Department of Mathematics

Foundations of Algebra

Math 4030

Syllabus

Introduction

Foundations of the Foundation: Sets

Foundations of the Foundation: Logic

Foundations of the Foundation: Proofs

Numbers at the Foundation: Natural Numbers

Numbers at the Foundation: Integers

Numbers at the Foundation: Rational Numbers

Polynomials at the Foundation: Rational Coefficients

Polynomials at the Foundation: Roots

Numbers at the Foundation: Real Numbers

Numbers at the Foundation: Complex Numbers

Polynomials at the Foundation: The Fundamental Theorem

Linear Algebra at the Foundation: Number Fields

A Ruler and Compass at the Foundation: Constructible Numbers

Binary Arithmetic

First Midterm (Due October 4)

First Midterm Answer Key

Second Midterm (Due November 17)

Final Exam (Due December 15)

home   site index   webmaster   disclaimer   college of science   university of utah
155 South 1400 East, Room 233, Salt Lake City, UT 84112-0090, T:+1 801 581 6851, F:+1 801 581 4148