Mth 346 - Fall 2025

MTH 346 Number Theory
Fall 2025 - PSU Campus
Syllabus, Calendar, Discussion Group, Canvas

Section
(topics) By
(date) Read
(chapter) Practice
(discuss) Homework
(submit)

Part 1
Induction

and

Divisibility
9/29
10/1
10/3 §1.1 Induction (guide)
§1.2 Binomial Theorem (guide)
§2.1 Early Number Theory (guide) Practice 1
solutions HW 1
Due 10/8

10/6
10/8
10/10 §2.2 Division Algorithm (guide)
§2.3 Greatest Common Divisor (guide)
§2.4 Euclid's Algorithm (guide) Practice 2
solutions HW 2
Due 10/15

10/13
10/15
10/17 §2.5 Diophantus' Equations
§3.1 Prime Factorization
§3.2 Eratosthenes' Sieve

Exam One Weds
Oct 22
Emphasizes HW 1,2,3* (optional)

Part 2
Primes

and

Congruences

10/24
10/27
10/29 §3.3 Goldbach's Conjecture
§4.2 Basic Congruences
§4.3 Decimal Representations

11/3
11/5
11/7 §4.4 Sun-zi's Remainder Theorem
§5.2 Fermat's Little Theorem
§5.3 Wilson's Theorem

11/10
11/12
11/14 §5.4 Fermat's Factorizations
§6.1 Sigma and Tau Functions
§7.2 Euler's Phi Function

Exam Two Weds
Nov 19
Emphasizes HW 4,5,6* (optional)

Part 3
Special

Numbers
11/21
11/24 §7.3 Euler's Theorem
§8.1 Orders of Integers (mod n)

11/26
12/3 §8.2 Primitive Roots
§11.2 Perfect Numbers

Exam Three Weds
Dec 10
10:15-12:05 - Cumulative

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			MTH 346 Number Theory Fall 2025 - PSU Campus Syllabus, Calendar, Discussion Group, Canvas
Section (topics)	By (date)	Read (chapter)		Practice (discuss)	Homework (submit)
Part 1 Induction and Divisibility	9/29 10/1 10/3	§1.1 Induction (guide) §1.2 Binomial Theorem (guide) §2.1 Early Number Theory (guide)		Practice 1 solutions	HW 1 Due 10/8
	10/6 10/8 10/10	§2.2 Division Algorithm (guide) §2.3 Greatest Common Divisor (guide) §2.4 Euclid's Algorithm (guide)		Practice 2 solutions	HW 2 Due 10/15
	10/13 10/15 10/17	§2.5 Diophantus' Equations §3.1 Prime Factorization §3.2 Eratosthenes' Sieve
Exam One	Weds Oct 22	*Emphasizes HW 1,2,3 (optional)**
Part 2 Primes and Congruences	10/24 10/27 10/29	§3.3 Goldbach's Conjecture §4.2 Basic Congruences §4.3 Decimal Representations
	11/3 11/5 11/7	§4.4 Sun-zi's Remainder Theorem §5.2 Fermat's Little Theorem §5.3 Wilson's Theorem
	11/10 11/12 11/14	§5.4 Fermat's Factorizations §6.1 Sigma and Tau Functions §7.2 Euler's Phi Function
Exam Two	Weds Nov 19	*Emphasizes HW 4,5,6 (optional)**
Part 3 Special Numbers	11/21 11/24	§7.3 Euler's Theorem §8.1 Orders of Integers (mod n)
Part 3 Special Numbers	11/26 12/3	§8.2 Primitive Roots §11.2 Perfect Numbers
Exam Three	Weds Dec 10	10:15-12:05 - Cumulative