Instructor: Jeffrey Connors
E-mail: jeffrey.connors@uconn.edu
Office: ACD 114C
Office hours: M,W 3-4 PM, or by appointment.
Class time and room: M,W 1:15 - 2:55 AM in ACD 309.
Text:
Calculus, 7th 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
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.
Quizzes: These will be administered most classes and will be related to the
material covered during the previous lecture (see
the schedule below). No quiz grades will be dropped. Make-up quizzes
require my permission, which must be sought before the start of the class
during which the quiz shall be administered.
Calculators: The use of calculators will not be permitted on exams or quizzes. Calculators may be used on homework.
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 calculated as follows:
Homework | 5% |
Quizzes | 5% |
Exam | 90% |
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 December 16 from 1-3 PM in ACD 309.
Date | Book Sections | Topics | Notes |
Aug. 31 | 12.1 | 3D coordinates, vectors | |
Sept. 2 | 12.2-12.3 | Vectors and dot products | Quiz |
Sept. 7 | | | Labor Day - no class |
Sept. 9 | 12.4-12.5 | Cross products, lines, planes | Quiz |
Sept. 14 | 12.6, 13.1 | Surfaces, vector functions | Quiz |
Sept. 16 | 13.2, 13.3 | Derivatives, integrals, arc length, curvature | Quiz |
Sept. 21 | 13.3, 13.4 | Arc length, curvature, velocity, acceleration | Quiz |
Sept. 23 | 12.1-13.4 | Review for Exam 1 | Quiz |
Sept. 28 | | | Exam 1 |
Sept. 30 | 14.1-14.2 | Functions, limits and continuity | |
Oct. 5 | 14.3, 14.4 | Partial derivatives, linear approximations | Quiz |
Oct. 7 | 14.5, 14.6 | Chain Rule, directional derivatives | Quiz |
Oct. 12 | 14.7, 14.8 | Maxima and minima, Lagrange multipliers | Quiz |
Oct. 14 | 14.1-14.8 | Review for Exam 2 | Quiz |
Oct. 19 | | | Exam 2 |
Oct. 21 | 15.1, 15.2 | Double integrals, Fubini's Theorem | |
Oct. 26 | 15.3, 15.4 | Other regions of integration | Quiz |
Oct. 28 | 15.5, 15.6 | Applications of double integrals | Quiz |
Nov. 2 | 15.7, 15.8 | Triple integrals | Quiz |
Nov. 4 | 15.9, 15.10 | Spherical coordinates, change of variables | Quiz |
Nov. 9 | CH. 15 | Review for Exam 3 | Quiz |
Nov. 11 | | | Exam 3 |
Nov. 16 | 16.1, 16.2 | Vector fields, line integration | |
Nov. 18 | 16.3, 16.4 | Line integrals, Green's Theorem | Quiz |
Nov. 23 | | | Thanksgiving break - no class |
Nov. 25 | | | Thanksgiving break - no class |
Nov. 30 | 16.5, 16.6 | Curl, divergence, parametric surfaces | Quiz |
Dec. 2 | 16.7, 16.8 | Surface integrals, Stoke's Theorem | Quiz |
Dec. 7 | 16.8, 16.9 | Stoke's and Divergence Theorems | Quiz |
Dec. 9 | CH. 16 | Review for final exam | Quiz |
Dec. 14 | | | Finals week - no class |
Dec. 16 | | FINAL EXAM | |