Department of Mathematics

Math 4030 Notes

The Book:

Introduction to Chapter 1

1.1 The Natural Numbers (with HW Assignment 1)

1.2 The Integers and Rational Numbers (with HW Assignment 2)

1.3 The Real Numbers (with HW Assignment 3)

1.4 The Complex Numbers (with HW Assignment 4)

Introduction to Chapter 2

2.1 Polynomial Basics (with HW Assignment 5)

2.2 Euclidean Domains (with HW Assignment 6)

2.3 Roots (with HW Assignment 7)

2.4 Clock Arithmetic and Finite Fields (with HW Assignment 8)

2.5 The Fundamental Theorem of Algebra (with HW Assignment 9)

Introduction to Chapter 3

3.1 Linear Algebra (with HW Assignment 10(!))

3.2 Constructible Numbers (with HW Assignment 11)

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