Instructor: Sam Evens, HH 222, email is sevens at nd dot edu, office phone number is 631-7165
Office Hours (in HH 222): M 1-1:50 and Tu 1-2, or by appointment (email me or talk to me to arrange a time to meet).
Text: Simon Singh, "The Code Book", Anchor
Mainly we use the lecture notes listed below (Units 1 to 19) as the text.
Course website: https://sites.google.com/nd.edu/s-evens/13187-spring-2025
Modular arithmetic calculator: does not divide
Midterm Exam Wednesday February 26, in-class, on material covered through February 19
Answers for review problems from midterm
Answers for review problems for final exam
Final Exam Wednesday May 7, 10:30 am-12:30 pm in DBRT 241
First writing assignment, mathematical autobiography
Group 1, from class 1-13, due 1-22
Group 2, from class 1-15, due 1-22
Group 3, from class 1-22, due 1-29
Group 4 from class 1-27, due 2-5
Group 5 from class 1-19, due 2-5
Second writing assignment, due Feb 10
Group 6, from class 2-3, due 2-12
Group 7 from class 2-5, due 2-12
Group 8 from class 2-10, due 2-19
Group 9, from class 2-10, due 2-19
Group 10 from class 2-17, due 2-26
Group 11 from class 2-19, due 2-26
Group 12 from class 2-24, due 3-5
Third writing assignment, due March 22,.
Group 13 from class 3-3, due 3-19
Group 14 from class 3-3, due 3-19
Group 15 from class 3-17, due 3-26
Group 16 from class 3-19, due 3-26
Group 17 from class 3-24, due 4-2
Group 18 from class 4-2, due 4-9
Group 19 from class 4-7, due 4-16
Group 20 from class 4-9, due 4-16
Group 21 from class 4-14, due 4-23
Group 22 from class 4-16, due 4-23
Group 23 from class 4-23, due 4-30
3-3 Course Notes on relative primality, Euler function
3-5 Course Notes, start of modular arithmetic
3-17 Course Notes, more on modular arithmetic
3-19 Course Notes on reciprocals
3-26 Course Notes: division and powers
4-7 Course Notes: theorems of Euler and Fermat
4-28 Course Notes: RSA Project
4-30 Topics for the final exam
Unit 1, counting numbers in sequences
Unit 2, Multiplication Principle in Counting
Unit 3, Subtraction Principle in Counting
Unit 11, introduction to modular arithmetic
Unit 13, Division in modular arithmetic
Unit 14, powers and Fermat's theorem
Unit 15, powers and Euler's theorem
Instructor: Sam Evens, HH 222, email is sevens at nd dot edu, office phone number is 631-7165
Office Hours (in HH 222): M 1-1:50 and Tu 1-2, or by appointment (email me or talk to me to arrange a time to meet).
Text: Simon Singh, "The Code Book", Anchor
Mainly we use the lecture notes listed below (Units 1 to 19) as the text.
Course website: https://sites.google.com/nd.edu/s-evens/13187-spring-2025
Modular arithmetic calculator: does not divide
Midterm Exam Wednesday February 26, in-class, on material covered through February 19
Answers for review problems from midterm
Answers for review problems for final exam
Final Exam Wednesday May 7, 10:30 am-12:30 pm in DBRT 241
First writing assignment, mathematical autobiography
Group 1, from class 1-13, due 1-22
Group 2, from class 1-15, due 1-22
Group 3, from class 1-22, due 1-29
Group 4 from class 1-27, due 2-5
Group 5 from class 1-19, due 2-5
Second writing assignment, due Feb 10
Group 6, from class 2-3, due 2-12
Group 7 from class 2-5, due 2-12
Group 8 from class 2-10, due 2-19
Group 9, from class 2-10, due 2-19
Group 10 from class 2-17, due 2-26
Group 11 from class 2-19, due 2-26
Group 12 from class 2-24, due 3-5
Third writing assignment, due March 22,.
Group 13 from class 3-3, due 3-19
Group 14 from class 3-3, due 3-19
Group 15 from class 3-17, due 3-26
Group 16 from class 3-19, due 3-26
Group 17 from class 3-24, due 4-2
Group 18 from class 4-2, due 4-9
Group 19 from class 4-7, due 4-16
Group 20 from class 4-9, due 4-16
Group 21 from class 4-14, due 4-23
Group 22 from class 4-16, due 4-23
Group 23 from class 4-23, due 4-30
3-3 Course Notes on relative primality, Euler function
3-5 Course Notes, start of modular arithmetic
3-17 Course Notes, more on modular arithmetic
3-19 Course Notes on reciprocals
3-26 Course Notes: division and powers
4-7 Course Notes: theorems of Euler and Fermat
4-28 Course Notes: RSA Project
4-30 Topics for the final exam
Unit 1, counting numbers in sequences
Unit 2, Multiplication Principle in Counting
Unit 3, Subtraction Principle in Counting
Unit 11, introduction to modular arithmetic
Unit 13, Division in modular arithmetic
Unit 14, powers and Fermat's theorem
Unit 15, powers and Euler's theorem