MATH 107                                                              SYLLABUS                                           FALL SEMESTER 2003

 

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

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.

 

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.

 

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.  If you do not pass the Gateway Exam when it is first administered, you must go to the Arts and Sciences College Testing Center (Burnett 127) or other authorized testing center for a retake (picture ID required).  The final deadline for passing the Gateway is Nov. 6, 2003.

 

Math Resource Center:  Students in Math 107 are encouraged to use the Mathematics Resource Center (MRC) in Burnett 106 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:

 

September 5, 2003 (Friday) is the last day to withdraw from this course and not have it appear on your transcript.

 

 

 

                October 17, 2003 (Friday) is the last day to change your grade option to or from Pass/No Pass.

 

November 14, 2003 (Friday) is the last day to drop this course and receive a grade of W. (No permission is required.) After this date you cannot drop this course.

 

 

 

 

 

 

                      The FINAL EXAM is on Teusday, Dec. 16, 2003

                                              6:00 — 8:00 pm.

            Exam rooms will be announced during the last week of classes.

 

Students are expected to arrange their personal and work schedule to allow them to take the 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.

 

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                                                        Exercises

 


Aug  25    M

 

 

27    W

29    F

Sept   1   

           3   W

  5    F

 

 8     M

10    W

12    F

        15    M

17    W

19    F

22    M

24    W

25    R

26    F

29    M

Oct     1   W

  3    F

  6    M

  8    W

10    F

        13    M

15    W

16    R

17    F

 

  18--21

22    W

24    F

27    M

29    W

30    R

31    F

Nov    3    M

  5    W

          7    F

10    M

12    W

14    F

 

17    M

19    W

20    R

21    F

24    M

  26--30    M

Dec    1    M

  3    W

  4    R

  5    F

      8-13

 

 

4.4   The Definite Integral

4.5   Fundamental Theorem of Calculus

4.7   Numerical Integration

4.6   Integration by Substitution

4.6   Integration by Substitution

Labor Day

5.1   Area between Curves

5.2   Volumes by Slicing

Last day to drop the course without a ‘W’.

5.3   Volumes by Cylindrical Shells

5.6   Work, Moments, Hydrostatic Force

5.6   Work, Moments, Hydrostatic Force

6.4   Growth and Decay Problems

6.2   Inverse Functions

6.7   Inverse Trigonometric Functions

6.8   Calculus of Inverse Trig Functions

review for exam

EXAM 1

7.1   Review of Formulas and Techniques

7.2   Integration by Parts

7.2   Integration by Parts

7.3   Trigonometric Techniques

7.4   Integration by Partial Fractions

7.4   Integration by Partial Fractions

7.5   Integration by Tables

7.1-7.5     Integration Technique Review

7.7   Improper Integrals

GATEWAY EXAM & Project Assigned

7.7      Improper Integrals

Last day to change to or from ‘Pass/No Pass’.

Fall Semester Break

8.1   Sequences of Real Numbers

8.2   Infinite Series

8.3   The Integral Test

review for exam

EXAM 2

8.3   The Comparison Test

8.4   Alternating Series

8.5   Absolute Convergence / Ratio Test

8.6   Power Series

8.7   Taylor Series

8.7   Taylor Series

8.8   Applications of Taylor Series

Last day to drop the course with a ‘W’.

9.1   Plane Curves / Parametric Equations

9.1   Plane Curves / Parametric Equations

Project Due

9.2   Calculus and Parametric Equations

9.3   Arc Length

Thanksgiving Holiday

9.3   Surface Area

review for exam

EXAM 3

9.4   Polar Coordinates

Dead Week/Review

 

 

p.361: 9,49,51,58

p.371: 2,5,9,13,16,19,24,26,27,78,82,83,84

p.397: 32b

p.381: 1,2,6,8,13,17,21,24,26,27,32,34,36,37,41,44

p.381: 49,51,54,59,60,63,64,67,68,69,71,72,74,76,77

 

p.408: 6,8,9,15,17,18,29,32,33,34,35,37,38,44,46

p.423: 5,8,11,12,14,15,22,23,25,26,27,33,34

 

p.432: 1,3,6,7,9,12,14,15,24,25,30,39

p.462: 6,11,13,14,17,19,20,22,23

p.462: 26,29,31,33,34,37,38,41

p.509: 6,7,8,9,10,12,14,15,20,24,26,27,28,31,32,35,36,49

p.493: 2,7,8,9,12,13,18,21,23,24,26,27,33-36,38,39,48

p.534: 3,11,13,15,17,20,21,23,25,32,37,38,39,42,43,46,53,54

p.541: 4,7,11,12,17,18,19,22,23,27,28,34,38,45,46

 

 

p.559: 5,8,9,12,17,18,23,24,25,30,32,34,35,39,40,51,54,55,57

p.566: 7,8,9,10,11,14,17,18,21,24,31,32

p.566: 33,36,37,40,44,45,46,60,61,62,64

p.576: 4,5,7,11,12,17,27,29,31,35,39,41,42

p.585: 4,7,10,11,14,15,19

p.585: 21,24,26,30,32,35,39

p.594: 3,4,27,28,8,10,12,16,17,20

p.619: 1,3,5,7,9,15,17,19,22,29,32,33,36,37,38,41,42,43

p.617: 3-10,12,13,16,17,20,21,24,26,30,33,39,50

 

p.617: 52,54,56,57,58,61,62

 

 

p.634: 3,6,7,8,11,13,16,17,21,24,28,29,31,36,37,46,51,54,63

p.644: 2,5,6,7,13,16,18,19,22,26,27,30,33,34,39

p.656: 6,7,14,19,27,49,52,53,56

 

 

p.656: 9,15,20,22,30,31,36,41,45,46,60

p.664: 6,8,11,14,17,22,32,33,36,39,42,45,46,48

p.673: 6,9,11,13,20,22,23,37,39,40,44,45,46

p.680: 7,8,13,16,17,19,22,23,26,27,29,32,33,36,43,45

p.694: 11,12,14,16,17,18,19,21,22,24,28,32

p.694: 34,35,37,38,40,43,45,46,47,48,52,54,56,63

p.701: 1,6,7,10,12,16,17,21,22,29-32

 

p.728: 5,6,7,8,10,11,15,35-40,41,42,44

p.728: 45,48,49,50,52,53,56,58,71

 

p.737: 2,6,7,11,12,14,18,19,22,23,26,27,30,32,34,35,37,38,42

p.440: 10,15; p.745: 6,8,9,10,19,23

 

p.440: 33,37; p.745: 31,32; p.618: 63

 

 

p.757: 5-18,32,33,35,41,42,53,62,65,67,68,70,73,74

 

Dec   16   T

 

 

Final Exam

6:00—8:00 pm, Room: TBA