MATH 521 – Analysis I Fall of 2020-2021

发布时间：2024-06-03

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MATH 521 – Analysis I, Section 003

Number of Credits 3

Fall of 2020-2021

Official Course Description

The real numbers, elements of set theory, metric spaces and basic topology, sequences and series, limits, continuity, differentiation, integration, sequences, and series of functions, uniform convergence. Enroll Info: None

Prerequisites:

MATH 322, 341, 376, or 421 or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

LEARNING OUTCOMES

Course Learning Outcomes

• Study and use fluently induction, the real numbers, inf, sup.

• Study and use fluently metric spaces and basic topology.

• Understand concepts of sequences, series, limits, continuity, differentiation, integration.

• Getting familiar with sequences and series of functions, uniform convergence.

GRADING

• Assignments (homework) 30 points

• Two midterm exams 17.5 points

• Final exam 35 points

REQUIRED TEXTBOOK

Principles of Mathematical Analysis, by Walter Rudin, 3rd Ed. ISBN: 9780070542358.

SUGGESTED READING

Mathematical Analysis, an Introduction, by Andrew Browder, Springer, 1996, ISBN: 0-387-94614

EXAMS

• In class midterm exams on October 6 and November 10.

• Final exam on December 17, 7:45 am - 9:45 am.

HOMEWORK

Homework will be posted every Monday and will be due in a week.