Fundamental Theorems of Arithmetic

Learning tasks

A) Bézout's Theorem and Applications
1) Analyzing Bézout's Theorem and Identity	Ex 1 Ex 2 Ex 3 Ex 4 Ex 5 Ex 6
2) Finding Bézout Coefficients	Ex 7 Ex 8
3) Proving Integers are Coprime	Ex 9 Ex 10
4) Proving the Irreducibility of Fractions	Ex 11 Ex 12
B) Gauss's Theorem
5) Analyzing Gauss and Fermat Theorems	Ex 13 Ex 14 Ex 15 Ex 16 Ex 17 Ex 18
6) Proving Divisibility using Prime Properties	Ex 19 Ex 20 Ex 21 Ex 22
7) Solving GCD and Congruence Equations	Ex 23 Ex 24 Ex 25
8) Applying Fermat's Little Theorem	Ex 26 Ex 27 Ex 28 Ex 29

Lesson
Text book

Exercises Correction
A) Bézout's Theorem and Applications
    1) Analyzing Bézout's Theorem and Identity Ex 1 Ex 2 Ex 3 Ex 4 Ex 5 Ex 6
    2) Finding Bézout Coefficients Ex 7 Ex 8
    3) Proving Integers are Coprime Ex 9 Ex 10
    4) Proving the Irreducibility of Fractions Ex 11 Ex 12
B) Gauss's Theorem
    5) Analyzing Gauss and Fermat Theorems Ex 13 Ex 14 Ex 15 Ex 16 Ex 17 Ex 18
    6) Proving Divisibility using Prime Properties Ex 19 Ex 20 Ex 21 Ex 22
    7) Solving GCD and Congruence Equations Ex 23 Ex 24 Ex 25
    8) Applying Fermat's Little Theorem Ex 26 Ex 27 Ex 28 Ex 29