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Math 2110 - Fall 2016

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 SectionsTopicsNotes
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