MATH300 Foundations of Advanced Mathematics

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Revision as of 14:35, 31 May 2012

Contents

Course Information

MATH300: Foundations of Advanced Mathematics - This course is an introduction to communication in mathematics as well computational tools for mathematics. This writing intensive course provides a transition from the Calculus sequence to the upper-division mathematics curriculum at CSM. Topics include logic and recursion, techniques of mathematical proofs, reading and writing proofs, mathematics software. Prerequisite: MATH 213, 223 or 224.

Instructor Information

Instructor : Terry Bridgman

Office : Stratton Hall 208

Office Phone : 303.384.2447

email : tbridgma@mines.edu

Course Calendar

Classes Begin : May 14th, 2012

Meeting Days : Monday, Tuesday, Thursday, Friday

Course Sections :

    Section A,  9:30am-12:20pm, Chauvenet Hall 143


Classes End : June 22nd, 2012

Important Dates :

   May 18th - Census Day 
   May 28th - Memorial Day - No Class 
   June 8th - Last Day to Withdrawal
   June22nd - Last Day of Classes

Office Hours

Fixed Office Hours :

 Wed : 1:30pm - 3:30pm

If you cannot meet during the previous office hours then please contact me to schedule another meeting time.

Textbook Information

 Textbook : Mathematical Reasoning - Ted Sundstrom, ISBN 0-13-187718-6

Course Materials

Pdf.png These downloads require Adobe Acrobat Reader

Syllabus

MATH300.Summer2012.Syllabus

Historical Mathematician

The following is a template for you to use with your research paper. The included sections are suggested -- feel free to rename as appropriate.

Paper Template .tex File

Your paper should include:

  • Title
  • Abstract
  • Sections on
    • Short bio
    • Mathematical Contributions
    • "Things that make you go 'huh!'"
  • Bibliography w/ at least 3 references (only 1 may be Wikipedia)

Mathematician Selection

Student Mathematician Student Mathematician
Rami A. Archimedes Allen L.
Evan B. Lagrange Alyssa M. Cantor
Kevin B. Leibniz Karen M. Erdas
Brian C. Grothendieck Nathan N. Godel
Alexander C. Lyapunov Ross P. Weierstrass
Andrew C. Lucas Q. Poincare
Logan D. Descartes Anastasia S. Cauchy
Sean D. Jacqueline S. Bernhard Riemann
Jordan D. Galois Beverly S. Newton
Zachary H. Joseph Betrand Brittany S. Bernoulii
Eric J. Frances S. Pythagoras
Emily K. Euler Marisse V.
Carson K. Nicole W. Gauss

Heine-Borel Theorem

MATH300.HeineBorel


Assignments

Assignment 1 (pdf)
 Due:  Friday, 5/18, 2:00pm


Assignment 2 (pdf)

Associated .tex File

 Due:  Thursday, 5/24, 2:00pm
Assignment 3 (pdf)
 Due:  Thursday, 5/24, 2:00pm


LaTeX Assignments

LaTeX 1 (pdf)
 Due:  Monday, 5/21, 2:00pm
LaTeX 2 (pdf)
 Due:  Tuesday, 5/29, 2:00pm

LaTeX Materials

Pdf.png These downloads require Adobe Acrobat Reader

Sample LaTeX File

Copy the following into an empty file within your LaTeX IDE. It should compile cleanly without errors or warnings The resulting pdf is included here:

sample.pdf


 \documentclass[12pt]{article}
 \usepackage{amsmath}
 \title{\LaTeX}
 \date{}
 \begin{document}
   \maketitle 
   \LaTeX{ } is a document preparation system for the \TeX{} 
   typesetting program. It offers programmable desktop publishing 
   features and extensive facilities for automating most aspects of 
   typesetting and desktop publishing, including numbering and 
   cross-referencing, tables and figures, page layout, bibliographies, 
   and much more. \LaTeX{} was originally written in 1984 by Leslie 
   Lamport and has become the dominant method for using \TeX; few 
   people write in plain \TeX{} anymore. The current version  is
   \LaTeXe.

   % This is a comment; it will not be shown in the final output.
   % The following shows a little of the typesetting power of LaTeX:
   \begin{align}
     E &= mc^2                              \\
     m &= \frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}
   \end{align}
 \end{document}

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