Prerequisites: 343 / Programs and Courses 343 / Programs and Courses MATH 010B with a grade of “C-” or better, MATH 046 with a grade of “C-” or better, concurrent enrollment or completion of MATH 144 with a grade of “C-” or better; or consent of instructor
Description: Covers classical fractals; fractal dimensions; self-similar fractals; fractal curves and sets; random fractals; chaotic dynamics and fractals; iteration theory; Julia set; and the Mandelbrot set. Explores the beauty of fractals; mathematical description of irregular shapes (clouds, trees, coastlines, mountains, galaxies, lungs, snowflakes); and applications to physics, engineering, biology, and computer graphics.