MATH 110: Introduction to Number Theory

Lecture Notes

Linear Diophantine Equations

Lecture 1 (Jan 9), Lecture 2 (Jan 11), Lecture 3 (Jan 13)

Prime Factorization

Lecture 4 (Jan 18), Lecture 5 (Jan 20)

Distribution of Primes and Arithmetic Functions

Lecture 6 (Jan 23), Lecture 7 (Jan 25)

Beyond Integers: Rationality, Algebraicity, and Diophantine Approximation

Lecture 8 (Jan 27), Lecture 9 (Feb 1), Lecture 10 (Feb 3), Lecture 11 (Feb 6)

Higher Diophantine Equations

Lecture 11 (Feb 6), Lecture 12 (Feb 8)

Modular World and Modular Dynamics

Lecture 12 (Feb 8), Lecture 13 (Feb 10)

Modular Exponential and Discrete Logarithm

Lecture 14 (Feb 13), Lecture 15 (Feb 15), Lecture 16 (Feb 17)

Polynomials modular $p$

Lecture 17 (Feb 22), Lecture 18 (Feb 24)

Assembling Modular Worlds

Lecture 19 (Mar 1), Lecture 20 (Mar 3)

Quadratic Residues

Lecture 21 (Mar 6), Lecture 22 (Mar 8), Lecture 23 (Mar 10), Lecture 24 (Mar 13)

Summarzing Lecture (Further Reading Suggestions)

Lecture 25 (Mar 15)