Back in June of 2009, I wrote about the issues involved in graphing complex functions. Since then, I’ve been showing this material to my students and discussing the relationship between graphing real-valued functions and graphing complex-valued functions. As part of these talks, I’ve had to make explicit the difference between the Cartesian Plane and the [...]
Archive for the ‘Polynomial Roots’ Category
Graphing Complex Functions (Again)
Posted in Complex Analysis, Polynomial Roots on February 15, 2011 | Leave a Comment »
NY Times on Complex Numbers
Posted in Algebra, Applications, Complex Analysis, Polynomial Roots on March 7, 2010 | Leave a Comment »
I posted about the Complex Numbers last summer, and also wrote about using Newton’s Method to find complex roots. The New York Times math blog by Professor Steven Strogatz of Cornell University has an excellent post on complex numbers and Newton’s Method with some great graphics as well. It ends with a wealth of sources [...]
Graphing Complex Functions
Posted in Complex Analysis, Polynomial Roots on June 15, 2009 | 1 Comment »
In graphing real valued functions, each x value chosen is a real number, and each corresponding y value is also a real number. Because both the x and y values are one-dimensional real numbers, the relationship can be graphed on a plane, showing the x and y values together only requires TWO dimensions. We can [...]
Rational, Irrational and Complex
Posted in Polynomial Roots, tagged Descartes, Newton, Newton's Method, polynomial on June 3, 2009 | 2 Comments »
Roots of Polynomials Rene Descartes determined that if there existed rational roots for a polynomial with integer coefficients, then these roots would be related to the leading coefiicient and constant term in the manner stated in the Rational Roots Theorem. When I was in high school in the early 80s, we used this theorem to [...]
ORMATYC
Posted in Financial Mathematics, Math Education, Polynomial Roots on May 6, 2009 | Leave a Comment »
I went to Lincoln City this past weekend for the ORMATYC Conference. ORMATYC is the Oregon Mathematical Association of Two Year Colleges and is a part of the larger group AMATYC, the American Mathematical Association of Two Year Colleges. Just about every year, we have a conference in Lincoln City – this is the fifth [...]
