Math 580 Material

Classroom Presentations [web page]

Notes 1: Rational and Irrational Numbers [pdf]

Quiz 1, 2019 [pdf]

Quiz 1 Solutions, 2019 [pdf]

Notes 2: Divisibility and The Division Algorithm [pdf]

Notes 3: The Fundamental Theorem of Arithmetic [pdf]

Quiz 3 Solution Key, 2010 [pdf]

Notes 4: The Euclidean Algorithm [pdf]

Quiz 2, 2019 [pdf]

Quiz 2 Solutions, 2019 [pdf]

Notes 5: Modular Arithmetic [pdf]

Review Sheet for Test 1, Fall 2010 [pdf]

Test 1, Fall 2010 [pdf]

Solutions to Test 1, Fall 2010 [pdf]

Quiz 3, 2019 [pdf]

Quiz 3 Solutions, 2019 [pdf]

Notes 6: Fermat's Little Theorem [pdf]

Quiz 4, 2019 [pdf]

Quiz 4 Solutions, 2019 [pdf]

Notes 7: Euler's Theorem and Wilson's Theorem [pdf]

Quiz 5, 2019 [pdf]

Quiz 5 Solutions, 2019 [pdf]

Quiz 6, 2019 [pdf]

Review Sheet for Test 1 in 2019 [pdf]

Test 1 in 2019 [pdf]

Solutions to Test 1 in 2019 [pdf]

Notes 8: The Chinese Remainder Theorem [pdf]

Quiz 7, 2019 [pdf]

Quiz 7 Solutions, 2019 [pdf]

Quiz 9, 2019 [pdf]

Quiz 9 Solutions, 2019 [pdf]

Notes 8 Appendix: Counting Prime Numbers [pdf]

Notes 9: Supplement on Calculating Inverses [pdf]

Comments on Quiz 8, 2010 [pdf]

Notes 10: Euler's Phi Function Revisited [pdf]

Review Sheet for Test 2, Fall 2010 [pdf]

Test 2, Fall 2010 [pdf]

Solutions to Test 2, Fall 2010 [pdf]

Notes 11: Polynomial Basics [pdf]

Quiz 8, 2019 [pdf]

Quiz 8 Solutions, 2019 [pdf]

Quiz 10, 2019 [pdf]

Quiz 10 Solutions, 2019 [pdf]

Quiz 11, 2010 [pdf]

Quiz 11 Solutions, 2010 [pdf]

Notes 12: Polynomials Modulo Integers, A First Look at Quadratics [pdf]

Quiz 12 Solution Key, 2010 [pdf]

Notes 13: Lagrange's Theorem [pdf]

Notes 14: Primitive Roots [pdf]

Review Sheets for Test 2, Fall 2019 [pdf]

Test 2, Fall 2019 [pdf]

Solutions to Test 2, Fall 2019 [pdf]

Review Sheets for Test 3, Fall 2010 [pdf]

Test 3, Fall 2010 [pdf]

Solutions to Test 3, Fall 2010 [pdf]

Millionaire Game Rules [pdf]