Here is a link to an online Euclidean geometry text that is useful. If you want to buy the book online at Amazon as a paper copy for $10.80 click here. Hitchman, Geometry With An Introduction To Cosmic Topology. Here is a link to a free online copy of the text book: Michael P. Here is a link to the student goals for Aleks. Here is a link to the student information sheet for Aleks. Those outside of the class should contact me for access/ permission to use the videos.) Math 111: Mon, Wed, Fri 8:00-9:15 and Mon, Wed, Fri 9:30-10:45 amįor the MST 111 videos (these are only open to and intended for students registered in the class. Ĭlick here for a link to the a Maple worksheet on approximate integrals including the trapezoid rule and Simpson's rule. Here is a Maple worksheet to on solids of revolution. Here is a link to the a very basic Maple worksheet on taking integrals. Here is a link to the a very basic Maple worksheet to use as a template for graphing functions. Here is a link to Justin Roberts' Knot Theory Text, Knot Knotes. Here is a link to Hatcher's 3-manifold topology text. Here is a link to Hatcher's algebraic topology text. Here you can find an applet that lets you drag points to do complex iteration of seeds. Here you can find code to create a Mandlebrot set. Here you can find Manual Zoom on the Mandlebrot set. Here you can find Zoom video of Mandlbrot set on Youtube link. Here you can find chaos game applet for Sierpinski gasket fractals. Here you can find Sierpinski Triangle images including zoom. Here is a link to a Maple worksheet on taking integrals.Īnd the course schedule (permissions required). Here is a Maple worksheet to use as a template for graphing functions. Here is a link to the a Maple worksheet on Newton's Method. Here is a link to the a Maple worksheet on Reimann Sums (useful in 111 and 112). Here is a link to the a very basic introduction to Maple. Students with disabilities also need to contact the Disability Support Services Office in the Ley Student Center.Math 121: Section A: Tues and Thurs 8:00-9:15am, Section B: Tues and Thurs 9:30-10:45am, Section C: Tues and Thurs 12:30-1:45pmĬontains many resources for the class (login required).Ĭontains many resources for the class including the syllabusĪnd the course schedule (permission required). All discussions will remain confidential. Your grade in the class will be based on the following weights:Īny student with a documented disability needing academic adjustments or accommodations is requested to speak with me during the first week of class. Good mathematical exposition will be counted on both exams. There will be one midterm (the date to be determined) and a final exam. Your homework grade will consist of two scores: one for correctness and one for exposition. Late homework will receive at most 1/2 credit. You must show all of your work for full credit. Homeworks will be assigned every Wednesday and will be due the following Wednesday in class (or before class) unless otherwise stated they will be posted on OWL-Space. If you haven't taken the necessary prerequisite but would still like to take the course, please talk to me. In particular, one should be familiar with the rank, nullity, determinant, and eigenvalues of a matrix. The prerequisite is a course in linear algebra or a course that discusses matrices and some of their properties: Math 221, Math 354, Math 355, CAAM 335, or equivalent. The course will be mostly self-contained and will have an emphasis on careful proof writing. Here are some of the topics that we will discuss: Reidemeister moves, mod-p colorings, knot determinants, knot polynomials, Seifert surfaces, Euler characteristic, knot groups, and untying knots in 4-dimensions. We will also discuss open problems in knot theory. We will learn how to formalize knots and learn techniques to distinguish them from one another. The purpose of this course is to learn the basics of knot theory. It is an essential tool in the study of 3 and 4-dimensional manifolds. Knot theory is a large and active research area of mathematics that employs advanced techniques of abstract algebra and geometry. Knot theory is the study of smooth simple closed curves in 3-dimensional space. Knot Knotes by Justin Roberts (notes found at, more advanced than Livingston or Adams) The Knot Book by Colin Adams (book, includes a lot of open problems) Other useful references in Knot Theory (not required) Knot Theory by Charles Livingston (required) Homework and reading assignments will be posted on OWL-Space Office Hours: Mon 11am-12pm, Tues 1-2pm, Thurs 1-2pm Math 304: Elements of Knot Theory | Spring 2014Ĭlass meets: MWF 10am - 10:50am in HB 453 Math 304: Elements of Knot Theory - Spring 2014
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