MATH 2110Q – Multivariable Calculus – Summer 2016

This page contains specific information for Section 20 of MATH 2110Q – Multivariable Calculus. Below you can find the formal course description, information about the instructor, enrollment, the book, homework and quizzes, exams, and policies.

Course Description: MATH 2110Q, Multivariable Calculus

Description: Two- and three-dimensional vector algebra, calculus of functions of several variables, vector differential calculus, line and surface integrals.

Prerequisites: MATH 1132Q, or a score of 4 or 5 on the Advanced Placement Calculus BC exam.

About the Book and Other Resources:

The text for this course is Multivariable Calculus (7th Edition) bundled with WebAssign by James Stewart. The WebAssign access code is required for this course! You can obtain the textbook and access code by purchasing the textbook bundled with the WebAssign access code from the bookstore or purchasing a code online when you access your homework via HuskyCT. The access code includes an online version of the text. Note that buying the unbundled version of the book (that is, the text without the WebAssign code) and the WebAssign code separately may (and usually does) cost more than buying the bundled version of the text.

  • Here is a great source for 3-D models and visualizations of many of the key concepts, made by David Nichols.
  • Here is a nice tool for plotting 3-D curves and seeing tangent vectors
  • Geogebra is also very useful for all things 3-D.  Here is a link to my Geogebra profile where you can see the examples we have gone through in class.
  • Here is a nice tool for plotting 3D vector fields.

Homework, Quizzes, Worksheets:

Homework will be assigned frequently through WebAssign which can be accessed through HuskyCT and will be due throughout the week.  I cannot emphasize enough how important regularly completing the homework will be, even more so given the accelerated pace due to this being a summer course.

Quizzes will be given freqeuntly in class.  They will consist of 2-3 problems from the previous sections.  We will go over the answers together as a class soon afterwards.

Quiz1     Quiz2     Quiz3     Quiz4     Quiz5

Worksheets will be provided most classes to be worked on in groups.

Sec 12.1-12.3 Worksheet solutions

Sec 12.4 Worksheet solutions

Sec 12.5 Worksheet solutions

Sec 12.6-13.1 Worksheet solutions

Sec 13.2-13.3 Worksheet solutions

Sec 14.1-14.2 Worksheet solutions

Sec 14.3 Worksheet solutions

Sec 14.4-14.5 Worksheet solutions

Sec 14.6 Worksheet solutions

Sec 14.7 Worksheet solutions

Sec 14.8 Worksheet solutions

Sec 15.1-15.2 Worksheet solutions

Sec 15.3 Worksheet solutions

Sec 15.6 Worksheet

Sec 15.7 Worksheet solutions

Sec 15.8 Worksheet solutions

Sec 15.9 Worksheet solutions

Sec 16.1 Worksheet solutions

Sec 16.2 Worksheet solutions

Sec 16.3 Worksheet solutions

Sec 16.4 Worksheet


Exams and Class Grade:

Exam 1 Solutions

Exam 2 Solutions


There will be two in-class midterms and a final exam. Each midterm will cover about 2 weeks of material, while the final will be cumulative. The total grade will be computed as follows:

Homework 100
Quizzes/Worksheets 100
Exam 1: (Week 6 – Friday, February 26th) In class 125
Exam 2: (Week 12 – Friday, April 8th) In class 125
Final Exam: TBA 175

Course Outline/Tentative Schedule:

Week Chapter Topic
1 12.1 3-D Coordinate Systems
12.2 Vectors
12.3 The Dot Product
12.4 The Cross Product
12.5 Equations of Lines and Planes
12.6 Cylinders and Quadric Surfaces
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature
2 14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes
14.5 The Chain Rule
 14.6 Directional Derivatives and the Gradient Vector
14.7 Max and Min Values
14.8 Lagrange Multipliers
Review and Exam I
3 15.1 Double Integrals over Rectangles
15.2 Double Integrals over General Regions
15.3 Double Integrals over Polar Coordinates
15.4 Applications of Double Integralls
4 15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables
Review and Exam II
5 16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem for Line Integrals
16.4 Green’s Theorem
16.5 Curl and Divergence
Review and Final Exam

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  • Attendance — Your instructor expects you to attend class regularly. Besides being nearly essential for developing your understanding of the material, your regular attendance in class is good for the morale of the class and is indicative of your interest in the subject and your engagement in the course. You are responsible for the material discussed in class and in the assigned reading in the text.
  • Student Conduct Code — Students are expected to conduct themselves in accordance with UConn’s Student Conduct Code.
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