CALCULUS AND ANALYTIC GEOMETRY IV

(15-MATH-264-001)   

Autumn, 2009

 

Class Room and Class Times: Room 835 Old Chemistry on Monday, Tuesday, Wednesday, Thursday, and Friday at 8:00-8:50 a.m. --- from Wednesday, September 23th  through Friday, December 4th and the Final Examination of Friday, December 11th  at 8:00 to 10:00 a.m.  The exceptions are November 11th (Veteran’s Day) and November 26-27 (Thanksgiving).

 

Teacher:   Roger Chalkley

Office:   Room 822A, Old Chemistry Building  

Phone:   (513) 556-4074       

Office Hours:  9:00-9:50 a.m. on Mondays, Tuesdays, Wednesdays, and Fridays

 

Textbook:   James Stewart, Calculus Concepts and Contexts, 3rd ed., Thomson Brooks/Cole Publishing Company, 2005.

 

Syllabus:   The syllabus is on the next page and contains a short list of suggested homework 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. 

There will be no substitute examinations.  If you miss a single 50-minute exam, the final will count as 60% of your grade in place of 40%. 

 

Please use examination booklets (so-called “bluebooks”; either the large size or the small size) for each of the examinations.  The various bookstores have them.

Your teacher recently learned that: of the total number of grades assigned by teachers in the Mathematics Department during the years 2006-2009, the number of A’s is about the same as the number of B’s; the number of B’s is greater than the number of C’s; the number of C’s is greater than the number of D’s; the number of D’s is greater than the number of F’s; and the other grades assigned (W’s, UW’s, etc)  tend to be somewhere between the number of C’s and the number of D’s.  Thus, to be fair to you, I shall instruct my grader to do his best to be consistent with that administratively approved value of letter grades.   

 

Test 1:  Friday, October 9th at 8:00-8:50 a.m. ;     Test 2:   Friday, October 30th at 8:00-8:50 a.m.;    Test 3:   Wednesday, November 18th at 8:00-8:50 a.m.

Final Exam:    Friday, December 11th at 8:00-10:00 a.m.   (in Room 835 of Old Chemistry)

 

The use of pocket calculators, cell phones, and other such aids is prohibited during examinations.    

 

Withdrawals:  Thursday, November 19th  is the last day to withdraw from the class.      

 

 

____________________________________

 

The Mathematics Learning Center (MLC), located in Sander Hall room 110 (old dinning hall), is a free, walk-in, mathematics tutoring center for all University of Cincinnati students. The tutoring hours, beginning September 28, are:  Monday -Thursday 9am -8pm ; Friday 9am-4pm.

Students can get help at the MLC for all basic mathematics courses through Differential Equations including Statistics and Business Mathematics courses.

                                     http://math.uc.edu/mathlearningcenter/index.html

________________________________

 

 

 

Syllabus for Calculus IV (with reference to 3rd edition of text by James Stewart)

 

Section                Title                                             Suggested Homework Problems

 

  11.1       Functions of Several Variables           5, 7, 10, 12, 13, 15, 31-36

  11.2       Limits and Continuity                         5-17 odd, 25-31 odd

  11.3       Partial Derivatives                              13-37 odd, 45-59 odd

     11.4       Tangent Planes and Linear Approx.    1, 3, 9, 11, 19, 21, 25, 39, 40 

11.5      The Chain Rule                                    1, 3, 5, 7, 13, 15, 17, 19, 23, 41

  11.6       Directional Derivatives and etc.          1, 2, 5-15 odd, 19, 21, 35, 37, 43, 45

11.7      Maximum and Minimum Values         1, 2, 3, 4, 5-15 odd, 25, 27, 29, 33, 35, 39

  11.8      Lagrange Multipliers                            3-17 odd, 39

 

12.1      Double Integrals over Rectangles        3, 9, 11, 13

12.2      Iterated Integrals                                  1-17 odd, 21, 25, 27

12.3      Double Integrals over etc.                    1-21 odd, 33-43 odd

12.4      Double Integrals in Polar etc.               1-15 odd, 19, 25, 27

12.5      Applications of Double Integrals          3, 5, 9, 12, 13

12.6      Surface Area                                         1, 3, 5, 7, 9, 11

12.7      Triple Integrals                                     1-19 odd

  12.8       Triple Integrals in etc.                          1, 3, 5, 7, 9, 17, 19, 21

  12.9       Change of Variables in etc.                  1-13 odd, 19, 21

 

13.1      Vector Fields                                        11-18, 21, 23, 25

13.2      Line Integrals                                        1-13 odd, 17, 19, 35

  13.3      The Fundamental Theorem for etc.       3-21 odd, 29, 31

  13.4      Green’s Theorem                                   1, 3, 7-17 odd

  13.5      Curl and Divergence                              1-19 odd, 20

  13.6      Surface Integrals                                    5, 9, 13, 19, 21, 23

  13.7      Stokes’ Theorem                                    1-9 odd, 13, 15

  13.8      The Divergence Theorem                      1-13 odd 

 

_______________________________________________________________

_______________________________________________________________

                                        

The University of Cincinnati desires that each person preparing a course syllabus also include the following information.

 

General Education:  This course was designed following the guidelines of the University of Cincinnati General Education Program. It satisfies, or partially satisfies the Quantitative Reasoning distribution requirement.

Academic Integrity:  The University Rules, including the Code of Conduct, and other documented policies of the department, college, and university related to academic integrity, will be enforced. Any violation of these regulations, including acts of plagiarism or cheating, will be dealt with on an individual basis according to the severity of the misconduct.

Special Needs Policy:  Students with special needs should meet with the instructor as soon as possible to arrange for reasonable provisions to ensure an equitable opportunity to meet all of the requirements of this course. At the discretion of the instructor, some accommodations may require prior approval by Disability Services.