Advanced Topics in Mathematics
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In our Advanced Topics Class, the topic of Space comes up quite a bit. During the units on GPS, Chaos Theory, Topology, and even Number Theory, we discuss such issues as "What is the shape of space?" "Is the Universe Infinite?" "Is it curved?" "What is the nature of our Galaxy?" This page tries to help answer some of those questions.

Read the latest news about a group of black holes near the supermassive black hole at the center of our galaxy.

artists rendering of the powerful gravity of a black hole artists rendering of the powerful gravity of a black hole

Read about how scientists have listened to signals from space at different frequencies and the apparatus used to do this, called "The Big Ear"
(what is the Big Ear?)

the Big Ear listening device

The Hubble Space Telescope has been an invaluable tool in looking deep into space and beginning to understand the origins of the universe

In the 02/03 school year, we spent two weeks looking at how astronomers are searching for extrasolar planets and what kinds of mathematical data and formulae they use to determine whether a star has a planet orbiting it and what are its characteristics.

The latest news on extrasolar planets
More complex data on extrasolar planets
Other info on stars...
Often, this course looks at ways that scientists and mathematicians are working together to try to determine the curvature, interconnectedness, or shape of the universe. How are they trying to accomplish this?


We have also looked at artists and computer scientists working together to model activity in the universe such as the collision of two galaxies. Find out more about the picture of two galaxies colliding that is the background for this page here.

Galaxies and Galaxy Clusters are some of the most incredible and diverse sets of objects that exist in the universe. Astronomers have been able to catalog and analyze an enormous number of galxies...
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A discussion of the shape or curvature of the universe naturally leads to the concept of the fourth dimension. Curvature of a 3-D space requires that extra dimension. I highly recommend Rudy Rucker's book The Fourth Dimension if you want a fun, readable, mind-blowing book on the subject.

In the discussion of GPS, we learn that "Space Weather" and the solar wind greatly affect the GPS satellite signals. Therefore it is important to track the activity of the sun in order to be able to maintain accurate GPS readings...

A look at SPACE WEATHER (ionospheric disturbances)
Haystack Observatory in Westford, MA


Learn more about sunspots.

What is the Solar Cycle
and
How do Sunspots affect the earth?
RECENT "SUN REPORT":

These are SOHO images from January 15, 2005. You can learn more about images like these at the sites above.



A daily visit to NASA's Astronomy Picture of the Day is a great way to keep up with the latest developments in astronomy and find places to learn more about all topics in astronomy and space exploration

Recommended Readings



Contact: abeckwith@colonial.net
This Page Last Updated: 2/10/05
Adv.Topics Page Intro.
Concord-Carlisle High School
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