Instructor: Jeffrey Connors
E-mail: jeffrey.connors@uconn.edu
Office: ACD 114C
Office hours: M,W 3:15-4:15 PM, or by appointment.
Class time and room: M,W 1:25 - 3:05 PM in ACD 207.
Text:
Calculus, 8th Edition by Stewart.
The multivariable calculus course extends many of the techniques developed in the first two semesters of calculus to multiple dimensions, such as are needed to model real-world behaviors and 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 be spent transcribing the slide contents into your personal notes.
Please take in-class notes in a way that does not require everyone to 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 and are open-book, but there is a time limit and
they are collected for credit. 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.
Each chapter grade is calculated as follows:
| Homework | 10% |
| Worksheets | 5% |
| Exam | 85% |
HOWEVER, in case an exam grade is an ``A-grade'', then the exam grade may be
used directly as the corresponding chapter grade. 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: The final exam is scheduled for Dec. 12 from 1-3 PM in ACD 207.
| Date | Book Sections | Topics | Notes |
|---|
| Aug. 29 | 12.1 | 3D coordinates, vectors | slides |
| Aug. 31 | 12.2-12.3 | Vectors and dot products | Worksheet slides Worksheet 1 solutions |
| Sept. 5 | | | Labor Day - no class |
| Sept. 7 | 12.4-12.5 | Cross products, lines, planes | Worksheet slides Worksheet 2 solutions |
| Sept. 12 | 12.6, 13.1 | Surfaces, vector functions | Worksheet slides Worksheet 3 solutions |
| Sept. 14 | 13.2, 13.3 | Derivatives, integrals, arc length, curvature | Worksheet slides Worksheet 4 solutions |
| Sept. 19 | 13.3, 13.4 | Arc length, curvature, velocity, acceleration | Worksheet slides Worksheet 5 solutions |
| Sept. 21 | 12.1-13.4 | Review for Exam 1 | Worksheet slides Worksheet 6 solutions |
| Sept. 26 | | | Exam 1 |
| Sept. 28 | 14.1-14.2 | Functions, limits and continuity | slides Worksheet 7 solutions |
| Oct. 3 | 14.3, 14.4 | Partial derivatives, linear approximations | Worksheet slides Worksheet 8 solutions |
| Oct. 5 | 14.5, 14.6 | Chain Rule, directional derivatives | Worksheet slides Worksheet 9 solutions |
| Oct. 10 | 14.7, 14.8 | Maxima and minima, Lagrange multipliers | Worksheet slides Worksheet 10 solutions |
| Oct. 12 | 14.1-14.8 | Review for Exam 2 | Worksheet slides |
| Oct. 17 | | | Exam 2 |
| Oct. 19 | 15.1, 15.2 | Double integrals, Fubini's Theorem | slides Worksheet 11 solutions |
| Oct. 24 | 15.3, 15.4 | Other regions of integration | Worksheet slides Worksheet 12 solutions |
| Oct. 26 | 15.5, 15.6 | Applications of double integrals | Worksheet slides Worksheet 13 solutions |
| Oct. 31 | 15.7, 15.8 | Triple integrals | Worksheet slides Worksheet 14 solutions |
| Nov. 2 | 15.9, 15.10 | Spherical coordinates, change of variables | Worksheet slides Worksheet 15 solutions |
| Nov. 7 | CH. 15 | Review for Exam 3 | Worksheet slides |
| Nov. 9 | | | Exam 3 |
| Nov. 14 | 16.1, 16.2 | Vector fields, line integration | slides Worksheet 16 solutions |
| Nov. 16 | 16.3, 16.4 | Line integrals, Green's Theorem | Worksheet slides Worksheet 17 solutions |
| Nov. 21 | | | Thanksgiving break - no class |
| Nov. 23 | | | Thanksgiving break - no class |
| Nov. 28 | 16.5, 16.6 | Curl, divergence, parametric surfaces | Worksheet slides Worksheet 18 solutions |
| Nov. 30 | 16.7, 16.8 | Surface integrals, Stoke's Theorem | Worksheet slides Worksheet 19 solutions |
| Dec. 5 | 16.8, 16.9 | Stoke's and Divergence Theorems | Worksheet slides Worksheet 20 solutions |
| Dec. 7 | All | Review for final exam | Worksheet slides |
| Dec. 12 | | FINAL EXAM | |