Mathematics Degrees

...Students completing the course will be able to: Students completing the course will be able to: You must do the reading and answer reading questions before each class...

...Strang, Gilbert. Introduction to Linear Algebra. 4th ed. Wellesley-Cambridge Press, 2009. ISBN: 9780980232714. Reading assignments are also provided for the newer edition... Learn about: Professor Training...

...a communication intensive supplement to Linear Algebra, 18.06. We will go over the 18.06 syllabus, considering some topics in more depth. The main emphasis... Learn about: Communication Training...

...the lectures will be given by the students! For each lecture, the student lecturing will provide written notes to be handed out to the class... Learn about: GCSE Mathematics...

...This is quite different from real analysis and has much more geometric emphasis. It also has significant applications to other fields like analytic number theory...

...spaces, Radon-Nikodym Theorem, Lebesgue Differentiation Theorem, Fubini Theorem, Hausdorff measure, and the Area and Coarea Formulas. Analysis I (18...

...New York, NY: American Elsevier Publishing Co., Inc., 1973. ISBN: 0444105239. Griffiths, P., and J. Harris. Principles of Algebraic Geometry...

...is often a system of partial differential equations (PDEs). Thus, ii) often entails the analysis of a system of PDEs. This course will provide an application-motivated...

...NY: McGraw-Hill, 1987. ISBN: 0070542341. The course materials were presented according to the following breakdown of lectures: To pass the course...

...for the Schrodinger equation. In the last part of the course, we study solutions to the linear and the non-linear Schrodinger equation. All through the course...

...This course will follow the textbook: I use the same notation as Durrett whenever possible. Other suggested materials that may be helpful are available in the readings section...

...This graduate-level course introduces students to some fundamental 2D random objects, explains how they are related to each other, and explores some open problems in the field...

...1.5 hours / session The development of quantum field theory and string theory in the last two decades led to an unprecedented level of interaction between physics and mathematics... Learn about: GCSE Physics, GCSE Mathematics...

...is introduced and used in homework for simple examples. Lectures: 3 sessions / week, 1 hour / session 18.06 Linear Algebra, 18.700 Linear Algebra or equivalent...

...or Functions of a Complex Variable (18.112) are useful, as well as previous acquaintance with the equations as they arise in scientific applications...

...18.06 Linear Algebra, 18.700 Linear Algebra, or 18.701 Algebra I; or permission of instructor. This course is a student-presented seminar in combinatorics... Learn about: Communication Training, GCSE Mathematics, Oral Communication...

...the basics and make it easier for the students to read the materials in these chapters on their own. While these materials were not tested in the exams... Learn about: GCSE Mathematics...

...acoustics, quantum mechanics, and other applications. Lectures: 2 sessions / week, 1.5 hours / session Basic theory of one complex variable and ordinary...

...differential equations (PDE) that permeate various scientific disciplines. The emphasis is on nonlinear PDE. Applications include problems from fluid dynamics... Learn about: Mechanical Engineering, Fluid Dynamics...

...to discrete applied mathematics. The topics presented are generally grouped into units covering between one and two weeks. These units include probability... Learn about: Ms Word, GCSE Mathematics, Communication Training...