MATH 107 SYLLABUS FALL SEMESTER 2004

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 September 30, 2004.

Calculator: You are required to have a graphing calculator for this course. The TI-85 and TI-86 are recommended. Calculators that do symbolic computations will not be permitted on exams.

Scheduling: The reverse side of this syllabus includes a tentative schedule of assignments and exams. 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: You are expected to do the reading from the appropriate sections 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).

Projects and Other Assignments: This 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, 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 November 19, 2004.

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 Thursday, December 16, 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

Aug 23 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
    25 W   4.6  Integration by Substitution          p.381: 1,2,6,8,13,17,21,24,26,27,32,34,36,37,41,44
    27 F   4.6  Integration by Substitution          p.381: 49,51,54,59,60,63,64,67,68,69,71,72,74,76,77
    30 M   5.1  Area between Curves                  p.408: 6,8,9,15,17,18,29,32,33,34,35,37,38,44,46
Sep  1 W   5.2  Volumes by Slicing                   p.423: 5,8,11,12,14,15,22,23,25,26,27,33,34
     3 F   5.3  Volumes by Cylindrical Shells        p.432: 1,3,6,7,9,12,14,15,24,25,30,39
                Last day to drop without a W.                                       
     6 M        Labor Day Holiday
     8 W   5.6  Work, Moments, Hydrostatic Force     p.462: 6,11,13,14,17,19,20,22,23
    10 F   5.6  Work, Moments, Hydrostatic Force     p.462: 26,29,31,33,34,37,38,41
    13 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
    15 W   6.2  Inverse Functions                    p.493: 2,7,8,9,12,13,18,21,23,24,26,27,33-36,38,39,48
    17 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
    20 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
    22 W        review for exam                                       
    23 R        EXAM 1                                       
    24 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
    27 M   7.2  Integration by Parts                 p.566: 7,8,9,10,11,14,17,18,21,31,32
    29 W   7.2  Integration by Parts                 p.566: 33,36,37,40,44,45,46,60,61,62,64
Oct  1 F   7.3  Trigonometric Techniques             p.576: 4,5,7,11,12,17,27,29,31,35,39,41,42
     4 M   7.4  Integration by Partial Fractions     p.585: 4,7,10,11,14,15,19
     6 W   7.4  Integration by Partial Fractions     p.585: 21,24,26,30,32,35,39
     7 R        Project Assigned                                   
     8 F   7.5  Integration by Tables                p.594: 3,4,27,28,8,10,12,16,17,20
    11 M        Integration Technique Review         p.619: 1,3,5,7,9,15,17,19,22,29,32,33,36,37,38,41,42,43
    13 W   7.7  Improper Integrals                   p.617: 3-10,12,13,16,17,20,21,24,26,30,33,39,50
    14 R        GATEWAY EXAM                                   
    15 F   7.7  Improper Integrals                   p.617: 52,54,56,57,58,61,62
                Last day to change to or from Pass/No Pass.                                               
 18-19 M-T      Fall Break
    20 W   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
    22 F   8.2  Infinite Series                      p.644: 2,5,6,7,13,16,18,19,22,26,27,30,33,34,39
    25 M   8.3  The Integral Test                    p.656: 6,7,14,19,27,49,52,53,56
    27 W        review for exam                                
    28 R        EXAM 2                                
    29 F   8.3  The Comparison Test                  p.656: 9,15,20,22,30,31,36,41,45,46,60
Nov  1 M   8.4  Alternating Series                   p.664: 6,8,11,14,17,22,32,33,36,39,42,45,46,48
     3 W   8.5  Absolute Convergence / Ratio Test    p.673: 6,9,11,13,20,22,23,37,39,40,44,45,46
     5 F   8.6  Power Series                         p.680: 7,8,13,16,17,19,22,23,26,27,29,32,33,36,43,45
     8 M   8.7  Taylor Series                        p.694: 11,12,14,16,17,18,19,21,22,24,28,32
    10 W   8.7  Taylor Series                        p.694: 34,35,37,38,40,43,45,46,47,48,52,54,56,63
    12 F   8.8  Applications of Taylor Series        p.701: 1,6,7,10,12,16,17,21,22,29-32
                Last day to drop with a W.                                
    15 M   9.1  Plane Curves / Parametric Equations  p.728: 5,6,7,8,10,11,15,35-40,41,42,44
    17 W   9.1  Plane Curves / Parametric Equations  p.728: 45,48,49,50,52,53,56,58,71
    19 F   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
                Deadline for Gateway exam retakes
    22 M   9.3  Arc Length                           p.440: 10,15; p.745: 6,8,9,10,19,23 
    23 Tu       Project Due                                     
    24-28 W-S   Thanksgiving Break 
    29 M   9.3  Surface Area                         p.440: 33,37; p.745: 31,32; p.618: 63
Dec  1 W        review for exam                                       
     2 R        EXAM 3                                       
     3 F   9.4  Polar Coordinates                    p.757: 5-18,32,33,35,41,42,53,62,65,67,68,70,73,74
     6 M   9.5  Calculus using Polar Coordinates     p.767: 8,9,11,12,16,17,19,22,26,27,29,35,40,46
  6-11          Dead Week/Review                                
Dec 16 R        FINAL EXAM