﻿ MAT 238, Professor Swift

# MAT 238, Calculus III

## Prof. Swift, Spring 2018

Schedule     WeBWorK     Group Work     Exams

Text: Calculus Early Transcendentals, 3rd Edition, by Rogawski and Adams
You can consult Paul Dawkins' Notes

Instructor information, including contact information. My office hours are Mon 12:30-1:00, Wed 12:00-1:00, Fri 11:30-3:00. I will be in AMB 110 (my office) or AMB 137 (the MAP room).

pdf of the Syllabus. Here are the math department policies and the university policies that are technically part of the syllabus.

Here is an Introduction to WeBWorK. You probably won't need this if you have used WeBWorK in a previous class.
NOTE: You login name is your LOUIE account (e.g. jws8). Your password is same one you always use with this login name.

Lecture supplements, in reverse chronological order

Wednesday, May 2: Mathematica Notebook for doing the integral in Set 17.3, Problem 3.

Wednesday, April 25: Plausibility argument for Green's Theorem: page 1, page 2, page 3.

Tuesday, April 24: Parametrization of a cylinder using DPGraph. Here's the surface from problem 14, with z = 36 - (x^2 + y^2), above the disk of radius 6 in the z = 0 plane.

Monday, April 16: Plot of Magnetic Field from current in a wire along the z-axis using DPGraph.

Friday, April 13: Mathematica notebook on divergence and "curl" of 2-dimensional linear vector fields F(x,y) = (ax + by, cx + dy).
Picture of a vortex behind an airplane wing.

Wednesday, April 11: Plot a 2-dimensional vector field with DPGraph or Mathematica. You can also search the web for programs. Note that the DPGraph file does not scale the vectors. Most other vector field plotters scale the vectors.

Monday, April 9: Mathematica notebook ChangeOfVariables.nb.

Friday, March 2: Here are pictures of the "proof" that mixed partial derivatives are equal I did in class a while ago: page 1 and page 2.
I finished problem 4 in set 14.6 after class ended and took these pictures of the solution: part 1 and part 2. This uses the notation for derivatives and the chain rule found in the notes on multi-variable calculus I put in our BbLearn shell.

Wednesday, Feb. 28: Mathematica Notebooks showing graph, contour plot and gradient vector field of functions of 2 variables: A simple notebook from class, and a more fancy notebook, gradientsExtended.nb.

Wednesday, Feb. 21: DPGraph figures showing f(x,y) = x*y/(x2 + y2) has no limit at (0, 0) and g(x,y) = x*y/sqrt(x2 + y2) → 0 as (0,0) → (0,0). The squeeze theorem proves this since -sqrt(x2 + y2) ≤ g(x,y) ≤ sqrt(x2 + y2) for all (x, y) ≠ (0,0) and ± sqrt(x2 + y2) → 0 as (x, y) → (0, 0).

Monday, Feb. 19: This Mathematica notebook shows the level surface in Set 14.1, problem 12. You can see this on a computer in the Math building, or any computer with Mathematica. See this site about Mathematica at NAU. You can get Mathematica for your own computer!

Friday, Feb. 16: I used this mathematica notebook, quadraticSurfaces.nb to draw the figures for problem 4. In problem 5, many people had difficulty finding theta, so I wrote this algorithm.

Friday, Feb. 9: My office hours end early today. They are 11:30 - 12:30.
Here are two ways to graph 3D curves on the computer. They may help with Problem 7 in set 13.2. They plot a helix with Mahtematica: helix.nb, helix2.nb and DPGraph:helix.dpg and helixAndTangentLine.dpg.
Here are some DPGraphs of the trefoil knot: trefoil.dpg, trefoilTube.dpg, trefoilAndTorus.dpg, trefoilAndTorusTube.dpg

Friday, Feb. 2: My office hours end early today. They are 11:30 - 1:00.
You might want to go to my web page about the DPGraph program. It is an awesome program for 3D visualization, but it only works for windows machines (or emulators). Extra Credit Opportunity! Install DP Graph on your laptop. Worth 4 class points if you have a windows machine and 10 points if you have a Mac. To claim your points, show me your laptop running DPGraph.

Section 12.1: The answer to my version of WeBWorK problem 10 in set 12.1 is x = 1 a + 1.7 b. (So I type 1 and 1.7 into the two blanks.) This figure shows the vectors. Here is a Mathemetica notebook to allow arbitrary linear combinations of a and b.

This is a great webcast introducing you to Mathematica.

You can get extra credit for our course from points earned in the Problem of the Week. You can get up to 3 class points per week. I will multiply you points on the ladder by 0.3 to get extra credit.
FAMUS (Friday Afternoon Undergraduate Math Seminar): Fridays at 3 pm in AMB 164.
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Instructor Information     Jim Swift's home page     Department of Mathematics and Statistics     BbLearn     NAU Louie     NAU Home Page
e-mail: Jim.Swift@nau.edu