Spring 2005 SYLLABUS

 

Course:           Math 2210, Calculus III

 

Instructor:      Eric Rowley                                          e-mail: rowley@math.usu.edu

                        Office:  GEOL 417                               website:            http://math.usu.edu/~rowley/

Office Phone:    797-0245                     Home Phone:    787-4497                    

 

Office Hours: MWF 9:30-10:15, MTWF 1:30-3:00, OR other times by appointment

 

Textbook:       Calculus Concepts and Contexts, 2nd ed. by James Stewart

 

Prerequisite:   A grade of C- or better in Math 1220, or an AP calculus score of 5 on the BC exam.

 

Classroom procedures:


Attendance in class is crucial.  You should not miss class for anything other than extraordinary circumstances.  However, attendance is not directly counted for points toward your grade.  Class-time will be spent answering questions about the homework and discussing new material.  Students are encouraged to ask and answer questions and to participate in classroom discussions and activities.  It should be noted that it is impossible to cover textbook material in the same depth that it is presented in the textbook itself.  Students are expected to study the textbook to learn information not presented in class.

 

If you must miss class due to an excused absence to participate in an official university activity (i.e., an athletic event in which you are a participant, a field trip, etc.), it is your responsibility to notify the instructor one week in advance and provide appropriate documentation.

 

Calculators:

This course requires a graphing calculator. Homework and exam problems sometimes require a graphing calculator. The instructor will use the TI-85 calculator.  Other calculators with equivalent graphics capacity are acceptable.

 

Although calculators are an important and useful tool for learning calculus related content, there is a dangerous potential for abuse and over-dependency. A word to the wise: Use calculators only to enhance learning—not to avoid it. Try to understand how calculators accomplish the commands you enter so that you better understand their capabilities and limitations and so that you can better interpret the displayed results. Do not become dependent on a calculator to perform fundamental computations that can be done more efficiently using other techniques (once mastered).

 

As incentive for following the suggestions above, exact answers are often required on exams. Thus, rather than giving a calculator’s decimal approximation, you may be required to leave symbols, such as p, , , e, etc., as part of the answer. You may also be asked on exams to show your work, etc. rather than use your calculator.

 

Tutoring:

Free tutoring is provided at various times and locations by the Academic Resource Center (see http://www.usu.edu/arc/index.php?site_id=17#math).

 

Assignments: 

At the end of this syllabus, you will find a list of textbook homework problems.  Homework will be due on the class-day following the day that the assignment is given.  Assignments can be handed in at the end of class or brought to the instructor’s office anytime before the end of the day (just slip the assignment under the door if nobody is there).  Make sure your name and class time appear prominently on the front page of each assignment.  Late homework will be accepted for partial credit only.  Homework will not be accepted more than two class days late, NO EXCEPTIONS.

 

You may work with others or consult with anyone on the homework, but be sure you can do the problems independently and understand the related concepts. Peek in the Solutions Manual only as a last resort.  Then come back later to see if you can do the problem by yourself. The TEC CD may be of help for the exercises whose numbers are displayed in red. Help on homework can also be obtained at the tutoring sessions or by visiting your instructor. Problems with the homework may be discussed in class, as time allows.

 

Homework assignments will be graded on a 10-point scale.  These 10 points will be distributed as follows: 6 points for completion, 4 points for accuracy of a few select problems. Additional homework assignments/projects may be assigned at the instructor’s discretion.  At the end of the semester, all homework (except the lowest two scores which will be dropped to account for bad luck, absences, etc.) will be totaled and scaled so that the total possible will be 80 points. Please keep all returned homework until after grades are posted and you are satisfied that your scores have been recorded accurately.

 

The final homework assignment will not be collected, but students may see homework problems from this assignment or similar problems on the final exam.

 

Examinations:

There will be two 100-point midterm exams and a 200-point comprehensive final exam (Drop the class immediately if you will not be available for the final exam as scheduled in the official USU Spring 2004 Schedule of Classes). Midterm exams will not be given early or late to an individual except under extremely extraordinary circumstances; requests to do so are not appreciated. Please keep copies of all exams until grades are posted and you are satisfied that your scores are recorded accurately.

 

Sample Exams:

Copies of old exams will be made available at the website http://eres.usu.edu/courseindex.asp. To get to the exams, choose ROWLEY from the instructor menu (you may ignore the other menus and search windows) then click on the appropriate GO-button. Click on MATH 2210 and use the password row2210. At this point the titles of all available exams should be displayed.  Click on the one you want.

 

 

Grading:

An approximate grade breakdown is shown below.  The final breakdown may be adjusted to account for test difficulty, etc. Any questions about the grading policy or your standing in the class can be directed to your instructor during an office visit.  Due to laws governing privacy, grades can no longer be posted by student ID numbers or given over the phone. Grades will be posted, but you will need to remember your scores on the exams to identify which set of scores is yours.

 

Approximate grade breakdown:

480      A         431      B         383      C         311      D

432                  384                  312                  240     

 

Incomplete Grade:

A grade of incomplete will be given only if you have serious (usually medical) problems that prevent you from completing the course, can produce documentation, and are passing the course with most of it complete. Should you get a grade of incomplete, together with the instructor, you will agree on a plan to complete the course in a reasonable period of time. The scores that you acquired up until the event which prevents you from completing the course will be included in the computation of your grade. Never will an incomplete be given to avoid a bad grade!  NO EXCEPTIONS!


 

Americans with Disabilities Act:

Title II of the Americans with Disabilities Act mandates that all State and Local Government programs be administered in such a manner as to protect qualified individuals with disabilities from discriminatory treatment.  Utah State University complies with this policy, and therefore:

 

If a student has a disability that will likely require some accommodation by the instructor, the student must contact the instructor and document the disability through the Disability Resource Center, preferably during the first week of the course.  Any requests for special considerations relating to attendance, pedagogy, taking of examinations, etc. must be discussed with and approved by the instructor.  In cooperation with the Disability Resource Center, course materials can be provided in alternative formats--large print, audio, diskette, or Braille.

 

Note: The student is responsible for contacting the Disability Resource Center for specific services.

 

Important dates:                                                                                     

Jan. 17       No Classes (MLK Day)                 Feb. 21            No Classes (President’s Day)

Jan. 31       Last day to add classes                   Feb. 22            Attend Monday schedule

Feb. 1        Last day to drop classes without     March 11         *Test #2

                  “W” notation on transcript   March 14-18                No Classes (Spring Break)

            Feb. 4        *Test #1                                         April 29            Final Exam, 8:30 class

                                                                                                                  (7:30-9:20)

                                                                                    May 2              Final Exam, 10:30 class

                                                                                                                  (9:30-11:20)                                                                      

* Midterm test dates are tentative!

Weekly Schedule (rough guideline):

 

Week 1

Week 2

Week 3

Week 4

Week 5

Week 6

Week 7

11.1

11.2

11.3

11.4

11.5

11.6

11.7

Test #1

12.1

12.2

12.3

12.4

12.5

12.6

 

 

 

 

 

 

 

Week 8

Week 9

Week 10

Week 11

Week 12

Week 13

Week 14

12.7

12.8

13.1

Test #2

13.2

13.3

13.3

13.4

13.4

13.5

13.6

13.7

13.7

13.8

 

 

Math 2210 Homework List

 

SEC.   Topic                                                   ASSIGNED PROBLEMS

 

11.1    Functions of Several Var.                 1 2 6 7 8 9 10 12 13 14 15 16 17 19 20 21 23 31 32 33 34 35 36 37 38 41

11.2    Limits and Continuity                        1 2 4 5 6 7 11 13 16 17 21 25 27 29 31 33 34

11.3    Partial Derivatives                            3a 5 6 8 9 13 16 17 21 25 26 35 37 40 43 47 48 52 57 60 62ad 68 75

11.4    Tangent Planes                                 1 3 9 10 13 15 18 19 22 23 28 29 31

11.5    The Chain Rule                                  1 2 5 6 9 11 12 15 17 20 21 23 26 27 31a 35a 39

11.6    Directional Der./Gradient                 1 5 8 12 13 16 18 21 23 24 32 34 35 38 41 44

11.7    Max. and Min. Values                       1 3 5 7 10 11 13 19 23 25 27 33 35 39

11.8    LaGrange Multipliers                        1 3 5 6 8 13 17 19 23 27 29

12.1    Double Int. Over Rectangles            1ab 3b 6 7 9 13 14 17 18

12.2    Iterated Integrals                                1 4 5 8 9 11 12 15 18 19 21 24 29

12.3    General Double Integrals                 1 3 4 7 10 11 17 19 20 23 29 31 32 35 36

12.4    Double Integrals (Polar)                   1 2 3 4 5 6 7 9 10 11 15 16 17 21 23 25 27 29 31

12.5    Double Int. (Applications)                 3 5 9 10 11 12 13 14

12.6    Surface Area                                     1 2 5 6 7 8 9 10 22

12.7    Triple Integrals                                   1 3 4 5 7 11 12 15 18 23 27 29 30 32 35 38 41 45

12.8    Triple Int. (Cyl. & Spherical) 1 3 5 6 7 9 10 13 15 17 18 21 25 29 30

12.9    Multiple Int. (Change of Var.)           1 3 6 11 12 15 17 21 22

13.1    Vector Fields                                     3 5 11 12 13 14 15 16 17 18 21 23 26 29 30 31 32

13.2    Line Integrals                         1 3 5 6 7 9 11 13 14 15 16 17 19 21a 25 27 31 33

13.3    Line Int. (Fundamental Thm.)           1 2 3 4 5 9 11 13 16 19 22 23 29 31 33

13.4    Green’s Theorem                              1 7 9 10 13 15 17 19 25 27

13.5    Curl and Divergence             1 4 5 7 8 9 10 11 14 15 17 19 21 23

13.6    Surface integrals                               3 7 9 12 15 19 21 22 25 33 34

13.7    Stokes’ Theorem                              1 2 3 5 6 7 8 9 13 14

13.8    The Divergence Theorem                1 3 4 7 9 10 13 14 17