MATH5910-IR.Analysis II.F15.Roussos,Ioannis

Faculty Name

Ioannis Roussos

Document Type

Syllabi

School

CLA

Department

MATH

Course Subject

MATH

Course Number

5910

Course Section

IR

Course Title

Analysis II

Academic Term and Year

Fall 2015

Credits

4.00

Area of Study

MATH

Course Description

Goals: To learn the language, fundamental concepts, and standard theorems of analysis. To also learn how to reason deductively from explicit assumptions and definitions in mathematical analysis, thus developing analytic techniques for attacking problems that arise in applied mathematics. Recommended for students considering graduate school in mathematics. Content: An introduction to real analysis with emphasis on proofs of theorems and on problem solving. Topics include properties of the real number system, functions, sequences, limits and continuity, differentiation, integration, and infinite series including sequences and series of functions. Taught: Spring term, alternate years Prerequisites: MATH 3910 Credits: 4

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