The first midterm will cover the content from Lecture 1 until Lecture 12. Please see the lecture notes here.

This corresponds to the following chapters and sections of the book

This corresponds to the following chapters and sections of the book

D’Angelo/West, Mathematical Thinking, Second Edition

Chapter 1: Numbers, Sets, and Functions

– Set-theoretic concepts and operations

– Functions: Formal definition and basic concepts (graph, image set, bounded function, decreasing/increasing function)

– Triangle and AGM inequalities

Chapter 2: Language and Proof

– Logical statements, conditionals, quantifiers

– Methods of proof (direct, contraposition, contradiction)

Chapter 3: Induction

– Induction and strong induction

– Well-ordering principle

– Applications

For the part of ‘Language and Proof’, you can also check the first chapter of the book

Kenneth H. Rosen: Discrete Mathematics and Its Applications, McGraw-Hill, 7th edition