Mathematics Undergraduate Degrees

...Flow & Matching Theory, Randomization, and Approximation. We will tackle a variety of optimization problems by applying these techniques to find efficient algorithms...

...Research-led teaching We believe that undergraduates are best served by studying in a division that is active in research to the highest level... Learn about: Life Sciences, Biological Sciences, Research skills...

...and prepare you for degree-level study. The course covers a range of subjects, including number systems, functions and their graphs, elementary abstract algebra... Learn about: Part Time, GCSE Mathematics...

...1 hour / session 18.02SC Multivariable Calculus This course introduces students to probability and random variables. Topics include distribution functions... Learn about: IT Law...

...in which lecturers are performing research at the highest level, and we are fortunate in having an excellent international reputation for our research... Learn about: Discrete Mathematics, GCSE Mathematics, Vector Calculus...

...foundations for statistical methods that are useful in many applications. The goal is to understand the role of mathematics in the research and development... Learn about: GCSE Mathematics...

...core physics principles and laws to the absolute limit, providing critical new insights into the nature of the universe. The topics covered within... Learn about: Professional Physics, GCSE Physics, GCSE Mathematics...

...concentrating on specific statistical techniques used in science and industry. Topics include: Hypothesis testing and estimation, confidence intervals... Learn about: Confidence Training...

...rings, ideals, fields, polynomial rings, modules, factorization, integers in quadratic number fields, field extensions, and Galois theory. Students...

...Students should plan to study this chapter on their own. Artin, M. Algebra (2nd Edition). Addison Wesley, 2010. ISBN: 9780132413770. This undergraduate...

...including ideals and unique factorization in polynomial and Euclidean rings; field theory, including properties and applications of finite fields... Learn about: GCSE Mathematics...

...are based on the textbook below: Koblitz, Neal. Introduction to Elliptic Curves and Modular Forms. 2nd ed. New York: Springer-Verlag, 1993.... Learn about: GCSE Mathematics...

...and are provided with instruction and practice in written and oral communication. Some experience with proofs required. Linear Algebra... Learn about: Communication Training, Oral Communication...

...and associative algebras). Representation theory is an area of mathematics which, roughly speaking, studies symmetry in linear spaces. The prerequisites... Learn about: GCSE Mathematics...

...helpful as we'll be doing plenty of those in class and homework. However, if you aren't used to mathematical proofs, don't despair! You will hopefully...

...problems from the modern perspective of algebraic geometry. Topics include: Each topic represents 1-2 weeks of lectures There is no required...

...at the level of Rudin's "Principles of Mathematical Analysis" (18.100B here at MIT.) This background is essential both for the knowledge of the subject... Learn about: GCSE Mathematics...

...Lectures will be delivered by the students, with two students speaking at each class. There are no exams. There will be some homework assignments and a final paper...

...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...

...and Michael Spivak's Calculus on Manifolds, Manfredo Do Carmo's Curves and Surfaces. Lars Ahlfors' Complex Analysis will also be referred to at various points... Learn about: GCSE Mathematics...