WMU

        MATH 5700   Advanced Calculus I

NewsSchedule for Week 13.  Take home quiz is due to Tuesday, November 25. Homework problems for Section 29.
 



                Course Info

     Weekly  Schedules

Course description: This is the first of a two-semester sequence in advanced analysis.It contains rigorous treatment of analysis topics:  real numbers, topology of n-dimensional space, sequences and convergence, continuous functions, differentiation, mean value theorem, Taylor  theorem, Riemann integral and its properties.

Students are responsible for all material in the text and all material presented in class. This includes any material not in the text and all material in the text that was not presented in class.

 A list of problems to work will be placed at the course webpage (see homework problems).  Your homework will not be collected. But we'll have a quiz each Friday. It is recommended to keep your homework to use in  preparation for  quizzes, mid-term and final exams.   If you have any questions about problems, please ask them in class or during office hours.

Textbook:   The Elements of Real Analysis by Robert G.Bartle, Second Edition, John Willey and Sons, 1976 .

  Office  and Classes Hours :   see   schedule  .

       Week 1: September 02 - September 05

Topics for reading
Quiz on Friday, September 5: problems from Sections 1,2

Week 2: September 08 - September 12

Topics for reading Quiz on Friday, September 12: problems from Sections 4,5,6

Week 3: September 15 - September 19

Topics for reading

Week 4: September 22 - September 26

Topics for reading

Week 5:  September 29 - October 03

Topics for reading



Week 6:  October 6 - October 10

Topics for reading
First mid-term exam on Friday: Chapters 0,1, 2, 3.


Week 7:  October 13 - October 17


Topics for reading

Week 8: October 20 - October 24

       Topics for reading
  • Section 22 Continuous functions: global properties
  • Section 23 Uniform continuity and fixed points

Week 9:   October 27 - October 31

Topics for reading
Quiz  on Friday: Problems from 25 and 27

Week 10:  November 03 - November 07

Topics for reading
 Quiz on Friday, November 7: problems from Sections 27 and 28

Week 11:November 10 - November 14


Topics for reading

Week 12:  November 17 - November 21

Topics for reading

Week 13: November 24 -  November 26

Topics for reading


Week 14: December 01 - December 05

Topics for reading



Week 15:  December 08 - December 12

Topics for reading

Homework Problems

Note that problems marked  with *  are extra.

Section 1 (p.10) #  1.C, 1.E, 1.F, 1.I, 1.J, 1.K
Section  2 (p.21) #  2D,  2J
Section  3 (p.24) # 3.A, 3.B,  3.E
Section  4(p.32)  # 4C, 4D, 4G
Section  5(p.36)  #  5A, 5B, 5C, 5M, 5N
Section  6(p.42) #  6A, 6B, 6D, 6F, 6G, 6H, 6I, 6K, 6M
Section  7(p.51) # 7E, 7F, 7G
Section  8(p.58) # 8A, 8B, 8D, 8E, 8F, 8H, 8I, 8K, 8L, 8N
Section  9(p.67) # 9C, 9D, 9E,  9J, 9L, 9M, 9N
Section  10(p.72) # 10A, 10B, 10C, 10D, 10F
Section  11(p.79) # 11A, 11B, 11D, 11G, 11H, 11J
Section  14(p.91) # 14A, 14B, 14C, 14D, 14E, 14F, 14H, 14I, 14Q
Section  15(p.102) # 15A, 15B, 15c, 15D, 15E, 15F, 15H, 15L, 15O, 15P
Section  16(p.111) # 16A,16B, 16C, 16D, 16G, 16I, 16J, 16M
Section  20(p.144) # 20A, 20B,  20C, 20E, 20F, 20G, 20H, 20I, 20J, 20L, 20M,  20P
Section  22(p.157) # 22A, 22B, 22C, 22D, 22G, 22I, 22J, 22L, 22N, 22O
Section  23(p.163) # 23A, 23C, 23D, 23F, 23H, 23I, 23M
Section  25(p.181) # 25A(find limits if the exist), 25F,  25H, 25I, 25X
Section  27(p.198) #27A, 27B, 27C, 27D, 27E, 27G, 27H, 27J,  27L, 27O,  27P, 27I, 27U
Section  28(p.207) #28B, 28C, 28D, 28E, 28G, 28H, 28J, 28L, 28O
Section  29 (p. 222) # 29G, 29H, 29I, 29J, 29K, 29S, 29T

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 - 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 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 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 26, 2008