MACM 204: Computing with Calculus
Fall 2016
Lecture: Tuesdays 3:30pm in AQ 5018
Lab D101: Wednesdays 2:30pm AQ 3148.1
Lab D103: Wednesdays 3:30pm AQ 3148.1
Content
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The course teaches you how to use mathematical software (we will use Maple)
to explore calculus and study mathematical models. We will use Maple for
calculus in one variable and two variables, and for graphing functions, curves
and surfaces. We will learn how to model physical systems with differential
equations and use Maple to solve them and visualize their solutions.
The course will also strengthen your programming skills. We will write
a lot of simple programs involving loops, functions, arrays, lists and sets.
Software
We will use Maple extensively for calculations and programming in this course. The university has a site license. Maple is installed on the PCs and MACs in the assignment lab, university open labs and the library. You may purchase Maple 2016 for Students for $75 + taxes from Maplesoft using the course promotion code.
The following file will below help you get started. It shows you how to use Maple to do calculus. It is a Maple worksheet (.mws file) which you can open in Maple: Getting Started with Maple. After you've opened it you need to execute the commands by pressing the enter key. The worksheet is also available as an Adobe Acrobat (.pdf) file so you can look at it from your browser.
This file help you program in Maple: Maple Programming (.mw). It shows you how to write loops and write Maple procedures. The worksheet is also available as an Adobe Acrobat (.pdf) file.
Maple Worksheets and Class Notes
I will put various Maple worksheets here as we go through the course. Some will be from the lectures, some from the labs, and some with additional examples for help with assignments.
Least Squares class notes from Tuesday October 18th: Lecture notes (.pdf)
Linear Algebra examples from Tuesday October 18th: Worksheet (.pdf)
Least squares approximation from Tuesday October 18th: Worksheet (.pdf)
Lead accumulation in the bones model from Wednesday November 9th: Lead.pdf Lead.mw
House heating model from Wednesday November 9th: House.pdf House.mw
Lotka Votera model from Wednesday November 16th: Lotka.pdf Lotka.mw
Course Outline
Maple and single variable calculus (2 weeks)
Programming in Maple and Maple library packages (4 weeks)
Multivariate calculus (3 weeks)
Differential equations and modelling (4 weeks)