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MATH GU4061 INTRO MODERN ANALYSIS I. 3 points.

Prerequisites: MATH UN1202 or the equivalent, and MATH UN2010. The second term of this course may not be taken without the first.

Prerequisites: MATH UN1202 or the equivalent, and MATH UN2010. The second term of this course may not be taken without the first. Real numbers, metric spaces, elements of general topology, sequences and series, continuity, differentiation, integration, uniform convergence, Ascoli-Arzela theorem, Stone-Weierstrass theorem.

Spring 2022: MATH GU4061
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 4061 001/11902 M W 2:40pm - 3:55pm
417 Mathematics Building
Florian Johne 3 42/50
MATH 4061 002/11903 M W 4:10pm - 5:25pm
520 Mathematics Building
Joshua Pfeffer 3 19/49
Fall 2022: MATH GU4061
Course Number Section/Call Number Times/Location Instructor Points Enrollment
MATH 4061 001/12829 T Th 2:40pm - 3:55pm
Room TBA
Florian Johne 3 77/100
MATH 4061 002/12830 T Th 4:10pm - 5:25pm
Room TBA
Florian Johne 3 19/100

Applied Mathematics

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/applied-mathematics/

Director of Undergraduate Studies: Prof. Mu-Tao Wang, 514 Mathematics; 212-854-3052; mtwang@math.columbia.edu  

Computer Science - Mathematics

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/computer-science-mathematics/

Director of Undergraduate Studies: Prof. Mu-Tao Wang, 514 Mathematics; 212-854-3052; mtwang@math.columbia.edu  

Mathematics-Statistics

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/mathematics-statistics/

Director of Undergraduate Studies: Prof. Mu-Tao Wang, 514 Mathematics; 212-854-3052; mtwang@math.columbia.edu  

Mathematics

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/mathematics/

Director of Undergraduate Studies: Prof. Mu-Tao Wang, 514 Mathematics; 212-854-3052; mtwang@math.columbia.edu  

Mathematics

Barnard College

http://bulletin.columbia.edu/barnard-college/courses-instruction/mathematics/

Students who have special placement problems, or are unclear about their level, should make an appointment with a faculty member or the Chair.

Economics - Mathematics

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/economics-mathematics/

Departmental Office: 1022 International Affairs Building; 212-854-3680 http://www.columbia.edu/cu/economics/

Mathematics

Columbia College

http://bulletin.columbia.edu/columbia-college/departments-instruction/mathematics/

...of MATH GU4061 - MATH GU4062 by one or two of the following courses: MATH UN2500...

Economics

Columbia College

http://bulletin.columbia.edu/columbia-college/departments-instruction/economics/

...Intermediate Macroeconomics MATH UN2010 LINEAR ALGEBRA Corequisites: MATH UN2500 ANALYSIS AND OPTIMIZATION or GU4061 ECON...

Economics - Philosophy

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/economics-philosophy/

...Intermediate Macroeconomics MATH UN2010 LINEAR ALGEBRA Corequisites: MATH UN2500 ANALYSIS AND OPTIMIZATION or GU4061 ECON...

Economics - Political Science

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/economics-political-science/

...Intermediate Macroeconomics MATH UN2010 LINEAR ALGEBRA Corequisites: MATH UN2500 ANALYSIS AND OPTIMIZATION or GU4061 ECON...

Economics - Statistics

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/economics-statistics/

...Intermediate Macroeconomics MATH UN2010 LINEAR ALGEBRA Corequisites: MATH UN2500 ANALYSIS AND OPTIMIZATION or GU4061 ECON...

Economics

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/economics/

...Intermediate Macroeconomics MATH UN2010 LINEAR ALGEBRA Corequisites: MATH UN2500 ANALYSIS AND OPTIMIZATION or GU4061 ECON...

Financial Economics

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/financial-economics/

...Intermediate Macroeconomics MATH UN2010 LINEAR ALGEBRA Corequisites: MATH UN2500 ANALYSIS AND OPTIMIZATION or GU4061 ECON...

Statistics

Barnard College

http://bulletin.columbia.edu/barnard-college/courses-instruction/statistics/

...replace two electives with MATH GU4061 INTRO MODERN ANALYSIS I and MATH GU4062 INTRO MODERN...

Statistics

Columbia College

http://bulletin.columbia.edu/columbia-college/departments-instruction/statistics/

...replace two electives with MATH GU4061 INTRO MODERN ANALYSIS I and MATH GU4062 INTRO MODERN...

Statistics

General Studies

http://bulletin.columbia.edu/general-studies/majors-concentrations/statistics/

...replace two electives with MATH GU4061 INTRO MODERN ANALYSIS I and MATH GU4062 INTRO MODERN...

Economics & Mathematics

Barnard College

http://bulletin.columbia.edu/barnard-college/courses-instruction/economics-mathematics/

...SENIOR SEMINAR . ** MATH GU4061 INTRO MODERN ANALYSIS I is an acceptable alternative to MATH UN2500...