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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.