# Loe, Melissa Shepard

Associate Professor, Associate Chair
Degree
Ph.D., University of Minnesota
Office
OSS 212
Phone
(651) 962-5534
Toll Free
(800) 328-6819, Ext. 2-5534
Fax
651-962-5670
Mail
OSS 201

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.

### Links to interesting math sites:

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

### Poems for Pi--March 14 is Pi Day

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 mid-seventies.
If you know the source of these poems, please send e-mail.

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

### Links to Other Pi Sites

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).

## Fall 2018 Courses

Fall 2018 Courses
Course - Section Title Days Time Location
MATH 113 - 02 Calculus I M - W - F - - 0815 - 0920 OSS 226

M - W - F - -

0815 - 0920

OSS 226

### Course Registration Number:

40228 (View in ClassFinder)

4 Credit Hours

### Instructor:

Melissa S. Loe

An introductory course in calculus: limits; derivatives and integrals of algebraic, exponential, logarithmic and trigonometric functions of one real variable; applications of the derivative in engineering and the natural sciences. Offered Fall, Spring and Summer. Prerequisite: a grade of C- or above in MATH 105 or placement at MATH 113 or above. Four years of high school mathematics, including college algebra and trigonometry, also are recommended as background for this course. NOTE: Students who receive credit for MATH 113 may not receive credit for MATH 108, 109, or 111.

## Schedule Details

Location Time Day(s)
MATH 317 - D01 Real Analysis M - W - F - - 1055 - 1200 OSS 214

M - W - F - -

1055 - 1200

OSS 214

### Course Registration Number:

40236 (View in ClassFinder)

4 Credit Hours

### Instructor:

Melissa S. Loe

Topology of the real numbers. Functions of one real variable. Rigorous development of continuity and uniform continuity; differentiability; uniform convergence. Sequences and series. Offered Fall. Prerequisites: A grade of C- or above in MATH 240

## Schedule Details

Location Time Day(s)

## J-Term 2019 Courses

J-Term 2019 Courses
Course - Section Title Days Time Location

## Spring 2019 Courses

Spring 2019 Courses
Course - Section Title Days Time Location
MATH 109 - 03 Calculus with Review II M - W - F - - 1055 - 1200 OSS 227

M - W - F - -

1055 - 1200

OSS 227

### Course Registration Number:

20147 (View in ClassFinder)

4 Credit Hours

### Instructor:

Melissa S. Loe

The second course of a two-course 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. Offered Fall, Spring and Summer. 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

Location Time Day(s)
MATH 128 - 01 Intro to Discrete Math M - W - F - - 0815 - 0920 OWS 251

M - W - F - -

0815 - 0920

OWS 251

### Course Registration Number:

20154 (View in ClassFinder)

4 Credit Hours

### Instructor:

Melissa S. Loe

A survey of basic discrete mathematical concepts. Topics include: Boolean algebra, logic, analysis of algorithms, mathematical induction and matrices. Focus on applications to computer science. Offered Fall and Spring.Prerequisite: A C‐ or better in either Math 109, Math 111, or Math 113 and a C‐ or better  in either CISC 130 or CISC 131, or instructor permission

## Schedule Details

Location Time Day(s)