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Theoretical Calculus IV     MA 1034   B18

Joseph D. Fehribach





Class Photo


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

Pearson, Prentice-Hall, 2004.


Roman numeral sections are from the alternate text.





Syllabus of Homework Assignments



      1.       9.1   p. 385  Due Tuesday, 30 October 2018   #2, 4, 6, 7
            9.2   p. 388       #8a
            9.3   pp. 394-395       #4, 5, 10, 16, 24
            9.4   pp. 399-400       #1a,b,e, 3a,b
      2.       9.6   p. 413  Due Tuesday, 6 November 2018   #13, 15a,b
            9.7   pp. 421-422       #2a, 10a
              II.   p. 38       #2, 5, 11
      3.     10.2   p. 447  Due Tuesday, 13 November 2018   #10a(b) (just the product fg), 12 (just negate the definition; no need to consider the specific functions.)
          10.3   p. 454       #3a
          10.4   p. 461       #2b
            III.   p. 73       #8a
      4.     10.4   pp. 460-462  Due Tuesday, 20 November 2018   #7, 9b
          10.6   pp. 470-471       #2, 4, 5
            III.   pp. 73-74       #11, 13, A (below)
      5.     10.4   pp. 460-462  Due Tuesday, 4 December 2018   #4, 8
          10.5   pp. 464-465       #6, 7, 9 (Also decide if each C.P. is a local max, local min, or a saddle point.), 10
          10.8   p. 478       Part 2. (Explain where the chain rule is used.)
            III.   pp. 73-74       #15
      6     11.1   pp. 483-484  Due Tuesday, 11 December 2018   #2, 4,a,b, 8 (Hint: Contradiction)
          11.2   p. 489      #6
          11.3   p. 495      #1c, 2c, B (below)
            V.   p. 110      # 4




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
              I.   p. 17       #1, 5
              II.   p. 38       #1, 3, 4, 5, 10
      2.       9.5   pp. 404-405      #1, 3, 6
            9.6   pp. 412-415      #1, 17, 22, 25
            9.7   pp. 421-422       #1a,b, 2a, 3, 10
              II.   p. 38       #8, 11
      3.     10.2   p. 446      #3d,e,f
          10.3   p. 454      #2, 3, 5c,d
            III.   pp. 72-74       #3, 4, 5, 6
      4.     10.4   pp. 460-462      #2, 11a,b, 12
          10.5   pp. 464-465      #1, 7, 9
          10.6   pp. 470-471      #1, 2, 4, 17, 18, 19
            III.   pp. 73-74      #9, 10, 11, 14
      5.     11.1   pp. 483-484      #2, 6
          11.2   p. 489      #2b,c, 3, 4
          11.3   p. 495      #1, 2a,b, 3, 5
          11.10   pp. 526-527      #11.10.3a,e,h
            V.   p. 110      #2, 3, 4



     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: Sunday, 16 December 2018
Copyright 2013, 2018, Joseph D. Fehribach