Math 233 (Calculus III), Fall 2015

(under construction - check periodically for updates)

Course chair

Bill Meeks, LGRT 1536, (413)-545-4239,  bill at math dot umass dot edu

Contents

Sections and instructors
Short description
Textbook+WebAssign
Calculators and formula sheets policy
Schedule of lectures
Grading
Final and midterm exams
Makeup exams policy
Practice exams and some suggested problems
Need help?

Sections and instructors

Goessmann 152
Class Number Section Instructor Location Meeting Time
34463 233.1 Staff Integ. Learning Center S240 11:15 - 12:05, MWF
34458 233.2 Ivan Mirkovic Goessmann 151 11:15 - 12:05, MWF
34465 233.3 Ivan Mirkovic Goessmann 151 12:20 - 1:10, MWF
34466 233.4 Staff Goessmann 151 1:25 - 2:15, MWF
34461 233.5 Staff Goessmann 151 10:00 - 11:15, TuTh
34462 233.6 Brian Burrell Goessmann 151 11:30 - 12:45, TuTh
34457 233.7 Brian Burrell Goessmann 151 1:00 - 2:15, TuTh
34464 233.8 Staff Goessmann 151 2:30 - 3:45, TuTh
34459 233.9 William Meeks Goessmann 151 8:30 - 9:45, MWF
34460 233.10 Staff TBA 2:30 - 3:45, MWF
34467 233.11 Staff Goessmann 51 10:10 - 11:00, MWF
34540 233.12 Staff LGRT 141 8:00 - 8:50, MWF
34541 233.13 Staff LGRT 171 8:30 - 9:45, TuTh

Short 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 Math 523. Instead the emphasis is on basic concepts, methods, and applications suitable for students majoring in engineering, natural sciences, computer science, and mathematics. Math 233 covers calculus of functions of more than one variable.

Textbook+WebAssign

The textbook for this course is Calculus: Early Transcendentals (7-th Edition) by James Stewart. Customized Hybrid version for University of Massachusetts-Amherst. Brooks/Cole Cengage Learning, 2012.
This is a paperback version of the 7-th edition. Make sure you have the CORRECT EDITION of the textbook.

All lecture sections also require the WebAssign on-line system for homework, to which you must purchase access. When you buy a textbook, be sure to buy the WebAssign coupon, too. Due dates for homework assignments will be announced by your instructor and listed in WebAssign.

If you have not used WebAssign before, to log-in to WebAssign, go to WebAssign.com and give your...

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

One week 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.

Calculators and formula sheets policy

There is no required calculator for the course, although many students find them helpful. You will be allowed to use a calculator on exams, but only to perform arithmetic calculations. You must show all work other than arithmetic calculations. Absolutely no formula sheets, class notes, etc. will be allowed during final and midterm exams. Learning and memorizing formulas takes time. Do not postpone this until the last minute.

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 Lectures Events
Sept 7 12.1, 12.2, First lecture Tuesday Sept 8
Sept 14 12.3, 12.4, 12.5,
Sept 21 12.6, 10.1, 13.1, 13.2, Last day to drop with no record: Sept 21
Sept 28 13.3, 13.4
Oct 5 14.1, 14.2 Tuesday Oct 6: Midterm 1
Oct 12 14.3, 14.4 Tuesday Oct 13 is on a Monday schedule, Columbus Day Monday Oct 12,
Oct 19 14.5, 14.6 Last day to drop with 'W' and select P/F Thursday Oct 22
Oct 26 14.7, 14.8
Nov 2 15.1, 15.2 Second midterm exam Thursday Nov 5
Nov 9 15.3, 10.3 Tuesday Nov 11 Veterans' day
Nov 16 15.4, 15.5
Nov 23 16.1, 16.2 Thanksgiving recess begins after the last class Wednesday Nov 25
Nov 30 16.2, 16.3 Classes resume on Monday November 30,
Dec 7 16.4 Last day of classes: Dec 11, Reading days Dec 12 and 13. Semester ends Dec 21

Grading

The grading of the course will be as follows. There will be a final exam worth 25% and two exams 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%"). This may include homework, quizzes, attendance, etc. Different instructors may compute this portion differently. All scores will be scaled to a 0-100 scale before averaging.

Final and midterm exams

The final exam will be cumulative, with some emphasis placed on topics covered after the second exam. The date and time of the final exam will be scheduled by the university. The final will only be given at that time, and not at any other time for any reason. In particular, adjust your travel plans accordingly; planning to leave for vacation before the final exam is a bad idea.

The dates the midterm exams during the semester are Tuesday October 6 and Thursday Nov 5, each at night from 7pm to 9pm. The dates the makeup midterm exams during the semester are Wednesday October 7 and Friday Nov 6, each at night from 7pm to 9pm.

The material to be covered on Exam 1 is through Section 13.4. The material to be covered on Exam 2 is through Section 14.8.

See the make-up policy below. Be sure to get your instructor to approve you to take any of the two make-up exams which will take place the night following the regularly scheduled exam. If you cannot take a make-up exam at this time and place, then you will need to discuss this before hand with your professor and find a solution to this problem with him/her.

You will be allowed to use a calculator on exams, but only to perform arithmetic calculations. You must show all work other than arithmetic calculations. Absolutely no formula sheets, class notes, etc. will be allowed during final and midterm exams. Learning and memorizing formulas takes time. Do not postpone this until the last minute.

Make-up exams policy

Make-up exams will only be given for reasons described at this page. Above all, remember that you have to notify your instructor at least two weeks in advance.

Practice exams and some suggested problems

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 significant 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.  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 Fall 2014 will be written by the course chair and reviewed by all Math 233 instructors.

Below are study guides, review slides and a collection old exam problems that were organized and written by Prof. Bill Meeks. Note that the numbering of the "Old Exam Problems" corresponds to the numbering of the prolems in the "Reviews" of the Exams 1 ,2 and Final Exam.

Spring 2009: Study guides for: Exam 1,Exam 2,Final Exam
Review for Exam 1.
Review for Exam 2.
Review for the Final Exam.
Old Problems for Exam 1.
Old Problems for Exam 2.
Old Problems for Final Exam.



Here are some problems from Stewart provided as an additional resource to help to prepare for exams. These homework problems were chosen from a previous edition of the book with sometimes a possibly different numbering and so some may not be very appropriate. It is probably better to study for exams by using the above study guides, reviews (the best choice I believe) and old exam problems by Bill Meeks than to use the next recommended practice problems to study for the exams.  

Section

Topic

Recommended problems

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

Need help?

The best way to get help is to visit your instructor's office hours. If you can't make those, try visiting the Calculus Tutoring Center, which has drop-in hours for help with Math 131, 132, and 233. Another option is to visit the Learning Resource Center, which usually has at least a few tutors who can help with 233.

Department of Mathematics and Statistics, UMass