MTH 311 Real Analysis (Fall 2022):
 What is Real Analysis?
Real analysis is an examination of the theory of calculus of a single variable. Topics include properties of the real numbers, topology of the real line, and a rigorous treatment of sequences, functions, series of functions, limits, continuity, differentiation and integration. Find more information about the course in the syllabus and introduction.  Instructor: Dr. Sofya Chepushtanova, office SLC 408, email: sofya.chepushtanova@wilkes.edu.
 Class meetings: MWF 11:0011:50 am and T 02:0002:50 pm in SLC 405.
 Office Hours: MTR 10:0010:50 am and MW 12:0012:50 pm or by appointment.
 Textbook: Understanding Analysis by Stephen Abbott, 2nd ed. (Springer).
 Reading:
 LaTeX: a markup language to typeset documents. It excels at making math and the overall layout beautiful.
You can use it to type your homework solutions. Read the tutorial here. You may find the following LaTeX cheatsheet useful.
Schedule (updated as the semester progresses):
Week of 
 Topics to Read   Remarks, Materials, Assignments 
8/29  Introduction. Chapter 1: §1.1 The Irrationality of √2. §1.2 Preliminaries. §1.3 The Axiom of Completeness. 
Notes for §1.1 Notes for §1.2 Notes for §1.3 Homework Guidelines 
9/5  No class on Monday (Labor Day) §1.4 More on Completeness. §1.5 Cardinality. 
Notes for §1.4 Notes for §1.5 Homework 1 due 9/7: Read Sections 1.2, 1.3 and do exer. 1.2.1, 1.2.5, 1.2.7 (a,b), 1.2.8, 1.2.11 (a,b), 1.2.12, 1.3.1 Latex template for homework: here Homework 1 Solutions 
9/12  §1.6 Cantor's Theorem. Chapter 2: §2.1 Rearrangements of Infinite Series. §2.2 The Limit of a Sequence. 
Notes for §1.6 Notes for §2.1 Notes for §2.2 Homework 2 due 9/14: Read Sections 1.3, 1.4 and do exer. 1.3.2, 1.3.4 (a), 1.3.5 (a), 1.3.8, 1.4.1, 1.4.4, Bonus: 1.4.5 Homework 2 Solutions 
9/19  §2.3 Limit Theorems. §2.4 The Monotone Convergence Theorem and Infinite Series. §2.5 Subsequences. 
Notes for §2.3 Homework 3 due 9/21: Read Sections 1.5, 1.6, 2.1, 2.2 and do exer. 1.5.5 (c), 1.6.6, 2.2.2, 2.2.6, 2.2.7 (a,b), Bonus: 1.5.4 (a) 
9/26 
Homework 4 due 9/30: Read Sections 2.3, 2.4 and do exer. 2.3.1, 2.3.3, 2.3.4 (b,c), 2.3.7 (a,b,c), Bonus: 2.3.7 (d,e) 
