CALCULUS 3  

(15-MATH-253-002)   

Autumn, 2005

 

 

Class Room and Class Times: Room 305 of Zimmer Hall

                                                   on Monday, Tuesday, Wednesday, and Thursday at 10:00-10:50 a.m.

 

      From Wednesday, September 21 through Thursday, December 1, 2005 (and the Final Examination on December 7) with the exception of Thursday, November 24th (Thanksgiving Day).

                    

Teacher:   Roger Chalkley

Office:   Room 822A, Old Chemistry Building  

Phone:   (513) 556-4074

 

Office Hours:  11:00-11:50 a.m. on Tuesday, Wednesday, and Thursday

 

Textbook:   James Stewart, Calculus Concepts and Contexts, 2nd Ed., Brooks/Cole Publishing Company, 2001.

 

Syllabus:   See the photocopy on the reverse side of this page.  It contains a short list of suggested homework problems.   It is also helpful to pursue other problems. 

 

Testing and Grading Policy:  There will be three 50-minute examinations and a 2-hour final examination. 

Each 50-minute exam will be graded on a basis of 100 points and will count as 1/5 of your final grade. 

The final examination will be graded on a basis of 100 points and will count as 2/5 of your final grade. 

Each examination will be given in our classroom (Room 305 Zimmer Hall).

 

                             Test 1       Thursday, October 13,   10:00 - 10:50 a.m.

                             Test 2       Thursday, November 3,  10:00 - 10:50 a.m.

                             Test 3       Tuesday, November 22,  10:00 - 10:50 a.m.

 

                    Final Exam      Wednesday, December 7,  8:00-10:00 a.m.   

 

     Partial credit on tests is awarded only for work that is mostly correct except for one on two minor errors.  You will not be given partial credit for attempting to solve a problem by an incorrect method.  You must show your work on the tests.  A correct answer without the accompanying correct work will receive no credit; an incorrect final answer accompanied by mostly correct work will receive substantial credit.  Also,

it is your responsibility to arrange your work in a logical manner and to write legibly.  Remember, when your paper is graded, the grade is based on the work shown, not what was intended or implied.  Please bring and use Examination Booklets (i.e. “Blue Books”) foreach of the examinations.  The use of pocket calculators is prohibited. 

 

Withdrawal Policy: Thursday, November 17th, is the last day that a grade of  W  (withdrawal with passing status) can be awarded.      

 

The Mathematics Learning Center can provide help.

You may seek their service on Monday at 9:00-6:30 p.m.; on Tuesday, Wednesday, Thursday

at 9:00-8:00 p.m.; on Friday at 9:00-3:00 p.m.; and on Saturday at 1:00-3:00 p.m. 

 

(As a mathematics class below the 500-level, this course is categorized as QR (quantitative reasoning)

and, of the four competencies, it fits under ‘Critical Thinking’.)

 

 

 

Calculus III (15-MATH-253-002) Syllabus

 

Section     Title                                  Suggested Homework Problems

 

  8.1          Sequences……………… 3-23 odd, 36, 37, 38, 39, 41, 44, 48

8.2                    Series…….. 3, 5, 9, 11, 15, 19, 23, 25, 27, 31, 33, 39, 41, 45, 47, 51, 53                                             

8.3            The Integral and Comparison Tests; Estimating Sums…..  3-9 odd

8.4            Other Convergence Tests……………  3, 5, 7, 11, 17-27 odd, 31, 33, 35

8.5            Power Series …………………………  3, 5, 7, 9, 11, 15, 19, 21, 25, 27

8.6            Representations of Functions

              as Power Series………………………  1-13 odd, 19, 23, 25, 27, 34, 36

8.7            Taylor and Maclaurin Series……….  2, 5, 7, 11, 13, 19, 21, 24, 27, 31, 33,

                                                                              35, 39, 43, 47, 49

8.8           The Binomial Series ………………… 3, 5, 9, 11, 15, 16

8.9           (skip)

8.10       Using Series to Solve Differential Equations   (optional)

 

9.1                Three-dimensional Coordinate Systems ... 1, 3, 5, 11-27 odd, 31, 35

9.2                Vectors ……………… 4, 9, 13, 17, 19, 23, 24, 26, 28, 31, 32, 33, 38

9.3                The Dot Product ……1, 3, 5, 7, 9, 13, 15, 17, 22, 23, 24, 25, 26, 29, 33, 37

9.4                The Cross Product … 1, 3, 4, 5, 7, 9, 11, 13, 17, 19, 21, 27, 28, 33

9.5                Equations of Lines and Planes … 3, 5, 7, 10, 13, 15, 21-31 odd, 35, 38, 39,                                                                                                                  

                                                               40, 47, 52

9.6                Functions and Surfaces ….. 2, 3, 5, 7, 11, 13, 15, 17, 19, 23, 25, 27, 30, 33

9.7                Cylindrical and Spherical Coordinates … 3, 5, 7, 9, 11-20 all, 21, 23, 27, 29,

                                                                                      31, 34

10.1              Vector Functions and Space Curves …1, 3, 5, 9, 15, 19, 21, 23, 26, 29, 31, 34

10.2              Derivatives and Integrals of Vector Functions … 3, 5, 9, 11, 13, 15, 17, 21,  

                                                                                                  25, 27, 31, 33, 35, 43, 45

10.3              Arc Length and Curvature ….1, 2, 3, 4, 7, 9, 11, 15, 21, 33

10.4              Motion in Space ………...……3, 5, 7, 9, 11, 13, 14, 19

10.5              Parametric Surfaces …………1, 2, 3, 4, 11-16, 17, 19, 21