Survey of Modern Algebra

Object Date More
Syllabus Wed Jan 19 Read it.
Homework 1
Solutions
Fri Jan 28 Course Notes
The Quadratic Formula
Cardano's Formula
Descartes' Factor Theorem
Homework 2
Solutions
Fri Feb 11 Course Notes
Complex Numbers
De Moivre's Formula
Roots of Unity
Exam 1
Solutions
Fri Feb 18 Total: 25 points
A = 20 and above
B = 15 and above
C = 9 and above
Homework 3
Solutions
Fri Mar 4 Course Notes
Straightedge and Compass
Constructible Numbers
Homework 4
Solutions
Fri Mar 11 Course Notes
Quadratic Field Extensions
Rational Root Test
Impossible Constructions
Exam 2
Solutions
Fri Mar 25 Total: 25 points
A = 20 and above
B = 15 and above
C = 10 and above
Homework 5
Solutions
Fri Apr 8 Course Notes
Notes on the FTA
Polynomials over a Field
Irreducible Polynomials
Homework 6
Solutions
Fri Apr 22 Course Notes
Partial Fractions
Euler's Proof of RFTA
Symmetric Functions