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Title : 18.100C Real Analysis (MIT)

Title : 18.100C Real Analysis (MIT)

Description : This course covers the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. It shows the utility of abstract concepts and teaches an understanding and construction of proofs. MIT students may choose to take one of three versions of Real Analysis; this version offers three additional units of credit for instruction and practice in written and oral presentation.   The three options for 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginni

Description : This course covers the fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, and the interchange of limit operations. It shows the utility of abstract concepts and teaches an understanding and construction of proofs. MIT students may choose to take one of three versions of Real Analysis; this version offers three additional units of credit for instruction and practice in written and oral presentation.   The three options for 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginni

Fromsemester : Fall

Fromsemester : Fall

Fromyear : 2012

Fromyear : 2012

Creator :

Creator :

Date : 2013-04-11T13:35:39+05:00

Date : 2013-04-11T13:35:39+05:00

Relation : 18.100C

Relation : 18.100C

Language : en-US

Language : en-US

Subject : mathematical analysis

Subject : mathematical analysis

Subject : Archimedean principle

Subject : Archimedean principle

Subject : decimal expansion

Subject : decimal expansion

Subject : Cauchy-Schwarz

Subject : Cauchy-Schwarz

Subject : metric spaces

Subject : metric spaces

Subject : open subsets

Subject : open subsets

Subject : Euclidean space

Subject : Euclidean space

Subject : convergent sequences

Subject : convergent sequences

Subject : subsequential limits

Subject : subsequential limits

Subject : inverse functions

Subject : inverse functions

Subject : Stone-Weierstrass theorem

Subject : Stone-Weierstrass theorem

Subject : theory of integration

Subject : theory of integration

Subject : Riemann-Stjeltjes integral

Subject : Riemann-Stjeltjes integral

Subject : Fourier series

Subject : Fourier series