There is no textbook. Here are my lecture notes.
Here is the optional writing assignment. First deadline: Friday, March 20.
Here is the course syllabus.
My office hours are Wednesdays 2-3pm and Thursdays 12-1pm.
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| Item |
Date |
Information |
Homework 1
Solutions
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Fri, Jan 31
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The Quadratic Formula
Long Division of Polynomials
Descartes' Factor Theorem
Unique Factorization
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Homework 2
Solutions
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Fri, Feb 14
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Intermediate Value Theorem
Newton's Method
Cardano's Formula
Complex Numbers
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Exam 1
Review Notes
Solutions
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Fri, Feb 21
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Approximate Grade Ranges:
A = 20-24
B = 16-20
C = 13-16
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Homework 3
Solutions
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Fri, Mar 6
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Trigonometry
De Moivre's and Euler's Formulas
The Complex Plane
Roots of Unity
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| Coronavirus Happened Here |
Homework 4
Solutions
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Fri, Apr 10
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Preview of Gauss-Wantzel
Vector Spaces
Complex Numbers as Real Matrices
FTA and Partial Fractions
Euclidean Domains
Partial Fractions Theorem
Leibniz' Mistake, nth Roots of Any Number
HW4 Discussion
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Homework 5
Solutions
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Fri, May 1
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Euler's Attempt at the FTA
Equivalent Statements of FTA, Laplace's Proof
Symmetric Polynomials
Fundamental Theorem of Symmetric Polynomials
Conclusion of Laplace's Proof
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Epilogue
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Modular Arithmetic in Z and F[x]
Kronecker's Theorem
Algebraic Translation of "Constructibility"
HW5 Discussion, Quadratic Field Extensions
Three Impossible Constructions
Gauss-Wantzel and Beyond
Who Was Evariste Galois?
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| Cheat Sheet for a Fictional Exam: Due Wed, May 6 |