MATH-300 Foundations of Advanced Mathematics

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Course Information

MATH 300: 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, techniques of mathematical proofs, reading and writing proofs, mathematics software.

Prerequisite: MATH 213, 223 or 224, and MATH 300 or consent of instructor. 2 hours lecture, 1 hour seminar, 1 hours lab; 4 semester hours..

Instructor Information

Instructor : Terry Bridgman

Office : Chauvenet Hall 279

Office Phone : 303.384.2447

email : tbridgma@mines.edu


Course Calender

Classes Begin : May 11th, 2009

Meeting Days : Monday - Thursday

Meeting Time : 9:00am - 11:50am

Meeting Location : Chauvenet Hall 143

Class Holidays :

    Monday, May 25th, 2009 - Memorial Day

Classes End : June 18th, 2009

Office Hours

Fixed Office Hours :

    Monday - Thursday --- 12:00pm - 1:00pm.

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

Textbook Information

    Textbook : Mathematical Reasoning - Writing and Proof - Ted Sundstrom, ISBN 0-13-187718-6
Pdf.png These downloads require Adobe Acrobat Reader

Course Documents

Handouts

Latex Example 1 (pdf file)
Latex Example 2 (pdf file)

Syllabus

Course Syllabus

LaTeX Resources

Course Templates

Historical Paper Template

Homework Template

User Guides/Tutorials

LaTeX project site

Online Tutorial (courtesy of Indian TeX Users Group)

User Guide to the Beamer class

Development Environments

MiKTeX Project Page

TeXnicCenter (Windows based IDE for LaTeX authoring)

TeXShop (MAC-OS based TeX authoring software)

Kile - An Integrated LaTeX Environment

Assignments

    Assignment 1:  Replicate the given LaTeX file
LaTeX Assignment 1

Assignment 1 Solutions

    Assignment 2:  3.1: 12, 13, 15;  3.2: 18; 3.3: 5, 21
Assignment 2 Solutions
    Assignment 3:  1. Prove for positive real number x and y, if x < y  then x^2 < y^2.
    Section 4.5, #12c; Section 5.1, #16; Section 5.2, #7
    Also, modify your homework LaTeX template in the following manner:
     - reduce the font to 10pt
     - change your documentclass to letterpaper
     - all margins should be 0.5in
     - page numbering to little letter, roman numerals
    Assignment 4: 1. Duplicate the pdf file given below. Do not worry about matching
    font size or margins, but rather match content.
    Section 5.2, #12;  Section 6.3, #20;  Section 6.4, #6
File to Duplicate

Exams

    Exam 1:  Due Thursday, 5/28, 7:00pm
Exam 1 (pdf file)
Exam 1 Solutions (pdf file)
    Exam 2:  Due Thursday, 6/11, 3:00pm
Exam 2 (pdf file)
Exam 2 Solutions (pdf file)
    Final:  Due Thursday, 6/18, 5:00pm
Final Exam (pdf file)

Course Links

Course Homepage

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