Science Degrees in the USA

...at a higher level, many classical notions of elementary algebra. "Higher level" means that one allows maps (morphisms) not only between algebraic structures...

...Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates. Knowledge is your reward. Use OCW to guide your own life-long learning... Learn about: Mathematical Physics, GCSE Physics...

...consisting of 5 to 10 problems. The problems are usually not routine calculation, and will require some thinking, so it's essential to get an early start on the problem...

...This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry. The text for this class is Differential Geometry...

...Joseph H. The Arithmetic of Elliptic Curves. Springer-Verlag, 2009. ISBN: 9780387094939. (errata) [Preview with Google Books] Some of the theorems presented...

...or to simply write your own code, if you wish. In any case, you will be graded on your results, not your code. There will be weekly problem...

...the quadratic case of Class Field Theory via Hilbert symbols, in order to give a more hands-on introduction to the ideas of Class Field Theory...

...Prentice-Hall, 28 December 1999. ISBN: 0131816292. An errata sheet (PDF) is available. You are expected of course to read the text and to listen to the lectures... Learn about: GCSE Mathematics...

...Die Mathematik ist die Königin der Wissenschaften und die Zahlentheorie ist die Königin der Mathematik - Carl Friedrich Gauss [Translation... Learn about: GCSE Mathematics...

...mainly composed of exercises given by lecturers. These are optional and do not have to be turned in. If you are interested in learning the material...

...This course provides an introduction to algebraic number theory. Topics covered include dedekind domains, unique factorization of prime ideals...

...(Graduate Texts in Mathematics). Springer-Verlag Berlin and Heidelberg GmbH & Company, 1993. ISBN: 9783540979265. [Preview with Google Books]... Learn about: GCSE Mathematics...

...Chicago, IL: University of Chicago Press, 1999. ISBN: 0226511820 (cloth: alk. paper) and 0226511839 (pbk.: alk. paper). (PDF - 1.3...

...*About one-third of the practice talks were included in the course calendar; students scheduled the remaining two-thirds independently. Don't show me... Learn about: Professor Training...

...We will loosely follow the book: Schwartz, Lionel. Unstable Modules over the Steenrod Algebra and Sullivan's Fixed Point Set Conjecture. Chicago...

...centered on the notion of curvature. Analysis I (18.100) plus Linear Algebra (18.06 or 18.700) or Algebra I (18.701) Kuhnel, Wolfgang. Differential Geometry...

...covering the entire MIT curriculum. No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates...

...mirror symmetry at the level of Hodge numbers, Hodge structures, and quantum cohomology. Coherent sheaves, derived categories; Lagrangian Floer homology...

...They have to be written to show that the scribe understands the material. Please use the following LaTeX package to prepare the notes Students will... Learn about: Communication Training...

...Modify, remix, and reuse (just remember to cite OCW as the source.) Learn more at Get Started with MIT OpenCourseWare... Learn about: GCSE Mathematics...