MATH 2421 Calculus III (Spring 2007)


Mon. and Wed. 5:30-7:20 pm; SO 229

Lynn S. Bennethum (instructor)
Office: CU 638, Phone  (303) 556-4810
Office hours: Mon. and Wed. 4:20-5:20 pm in Sci 132
                        Tues. 2:00-3:00 in CU 638, or by appointment.
        Office hours of other Calc III Instructor,  Mike Kawai, Tues 11:20-11:50, TR  1:50-2:20, Sci 132 

e-mail: Lynn.Bennethum@cudenver.edu

Course Capatin:  MIKE KAWAI  (can be found in MERC lab when he is not teaching).                                                                                                                   
Web pages:


Fax: (303) 556-8550
Home Phone: (303) 683-6983 (Please call after 9am and before 9:30pm - about half the time I work at home on Fridays).

Textbook: Calculus Concepts & Connections by R. T. Smith and R. B. Minton 2006, McGraw-Hill, New York.  We cover Chapters 8-12.  If you bought a new textbook with a MathZone Student Access Kit then hang onto it (more on this later).

Couse Description:  Topics include vectors, vector-valued functions, partial differentiation, multiple integration, and vector calculus.

Prerequisite: Calculus II (Math 2411)

Course Goals:

Grading: The point distribution will be as follows:
 

Homework: 20%
Project : 10%
Test 1
20%
Test 2 20%
Final: 30%
Total: 100%

Homework and the project grades will not be scaled.  Each test and the final exam will be curved. For example, suppose on test 1 you receive 84 points out of a possible 120 and the curve is such that 75-90 is a C. Then your test grade will be recorded as
                                      x = (84-75)*(80-70)/(90-75) + 70 = 76.

Your final grade will be determined on a straight scale:

90-91.9%     A- 92-100%     A (A+ can't be given)
80-81.9%     B- 82-87.9%     B 88.0-89.9%     B+
 
70.0-77.9%    C  78.0-79.9% C+
 
55.0-69.9%    D  
Below 55.0%   F
There is one exception to this: your homework and project cannot affect your grade by more than one letter grade.  Thus, if you fail the midterm and final, the highest grade you can get in the class is a D, even if you get an A on your homework and the computer project.

Homework:
     Homework will be assigned weekly, and will be due at the beginning of class the following week. I believe doing homework is vital to learning the material in this class.  You should expect to spend at least 8 hours/ week on the homework and preparing for class.  However you should spend your time wisely.  If you find yourself working on one problem for more than 10 minutes without progressing, then move on to another problem - often doing other problems will clarify something which you needed to do for the original problem.   If you are getting stuck on all the problems, then it is time to talk with a classmate (working together is encouraged!) or to come see me.
     I will grade 4-6 problems from each homework set and you will get additional points for attempting every problem. Each homework will be worth 30 points. I will accept late homework, but with a penalty. Homework turned in during class to the next class will get half credit.  Homework turned in more than one class late will receive no credit.   If you think I have made a mistake in grading a problem (not unheard of!), then you need to tell me within a week after the homework is returned. A list of all assignments will be kept on my homepage. The lowest two homework grades will be dropped.

    The purpose of homework is for me to give you feedback on your logic.  It defeats the purpose then if you just write down the answer (this will be worth zero points unless it's a short answer question).  Take advantage of my giving you feedback - if you are not clear on a step write out the question and denote it clearly.   For each homework question:

  1. Give a short summary of the problem statement.  I should not have to refer to the text to determine the problem statement.
  2. Organize all work neatly.  It should be written so that a classmate who does not know how to solve the problem can follow your solution easily. 
  3. Box or highlight your final answer.
Math Zone:
  1. This is the only form of extra credit  we offer for this course.  Mike Kawai has selected approximately 100  questions from the MathZone quiz bank.  If you bought your textbook new from the bookstore, then you probably have a kit enclosed with your text.  If you used MathZone during a previous semester, then your password is still probably good (ask Mike Kawai about it).  If you wish to use the MathZone resources and you do not have a kit, then you must purchase one on-line at www.mathzone.com.
  2. For each MathZone assignment (NOTE THAT EACH ONE HAS A SPECIFIC COMPLETION DEADLINE!), you may have 3 attempts to score 100%.  At the end of each attempt, MathZone will display your score and give the correct answer to each problem.  MathZone has, in the past, made some errors when scoring the quizzes.  If you feel that MathZone has made an error and you want me to modify your score, you must PRINT OUT the results of that quiz and hand it in to me.
  3. You may do the MathZone Quizzes at home or in the MERC lab (this is clearly a cheap ploy to lure you into the MERC Lab and spend some time with the assistants and/or other students in this course!).
  4. MathZone automatically keeps the weighted percentage of your correct solutions.  At the end of the course, you will receive COURSE percentage points based on your weighted percentage.
    Weighted Percentage Course Percentage Extra Credit
    90% or more 5%
    80%-89.9% 4%
    70%-79.9% 3%
    55-69.9% 2%
    25%-54.9% 1%

Exams and Final:  
There will be two in-class exams and a final.   The uniform final exam is scheduled on Sat. May 5th, 9:00am-noon, and will be cumulative.  For each exam a note sheet will be provided for you.  You will get a copy of the note sheet before the exam.  No technology of any kind will be allowed.  I do not plan to give any make-up tests. If you must miss a test, please contact me BEFOREHAND, as I will tend to be more lenient. However, if I am approached after the fact, I will expect some ``hard'' evidence (i.e. doctor's excuse, death certificate...) Whatever the circumstance, please get in touch with me.

Project:  There will be one project due in this class.  The project will involve vector fields and magnetic fields.  More details will be provided as we approach the final chapter.

Technology: A graphing calculator (TI-89/92) is often very handy during lectures to check boardwork.  You may also use technology on assigned homework problems and project, though it will be expected that you can work many problems by hand.  Technology will NOT be allowed on exams.  If you have a Window PC, you may obtain a free version of DERIVE5 from the MERC Lab.  Follow the installation instructions carefully!  If you would like to use your own computer/software, please see me so that we can be sure that your software does what is necessary for this class.  Software which has been used successfully in the past include:  Math Cad, Mathematica, Matlab, and Maple.  You must be able to print out your results.

Free On-Line Tutoring:  The three campuses of Univ. of Colorado (Boulder, Colorado Springs, and Denver) have combined resources to offer free on-line tutoring.  It is primarily designed for Calc 2 and lower, but many of the tutors are qualified to answer questions from Calc 3.  You will need administrative privileges to download a small application which allows you to type in mathematical symbols.  The web address is:  http://onlinetutor.cu.edu.  It works on Netscape and Internet Explorer and is staffed from 5-10pm Sun-Thurs and weekends (hours are on the web site).  You may want to just login the first time during the first week to check it out.

Cheating: Cheating of any kind results in a grade of F and possible expulsion from the university. It isn't worth it, so don't do it.

Final Exam: The uniform final is scheduled for SATURDAY May 5th, 9:00-noon.    Attendance at the Final Exam is mandatory.  The Final Exam CANNOT be given in advance.  Requests can be made to reschedule the exam if it conflicts with another final exam.  Otherwise having the final re-scheduled is extremely rare and is not permitted for reasons such as plane tickets purchased early and attendance at weddings. Plan accordingly!

Drops and Incompletes:  You have until APRIL 2nd to drop this course with only the instructor's (but not the Dean's) signature.  The incomplete policy of the department and college is strictly enforced.  Incomplete grades (IW or IF) are not granted for low academic performance.  To be eligible for an incomplete grade, students must meet all of the following requirements:

  1. The student successfully completed a minimum of  75% of the course.
  2. There were special circumstances beyond the student's control that precluded the student from attending class and completing the course.
  3. Verification of these special circumstances is required.
  4. The student has made arrangements to complete the missing coursework with the original instructor via a CLAS Course Completion Agreement.  The Course Completion Agreement is available from the CLAS Advising office (NC 2024) or from the Department of Mathematical Sciences.
Religious Holiday Accomodations:  You must inform me at the beginning of the semester in order for me to accomodate any rescheduling of your coursework.

Disability Accomodations:  To be eligible for accomodations, students must be registered with the UCDHSC office of Disability Resources and Services (DRS).  The office is located in the Arts Bldg. in Room 177 (303) 556-3450.  Faculty cannot arbitrarily decide to give a student extra, extra assistance, or other forms of aid unless it is formally mandated by the DRS.

Dean's Office Announcements:
  1. All students must always have an accurate mailing and e-mail addresses.  This is the formal way the university contacts students for e.g. classroom changes, graduation requirements, tuition notices, etc.  To update this information, please go to:  http://www.cudenver.edu/registrar.  (This webpage also has all details concerning registration payment deadlines).
  2. 18 January 2007 - Last day to be added to a wait-list.
  3. 18 January to 31 January 2007 - Students are responsible for verifying an accurate Spring 2007 course schedule via the SMART registration system.  Students are NOT notified of their wait-list status by the university.  All students must check their schedules prior to 31 January for accuracy!
  4. January 19, 2007 at 5PM; Wait lists are dropped.  Any student who was not added to a course automatically from the wait list by this date and time MUST complete a drop/add form to be added to the class.  Students are NOT automatically added to the class from the wait list after this date and time.
  5. January 22, 2007; First day an instructor may approve a request to add a student to a course using the Schedule Adjustment Form (drop/add form).
  6. January 25, 2007; Last day to add a course using the SMART Web Registration system. Students MUST check their registration to verify what classes they are enrolled in.
  7. January 31, 2007 at 5 PM; Last day to add structured courses without a written petition for a late add.  This is an absolute deadline and is treated as such. This deadline does not apply to independent study, internships, and late-starting modular courses.
  8. January 31, 2007 at 5 PM; Last day to drop a spring 2007 course with a full tuition refund and no transcript notation.  Drops after this date will appear on your transcript.  This is an absolute deadline and is treated as such.
  9. January 31, 2007 at 5 PM; Last day to completely withdraw from all spring 2007 courses with a full tuition refund and no transcript notation.  Drops after this date will appear on your transcript.  This is an absolute deadline and is treated as such.
  10. January 31, 2007 at 5 PM; Last day for students to apply for Spring 2007 Graduation.  Students MUST see their CLAS advisor to obtain a Graduation Application.
  11. January 31, 2007 at 5 PM: Last day to request a No Credit option or Pass/Fail option for a course.
  12. January 31, 2007 at 5 PM: Last day to register for a Candidate for Degree.
  13. January 31, 2007 at 5 PM: Last day to petition for a reduction in thesis or dissertation hours.
  14. April 2, 2007 at 5 PM; Last day for Non-CLAS students to drop individual classes or withdraw from all classes without a petition and special approval from the student’s academic Dean. This is treated as an absolute deadline.
  15. April 13, 2007 at 5 PM; Last day for CLAS students to drop individual classes or withdraw from all classes without a petition and special approval from the student’s academic Dean. This is treated as an absolute deadline.
  16. No schedule changes will be granted once finals week has started.  There are NO exceptions to this policy.


Tentative Schedule:
 

Week of: Sections:
Jan. 17 8.1, 8.2  Vectors in 2D and 3D
Jan. 22 8.3 Dot Product
8.4 Cross Product
8.5 Lines and Planes in 3D
Jan. 29 9.1 Vector-Valued Functions
9.2 Calculus of Vector-Valued Functions
9.3  Motion in Space
Feb. 5 9.4 Curvature/Unit Tangent Vector
9.5 Tangent and Normal Vectors
8.6 Surfaces
Feb. 12 10.1 Functions of Several Variables
10.2 Limits and Continuity
10.3 Partial Derivatives
Feb. 19 10.3 Partial Derivatives
10.4 Total Differential, Linear Approximation
10.5 Chain Rule
Feb. 26 10.6 Gradient and Directional Derivative
THIS IS THE END OF THE MATERIAL FOR TEST 1
10.7 Extrema of Two-Variable Functions
Review for Test 1
March 5 TEST 1 (through Section 10.6)
11.1  Double Integrals
March 12 11.2 Area, Volume, and Center of Mass
11.3 Polar Double Integrals
11.4 Surface Area
March 19 Enjoy Spring Break!
March 26 11.5 Triple Integrals
11.6 Cylindrical Coordinates
11.7 Spherical Coordinates
April 2 12.1 Vector Fields
ILAP demo
12.2 Curl and Divergence
12.3 Line Integrals
April 9 12.3 Line Integrals
12.4 Independence of Path
12.5 Green's Theorem
April 16 12.5 Green's Theorem
Review and Catch-up for Test 2
April 23 TEST 2 (through Section 12.5)
12.6 Surface Integrals (mention Stokes' Theorem)
12.7 Divergence Theorem
April 30 12.7 Divergence Theorem
Review and Catch-up
May 5 SATURDAY 9am-12 noon.  UNIFORM FINAL EXAM
Location to be announced.