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Math 2110 - Fall 2015


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 SectionsTopicsNotes
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