex Variables


News   Schedule for  Week 13. 
 Homework problems   for Sect. 16.1 -16.4 are added.


                Course Info

     Weekly  Schedules

Course description: This course includes most of the standard material for vector calculus and complex analysis. We'll use a computer algebra system Maple 9.5 in this course for some computer projects.  You can find a list of topics here.
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:   Advanced Engineering Mathematics by E.Kreyszig. Publisher: John Wiley&Sons, 2006
    Supplemental text: Schaum's Outlines of Theory and Problems of Advanced Calculus by R.Wrede and M.Spiegel. Publisher: McGrow-Hill, 2002 (good source of problems and solution manual)

Office Hours:   at  Everett Tower 5527, see detailed schedule here. Math 5720meets on Monday, Wednesday  from 4:00 pm  to 5:40 am  at Rood Hall  2211.
 


Week 14: December 04 - December 08

Topics for reading 

Week 13: November 27 - December 01

Topics for reading



Week 12: November 20 - November 24

Topics for reading
2nd mid-term exam  on Monday, November 20: problems from Chapters 13 and 14 and Sections 15.1, 15.2, 15.3 and 15.4.
No classes on Wednesday, November 22
: Thanksgiving.

Week 11: November 13 - November 17

Topics for reading 2nd midtermexam on Wednesday, November 15, includes all topics from Chapters 13, 14 and Sections 15.1 - 15.2.

Week 10: November 06 - November 10

Topics for reading
Quiz on Wednesday: Sections 14.1-14.4

Week 9: October 30 - November 03

Topics for reading
Quiz on Wednesday, November 1: Sections 13.4 -13.7, 14.1.

Week 8:  October 23 - October 27    

Topics for reading
Quiz on Wednesday, problems from Sections 13.1 - 13.3. 


Week 7: October 16 - October 20

Topics for reading   First midterm exam  on October 18.


Week 6: October 09 - October 13     

Topics for reading          Quiz will be on Wednesday, October 11: Sections 10.5 - 10.7.  First midterm exam  on October 18.  

Week 5: October 02 - October 06

Topics for reading Quiz on Wednesday, Sections 10.2-10.4

Week 4: September 25 - September 29 

Quiz on Wednesday, September 27 : Sections 9.8, 9.9 and  10.1.

Week 3: September 18 - September 22

Topics for study and reading (Sections 8.9-8.11, 9.1-9.3 ): Quiz on Wednsday will cover Sections 9.5 - 9.7

Week 2:  September 11 - September 15

Topics for study and reading  (Sections 9.2-9.5) : Quiz on Wednesday: problems from section 9.1-9.3.

Week 1:  September 5 - September 8

Topics for study and reading :

Note that problems marked  with *  are extra.

<>Section 9.1 (p.370): 2, 4,  5, 10, 16, 18, 20, 24, 29, 31, 32, 36, 38 (a), (b), (e)*, (f)
Section 9.2 (p.376): 2, 4, 6, 20, 22, 24, 25, 27, 28, 32, , 36, 42 (a), (b), (f)
Section 9.3 (p.383): 2, 4, 6, 12, 20, 22, 24 (12) (13),  26, 28, 31, 32, 36,  38
Section 9.4 (p.389): 1, 2, 5, 10, 11, 21, 23
Section 9.5 (p.398): 1, 2, 4,  5, 7, 20, 24, 25, 27, 32, 34
Section 9.6 (p.403): 3, 4, 8, 9, 10
Section 9.7 (p.409): 3, 4, 10, 14, 20, 32,  37,  42
Section 9.8 (p.413): 1, 2, 5,, 8, 13 b,c,d,  15, 18

Section 9.9 (p.416): 1, 2, 3, 5, 7, 11, 16 a,b,c,e.

Section 10.1 (p.425 ): 1, 5, 7, 10, 11, 14 a,17, 19 b
Section 10.2  (p.432 ): 1, 2, 4, 10 a,b, 12, 14, 15, 19
 
Section 10.3  (p.438): 3, 6, 7, 9, 12
Section 10.4  (p.444 ): 1, 2,3, 6, 7, 11 , 18

Section 10. 5 (p.495 ):  1, 3, 5, 7, 10, 13, 14, 16, 18, 19 24,
Section 10.6  (p.456):  1, 2, 3, 5, 10, 12
Section 10.7  (p.463): 1, 2, 5,  17, 19, 20
Section 10.8  (p.468): 3, 4, 7, 9, 10
Section 10.9  (p.473 ): 1,2, 3, 5, 7, 8

Section 13.1(p.606): 3, 5, 7, 8,  9, 13 , 17
Section 13.2(p.611): 1, 3, 6, 11,  12, 13, 16, 21, 24, 27, 28
Section 13.3(p.617): 1, 2, 5, 6, 7, 8, 10, 13, 20, 21, 26 e
Section 13.4(p.623): 2, 3, 5, 6, 7, 9, 13, 15, 22
Section 13.5(p.626): 1, 3, 4, 6,  10, 16, 18, 20
Section 13.6 (p. 629):  1, 2, 3, 4,  8, 11, 13, 14,  17, 21
Section 13.7 (p.633):  1, 2, 3, 4, 10, 11,  15 , 18,  22, 24, 30(a), (c)

Section 14.1 (p.645) 1, 2, 4, 5,  22, 24, 26
Section 14.2(p.653)  1,2, 3, 4, 5, 12, 15
Section 14.3 (p.657) 1, 4, 5, 6, 7, 8, 9, 10, 15, 16

Section 14.4 (p.661)  1, 3, 4, 5, 9, 11, 12,

Section 15.1 (p.672)  1, 2, 3,4,  8, 9, 16, 20,  17, 19, 21, 20, 22 , 24
Section 15.2 (p.677)  , 3, 4, 5, 6, 9, 10, 16, 17, 18
Section 15.3 (p.682)  1, 2, 3, 4, 8, 12,  17
Section 15.4 (p.690)  1, 2, 3, , 4, 9, 10, 11, 13, 14, 17


Section 16.1 (p.707)  1, 3, 5, 8,  12, 13

Section 16.2  (p.711)  3, 5, 8, 10
Section 16.3     2, 4, 10
Section 16.4      1, 4, 9


Maple 10.0 worksheets (click on the title to download worksheet):


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 Graduate Catalog (pp. 26-28) that pertain to Academic Integrity. These policiesinclude 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 not responsible, 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  November 22 2006.

arge(s). If you believe you are not responsible, 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  November 22 2006.