MATH 3150 Real Analysis

  • Last modification date Updated On April 23, 2024

Fall 2024

Course Information

Course MATH 3150 · Real Analysis
Instructor Alex Suciu
Course Web Site    https://suciu.sites.northeastern.edu/courses/math3150-fall2024
Place and Time TBA, Wednesday & Friday 11:45 am–1:25 pm
Office 435 LA – Lake Hall
Email a.suciu@northeastern.edu
Office Hours Wednesday 10:30 am–11:30 am & Friday 1:45 pm–2:45 pm, or by appointment
Prerequisites MATH 2321 (Calculus 3 for Science and Engineering) and MATH 2331 (Linear Algebra)
Textbook Elementary Analysis, Kenneth A. Ross, Springer Verlag, Undergraduate Texts in Mathematics, 2013. Solutions to exercises are available here.
Syllabus Schedule of topics, problem sets, and midterm test (from Fall 2023)
Course Description 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.
Course Learning Objectives 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.
Grade Based on problem sets (40%), midterm test (20%), and final exam (40%).

Problem sets

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.

Class Materials

Fall 2023
Fall 2022
Fall 2016
Fall 2014