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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
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Course Number | Section/Call Number | Times/Location | Instructor | Points | Enrollment |
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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
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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...