|Off on a Tangent
|A Fortnightly Electronic
Newsletter from the Hope College Department of Mathematics
|February 5, 2016||Vol. 14, No. 9
|Next week's colloquium: What happens if rooks fly?|
|Title: What happens if the
rooks fly? A combinatorial adventure in three and higher dimensions
|Speaker: Feryal Alayont, Grand Valley State University|
|Time: Tuesday, February 9 at 4:00-4:50 pm|
|Place: VanderWerf 102
The following colloquia are currently on the schedule for this semester. Others will be added as the semester goes along.
||On Friday, January 22, 2016, the Mathematics Department had their annual Statistics Showcase that highlights presentations from their Fall Math 210 Introduction to Statistics classes. This year the following students presented – Allison Hedrick, Logan Meeker, and Quincie Mitchell who were in Jill VanderStoep’s class; Cooper Jennings, Michael Peuler, and Matthew Rose who were in Dawn Verbrugge’s class; Aimée Ndong who was in Yew-Meng Koh’s class, Elizabeth Evenhouse, Courtney Kuemin, and Kaitlyn Tobin who were in Vicki-Lynn Holmes’ class; and Alyssa Pinkham, Michael Shelton and Isabel Wanyagah who were in Todd Swanson’s class.|
|Math Club News|
||The Math Club invites you and your friends to The
Theory of Everything on
Friday, February 5 at 9:00 pm in Winants Auditorium in Graves
The movie features the life of Stephen Hawking, one of the world's
foremost physicists. The movie tells the heartfelt story of
falling in love with arts student Jane Wilde and raising a family, all
while his body is failing him and his popularity soars as his brilliant
ideas become widely known.
For more info on the Hope Math Club's latest and greatest activities, visit their FaceBook page (and request to join the group).
|Math Summer Research|
It's time to start thinking about
summer! The mathematics department will host a number of research
students this summer. Typically projects run for eight weeks and
students earn a stipend for their participation. Projects include
work in the mathematical biology, statistics, mathematical modeling,
graph theory, and mathematics education.
There are also opportunities
available for summer research in mathematics at other institutions.
You can find a list of NSF funded Research Experience for
Undergraduates in mathematics here.
|Math in the News: Did Ancient Babylonians know Calculus?|
has been known that ancient Babylonians tracked the orbits of the moon
and other objects in the sky by using a series of additions,
subtractions, and multiplications----all in base-60. It has also been
known that they used some basic geometric concepts to help with
calculations on earth.
Recently, however, a tablet in the British Museum has been deciphered and appears to show that they used geometry to track Jupiter. A trapezoid was used to calculate the first 120 days of Jupiter's orbit. To calculate when Jupiter reaches the midpoint in the first half of this orbit involved taking the left half of a trapezoid and dividing it into two parts that have equal area. The approach the Babylonians used to figure this out is similar to integration in calculus. While they probably didn't go this far since they only divided the trapezoid a few times, it does show that they recognized the general approach integration.
For more information about this visit an article in Ars Technica.
February 27 the Math in Action Conference
University presents lively and informative discussions of current
issues in mathematics education while providing an opportunity for
practicing PreK – 12 teachers,
prospective teachers, curriculum directors, and college and university
faculty to share ideas, concerns,
and resources. The conference consists of six hour-long sessions with
eight separate interactive
presentations during each and is an
opportunity for Hope Mathematics and Mathematics
Education majors to attend great conference close to home.
For Hope College Mathematics and Math Education Majors, student registration fees and transportation via a Hope College Van will be covered by the Math Department and is being organized by Dr. Mann. Drop him an email at firstname.lastname@example.org or stop by his office, VanderWerf 213, to find out more or reserve your seat in the van by Thursday, February 11.
Solvers of the Fortnight
our last POTF we showed a square of side length 2 and a circle that
shared the same center. The total
area of the regions that are inside the circle and outside the square
is equal to the total area of the regions that are outside the circle
and inside the square. What is the radius of the circle?
Congratulations to Robert Abbaduska, Shawn Bates , George Becker Rust, Luke Boggs, Brandon Bowser, Owen Brooks, Josiah Brouwer, Landon Brower, Aaron Cendejas, Josh DeRitter, Alex Dolehanty, Alexander Donán, Brooke Draggoo, Grace DuMez, Conner Gentry, Zach Geschwendt, Jason Gomory, Alek Gohrmann, Mariah Heady, Katlyn Hettinger, Emily Hormeyer, Russell Houpt, Jesse Ickes, David Inman, Eddie Ip, Young Jin, Eric Johnson, Tom Johnson, Michael Kiley, Jacob Knol, Noah Kochanski, Elizabeth Koning, Jessica Korte, David Lunderberg, Chris McAuley, Taylor Myer, Joshua Nkonge, Monica Ohnsorg, Jackie Plowman, Cam Pratt, Miles Pruitt, Andrew Ragains, David Rak, Jessica Reichenbach, Jada Royer, Natalie Schalk, Jacquelyn Schwark, Andrew Shay, Emma Smalley, Daria Solomon, Regina Tan, Tristan Tobias, Kathryn Trentadue, Shannon Urbanik, Nathan Vance, and Jim Williamson -- all of whom correctly solved the Problem of the Fornight in the last issue of America's premiere fortnightly electronic mathematics department newsletter.
of the Fortnight
Are there any positive integers x, y, and z that simultaneously satisfy the following equations?
3x2 = 2y2 + 4z2 - 54 and 5x2 = 3y2 + 7z2 - 74
If so, find them. If not, show why not.
Attach your solution to a ski lift ticket (preferrably one that's valid for a local ski hill on one of the days of Winter Break) and drop it in the Problem of the Fortnight slot outside Professor Mark Pearson's office (VWF 212) by 3:00 p.m. on Friday, February 12. As always, be sure to include your name as well as the name(s) of your math professor(s) -- e.g. Ben Thinken, Professor Stu Pendus-- on your solution.
on a Tangent