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Using Mathematica As a Teaching Tool in the Undergraduate Economics Curriculum
USING MATHEMATICA AS A TEACHING TOOL IN THE UNDERGRADUATE ECONOMICS CURRICULUM Gary Hodgin* Abstract In recent years, the quantitative skills required of economics students have increased significantly. Students often experience difficulty in making the transition from their mathematics courses to the use of mathematics in their economics courses. Symbolic computation programs are mathematical tools that can potentially smooth this transition. This paper illustrates a few ways in which one symbolic computation program, Mathematica, has been used in the undergraduate economics curriculum. I. Introduction The undergraduate curriculum in economics has become increasingly quantitative. An economics major typically includes college algebra, statistics, and some form of calculus in its degree requirements.1 In addition, mathematical economics and econometrics are now standard courses in many undergraduate programs. Moreover, this quantitative emphasis generally extends to other courses across the economics curriculum, particularly the intermediate theory and managerial economics courses. For example, approximately 90 percent of the intermediate microeconomics instructors included in von Allmen and Brower's survey (1998, 279) use calculus in their courses. Although one might question whether too much emphasis is placed on quantitative skills, there appears to be consensus among economics professors that mathematics is an important ingredient in undergraduate economic education. Over the past three years, I have used a symbolic computation program entitled Mathematica in two of my intermediate microeconomics and three of my managerial economics courses. My observations in these courses suggests that some students experience difficulty in making the transition from their courses in mathematics to their use of mathematics in economics. By smoothing this transition, symbolic computation programs can assist students in learning economics. -
Exploratory Programming for the Arts and Humanities
Exploratory Programming for the Arts and Humanities Exploratory Programming for the Arts and Humanities Second Edition Nick Montfort The MIT Press Cambridge, Massachusetts London, England © 2021 Nick Montfort The open access edition of this work was made possible by generous funding from the MIT Libraries. This work is subject to a Creative Commons CC-BY-NC-SA license. Subject to such license, all rights are reserved. This book was set in ITC Stone Serif Std and ITC Stone Sans Std by New Best-set Typesetters Ltd. Library of Congress Cataloging-in-Publication Data Names: Montfort, Nick, author. Title: Exploratory programming for the arts and humanities / Nick Montfort. Description: Second edition. | Cambridge, Massachusetts : The MIT Press, [2021] | Includes bibliographical references and index. | Summary: "Exploratory Programming for the Arts and Humanities offers a course on programming without prerequisites. It covers both the essentials of computing and the main areas in which computing applies to the arts and humanities"—Provided by publisher. Identifiers: LCCN 2019059151 | ISBN 9780262044608 (hardcover) Subjects: LCSH: Computer programming. | Digital humanities. Classification: LCC QA76.6 .M664 2021 | DDC 005.1—dc23 LC record available at https://lccn.loc.gov/2019059151 10 9 8 7 6 5 4 3 2 1 [Contents] [List of Figures] xv [Acknowledgments] xvii [1] Introduction 1 [1.1] 1 [1.2] Exploration versus Exploitation 4 [1.3] A Justification for Learning to Program? 6 [1.4] Creative Computing and Programming as Inquiry 7 [1.5] Programming Breakthroughs -
Sage Tutorial (Pdf)
Sage Tutorial Release 9.4 The Sage Development Team Aug 24, 2021 CONTENTS 1 Introduction 3 1.1 Installation................................................4 1.2 Ways to Use Sage.............................................4 1.3 Longterm Goals for Sage.........................................5 2 A Guided Tour 7 2.1 Assignment, Equality, and Arithmetic..................................7 2.2 Getting Help...............................................9 2.3 Functions, Indentation, and Counting.................................. 10 2.4 Basic Algebra and Calculus....................................... 14 2.5 Plotting.................................................. 20 2.6 Some Common Issues with Functions.................................. 23 2.7 Basic Rings................................................ 26 2.8 Linear Algebra.............................................. 28 2.9 Polynomials............................................... 32 2.10 Parents, Conversion and Coercion.................................... 36 2.11 Finite Groups, Abelian Groups...................................... 42 2.12 Number Theory............................................. 43 2.13 Some More Advanced Mathematics................................... 46 3 The Interactive Shell 55 3.1 Your Sage Session............................................ 55 3.2 Logging Input and Output........................................ 57 3.3 Paste Ignores Prompts.......................................... 58 3.4 Timing Commands............................................ 58 3.5 Other IPython -
Part I: Julia for Matlab Users
Julia Part I Julia for Matlab Users Prof. Matthew Roughan [email protected] http://www.maths.adelaide.edu.au/matthew.roughan/ UoA Oct 31, 2017 M.Roughan (UoA) Julia Part I Oct 31, 2017 1 / 33 I write to find out what I think about something. Neil Gaiman, The View From the Cheap Seats M.Roughan (UoA) Julia Part I Oct 31, 2017 2 / 33 Section 1 Get Started M.Roughan (UoA) Julia Part I Oct 31, 2017 3 / 33 The reason I feel like we can do this is because (I hope) you all know some Matlab, and Julia is syntactically and operationally very much like Matlab I syntax is very similar 1 I REPL is similar F tab completion, and up arrows work F ? = help F ; = shell escape to OS I JIT compiler I Use cases are similar 1REPL = Read-Evaluate-Print Loop; old-school name is the shell, or CLI. M.Roughan (UoA) Julia Part I Oct 31, 2017 4 / 33 So have a go You should have installed Julia before the workshop Start it up I start up varies depending on IDE, and OS I I am using simplest case (for me): the CLI, on a Mac I it’s all very Unix-y Type some calculations a = 3 b = a + 2 c = a + bˆ2 Create a script, e.g., “test.jl”, and “include” it include("test.jl") I its a little more cumbersome than Matlab M.Roughan (UoA) Julia Part I Oct 31, 2017 5 / 33 Section 2 Julia Isn’t Matlab (or Octave) M.Roughan (UoA) Julia Part I Oct 31, 2017 6 / 33 Julia may look a lot like Matlab but under the hood its very different and there are a lot of changes that affect you otherwise why would we bother? M.Roughan (UoA) Julia Part I Oct 31, 2017 7 / 33 Why Julia? Big -
Exploratory Data Science Using a Literate Programming Tool Mary Beth Kery1 Marissa Radensky2 Mahima Arya1 Bonnie E
The Story in the Notebook: Exploratory Data Science using a Literate Programming Tool Mary Beth Kery1 Marissa Radensky2 Mahima Arya1 Bonnie E. John3 Brad A. Myers1 1Human-Computer Interaction Institute 2Amherst College 3Bloomberg L. P. Carnegie Mellon University Amherst, MA New York City, NY Pittsburgh, PA [email protected] [email protected] mkery, mahimaa, bam @cs.cmu.edu ABSTRACT engineers, many of whom never receive formal training in Literate programming tools are used by millions of software engineering [30]. programmers today, and are intended to facilitate presenting data analyses in the form of a narrative. We interviewed 21 As even more technical novices engage with code and data data scientists to study coding behaviors in a literate manipulations, it is key to have end-user programming programming environment and how data scientists kept track tools that address barriers to doing effective data science. For of variants they explored. For participants who tried to keep instance, programming with data often requires heavy a detailed history of their experimentation, both informal and exploration with different ways to manipulate the data formal versioning attempts led to problems, such as reduced [14,23]. Currently even experts struggle to keep track of the notebook readability. During iteration, participants actively experimentation they do, leading to lost work, confusion curated their notebooks into narratives, although primarily over how a result was achieved, and difficulties effectively through cell structure rather than markdown explanations. ideating [11]. Literate programming has recently arisen as a Next, we surveyed 45 data scientists and asked them to promising direction to address some of these problems [17]. -
Your Notebook Is Not Crumby Enough, Replace It
Your notebook is not crumby enough, REPLace it Michael BrachmannB , William SpothB , Oliver KennedyB , Boris GlavicI , Heiko MuellerN, Sonia CasteloN, Carlos BautistaN, Juliana FreireN B: University at Buffalo I: Illinois Institute of Technology N: New York University {mrb24,wmspoth,okennedy}@buffalo.edu [email protected] {heiko.mueller, s.castelo, carlos.bautista, juliana.freire}@nyu.edu Figure 1: Overview of our system Vizier. The New York City Leading Causes of Death dataset was used. Vizier has four main views: (A) The Vizier Notebook View, (B) The Vizier Caveat View, (C) The Vizier Spreadsheet View and (D) The Vizier History View. ABSTRACT refine data pipelines. Vizier combines the flexibility of note- Notebook and spreadsheet systems are currently the de- books with the easy-to-use data manipulation interface of facto standard for data collection, preparation, and analysis. spreadsheets. Combined with advanced provenance track- However, these systems have been criticized for their lack of ing for both data and computational steps this enables re- reproducibility, versioning, and support for sharing. These producibility, versioning, and streamlined data exploration. shortcomings are particularly detrimental for data curation Unique to Vizier is that it exposes potential issues with data, where data scientists iteratively build workflows to clean up no matter whether they already exist in the input or are in- and integrate data as a prerequisite for analysis. We present troduced by the operations of a notebook. We refer to such Vizier, an open-source tool that helps analysts to build and potential errors as data caveats. Caveats are propagated alongside data using principled techniques from uncertain data management. -
SDSU Sage Tutorial Documentation Release 1.2
SDSU Sage Tutorial Documentation Release 1.2 Michael O’Sullivan, David Monarres, Matteo Polimeno Jan 25, 2019 CONTENTS 1 About this tutorial 3 1.1 Introduction...............................................3 1.2 Getting Started..............................................3 1.3 Contributing to the tutorial........................................ 11 2 SageMath as a Calculator 13 2.1 Arithmetic and Functions........................................ 13 2.2 Solving Equations and Inequalities................................... 19 2.3 Calculus................................................. 21 2.4 Statistics................................................. 26 2.5 Plotting.................................................. 27 3 Programming in SageMath 39 3.1 SageMath Objects............................................ 39 3.2 Programming Tools........................................... 54 3.3 Packages within SageMath........................................ 61 3.4 Interactive Demonstrations in the Notebook............................... 66 4 Mathematical Structures 73 4.1 Integers and Modular Arithmetic.................................... 73 4.2 Groups.................................................. 78 4.3 Linear Algebra.............................................. 88 4.4 Rings................................................... 98 4.5 Fields................................................... 109 4.6 Coding Theory.............................................. 114 Bibliography 123 Index 125 i ii SDSU Sage Tutorial Documentation, Release 1.2 Contents: -
Mathematica Solutions to the Chemical Engineering Problem Set1
MATHEMATICA SOLUTIONS TO THE CHEMICAL ENGINEERING PROBLEM SET1 H. Eric Nuttall Department of Chemical/Nuclear Engineering Farris Engineering Center, Rm 209 University of New Mexico Albuquerque, New Mexico 87131-1341 INTRODUCTION These solutions are for a set of numerical problems in chemical engineering. Professor Michael B. Cutlip of the University of Connecticut developed the problems and Professor Mordechai Shacham of Ben-Gurion University of the Negev for the ASEE Chemical Engineering Summer School held in Snowbird, Utah in August, 1997. The problem statements are provided in another document.1 Professors Cutlip and Shacham provided a document that showed how to solve the problems using POLYMATH. Professor H. Eric Nuttall of the University of New Mexico provided solutions using Mathematica and Professor J. J. Hwalek provided solutions using Mathcad. After the conference, Professor Ross Taylor provided solutions in Maple, and Edward Rosen provided solution in EXCEL. This paper gives the solutions in MATHEMATICA version 3.0. All documents and solutions are available from http://www.che.utexas.edu/cache/ and via FTP from ftp.engr.uconn.edu/pub/ASEE. The written materials are only readable in Adobe Acrobat 3.0 format and higher; however, this software is free via the Internet from www.adobe.com. The MATHEMATICA solutions were derived using version 3.0. This version of MATHEMATICA is the same on all platforms; hence, the notebooks should work the same for all users independent of computer model. MATHEMATICA is a very extensive and comprehensive computational tool; hence, there are several possible approaches and various routines in MATHEMATICA available for solving each of the ten problems. -
Java Makes Scripting Languages Irrelevant?
tools of the trade Editor: Diomidis Spinellis ■ Athens University of Economics and Business ■ [email protected] Java Makes Scripting Languages Irrelevant? Diomidis Spinellis Simplicity does not precede complexity, but follows it. — Alan J. Perlis n computing, we often solve a complex came up with Application Basic as its general- problem by adding another level of indi- purpose scripting language for all its office pro- rection. For example, in Unix file systems, ductivity applications. an index node, or inode, data structure lets Those early developments acquainted pro- I the operating system allocate files concur- grammers with the notion of customizing ap- rently and sparsely while still providing an plications through scripting and opened the efficient random-access capability. When we road for powerful, general-purpose scripting want to customize large, complex systems or languages such as Perl, Python, and Ruby (see express fluid, rapidly changing John Ousterhout’s article, “Scripting: Higher- requirements, we frequently Level Programming for the 21st Century,” in add a scripting layer on top of Computer’s March 1998 issue). Scripting lan- the corresponding system. Back guages glued to applications serve an impor- in 1962 to 1963, Dan Murphy tant purpose: they greatly ease the application’s did this when he developed his configuration and customization and support TECO (text editor and correc- end-user programming by offering a safe and tor) editor on the Digital Equip- friendly development environment. Gone are ment Corp.’s PDP-1; its com- the intricacies of C’s memory management, the mand language also doubled as convoluted string manipulation, and the com- an arcane (to put it politely) plexity of the application’s internal data struc- macro language. -
Data-Driven Tool Construction in Exploratory Programming Environments
Data-driven Tool Construction in Exploratory Programming Environments by Marcel Taeumel A thesis submitted to the Digital Engineering Faculty University of Potsdam in partial fulfllment of the requirements for the degree of Doctor Rerum Naturalium (Dr. rer. nat.) Advisor Prof. Dr. Robert Hirschfeld Software Architecture Group Hasso Plattner Institute University of Potsdam, Germany February 2, 2020 This work is licensed under a Creative Commons License: Attribution – NonCommercial – NoDerivatives 4.0 International. This does not apply to quoted content from other authors. To view a copy of this license visit https://creativecommons.org/licenses/by-nc-nd/4.0/ Published online at the Institutional Repository of the University of Potsdam: https://doi.org/10.25932/publishup-44428 https://nbn-resolving.org/urn:nbn:de:kobv:517-opus4-444289 Abstract This work presents a new design for programming environments that promote the exploration of domain-specifc software artifacts and the construction of graphical tools for such program comprehension tasks. In complex software projects, tool building is essential because domain- or task-specifc tools can support decision making by representing concerns concisely with low cognitive efort. In contrast, generic tools can only support anticipated scenarios, which usually align with programming language concepts or well-known project domains. However, the creation and modifcation of interactive tools is expensive because the glue that connects data to graphics is hard to fnd, change, and test. Even if valuable data is available in a common format and even if promising visualizations could be populated, programmers have to invest many resources to make changes in the programming environment. -
Toward Collaborative Open Data Science in Metabolomics Using Jupyter Notebooks and Cloud Computing
Edith Cowan University Research Online ECU Publications Post 2013 2019 Toward collaborative open data science in metabolomics using Jupyter Notebooks and cloud computing Kevin M. Mendez Edith Cowan University Leighton Pritchard Stacey N. Reinke Edith Cowan University David I. Broadhurst Edith Cowan University Follow this and additional works at: https://ro.ecu.edu.au/ecuworkspost2013 Part of the Life Sciences Commons, and the Physical Sciences and Mathematics Commons 10.1007/s11306-019-1588-0 Mendez, K. M., Pritchard, L., Reinke, S. N., & Broadhurst, D. I. (2019). Toward collaborative open data science in metabolomics using Jupyter Notebooks and cloud computing. Metabolomics, 15(10), 125. Available here. This Journal Article is posted at Research Online. https://ro.ecu.edu.au/ecuworkspost2013/6801 Metabolomics (2019) 15:125 https://doi.org/10.1007/s11306-019-1588-0 REVIEW ARTICLE Toward collaborative open data science in metabolomics using Jupyter Notebooks and cloud computing Kevin M. Mendez1 · Leighton Pritchard2 · Stacey N. Reinke1 · David I. Broadhurst1 Received: 30 May 2019 / Accepted: 7 September 2019 / Published online: 14 September 2019 © The Author(s) 2019 Abstract Background A lack of transparency and reporting standards in the scientifc community has led to increasing and widespread concerns relating to reproduction and integrity of results. As an omics science, which generates vast amounts of data and relies heavily on data science for deriving biological meaning, metabolomics is highly vulnerable to irreproducibility. The metabolomics community has made substantial eforts to align with FAIR data standards by promoting open data formats, data repositories, online spectral libraries, and metabolite databases. Open data analysis platforms also exist; however, they tend to be infexible and rely on the user to adequately report their methods and results. -
A Notebook-Like Graphical Terminal Interface for Collaboration and Inline Data Visualization
86 PROC. OF THE 12th PYTHON IN SCIENCE CONF. (SCIPY 2013) GraphTerm: A notebook-like graphical terminal interface for collaboration and inline data visualization Ramalingam Saravanan‡∗ http://www.youtube.com/watch?v=nO0ceHmTlDQ F Abstract—The notebook interface, which blends text and graphics, has been much more difficult to perform advanced tasks using the GUI as in use for a number of years in commercial mathematical software and is now compared to using the CLI. Using a GUI is analogous to using finding more widespread usage in scientific Python with the availability browser- a phrase book to express yourself in a foreign language, whereas based front-ends like the Sage and IPython notebooks. This paper describes using a CLI is like learning words to form new phrases in the a new open-source Python project, GraphTerm, that takes a slightly different foreign language. The former is more convenient for first-time and approach to blending text and graphics to create a notebook-like interface. casual users, whereas the latter provides the versatility required by Rather than operating at the application level, it works at the unix shell level by extending the command line interface to incorporate elements of the graphical more advanced users. user interface. The XTerm terminal escape sequences are augmented to allow The dichotomy between the textual and graphical modes of any program to interactively display inline graphics (or other HTML content) interaction also extends to scientific data analysis tools. Tradi- simply by writing to standard output. tionally, commands for data analysis were typed into a terminal GraphTerm is designed to be a drop-in replacement for the standard unix window with an interactive shell and the graphical output was terminal, with additional features for multiplexing sessions and easy deployment displayed in a separate window.