Math 233: Multivariable Calculus, Spring 2009

Course Chair

Prof. Bill Meeks,
1536 LGRT
Ph: 545-4239
e-mail: bill@math.umass.edu     The best way to contact me is by email.
Main course web page:     www.math.umass.edu/~bill/m233/math233s09.html

Description

This course is part of a 3-semester sequence (131-132-233), covering standard material on differential and integral calculus at an" intermediate level: more sophisticated (and much faster moving) than high school calculus, but with less emphasis on theoretical rigor than in advanced courses such as Math 425 or 523. Instead the emphasis is on basic concepts, methods, and applications suitable for students majoring in engineering, natural sciences, computer science, and mathematics.

Textbook: 

Calculus: Early Transcendentals 6e, Volume 2 (6th Edition) by James Stewart.Customized version for University of Massachusetts-Amherst. Cengage Learning, 2008. This is a paperback version of the 6th edition. Make sure you have the CORRECT EDITION and VOLUME of the textbook. Homework problems will be taken from the mentioned edition. All lecture sections also require the WebAssign on-line system for homework, to which you must purchase access.

Textbook+WebAssign             When you buy a copy, be sure to buy the WebAssign coupon, too. Last semester the coupon was $7.00 at the Textbook Annex at Umass and $35.00 online. The Textbook Annex will probably run out of coupons again so buy it early; I am not sure if you can buy the coupon without buying the text book but I believe that you can.

Due dates for homework assingments will be announced by your inctructor and listed in WebAssign. Logging in to WebAssign at WebAssign.com On the log-in page, give your...

  • Username: your UMass Student ID number
  • Institution: umass
  • Password: initially, your UMass Student ID number (change it as soon as possible, and make it something you'll remember but others won't be able to figure out!)

    • Two weeks after the semester's start, you will need to enter your WebAssign access code when you log in. You get this access code when you buy the textbook + WebAssign package. You may also buy an access code from the WebAssign site, but that's more expensive.


    Exam Schedule

    Exam 1: March 5 (Thursday), Time 7:00-9:00 pm., Sections 1, 2, 3, 4, 5 in room: 131 Marcus and sections 6, 7, 8 in room 64 GSMN
    Exam 2: April 16   (Thursday).  Time 7:00-9:00 pm., Sections 1, 2, 3, 4, 5, 6, 7, 8 in Totman Gym:
    Final Exam: Date: May 14 Time: 1:30 - 3:30 Place: Boyden Gym

    Exam policies:

    Make-up policies:  Please familiarize yourself with the procedures for granting requests for make-up exams. All make-up exams will be made and given by the individual instructor.

    Instructors 25%

    Each instructor will determine 25% of a student's course grade, based on the student's performance in such areas as homework, quizzes, projects, attendance, etc. How this portion of the grade is computed is solely up to the discretion of your instructor. In particular, different instructors may compute this portion differently.


    Grading

    The grading of the course will be as follows. There will be a final exam worth 25%, Exam #1 and #2 during the semester worth 25% each. The final 25% of each student's grade will be determined by his or her section instructor ("Instructors 25%").
    Scale for letter grades is as follows:



    A: 90% - 100%         C: 70% - 73%        
    A-: 87% - 90% C-: 67% - 70%
    B+: 83% - 87% D+: 63% - 67%
    B: 80% - 83% D: 60% - 63%
    B-: 77% - 80% F: 0% - 60%
    C+ 73% - 77%

    Schedule of lectures

    The following is meant to give a general idea of which sections are covered in which weeks. Coverage may be different depending on such factors as MWF vs. TuTh schedule, different paces of individual instructors, etc. However, it is expected that all these sections will be covered.

    Week of Sections Remarks
    Jan 26 12.1, 12.2 First class Monday
    Feb 2 12.3, 12.4, 12.5
    Feb 9 12.6, 10.1, 13.1
    Feb 16 13.2, 13.3, 13.4 Holiday (Monday)-Presidents Day
    Feb 23 14.1, 14.2
    Mar 2 14.3, 14.4 Exam 1 on Thursday Mar 5
    Mar 9 14.5, 14.6
    Mar 16
    Mar 23 14.7, 14.8
    Mar 30 15.1, 15.2
    Apr 6 15.3, 10.3
    Apr 13 15.4, 15.5 Exam 2 on Thursday April 16
    Apr 20 16.1, 16.2 Holiday(Monday)-Patriots Day. Tuesday on Monday schedule.
    Apr 27 16.2, 16.3
    May 4 16.4
    May 11 Review Last class Tuesday May 12. Final exams begin Thursday May 14, end Thursday May 21.

    Suggested Homework Assignments / Syllabus

    Section Topic Recommended Homework
    12.1 Three-dimensional coordinate systems 3, 7, 11, 13, 17, 23, 31
    12.2 Vectors 3, 11, 15, 19, 24, 31, 37
    12.3 The dot product 5, 7, 9, 17, 19, 23, 27, 37, 39, 43, 51, 52
    12.4 The cross product 1, 3, 11, 15, 29, 33, 39, 45
    12.5 Equations of lines and planes 2, 3, 4, 5, 7, 11, 12, 13, 19, 25, 27, 31, 35, 39, 45, 55, 69, 71
    12.6 Cylinders and quadric surfaces 3, 5, 11, 21-28, 41, 43
    10.1 Curves defined by parametric equations 1, 7, 21
    13.1 Vector functions and space curves 7, 11, 15, 19-24, 35
    13.2 Derivatives and integrals of vector functions 3, 5, 9, 11, 19, 25, 33, 37, 49
    13.3 Arc length (omit curvature) 1
    13.4 Motion in space: velocity and acceleration 3, 5, 9, 11, 15, 19, 23
    14.1 Functions of several variables 11, 23, 25, 29, 37, 39, 55, 56
    14.2 Limits and continuity 7, 9, 27, 33
    14.3 Partial derivatives 3, 5, 15, 17, 19, 21, 35, 37, 41, 47, 49, 81
    14.4 Tangent planes and linear approximations 1, 3, 5, 17, 19, 25, 29
    14.5 The chain rule 1, 5, 11, 13, 15, 17, 21, 27, 39
    14.6 Directional derivatives and the gradient vector 1, 5, 7, 11, 13, 21, 23, 39, 53, 59
    14.7 Maximum and minimum values 5, 7, 11, 29, 31
    14.8 Lagrange multipliers 3, 5, 7, 19
    15.1 Double integrals over rectangles 1, 5, 11
    15.2 Iterated integrals 3, 5, 7, 11, 13, 15, 21, 23, 27, 35
    15.3 Double integrals over general regions 1, 3, 5, 7, 13, 19, 21, 23, 39, 43, 45
    10.3 Polar coordinates (omit tangents) 1, 3, 5, 7, 9, 15, 29, 31, 39
    15.4 Double integrals in polar coordinates 7, 11, 19, 21, 29, 31
    15.5 Applications of double integrals 3, 5
    16.1 Vector fields 1, 3, 5, 11-18, 21, 25
    16.2 Line integrals 1, 3, 7, 11, 17, 19, 23
    16.3 The fundamental theorem for line integrals 3, 5, 7, 11, 13, 21, 23
    16.4 Green's theorem 1, 3, 9, 11, 13", 19

    Practice Exams:

    Below are some practice exams and review problems offered in previous semesters. While these can be useful in preparing for exams,  you should be aware that there may be signifcant variation  in the choice of topics and the difficulty of the questions in various exams from different terms and years. You should not assume a particular topic or type of problem on a practice exam will necessarily appear on  the exams during the present term. The choice often depends on the pace and timing of lectures in different years, and the decisions made by different groups of Math 233 instructors.  The recommended homework problems above are suitable material for exam questions,  whether or not a similar topic or question was included in an exam from a previous semester. There will be further announcements about the particular exams on this web page throughout the term. You should also consult with your instructor. The exams for Math 233 for Spring 2009 will be written by the course chair and reviewed by all Math 233 instructors.

    Practice Exam Problems   Here is a collection of problems from OLD EXAMS which you can use as preparation. This up dated version includes the old exam problems from Fall 2008. Here guides for studing for the different exams: Guide 1, Guide 2, Guide 3 . Worked out solutions of old exams problems to be used for reviews: Review 1, Review 2, Review 3

    Times and locations of reviews for Exams 1, 2 and the Final Exam

    Reviews for Exams 1 and 2 will be given at night the two days before the exam from 6:30 - 9:00pm. We will have the review in room 131 Marcus on Tuesday March 3, Tuesday April 14 and room Thompson 104 on March 4 and April 15. Note that the reviews are in 2 different rooms before each midterm, Tuesdays in Marcus and Wednesdays in Thompson. The review for the final exam will be on May 13 1-4pm LGRT 103.

    Section Meetings - Instructor, section times, locations and web sites.

    (If the links below are not yet working, then try again at a later date.)

    Section 1   Dalakov           MWF 10:10-11:00     TBA     Schedule# 15214

    Section 2   Dalakov           MWF 11:15-12:05     TBA     Schedule# 15215

    Section 3   Zhang           MWF 12:20-1:10 PM     TBA     Schedule# 15216

    Section 4   McGibbon         TuTh 9:30-10:45 AM     TBA     Schedule# 15217

    Section 5   Cahill             TuTh 11:15-12:30     TBA     Schedule# 15218

    Section 6     Wolbach             TuTh 1:00-2:15 PM     TBA     Schedule# 15270

    Section 7     Meeks             TuTh 2:30-3:45 PM     LGRT 321     Schedule# 15219

    Section 8   Han             MWF 10:10-11:00     TBA     Schedule# 15220

    Tutoring/Office Hours Math 233 - in the Calculus Tutoring Center in LGRT 110 (See the following website for the updated information on schedule of tutors www.math.umass.edu/Undergrad/ctc.html )

    Monday

    Tuesday

    Wednesday

    Thursday

    * means that this is a regular math 233 instructor. The other instructors probably can help you as well but are not ideal.