Monday, January 30, 2017

lecture 4: vector arithmetic, dot product

We'll do a little vector arithmetic using basis vectors (11.1, 11.2) and, also, look at some applications of the dot product (11.3). This video shows how to use vector triangles to locate the centroid of a triangle.

Wednesday, January 25, 2017

lecture 2: vector arithmetic in $\mathbb{R}^2$ and $\mathbb{R}^3$

We'll finish Monday's discussion by looking at simple surfaces (planes, cylinders and spheres) in $\mathbb{R}^3$. Then we will move on to vectors and vector arithmetic in sections 11.1 and 11.2. Basic quantities such as position, velocity, acceleration, and force are represented by vectors. We will add vectors and also scale vectors. We'll talk about basis vectors and see how to express a general vector in terms of the basis vectors.

Monday, January 23, 2017

no discussion sections this week

Due to bad weather, the discussion sections will not meet this week (January 23-27).

lecture 1: points, curves and surfaces

We'll talk about some common objects (points, curves and surfaces) and the spaces ($\mathbb{R}$, $\mathbb{R}^2$, and $\mathbb{R}^3$) they live in. Our goal is to figure out how many Cartesian equations are required to describe the different objects in the different spaces. Also, we'll talk about how to measure distances between pairs of points in the various spaces.

Believe it or not, this stuff will be useful throughout the semester. 

Sunday, January 22, 2017

office hours

Office hours are an important part of the course; if you are not using them you are not fully participating in the course.

My official office hours are M, W, and F from 3:10 - 5:00 pm, or by appointment. I'll post office hours for the discussion leaders (Bang and Andrew) as soon as possible. Keep checking the link at the top of this page.

the etext is full of examples and problems ...

if you can find it. To make your way from the WyoCourses course page to the HTML version of the textbook, look for these links:
  1. MyLab and Mastering
  2. MyMathLab with Pearson eText Course Home
  3. Course Tools
  4. HTML eBook
  5. alternate version of your eBook
  6. HTML version of your textbook
Shame on you Pearson, shame on you!

text

We use the textbook Multivariable Calculus by Briggs, Cochran, and Gillett (2nd Edition, ISBN 978-0-321-96516-5). Don't freak out, the chapters in this book might be included in the text you used for Calculus I and II. If not, you can access the electronic version of the book through MyMathLab.

The textbook (either ebook or paper) is an integral part of the course. If you are not using it you are missing out on a large number of worked examples that will help you solve homework problems. Some of these examples may appear on the exam.

mymathlab

You can reach MyMathLab through WyoCourses. And, there is a permanent link to MyMathLab in the list of links on the right side of this page.

If you paid for access to MyMathLab in Math 2200 or 2205 you will not have to pay for access this semester. If you haven't paid for access, don't worry; you can signup for temporary access and then purchase a license when the trial period ends.

If you see an error message when you click on MyLab and Mastering, try enabling popup windows in your browser.

a shiny new semester

This course is all about differentiating and integrating functions of two and three variables. Along the way, we'll play with a variety of curves and surfaces that live in three dimensional space. We'll figure out how to compute slopes on these objects and, eventually, how to integrate vector and scalar functions over the objects. In the final weeks of the semester we'll work with generalizations of the fundamental theorem of calculus that tie together different types of integrals. It is a fascinating and useful combination of geometry and calculus that never fails to excite me.