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Professor Alexandru I. Suciu |
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| MATH 3150 · Real Analysis |
| Fall 2022 |
 Course Information
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Course
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MATH 3150 · Real Analysis: CRN 15149, Section 2
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Instructor
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Alex Suciu
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Course Web Site
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www.northeastern.edu/suciu/MATH3150/analysis.fa22.html
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Time and Place
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Wednesday & Friday 11:45 am–1:25 pm, in 140 West Village C
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Office
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435 LA – Lake Hall
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Email
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 a.suciu@northeastern.edu
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Office Hours
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Wednesday 10:30 am–11:30 am & Friday 1:45 pm–2:45 pm, or by appointment
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Prerequisites
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MATH 2321 (Calculus 3 for Science and Engineering) and MATH 2331 (Linear Algebra)
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Textbook
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Elementary Analysis,
Kenneth A. Ross, Springer Verlag, Undergraduate Texts in Mathematics, 2013.
Solutions to exercises are available here.
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Syllabus
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Schedule of topics, problem sets, and midterm test
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Course Description
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This course will provide the theoretical underpinnings of calculus and the advanced study of functions.
Emphasis will be on precise definitions and rigorous proof.
Topics include the real numbers and completeness; limits and convergence; continuity, uniform continuity, and
differentiability; power series and Taylor series; the Riemann integral and the Fundamental Theorem of Calculus.
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Course Learning Objectives
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At the end of the course students will be able to demonstrate an understanding of theorems in analysis,
write proofs based on the theorems covered in the course, and clearly present their reasoning and steps in their solutions to problems.
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Grade
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Based on problem sets (40%), midterm test (20%), and final exam (40%).
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Problem sets
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There will be 5 problem sets posted on Canvas and here. You will have at least one week to work on each problem set and submit your work.
It is expected that you will work on the problem sets together; however, they must be written up separately.
Course Materials and Exams
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Review session: Monday December 12, from 4:30pm to 6:00pm, in 425 Hayden Hall.
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