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Theoretical Calculus IV     MA 1034   B17

Joseph D. Fehribach



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Syllabus of Homework Assignments


Witold A. J. Kosmala, A Friendly Introduction to Analysis, 2nded.,

Pearson, Prentice-Hall, 2004.



      1     9.1   p. 385  Due Tuesday, 31 October 2017   #2, 4, 7
          9.2   p. 388       #1f, 8a
          9.3   pp. 394-395       #5, 10, 16, 24
          9.4   pp. 399-400       #1a,b,e, 3a,b
      2     9.6   p. 413  Due Tuesday, 7 November 2017   #13, 15a,b
          9.7   pp. 421-422       #2a, 10
          2   p. 36       #2, 4, 5, 11
      3     10.2   p. 447  Due Thursday, 16 November 2017   #10a (Just part (b) for product fg.), 12 (Just negate the definition; no need to consider the specific functions.)
          10.3   p. 454       #1c (But take f (0,0) = 0.), 5a,b
          10.4   p. 461       #2a (Just find the equation of the tangent plane.)
      4.     10.4   pp. 460-462  Due Tuesday, 28 November 2017   #7, 8, 13a
          10.5   pp. 464-465       #2b, 7, 10
          3   p. 68       #7, A (below)
      5.     10.4   pp. 460-462  Due Tuesday, 5 December 2017   #4
          10.5   pp. 464-465       #6, 8, 9 (Also decide if each C.P. is a local max, local min, or a saddle point.), 11b
          10.8   p. 478       Part 2. (Explain where the chain rule is used.)
      6     11.1   pp. 483-484  Due Monday, 11 December 2017   #4, 8 (Hint: Contradiction)
          11.2   p. 489      #5, 6
          11.3   p. 495      #1c, 2c, B (below)
         




Recommended Problems



      1.     9.2   p. 388       #2
          9.3   pp. 394-395       #11a,b, 15, 20, 22
          9.4   pp. 399-400       #1, 8
          9.5   pp. 404-405       #1, 3, 6, 7
          1   p. 8       #1, 3, 4
      2.     9.6   pp. 413-415      #1, 17, 21, 22, 25
          9.7   pp. 421-422       #1a, 2a, 3, 10
          2   p. 36       #1, 3, 8, 10
      3.     10.2   p. 446      #3c,d,f,g,h
          10.3   p. 454      #2, 3a
          3   pp. 67-68       #2, 3, 4, 5
      4.     10.4   pp. 460-462      #2, 11a,b, 12
          10.5   pp. 464-465      #1, 3
          10.6   pp. 470-471      #1, 2, 4, 5
          3   p. 68      #8, 9
      5.     11.1   pp. 483-484      #2, 6
          11.2   p. 489      #2b,c, 3, 4
          11.3   p. 495      #1a,b,d, 2a,b, 3
          11.10   pp. 526-527      #11.10.3a,e,h, 11.10.4a,b,c
         



     Color Code Key
            99 Problem whose solution in the back of the text is incomplete or wrong, or whose statement in the text is not precisely correct.


Quizzes


Final Exams



JDF (E-Mail: bach@wpi.edu)
Last Updated: Tuesday, 19 December 2017
Copyright 2013, 2017, Joseph D. Fehribach