Maple for Math Majors
Roger Kraft Department of Mathematics, Computer Science, and Statistics Purdue University Calumet roger@calumet.purdue.edu
1. Maple Basics
This worksheet helps you get started using Maple and its user interface. It also introduces yo
Maple for Math Majors
Roger Kraft Department of Mathematics, Computer Science, and Statistics Purdue University Calumet roger@purduecal.edu
2. Variables, Assignment, and Equations 2.1. Introduction
In this worksheet we look at how Maple treats variables a
Maple for Math Majors
Roger Kraft Department of Mathematics, Computer Science, and Statistics Purdue University Calumet roger@calumet.purdue.edu
3. Solving Equations 3.1. Introduction
Two of Maple's most useful commands are solve, which solves equations s
Getting Started with Maple
Warren Weckesser Note: This handout is actually a "Maple Session"; everything in here was created in Maple. The actual Maple commands that I entered are shown in the lines preceded by the ">"; these lines are immediately followe
Plotting Surfaces
Warren Weckesser Plotting the graph of a function of two variables. Let's plot the graph of f(x,y) = x^2-y^2. To do this, we'll use the plot3d command. In its most basic form, the plot3d command takes three arguments. The first is the ex
Contour Plots
Warren Weckesser This Maple session gives some examples of creating contour plots. First, load the "plots" library: > with(plots): Define an expression to hold f(x,y). We'll do a contour plot for f(x,y) = x^2+2*y^2. > f := x^2 + 2*y^2; f :=
Fractals using iterated function systems, with affine transformations ACCESS July 2001
> restart:#fractals use a lot of memory > Digits:=4: #number of significant digits - this will #make computations go faster without sacrificing #visual accuracy - becau
ACCESS July 2001
bush fractal
An example from the book "Fractals - Endlessly repeated geometric figures", by Hans Lauwerier, page 95. > restart: with(plots):
Warning, the name changecoords has been redefined
> Digits:=4: > > AFFINE1:=proc(X,a,b,c,d,e,f) R
ACCESS July 2001
crystal/forest fractal
An example from the book "Fractals - Endlessly repeated geometric figures", by Hans Lauwerier, page 94. > restart: > Digits:=4: > with(plots):
Warning, the name changecoords has been redefined
> > AFFINE1:=proc(X,a,
ACCESS - July 2001 Twig example with test procedure
In order to make the twig from yesterday's notes, as well as more complicated examples, it is nice to have a test procedure to make sure you have picked your affine maps correctly (and to help you adjust
Mth 355 Midterm
Bent Petersen 355w2003_midterm.tex
Name:
Feb 26, 2003
ID:
Time: 110 minutes.
You may use one 8.5 11 inch sheet of notes. You may use a calculator. (20 points). Consider an m n rectangular grid. How many routes are there from the lower left
Mth 355 Midterm
Bent Petersen
Name:
Feb 26, 2003
ID:
Time: 110 minutes.
355w2003_midterm_sample.tex
You may use one 8.5 11 inch sheet of notes. You may use a calculator.
Problem 1.
(20 points).
How many strings are there of length 12 consisting of 3 A's,
MLC Lab Visit - Lab 06 - Maple
Mth 355 (a.k.a. Mth 399) Feb 12, 2003 Maple 7
Bent E. Petersen petersen@math.orst.edu
There are 3 problems below. Problem solutions are due Feb 19, 2003. Email your solutions to me as Maple worksheet attachments. Your worksh
MLC Lab Visit - Lab 04 - Maple
Mth 355 (a.k.a. Mth 399) Jan 29, 2003 Maple 7
Bent E. Petersen bent@alum.mit.edu petersen@math.orst.edu
There are 6 problems below. Problem solutions are due Feb 5, 2003. Email your solutions to me as Maple worksheet attachm
MLC Lab Visit - Lab 03 - Maple
Mth 355 (a.k.a. Mth 399) Jan 22, 2003 Maple 7
Bent E. Petersen
There are 4 problems below. Problem solutions are due Jan 29, 2003. Email your solutions to me as Maple worksheet attachments. Your worksheet must execute correc
Inhomogeneous Linear Recurrence Equations: Method of Undetermined Coefficients
Date: Nov 13, 2001 Last Revision: Nov 15, 2001 Bent E. Petersen bent@alum.mit.edu petersen@math.orst.edu
Course: Mth 355 (a.k.a. Mth 399) Term: Fall 2001 File name: 355f2001_in
Linear Recurrence Relations in Maple
Date: Nov 7, 2001 Last Revision: Nov 15, 2001 Maple 6 Bent E. Petersen bent@alum.mit.edu petersen@math.orst.edu Course: Mth 355 (a.k.a. Mth 399) Term: Fall 2001 File name: 355f2001_recur.mws Assignment 6 (problems at e
M TH 355 N OTES :
cells n, dist objects m, dist
Oct 18, 2001
specification Place all objects in the cells. Some cells may be empty. Place exactly one object in each cell. Assume we have an unlimited number of each type. mk objects in k th cell, k = 1 , n.
Set Theory - An Introduction to Maple
Mth 355/399 Sept 28 2001 Maple 6
Bent E. Petersen Filename: 355f2001_set_theory.mws
The Worksheet
When you are using Maple in a windowing environment it is possible to move around on the worksheet by left-clicking the
Maple Treasure Hunt
(a) What is the first nonzero digit after the decimal point in
evalf(2^(1/2010); 1.000344909
?
(1)
The answer is 3.
(b) What is the 2010th digit after the decimal point in
You need to use 2011 digits, since one is before the decimal po