Lecture Slides 2 - AMS 210 Applied Linear Algebra Fall 2009...

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AMS 210: Applied Linear Algebra Fall 2009 Lecture 2 (September 3, 2009) AMS 210
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Matrices, for those who have been wondering ... ... will be coming in chapter 2 ... AMS 210
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... and to some degree during this lecture ... ... because they’re so useful the text can’t manage to avoid them even though it hasn’t otherwise introduced them. AMS 210
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Summary of Previous Lecture Mathematical models formalize behaviours of systems such that one can predict and understand them. Linear models are a form of mathematical model which consists of a linear system. Such models find ready application to empirical, quantitative pursuits, where they can illuminate the complex interactions that occur. AMS 210
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Contact Information Dustin Brody Websites: Blackboard & http://www.ams.sunysb.edu/ undergraduate/undergrad/AMS210Webpage.html Email: [email protected] Text: A Unified Introduction to Linear Algebra, Alan Tucker AMS 210
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Topics Today Calculator and Computer Software Problem Set Markov Chains Dynamic Models AMS 210
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Linear Algebra Software Calculators: TI-83, TI-84, TI-86, TI-89, HP-48, HP-49, HP-50 Computer software: Mathematica, MATLAB, Maple, Maxima Any of those suffices for this course. AMS 210
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Linear Algebra on Calculators Any popular graphing calculator can do the linear algebra present in this course. Two distinct feature-clusters of calculators exist: the numerically-oriented TI-83, TI-84, and TI-86; and the symbolically capable TI-89 and all HP graphing calculators. Latter group has no systematic deficiencies pertaining to course content. Former group does. AMS 210
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Linear Algebra on Numerically-Oriented Calculators Numerically oriented calculators can perform all relevant computations, but are limited in their ability to manipulate symbolic expressions, including matrices. Problematic for chapter 1, but since chapter 2 and forward primarily use matrices which tend to factor out model inputs from the model, representing the models purely numerically will prove less of an issue. See http://www.math.umbc.edu/ ~ campbell/ Calculators/TI8x/linalg.html for more detail on how do linear algebra on the TI-83/84/86 series of calculators. AMS 210
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Linear Algebra on Computers Similar dichotomy as with calculators exists between numerically-oriented and symbolically-oriented software, but full-scale computer software of either sort tends to be stronger both numerically and symbolically than calculator software.
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