MATH 2310H (Azoff)
  Spring 2006

Final update, May 4. 

Letter grades have been submitted to the registrar. 

Graded exams may be picked up in my office, 443 Grad Studies.

Send me a message at azoff@math.uga.edu if you would like to get final exam results, etc. by email.

Contents

  • Course Outline
  • Exams
  • Assignments
  • Course Syllabus
    •

    Course Outline 

    1.  Definite integrals
        a)  definition in terms of Riemann sums  (5.1-5.4)
        b)  Fundamental Theorem of calculus  (5.5-5.6) 

    2.  Trigonometric functions, exponential functions, and their inverses
        a)  definitions and basic properties (3.7-3.8)
        b)  special values of trigonometric functions (Appendix C)
        c)  trigonometric identities (Appendix C)
        d)  derivatives and antiderivatives (3.7-3.8,6.7-6.8)

    3.  Differentiation
        a)  review of 2200/2300 techniques (3.1-3.8)
        b)  logarithmic differentiation (3.8)
        c)  l'Hopital's rule: hypotheses and use (4.8-4.9)

    4.  Antidifferentiation
        a)  basic including all trig functions (5.2)
        b)  guessing/substitution (5.7,7.2)
        c)  parts, reduction formulas (7.3)
        d)  products of sines, cosines, tangents, and secants (7.4)
        e)  partial fractions (7.5)
        f)  trigonometric substitutions (7.6,7.7)
        g)  mixed (pp 542-544)
        h)  improper integrals (7.8)

    5.  Applications 
        a)  area between curves (5.8)
        b)  general set-up (6.1)
        c)  volumes of solids of revolution (6.2-6.3)
        d)  arc length (6.4)
        e)  work (6.5)
        g)  centroids (6.6)

    6.  Differential equations
        a) separable equations (8.1, 8.3)
        b) linear equations and integrating factors (8.4)
        c) natural growth, decay, interest, cooling (8.1, 8.3)
        d) mixing (8.4)
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    Exams

    The final exam was held on Wednesday May 3.  It was comprehensive, with a slight emphasis on the differential equations material covered after the third hour exam. The median score was 161 out of 200.

    There were three hour exams during the semester.

    The first hour exam was held on Monday February 13; the median score was 81.  The test covered through Section 5.8.  Suggested study aids included  Boldface Discussion/practice problems from those sections, and miscellaneous problems at the end of Chapter 5, especially, 43-48, 71, and 73. The theory covered included

    Two versions of MAPLE-based solutions to Problems 38 and 47 of 6.3 are available: executable worksheet and pdf file

    The second hour test, covering through Section 6.8, was held on Friday March 10; the median score was 83. Suggested study aids included Bold discussion problems from those sections and Chapter 6 Miscellaneous Problems on Pages 486-489: 1-36, 39, 44-49d, 53-73, 77-79, 81-82, 89-98, 109, and 110; problems 65-67 are challenging. 

    The third hour test, covering Sections 7.1-7.7 was held on Monday, April 10; the median was 93..

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    Assignment Summary

    Number Due Section Hand In Discussion/Practice Bonus
    1
    		 F 20 Jan
    		 5.3
    		 4,6,14,22,30,36,38,46
    		 5,15,21,29,37,45,49
    		 50,51
    5.4
    		 4,8,16,26,44,48 
    		3,7,13,23,31,43,55
    		 53,56
    2
    		 W 25 Jan
    		 5.51
    		 2,8,18,24,26,30,34,44,48,52
    		 3,15,23,25,37,43,47,51
    		 38,42,61
    3
    		 M 30 Jan
    		 5.6
    		 10,18,28,34,46,52,56,68
    		 9,17,27,36,45,49,53,55,65,67
    		 38,42
    4
    		 F 3 Feb
    		 5.7
    		 14,16,22,26,28,36,42,44,54,60,66,78
    		 13,23,27,35,41,43,53,59,65,77
    		 74
    5
    		 W 8 Feb
    		 5.82
    		 8,24,30,36,40,50
    		 5,15,19,37,45
    		 46,47,54
    6
    		 M 20 Feb
    		 6.1
    		 4,6,12,16,26,40,44
    		 5,9,13,17,23,35,39
    		 48
    6.2
    		 2,8,16,18,22,28,40
    		 3,21,23,27,39
    		 42,46,48
    7 F 24 Feb
    		 6.3
    		 6,12,18,22,28,38,40
    		 5,11,17,35,45
    		 46,47
    6.4
    		 4,8,14,20,22
    		 3,7,13,15,19,23
    		 40
    8
    		 W 1 Mar 6.5
    		 6,10,16a,18,26
    		 7,9,11,13,17,19
    		 28
    6.6
    		 6,16,20
    		 13,23,24,33
    		 25
    9
    		 M 6 Mar
    		 6.7
    		 6,8,16,22
    		 5,19,35
    		 34
    6.8
    		 3,6,10,20,28,34,46,48
    		 1,5,9,19,23,25,41,65
    		 70
    10
    		 M 20 Mar
    		 7.1-7.2
    		 12,16,20,28,34
    		 3,9,13,17,23,25
    		 55
    11
    		 W 22 Mar
    		 7.3
    		 6,10,12,16,20,22,42,49
    		 1,5,7,13,15,21,41,51,53
    		 58
    12
    		 F 24 Mar
    		 7.4
    		 2,4,12,14,24,46,52
    		 1,5,11,13,21,47,53
    		 62
    13
    		 W 29 Mar
    		 7.5
    		 2,4,6,14,16,18,22,38,44
    		 1,3,9,25,41,45
    		 60
    14
    		 M 3 Apr
    		 7.6
    		 2,4,6,10,14,22,24,28
    		 1,3,5,23
    		 50
    15
    		 W 5 Apr
    		 7.7
    		 2,4,6,10,14,30,38
    		 1,3,5,11,15,37,39
    		 46
    Extra Integration Practice
    		  pages 542-543
    		1-100, 106, 107
    16
    		 M 17 Apr
    		 7.8
    		 6,12,20,38
    		 5,13,17,27,33
    		 50,51
    17
    		 F 21 Apr
    		 8.1
    		 8,14,20,26,28,38
    		 7,15,25,33,41
    		 46
    18 M 24 Apr
    		 8.3
    		 6,20,28,32,34,38,40
    		 5,19,27,33,35,37,41
    		 42
    19
    		 F 28 Apr
    		 8.4
    		 2,4,8,23,24,25,26,27
    		 1,3,7,23,27,29
    		 28

    Notes
    1We will review the "guess and fudge" method for finding antiderivatives; see Pages 302-307 of Section 5.2.
    2Section 5.9 will be covered in the accompanying laboratory course, MATH 2200L.

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    MATH 2310H (Azoff)
      Honors Integral Calculus
    Course Syllabus

    Web Page  http://www.math.uga.edu/~azoff/courses/2310.html 



    Call Number
    		 20-229



    Prerequisites
    		 Differential Calculus (MATH 2200 or MATH 2300H or equivalent)



    Time & Place  12:20 - 1:10 PM  MWF
    		 323 Boyd



    Objective Understand the concepts of integral calculus and learn to apply them.



    Text Calculus, Early Transcendentals Version, 6th Edition, by C. Henry Edwards and David E. Penny, Prentice Hall, 2003 
    ISBN 0-13-008407-7.



    Topics Sections 5.3-5.5 Areas, Riemann Sums and Integrals
    Section 5.6 Fundamental Theorem of Calculus
    Sections 5.1, 5.2, 5.7, and 5.8 Integration by Substitution and Areas
    Sections 6.1-6.5 Applications
    Sections 6.7-6.8 Transcendental Functions
    Sections 7.1-7.7 Techniques of Integration
    Sections 8.1-8.7 Differential Equations and Applications
    		 1.5 weeks
    1 week
    1 week
    3 weeks 
    1 week
    3 weeks
    3.5 weeks 



    Grading Homework 
    Hour Tests (3 @ 100 pts)  [First covering thru Section 5.8, around Monday Feb 13]
    Final Exam    		 100 points 
    300 points 
    200 points




    		Homework will be collected once or twice a week;  no late work will be accepted.  The final exam is scheduled for Noon - 3 PM on Wednesday May 3 in our usual classroom;  it will be comprehensive. 



    Instructor  E. Azoff
       e-mail 
       Phone 
       Office     		 azoff@math.uga.edu
    542-2608 
    443 Boyd 
      Tentative
      Office
      Hours    		 3 - 4 PM, Monday through Friday
    No Office Hours on
    Apr 13, 14, 19, or 20.

    First Assignments

    Number Due Section Hand In Practice Bonus
    1
    		 F 20 Jan
    		 5.3
    		 4,6,14,22,30,36,38,46
    		 5, 15,21,29,37,45,49
    		 50,51
    5.4
    		 4,8,16,26,44,48 
    		3,7,13,23,31,43,55
    		 53,56
    2
    		 W 25 Jan
    		 5.51
    		 2,8,18,24,26,30,34,44,48,52
    		 3,15,23,25,37,43,47,51
    		 38,42,61
    3
    		 M 30 Jan
    		 5.6
    		 10,18,28,34,46,52,56,68
    		 9,17,27,36,45,49,53,55,65,67
    		 38,42
    4
    		 F 3 Feb
    		 5.7
    		 14,16,22,26,28,36,42,44,54,60,66,78
    		 13,23,27,35,41,43,53,59,65,77
    		 74
    5
    		 W 8 Feb
    		 5.82
    		 8,24,30,36,40,50
    		 5,15,19,37,45
    		 46,47,54
     

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