Instructor: Jeffrey Connors
E-mail: jeffrey.connors@uconn.edu
Office: ACD 114C
Office hours: M,W 3:15-4:15 PM, or just drop by anytime to see if I am available, or e-mail me to make an appointment.
Class time and room: M,W 1:25 - 3:05 PM in ACD 207.
Text:
Calculus, 8th Edition by Stewart. UConn has a custom edition, but it may be possible to use other editions. You will need to have WebAssign access (you purchase an access code), which comes with the version in the bookstore. But you can always contact WebAssign/Cengage to discuss things case-by-case.
The multivariable calculus course extends many of the techniques developed in the first two semesters of calculus to multiple dimensions, which is needed to model real-world phenomena. Some examples are vectors, rates of change in different directions, and integration along a path, over a surface or volume. A complete list of topics is shown in the schedule below.
PDF SYLLABUS
Class notes: Slides will be available online to download freely,
well in advance of the scheduled lectures (links appear below). Class time
should
NOT be spent transcribing the slide contents into your
personal notes. Minimal note taking should be required; please do so in a
way that does not require everyone to always wait for you to catch up!
Homework: Homework will be assigned for each lecture. We will use the
WebAssign system: www.webassign.net.
Homeworks are intended to help prepare you for specific exams. All homework
pertaining to a certain exam is due at the start of that exam. Late
homework therefore fails to achieve the purpose of helping to prepare you for
the exam, and is not accepted under any circumstances.
Worksheets: These will be administered most classes and will be related
to the material covered during the previous lecture. They may be worked individually or in groups, but there is a time limit. The answers are covered in
class with open discussion, but they are collected for credit to ensure serious
participation and to provide comments, if applicable. No worksheet
grades will be dropped. There will be no make-ups without
receiving permission prior to the start of class.
Calculators: The use of calculators will not be permitted on exams. Calculators may be used on homework and worksheets.
Grading policy:
The course grade consists of four equally-weighted
parts: CG = 0.25*(A+B+C+D), where A, B, C and D are the chapter
grades . Essentially, grade A corresponds to the book chapters 12 and
13. Grades B, C and D correspond to book chapters 14, 15 and 16,
respectively. Not all of the material in the chapters is covered (see below).
Each chapter grade is independently calculated two ways, as shown below, and taken to be the best of the two results:
Grading scheme 1:
| Homework | 20% |
| Worksheets | 5% |
| Exam | 75% |
Grading scheme 2:
| Homework | 0% |
| Worksheets | 0% |
| Exam | 100% |
The exam for the fourth chapter grade is the ``final exam'', but this is treated no differently from
the other exams aside from being scheduled as described below. Make-up
exams will only be available with permission granted prior to the start of the
exam. There must be extenuating circumstances to receive permission for a
make-up exam.
Final exam: TBA.
| Date | Book Sections | Topics | Notes |
|---|
| Aug. 27 | 12.1 | 3D coordinates, vectors | |
| Aug. 29 | 12.2-12.3 | Vectors and dot products | Worksheet |
| Sept. 3 | | | Labor Day - no class |
| Sept. 5 | 12.4-12.5 | Cross products, lines, planes | Worksheet |
| Sept. 10 | 12.6, 13.1 | Surfaces, vector functions | Worksheet |
| Sept. 12 | 13.2, 13.3 | Derivatives, integrals, arc length, curvature | Worksheet |
| Sept. 17 | 13.3, 13.4 | Arc length, curvature, velocity, acceleration | Worksheet |
| Sept. 19 | 12.1-13.4 | Review for Exam 1 | Worksheet |
| Sept. 24 | | | Exam 1 |
| Sept. 26 | 14.1-14.2 | Functions, limits and continuity | |
| Oct. 1 | 14.3, 14.4 | Partial derivatives, linear approximations | Worksheet |
| Oct. 3 | 14.5, 14.6 | Chain Rule, directional derivatives | Worksheet |
| Oct. 8 | 14.7, 14.8 | Maxima and minima, Lagrange multipliers | Worksheet |
| Oct. 10 | 14.1-14.8 | Review for Exam 2 | Worksheet |
| Oct. 15 | | | Exam 2 |
| Oct. 17 | 15.1, 15.2 | Double integrals, Fubini's Theorem | |
| Oct. 22 | 15.3, 15.4 | Other regions of integration | Worksheet |
| Oct. 24 | 15.5, 15.6 | Applications of double integrals | Worksheet |
| Oct. 29 | 15.7, 15.8 | Triple integrals | Worksheet |
| Oct. 31 | 15.9, 15.10 | Spherical coordinates, change of variables | Worksheet |
| Nov. 5 | CH. 15 | Review for Exam 3 | Worksheet |
| Nov. 7 | | | Exam 3 |
| Nov. 12 | 16.1, 16.2 | Vector fields, line integration | |
| Nov. 14 | 16.3, 16.4 | Line integrals, Green's Theorem | Worksheet |
| Nov. 19 | | | Thanksgiving break - no class |
| Nov. 21 | | | Thanksgiving break - no class |
| Nov. 26 | 16.5, 16.6 | Curl, divergence, parametric surfaces | Worksheet |
| Nov. 28 | 16.7, 16.8 | Surface integrals, Stoke's Theorem | Worksheet |
| Dec. 3 | 16.8, 16.9 | Stoke's and Divergence Theorems | Worksheet |
| Dec. 5 | All | Review for final exam | Worksheet |
| Dec. 12 (1-3 PM) | | FINAL EXAM | |