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18.100B Real Analysis

Prereq: Calculus II (GIR)
U (Fall, Spring)
12 Units

Three options offered, each covering fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchangeFour options offered, each covering fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations. Each option shows the utility of abstract concepts and teaches understanding and construction of proofs. Option A: Proofs and definitions are less abstract. Gives applications where possible. Concerned primarily with the real line. Option B: More demanding; for students with more mathematical maturity. Places more emphasis on point-set topology and n-space. Option P: 15-unit (4-0-11) variant of Option A, with further instruction and practice in written communication. Option Q: 15-unit (4-0-11) variant of Option B, with further instruction and practice in written communication.

Fall: A. P. Mattuck (18.100A), D. Jerison (18.100B), V. Gorin (18.100Q)
Spring: H. Macbeth (18.100A), information: R.B. Melrose (18.100B), information: R.B. Melrose (18.100P)

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Subject meets with 18.1002
Credit cannot also be received for 18.100A, 18.100Q

Mathematical Economics (Course 14-2)

http://catalog.mit.edu/degree-charts/mathematical-economics-course-14-2/

...18.100B , 18.100P , and 18.100Q , also satisfy this requirement. 18.100P and 18...

Department of Mathematics

http://catalog.mit.edu/schools/science/mathematics/

The Department of Mathematics offers training at the undergraduate, graduate, and postgraduate levels. Its expertise covers a broad spectrum of fields ranging from the traditional areas of "pure" mathematics, such as analysis, algebra, geometry, and topology, to applied mathematics areas such as combinatorics, computational biology, fluid dynamics, theoretical computer science, and theoretical physics.