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)
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