| Date |
Topics |
Assignments |
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Jan 20
|
1.1 An Introduction to Number Theory
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Jan 27
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1.2 Some Elementary Properties of Divisibility
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Feb 3
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2.1 The Euclidean Algorithm
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Feb 10
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2.2 The Fundamental Theorem of Arithmetic
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Feb 17
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2.3 Applications of the Fundamental Theorem
2.4 Multiplicative Functions
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Feb 24
|
2.5 Linear Diophantine Equations
3.1 Introduction to Congruences
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March 2
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3.2 Fundamental Properties of Congruences
Exam I, Thursday March 6th
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March 9
|
Spring break
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March 16
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Extended spring break
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March 23
|
3.3 Linear Congruence Equations
3.4 Reduced Residue Systems and Euler's ϕ Function
3.5 More on Euler's ϕ Function
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March 30
|
3.6 Polynomial Congruences
5.1 Introduction to Diophantine Equations
5.2 Using Congruences to Solve Diophantine Equations
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April 6
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5.3 Phytagorean Triples
5.4 Fermat's Method of Descent
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April 13
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8.1 Introduction to Quadratic Fields
8.2 Quadratic Fields and Quadratic Integers
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April 20
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8.3 Divisibility and Factorization into Primes
8.4 Unique Factorization and Euclidean Domains
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April 27
|
8.5 Applications of Quadratic Fields to Diophantine Equations
Review
Last Day of Classes Tuesday April 28th
Final Exam
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Tuesday May 5th 8:00 - 11:00 AM
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