CALCULUS AND ANALYTIC GEOMETRY IV

(15-MATH-264-001)   

Autumn, 2008

 

Class Room and Class Times: Room 308 of Zimmer Hall on Monday, Tuesday, Wednesday, Thursday, and Friday at 8:00-8:50 a.m. from Wednesday, September 24th   through Friday, December 5th and the Final Examination of Friday, December 12th  at 8:00 to 10:00 a.m.  The exceptions are November 11th (Veteran’s Day) and November 27-28 (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 Thursdays

 

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

 

Syllabus:   The syllabus is on the next page and contains a short list of suggested homework problems.  Other problems in the textbook will also receive attention. 

 

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. 

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.

 

Test 1:  Friday, October 10th at 8:00-8:50 a.m. ;     Test 2:   Friday, October 31st at 8:00-8:50 a.m.;    Test 3:   Friday, November 21st at 8:00-8:50 a.m.

Final Exam:    Friday, December 12th at 8:00-10:00 a.m.   (in Room 308 of Zimmer Hall)

 

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

 

Withdrawals:  Thursday, November 20, is the last day to withdraw from the class.

 

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The Mathematics Learning Center (MLC), located in Old Chemistry Building Room 614, is a free, walk-in, mathematics tutoring center for all University of Cincinnati students. The tutoring hours, beginning September 29, are: Monday -Thursday 9am -8pm, Friday 9am-4pm and Saturday 12pm -4pm.  

                        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 

 

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The University of Cincinnati has desired 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.