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Theoretical Calculus IV     MA 1034   B19

Joseph D. Fehribach





Class Photo


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

Pearson, Prentice-Hall, 2004.


Joseph D. Fehribach, Multivariable and Vector Calculus, DeGruyter, Berlin, 2020.


Standard numerals are sections from Kosmala; roman numeral are sections from Fehribach.




Syllabus of Homework Assignments



      1.       9.1   p. 385  Due Tuesday, 29 October 2019   #2, 4, 6, 7
            9.2   p. 388       #8a
            9.3   pp. 393-395       #4, 10a, 16, 24
            9.4   pp. 399-400       #1a,b,e, 3a,b
      2.       9.6   p. 413  Due Tuesday, 5 November 2019   #13, 15a
            9.7   pp. 421-422       #2a, 10a
              II.   pp. 50--52       #7b, 11, 20, 21, 23
      3.     10.2   p. 447  Due Tuesday, 12 November 2019   #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. 89       #8a
      4.     10.4   p. 461  Due Tuesday, 19 November 2019   #7
          10.6   p. 470       #2, 4
            III.   pp. 90-91       #12, 14, 19, 22
      5.     10.4   p. 461  Due Tuesday, 26 November 2019   #4
          10.8   p. 478       Part 2. (Explain where the chain rule is used.)
            IV.   pp. 108-109       #3, 5, 6b, 7
      6     11.1   pp. 483-484  Due Tuesday, 10 December 2019   #4,a,b, 8 (Hint: Contradiction)
          11.2   p. 489      #6
          11.3   p. 495      #1c (consider integration order), 2b
            V.   pp. 142-143      # 3, 5



Recommended Problems for Quizzes



      1.         I.   p. 23       #1, 11, 13
              II.   pp. 48-50       #1a,c, 2a,b,d,f, 6a,b,c, 7a,c, 9, 11, 13, 16, 21
      2.     10.2   pp. 445-446      #1a,e, 3d,e,f
            III.   p. 88       #1, 2, 4, 5a,b,d,e,g,h
      3.     10.3   p. 454      #2, 5c,d
            III.   pp. 88-90       #6a,b,d,e,g,h, 10a,c, 11
      4.     10.4   p. 462      #11a
          10.5   pp. 464-465      #1, 7
          10.6   pp. 470-472      #1, 2, 4,
            III.   pp. 90-91      #18, 20, 21, 24, 25, 26
      5.     11.2   p. 489      #2b,c
          11.3   p. 495      #1b,d, 2a,c, 3
            V.   p. 142-143      #2, 4a,b,d, 6



     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: Monday, 16 December 2019
Copyright 2013, 2019, Joseph D. Fehribach