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.
Worksheets will be provided most classes to be worked on in groups.
Exams and Class Grade:
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:
|Exam 1: (Week 6 – Friday, February 26th)||In class||125|
|Exam 2: (Week 12 – Friday, April 8th)||In class||125|
Course Outline/Tentative Schedule:
|1||12.1||3-D Coordinate Systems|
|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|
|14.5||The Chain Rule|
|14.6||Directional Derivatives and the Gradient Vector|
|14.7||Max and Min Values|
|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|
|15.7||Triple Integrals in Cylindrical Coordinates|
|15.8||Triple Integrals in Spherical Coordinates|
|15.9||Change of Variables|
|Review and Exam II|
|16.3||The Fundamental Theorem for Line Integrals|
|16.5||Curl and Divergence|
|Review and Final Exam|
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