Course Coordinator
Sung Y. Song (sysong@iastate.edu)
Catalog Description
MATH 201. Introduction to Proofs.
(30) Cr. 3. F.S. Prereq: MATH 166 or MATH 166H
Logic and techniques of proof including induction. Communicating mathematics. Writing proofs about sets, functions, real numbers, limits, sequences, infinite series and continuous function.
Textbook
Hammack
Book of Proof
ISBN: 9780989472104
Lebl
Basic Analysis: Introduction to Real Analysis
ISBN: 9780161400000
Syllabus
[BP] refers to the book Book of Proof. [BA] refers to the book Basic Analysis.
Chapter & Sections Topics  Time 

Sets  34 days 
[BP] §§1.18: Sets ([BA] §0.3: Basic Set Theory) 

Logic  47 days 
[BP] Chapter 2: Logic  
Direct Proof  13 days 
[BP] Chapter 4: Direct Proof  
Proof by Contrapositive  12 days 
[BP] Chapter 5: Proof by Contrapositive  
Proof by Contradiction  12 days 
[BP] Chapter 6: Proof by Contradiction  
Proving NonConditional Statements  12 days 
[BP] Chapter 7: Proving NonConditional Statements  
Proofs Involving Sets  13 days 
[BP] Chapter 8: Proofs Involving Sets  
Disproof  12 days 
[BP] Chapter 9: Disproof  
Mathematical Induction  24 days 
[BP] Chapter 10: Mathematical Induction  
Chapters 1112: Functions and Relations  24 days 
[BP] §11.0: Relations Between Sets [BP] Chapter 12: Functions 

Cardinality  12 days 
[BP] Chapter 13: Cardinality  
Real Numbers  24 days 
[BA] § 1.1: Ordered Sets, Fields, Ordered Fields [BA] § 1.2: Completeness, Archimedean Property [BA] §1.3: Uncountability of ℝ 

Sequences and Series  47 days 
[BA] Chapter 2: Sequences and Series  
Limits and Continuity  13 days 
[BA] §§3.12: Limits of Functions, Continuous Functions 
Objectives with THREE midterms
The following links point to external PDF files:
 Objectives for Midterm 1
 Objectives for Midterm 2
 Objectives for Midterm 3
 Objectives for Final Exam
Objectives with TWO Midterms
The following links point to external PDF files:
Old Exams
None available.
Official Math Department Policies
The Math Department Class Policies page describes the official policies that all instructors have to follow. It covers rules on makeup exams, cheating, student behavior, etc.
Students With Disabilities
If you have a documented disability and require accommodations, you should obtain a Student Academic Accommodation Request (SAAR) from the Disability Resources office (Student Services Building, Room 1076, 2946624 or TDD 2946335, disabilityresources@iastate.edu or accommodations@iastate.edu). Please contact your instructor early in the semester so that your learning needs may be appropriately met.
More information about disability resources in the Mathematics Department can be found at http://www.math.iastate.edu/Undergrad/AccommodationPol.html.