Professional Interests
topology
mathematics education
Twin Cities Math Teachers' Circle
Education
B.A. St. Olaf College
M.S., Ph.D. University of Minnesota
Recent Publications
The Mathematics of Helaman Ferguson's Four Canoes" by Loe and Borovsky in Mathematics Magazine vol. 81, #3, June 2008.
Brunnian links: http://knotplot.com/brunnian/
COMAP: http://www.comap.com/
Conway's Game of Life: http://www.ibiblio.org/lifepatterns/
Geometry and Topology: http://www.msp.warwick.ac.uk/gt/2007/11/
An Introduction to Symmetry: Teacher Resources: http://www.geom.uiuc.edu/~demo5337/s97a/teacher.html
Knots on the Web: http://www.earlham.edu/~peters/knotlink.htm
MAA: http://www.maa.org/
The Math Forum: http://mathforum.org/
Mathematics ArXiv: http://front.math.ucdavis.edu/
Venn Diagram Survey: http://www.theory.cs.uvic.ca/%7Ecos/venn/VennEJC.html
Various poems and phrases have been employed to encode the decimal expansion of pi. Below are two poems that encode the digits of pi to 14 and 31 digits respectively. Simply count the number of letters in each word of the poem. For example the words in the phrase How I love pi! have three, one, four, and two letters each; while the decimal expansion of pi to the nearest thousandth is 3.142.
A Short Poem
(14 digits)
How I wish I could recollect
of circle round
the exact relation
Archimede? unwound.
A Longer Poem
(31 digits)
Sir, I send a rhyme excelling
In sacred truth and rigid spelling.
Numerical sprites elucidate for me
The lexicons full weight.
If Nature gain,
Who can complain,
Tho' Dr. Johnson fulminate?
The two poems above appeared in the magazine Omni in the midseventies.
If you know the source of these poems, please send email.
The great mathematician's name is misspelled. It's Archimedes.
Pi to 101 digits
3.14159 26535 89793 23846
26433 83279 50288 41971
69399 37510 58209 74944
59230 78164 06286 20899
86280 34825 34211 70680
These links were found by searching on the phrase "How I wish I could recollect" at Google.
Mnemonics for Numbers has a couple of lines of Pi poems and phrases
La page de Pi (yes, it's in French) consists of general information about p along with several poems in French, German, and English. The longest (in French) gives Pi to 127 digits!
The Pi Webring a site that has links to 17 Pi web pages and 10 general interest math pages.
A Tribute to Pi has a good chronology of Pi (in English this time).
Course  Section  Title  Days  Time  Location  

MATH 108  P1  Calculus with Review I  M  W  F    1055  1200  AQU 301  
Description of course Genetics B/ Lab: 
CRN: 40831
4 Credit Hours
Instructor: Melissa S. Loe
The first course of a twocourse sequence designed to integrate introductory calculus material with the algebraic and trigonometric topics necessary to support that study. Review topics include: number systems, basic algebra, functions, the Cartesian coordinate system and graphing. Calculus topics include limits, continuity, derivatives for algebraic functions, applications of derivatives and more graphing. This course is intended only for students planning to take MATH 109 and does not satisfy the mathematics requirement in the core curriculum. Prerequisite: A satisfactory score on the mathematics placement examination or successful completion of MATH 006. NOTE: Students who receive credit for MATH 108 may not receive credit for MATH 105, 111, or 113.
Schedule Details


MATH 240  01  Linear Algebra  M  W  F    0815  0920  OSS 333  
Description of course Genetics B/ Lab: 
CRN: 40834
4 Credit Hours
Instructor: Melissa S. Loe
An introductory course in linear algebra, beginning with linear equations and matrix algebra. Subsequent topics include study of vector spaces, orthogonality, eigenvectors and inner products. The course combines theoretical and applied perspectives, including concepts of rigorous proof. Offered every semester. Prerequisite: A grade of C or above in MATH 200 may be taken concurrenlty
Schedule Details

Course  Section  Title  Days  Time  Location 

Course  Section  Title  Days  Time  Location  

MATH 109  02  Calculus with Review II  M  W  F    1055  1200  OWS LL54  
Description of course Genetics B/ Lab: 
CRN: 20203
4 Credit Hours
Instructor: Melissa S. Loe
The second course of a twocourse sequence designed to integrate introductory calculus material with the algebraic and trigonometric topics necessary to support that study. Review topics include: exponential and logarithmic functions, trigonometric functions and their inverses and associated graphs. Calculus topics include: derivatives of the transcendental functions, applications of those derivatives and an introduction to integration. Prerequisite: a grade of C or better in MATH 108 NOTE: Students who receive credit for MATH 109 may not receive credit for MATH 105, 111, or 113.
Schedule Details


MATH 301  02  Abstract Algebra I  M  W  F    0815  0920  OSS 226  
Description of course Genetics B/ Lab: 
CRN: 21313
4 Credit Hours
Instructor: Melissa S. Loe
Properties of sets, relations and mappings; introduction to groups, rings and fields. Offered every spring semester. Prerequisite: A grade of C or above in MATH 240
Schedule Details


MATH 313  01  Probability  M  W      1335  1510  OWS 257  
Description of course Genetics B/ Lab: 
CRN: 20438
4 Credit Hours
Instructor: Melissa S. Loe
Probability theory in discrete and continuous sample spaces; random variables and distribution functions; moments; the momentgenerating function; functions of random variables; law of large numbers; central limit theorem. Offered in spring semester. Prerequisites: A grade of C or above in MATH 200 (may be taken concurrently with consent of instructor) NOTE: Students who receive credit for MATH 313 may not receive credit for MATH 303.
Schedule Details
