MSL - Foundations of Mathematical Reasoning 

COURSE MATERIALS

Lectures

Chapter 1 (PDF) - Sets: Operations and Paradoxes
Chapter 2 (PDF) - Elements of Logic
Chapter 3 (PDF) - Numbers: Real Line
Chapter 4 (PDF) - Functions: Basic Terminology

Chapter 5 (PDF) - Sets: Bijections and Cardinality
Chapter 6 (PDF) - Arithmetic: Divisibility
Chapter 7 (PDF) - Proofs: First Techniques
Chapter 8 (PDF) - Proofs: Induction

Chapter 9 (PDF) - Proofs: The Pigeon Hole Principle
Chapter 10 (PDF) - Numbers: Complex Plane
Chapter 11 (PDF) - Polynomials: Introduction


Homework

NameH1H2H3H4H5H6H7H8Sum
Andres62310 6 229
Anouar5711123   38
Antonio5621145  33
Arjun35611   429
Carl8667540541
Daniyar  510 5 323
Diego6111415672667
Do Tuan Anh 36    312
Jonathan16817129141380
Jovan344    314
Kaloyan-Lukas5242    13
Marin53510 7  30
Mark5671046 442
Mathilda111578572459
Olivia7181110650360
Paula4226    14
Tamino1114710552559
Tessa716107681358
Torntanat61751746  55
Victor14288   23
Yesha7767761344
Yousuf61135 11 27
1 point = 1 problem solved


Tests and Exam

NameTest1Test2ExamT
(Test)
ExamE (Pbs)ExamE (Sum)
Andres141614  
Anouar8--  
Antonio131818  
Arjun141716  
Carl111212  
Daniyar101211  
Diego191818  
Do Tuan Anh151615  
Jonathan181919  
Jovan131615  
Kaloyan-Lukas151814
Marin131716  
Mark161714  
Mathilda101314  
Olivia141211  
Paula12-   
Tamino81915  
Tessa8129  
Torntanat121512  
Victor789  
Yesha81414  
Yousuf10128  
Max.Poss.2020204060


Percents of the Final Grade

Name HomeW* Test1 Test2 ExamT ExamE ClassP** %
Andres14.57.5872
Anouar194--  1 
Antonio16.56.599  5 
Arjun14.578.58  3 
Carl20.55.566  7 
Daniyar11.5565.5  2 
Diego33.59.599  6 
Do Tuan Anh67.587.5  3 
Jonathan4099.59.5  8 
Jovan76.587.5  3 
Kaloyan-Lukas6.57.597  4 
Marin156.58.58  3 
Mark2188.57  6 
Mathilda29.556.57  4 
Olivia30765.5  3 
Paula76-   5 
Tamino29.549.57.5  7 
Tessa29464.5  7 
Torntanat27.567.56  2 
Victor11.53.544.5  2 
Yesha22477  6 
 Yousuf13.5564  3 
 Max.Poss. 40% 10% 10% 10% 20% 10% 100%

* The percentage of your homework is calculated as the maximum percentage (40%) times the ratio of your score to the maximum score (80 for Jonathan)
** In-class participation takes into account your class attendance and involvement in the process

LITERATURE

1. Book of Proof, Richard Hammack, Virginia Commonwealth University 2013
2. Handbook of Discrete and Combinatorial Mathematics, Kenneth H. Rosen (Editor), CRC Press 2000
3. Prove It: The Art of Mathematical Argument, Bruce H. Edwards, The Teaching Company 2012
4. Problem Solving Through Problems, Loren C. Larson, Springer 1983
5. Mathematical Circles, Dmitri Fomin, Sergey Genkin, Ilia V. Itenberg, Universities Press 1998