
Professor Alexandru I. Suciu


MATH 3150 · Real Analysis

Fall 2015

Course Information
Course

MATH 3150 · Real Analysis

Instructor

Alex Suciu

Course Web Site

www.northeastern.edu/suciu/MATH3150/analysis.fa15.html

Time and Place

Monday & Wednesday 2:50pm4:30pm, in 119 Snell Library

Office

435 LA – Lake Hall

Phone

(617) 3733899

Email

a.suciu@neu.edu

Office Hours

Mon, Wed 4:405:40pm, in 435 LA, 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

Course Description

Provides the theoretical underpinnings of calculus and the advanced study of functions. Emphasis is on precise definitions and rigorous proof. Topics include the real numbers and completeness, continuity and differentiability, the Riemann integral, the fundamental theorem of calculus, inverse function and implicit function theorems, and limits and convergence.

Grade

Based on problem sets (40%), midterm exam (20%), and final exam (40%). It is expected that you will work on the problem sets together; however, they must be written up separately.


Homework assignments

Homework 1: Chapter 1, Problems 1.3, 3.3, 3.4, 3.8, 4.8, and 4.10. Due Monday, September 21. Solutions to Homework 1.

Homework 2: Chapter 2, Problems 8.9, 9.6, 9.12, 10.2, 10.10 and 11.10. Due Monday, October 5. Solutions to Homework 2.

Homework 3: Chapter 2, Problems 12.4, 12.8, 13.3, 13.6, and 13.9. Due Wednesday, October 14. Solutions to Homework 3.

Homework 4: Chapter 2, Problems 14.4, 15.6. Due Monday, October 26.

Homework 5: Chapter 3, Problems 17.9, 17.14, 18.10, 19.6, 19.9, 21.4, 22.2. Due Monday, November 16. Solutions to Homework 5

Homework 6: Chapter 4, Problems 23.2, 23.6, 24.2, 24.6, 25.6. Due Monday 11/23 in class, or Tuesday 11/24 by email. Solutions to Homework 6

Homework 7: Chapters 46, Problems 26.2, 26.6, 28.4, 28.8, 29.14, 32.8, 33.4. Due Wednesday, December 9.
Course Materials and Exams

Midterm exam: Wednesday, October 28.

Review session: Friday December 11, from 1:30pm to 3:30pm, in 509 Lake Hall.

Final exam: Tuesday December 15, at 1:003:00pm, in 229 Richards Hall.
