Math 233 (Calculus III), Fall 2017

(under construction - check periodically for updates)

Course chair

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

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

Class Number	Section	Instructor	Location	Meeting Time
35729	233.1	Andrew Havens	Goessman 151	9:05 - 9:55, MWF
35724	233.2	Maria Nikolaou	LGRT 123	11:15 - 12:05, MWF
35731	233.3	Noriyuki Hamada	LGRT 123	12:20 - 1:10, MWF
35732	233.4	Noriyuki Hamada	LGRT 123	1:25 - 2:15, MWF
35727	233.5	Dinakar Muthiah	Goessmann 151	10:00 - 11:15, TuTh
35728	233.6	Dinakar Muthiah	Goessmann 151	11:30 - 12:45, TuTh
35723	233.7	Luca Schaffler	Goessmann 151	1:00 - 2:15, TuTh
35730	233.8	Luca Schaffler	Goessmann 151	2:30 - 3:45, TuTh
35725	233.9	William Meeks	LGRT 123	8:30 - 9:45, TuTh
35726	233.10	Sean Hart	LGRT 143	2:30 - 3:45, MW
35733	233.11	Maria Nikolaou	LGRT 123	10:10 - 11:00, MWF

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 (8-th (Hybrid) Edition) by James Stewart. Customized Hybrid version for University of Massachusetts-Amherst. Brooks/Cole Cengage Learning, 2012.

This is a paperback version of the 8-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 Net Id
Institution: umass
Password: spire 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 NOT be allowed to use a calculator on exams. 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 5	12.1, 12.2,	First lecture Tuesday Sept 5
Sept 11	12.3, 12.4, 12.5,
Sept 18	12.6, 10.1, 13.1, 13.2,	Last day to drop with no record: Monday Sept 18
Sept 25	13.3, 13.4
Oct 2	14.1, 14.2	Exam 1 on Tuesday, Oct 3
Oct 9	14.3, 14.4	Tuesday Oct 10 is on a Monday schedule: Columbus Day Monday Oct 9
Oct 16	14.5, 14.6	Last day to drop with 'W' and select P/F Thursday Oct 19
Oct 23	14.7, 14.8
Oct 30	15.1, 15.2
Nov 6	15.3, 10.3	Exam 2 on Tuesday, Nov 7: Saturday Nov 11 Veterans' day
Nov 13	15.4	Thanksgiving recess begins on Sunday Nov 19
Nov 27	16.1, 16.2	Classes resume on Monday Nov 27
Dec 4	16.3, 16.4
Dec 11	Final Dec 18	Last day of classes: Dec 12, Reading days Dec 13 and 16. Semester ends Dec 21

Course Topics Covered

12.1 Three-dimensional Coordinate Systems
12.2 Vector
12.3 The Dot Product
12.4 The Cross Product
12.5 Equations of Lines and Planes
12.6 Cylinders and Quadric surfaces
10.1 Curves defined by Parametric Equations
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature
13.4 Motion in Space: Velocity and Acceleration
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers
15.1 Double Integrals over Rectangles
15.2 Double Integrals over General Regions
10.3 Polar Coordinates
15.3 Double Integrals in Polar Coordinates
15.4 Applications of Double Integrals
16.1 Vector fields
16.2 Line integrals
16.3 The Fundamental Theorem for Line Integrals
16.4 Green's theorem

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.

A: 90% - 100%
A-: 87% - 90%
B+: 83% - 87%
B: 79% - 83%
B-: 75% - 79%
C+ 71% - 75%
C: 67% - 71%
C-: 63% - 67%
D+: 59% - 63%
D: 55% - 59%
F: 0% - 55%

Final and midterm exams

The final exam will be cumulative, with some emphasis placed on topics covered after the second exam. The final exam is scheduled for Monday December 18 from 8:00 AM to 10:00 AM in the Boyden Gym. 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 3 and Tuesday November 7, each at night from 7 PM to 9 PM. The dates the makeup midterm exams during the semester are Wednesday October 4 and Wednesday November 8, each at night from 7 PM to 9 PM. The Location for the MAKEUP midterm exam 1 is ILCS131. The location for MAKEUP midterm exam 2 is LGRT 123

The locations of Midterm 1 and 2 are :

Room HASA 126 - Havens sections 1

Room THOM 106 - Nikolaou sections 2, 11

Room MARC 131 - Hamada sections 3, 4 and Hart section 10

Room ELAB II 119 - Muthiah sections 5, 6

Room GSMN 064 - Schaffler sections 7, 8

Room HASA 124 - Meeks section 9

The material to be covered on Exam 1 is through Section 13.2. 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 NOT be allowed to use a calculator on exams. 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 2017 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.

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