Math 107:
Analytic Geometry & Calculus II
University of Nebraska-Lincoln
Spring 2006
Course Syllabus

Text: Calculus, 2nd Edition, by Smith and Minton

Prerequisite Policy: Students must have completed Math 106 with a grade of C or better before taking Math 107. Any students who do not meet this requirement will be dropped from the course.

Advanced Placement Program: If this is the first college mathematics course that you have attempted, then you may be eligible for 5 hours of free credit for Math 106, provided you get a grade of C, P or better in Math 107 this semester. To be considered for this credit, you should register with the Department of Mathematics, 203 Avery Hall by January 20, 2006.

Calculator: You are required to have a graphing calculator for this course. The TI-85 and TI-86 are recommended. NO CALCULATORS or other electronic devices will be permitted during any of the exams.

Scheduling: A tentative schedule of assignments and exams is included in this syllabus. These details are presented as a guide. Your instructor may change the dates for each assignment and/or exam, modify the exercise list, and/or add assignments. It is your responsibility to keep track of the course details and schedule for your section.

Reading: There is a lot of content in this course, so it has a necessarily fast pace. You are expected to read the appropriate sections of the text BEFORE coming to the class meeting in which the topic is scheduled.

Exercises: You are expected to work the assigned exercises after the corresponding material is presented in class, and BEFORE the next class meeting (lecture or recitation).

Project and Other Assignments: The course will include a group project. Your instructor will decide on the specific requirements for your project report. There may also be other graded assignments (such as weekly quizzes) given at the discretion of your instructor.

Gateway Exam: This exam consists of 6 questions in which you are asked to carry out calculations without using calculators, notes, or tables. You must get at least 5 questions completely right to pass with full credit. If you are not satisfied with your performance on the Gateway Exam when it is first administered, you can go to the Mathlab (18 Avery Hall) or the Arts and Sciences College Testing Center (Burnett 127) for a retake (picture ID required). The final deadline for passing the Gateway is March 31, 2006 (Friday).

Math Resource Center: Students in Math 107 are encouraged to use the Mathematics Resource Center (MRC) in Avery 13B if they have questions related to this course, or as a place to meet and discuss group projects. The hours for the MRC are 12:30-8:30 p.m. Monday through Thursday, 12:30-2:30 p.m. on Friday, and 1:00-5:00 p.m. on Sunday.

Special Dates: Final Exam Policy: Students are expected to arrange their personal and work schedule to allow them to take the final exam at the scheduled time. Students who have conflicting exam schedules may be allowed to take an alternate final, which is always given after the regularly scheduled final. No student will be allowed to take the final exam early. The final exam for this course is Wednesday, May 3, 6-8 pm.

Departmental grading appeals policy: Students who believe their academic evaluation has been prejudiced or capricious have recourse for appeals to (in order) the instructor, the departmental chair, the departmental appeals committee, and the college appeals committee.

Tentative Schedule
Date       Section and Topic                         Exercises

Jan  9 M   4.4  The Definite Integral                p.361: 9,49,51,58
           4.5  Fundamental Theorem of Calculus      p.371: 2,5,9,13,16,19,24,26,27,78,82,83,84
           4.7  Numerical Integration                p.397: 32b
    11 W   4.6  Integration by Substitution          p.381: 1,2,6,8,13,17,21,24,26,27,32,34,36,37,41,44
    13 F   4.6  Integration by Substitution          p.381: 49,51,54,59,60,63,64,67,68,69,71,72,74,76,77
    16 M        Martin Lurther King Day
    18 W   5.1  Area between Curves                  p.408: 6,8,9,15,17,18,29,32,33,34,35,37,38,44,46
    20 F   5.2  Volumes by Slicing                   p.423: 5,8,11,12,14,15,22,23,25,26,27,33,34
                Last day to drop without a W
    23 M   5.3  Volumes by Cylindrical Shells        p.432: 1,3,6,7,9,12,14,15,24,25,30,39
    25 W   5.6  Work, Moments, Hydrostatic Force     p.462: 6,11,13,14,17,19,20,22,23
    27 F   5.6  Work, Moments, Hydrostatic Force     p.462: 26,29,31,33,34,37,38,41
    30 M   6.4  Growth and Decay Problems            p.509: 6,7,8,9,10,12,14,15,20,24,26,27,28,31,32,35,36,49
    31 T        PROJECT ASSIGNED
Feb  1 W   6.2  Inverse Functions                    p.493: 2,7,8,9,12,13,18,21,23,24,26,27,33-36,38,39,48
     3 F   6.7  Inverse Trigonometric Functions      p.534: 3,11,13,15,17,20,21,23,25,32,37,38,39,42,43,46,53,54
     6 M   6.8  Calculus of Inverse Trig Functions   p.541: 4,7,11,12,17,18,19,22,23,27,28,34,38,45,46
     8 W        review for exam                                       
     9 R        EXAM 1                                       
    10 F   7.1  Review of Formulas and Techniques    p.559: 5,8,9,12,17,18,23,24,25,30,32,34,35,39,40,51,54,55,57
    13 M   7.2  Integration by Parts                 p.566: 7,8,9,10,11,14,17,18,21,31,32
    15 W   7.2  Integration by Parts                 p.566: 33,36,37,40,44,45,46,60,61,62,64
    17 F   7.3  Trigonometric Techniques             p.576: 4,5,7,11,12,17,27,29,31,35,39,41,42
    20 M   7.4  Integration by Partial Fractions     p.585: 4,7,10,11,14,15,19
    22 W   7.4  Integration by Partial Fractions     p.585: 21,24,26,30,32,35,39
    24 F   7.5  Integration by Tables                p.594: 3,4,27,28,8,10,12,16,17,20
    27 M        Integration Technique Review         p.619: 1,3,5,7,9,15,17,19,22,29,32,33,36,37,38,41,42,43
Mar  1 W   7.7  Improper Integrals                   p.617: 3-10,12,13,16,17,20,21,24,26,30,33,39,50
     2 R        GATEWAY EXAM                                   
     3 F   7.7  Improper Integrals                   p.617: 52,54,56,57,58,61,62
                Last day to change to or from Pass/No Pass                                               
     6 M   8.1  Sequences of Real Numbers            p.634: 3,6,7,8,11,13,16,17,21,24,28,29,31,36,37,46,51,54,63
     8 W        review for exam                                
     9 R        EXAM 2       
    10 F   8.2  Infinite Series                      p.644: 2,5,6,7,13,16,18,19,22,26,27,30,33,34,39
13--19          Spring Semester Break
    20 M   8.3  The Comparison Test                  p.656: 9,15,20,22,30,31,36,41,45,46,60
    22 W   8.3  The Integral Test                    p.656: 6,7,14,19,27,49,52,53,56                         
    24 F   8.4  Alternating Series                   p.664: 6,8,11,14,17,22,32,33,36,39,42,45,46,48
    27 M   8.5  Absolute Convergence / Ratio Test    p.673: 6,9,11,13,20,22,23,37,39,40,44,45,46
    29 W   8.6  Power Series                         p.680: 7,8,13,16,17,19,22,23,26,27,29,32,33,36,43,45
    31 F   8.7  Taylor Series                        p.694: 11,12,14,16,17,18,19,21,22,24,28,32
Apr  3 M   8.7  Taylor Series                        p.694: 34,35,37,38,40,43,45,46,47,48,52,54,56,63
     5 W   8.8  Applications of Taylor Series        p.701: 1,6,7,10,12,16,17,21,22,29-32
     7 F   9.1  Plane Curves / Parametric Equations  p.728: 5,6,7,8,10,11,15,35-40,41,42,44
                Last day to drop with a W                              
    10 M   9.1  Plane Curves / Parametric Equations  p.728: 45,48,49,50,52,53,56,58,71
    11 T        PROJECT DUE
    12 W   9.2  Calculus and Parametric Equations    p.737: 2,6,7,11,12,14,18,19,22,23,26,27,30,32,34,35,37,38,42
    14 F   9.3  Arc Length                           p.440: 10,15; p.745: 6,8,9,10,19,23 
    17 M   9.3  Surface Area                         p.440: 33,37; p.745: 31,32; p.618: 63
    19 W        review for exam                                       
    20 R        EXAM 3                                       
    21 F   9.4  Polar Coordinates                    p.757: 5-18,32,33,35,41,42,53,62,65,67,68,70,73,74
    24 M   9.5  Calculus using Polar Coordinates     p.767: 8,9,11,12,16,17,19,22,26,27,29,35,40,46
25--28          Review                                
May  3 W        FINAL EXAM, 6pm-8pm