MATH225

MODERN ALGEBRA I

Also listed under 1 other title

Modern Algebra I

Department: Mathematics
Terms offered: 31
Data refreshed: Jun 30, 2026

Description

In the 19th century, Kummer introduced "ideal numbers" to salvage unique factorization of integers into primes (which breaks down in some rings of algebraic integers). This course discusses unique factorization and the modern theory of rings and their ideals, emphasizing Euclidean domains. Other algebraic structures (groups, fields) also are introduced. Required for all mathematics majors.

Syllabi

Offering history & forecast 2015–2025

Forecast

1995

2025

Sections offered by academic year and season, with estimated offering chances for future years above the divider
Year	Fall	Spring	Summer	Intersession
2030	2030 Fall: 45% chance, medium confidence. Offered in 8 of 9 fall terms since 2018. Department course count falling about 6% per year.	2030 Spring: 7% chance, medium confidence. Offered in 0 of 9 spring terms since 2018.	2030 Summer: 7% chance, medium confidence. Offered in 0 of 9 summer terms since 2018.	2030 Intersession: 8% chance, medium confidence. Offered in 0 of 6 intersession terms since 2020.
2029	2029 Fall: 49% chance, medium confidence. Offered in 9 of 10 fall terms since 2017. Department course count falling about 6% per year.	2029 Spring: 6% chance, medium confidence. Offered in 0 of 10 spring terms since 2017.	2029 Summer: 6% chance, medium confidence. Offered in 0 of 10 summer terms since 2017.	2029 Intersession: 7% chance, medium confidence. Offered in 0 of 7 intersession terms since 2017.
2028	2028 Fall: 52% chance, medium confidence. Offered in 10 of 11 fall terms since 2016. Department course count falling about 4% per year.	2028 Spring: 5% chance, medium confidence. Offered in 0 of 11 spring terms since 2016.	2028 Summer: 5% chance, medium confidence. Offered in 0 of 11 summer terms since 2016.	2028 Intersession: 7% chance, medium confidence. Offered in 0 of 7 intersession terms since 2017.
2027	2027 Fall: 56% chance, medium confidence. Offered in 11 of 12 fall terms since 2015. Department course count falling about 3% per year.	2027 Spring: 5% chance, high confidence. Offered in 0 of 12 spring terms since 2015.	2027 Summer: 5% chance, high confidence. Offered in 0 of 12 summer terms since 2015.	2027 Intersession: 6% chance, medium confidence. Offered in 0 of 7 intersession terms since 2017.

2025	1 section	Not offered	Not offered	Not offered
2024	1 section	Not offered	Not offered	Not offered
2023	1 section	Not offered	Not offered	Not offered
2022	1 section	Not offered	Not offered	Not offered
2021	1 section	Not offered	Not offered	Not offered
2020	1 section	Not offered	Not offered	Not offered
2019	1 section	Not offered	Not offered	No data for this term
2018	1 section	Not offered	Not offered	No data for this term
2017	1 section	Not offered	Not offered	Not offered
2016	1 section	Not offered	Not offered	No data for this term
2015	1 section	Not offered	Not offered	No data for this term

Forecast Under 15% 15–39% 40–69% 70–89% 90%+ Not enough history

Fall Spring Summer Intersession Darker means more sections Not offered No data for term

Future estimates combine recent offering frequency with detected multi-year cycles. Hover a cell for confidence and evidence; low-confidence estimates are marked with ~.

Meeting times

Most recent first

Tue, Thu, 10:25 AM–11:40 AM BP316 20252003
Tue, Fri, 2:50 PM–4:05 PM BP316 2011201020092007
Mon, Wed, Fri, 9:00 AM–9:50 AM BP326 2008
Mon, Thu, 1:25 PM–2:40 PM BP316 2007
Tue, Fri, 1:25 PM–2:40 PM BP321 2005
Tue, Thu, 9:00 AM–10:15 AM JC206 2004
Tue, Thu, 11:50 AM–1:05 PM Sackler Science Center N217 2002
Mon, Wed, Fri, 10:00 AM–10:50 AM JC106 200119961995

2025–26 1 entry

Credit-bearing sections of MATH225, 2025–26
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2025	Ali Maalaoui	Lecture	1	19 of 25 enrolled	20033

2024–25 1 entry

Credit-bearing sections of MATH225, 2024–25
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2024	Ali Maalaoui	Lecture	1	9 of 25 enrolled	20033

2023–24 1 entry

Credit-bearing sections of MATH225, 2023–24
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2023	Gideon Bahir-Maschler	Lecture	1	5 of 25 enrolled	20033

2022–23 1 entry

Credit-bearing sections of MATH225, 2022–23
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2022	Gideon Bahir-Maschler	Lecture	1	4 of 25 enrolled	20033

2021–22 1 entry

Credit-bearing sections of MATH225, 2021–22
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2021	Gideon Bahir-Maschler	Lecture	1	19 of 25 enrolled	20171

2020–21 1 entry

Credit-bearing sections of MATH225, 2020–21
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2020	Robert O. Ream	Lecture	1	24 of 25 enrolled	20171

2019–20 1 entry

Credit-bearing sections of MATH225, 2019–20
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2019	Gideon Bahir-Maschler	Lecture	1	12 of 24 enrolled	20171

2018–19 1 entry

Credit-bearing sections of MATH225, 2018–19
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2018	Gideon Bahir-Maschler	Lecture	1	18 of 25 enrolled	20171

2017–18 1 entry

Credit-bearing sections of MATH225, 2017–18
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2017	David E. Joyce	Lecture	1	22 of 25 enrolled	20171

2016–17 1 entry

Credit-bearing sections of MATH225, 2016–17
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2016	Lawrence E. Morris	Lecture	1	16 of 25 enrolled	20171

2015–16 1 entry

Credit-bearing sections of MATH225, 2015–16
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2015	Lawrence E. Morris	Lecture	1	9 of 25 enrolled	20171

2014–15 1 entry

Credit-bearing sections of MATH225, 2014–15
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2014	Lawrence E. Morris	Lecture	1	16 of 25 enrolled	20171

2013–14 1 entry

Credit-bearing sections of MATH225, 2013–14
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2013	Lawrence E. Morris	Lecture	1	21 of 25 enrolled	20171

2012–13 1 entry

Credit-bearing sections of MATH225, 2012–13
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2012	Hemant Pendharkar	Lecture	1	18 of 25 enrolled	20171

2011–12 1 entry

Credit-bearing sections of MATH225, 2011–12
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2011	Lawrence E. Morris	Lecture	1	9 of 25 enrolled	20171

2010–11 1 entry

Credit-bearing sections of MATH225, 2010–11
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2010	Lawrence E. Morris	Lecture	1	13 of 20 enrolled	27183

2009–10 1 entry

Credit-bearing sections of MATH225, 2009–10
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2009	Lawrence E. Morris	Lecture	1	10 of 20 enrolled	24863

2008–09 1 entry

Credit-bearing sections of MATH225, 2008–09
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2008	David E. Joyce	Lecture	1	10 of 20 enrolled	24863

2007–08 1 entry

Credit-bearing sections of MATH225, 2007–08
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2007	Lawrence E. Morris	Lecture	1	10 of 25 enrolled	24863

2006–07 1 entry

Credit-bearing sections of MATH225, 2006–07
Term	Professor	Type	Credits	Enrollment	CRN
Spring 2007	John F. Kennison	Lecture	1	17 of 25 enrolled	35286

2005–06 1 entry

Credit-bearing sections of MATH225, 2005–06
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2005	Lawrence E. Morris	Lecture	1	10 of 25 enrolled	20432

2004–05 1 entry

Credit-bearing sections of MATH225, 2004–05
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2004	John F. Kennison	Lecture	1	7 of 25 enrolled	20432

2003–04 1 entry

Credit-bearing sections of MATH225, 2003–04
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2003	David E. Joyce	Lecture	1	7 of 25 enrolled	20432

2002–03 1 entry

Credit-bearing sections of MATH225, 2002–03
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2002	Lawrence E. Morris	Lecture	1	11 of 30 enrolled	24041

2001–02 1 entry

Credit-bearing sections of MATH225, 2001–02
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2001	David E. Joyce	Lecture	1	10 of 30 enrolled	24041

2000–01 1 entry

Credit-bearing sections of MATH225, 2000–01
Term	Professor	Type	Credits	Enrollment	CRN
Fall 2000	David E. Joyce	Lecture	1	5 of 30 enrolled	24041

1999–00 1 entry

Credit-bearing sections of MATH225, 1999–00
Term	Professor	Type	Credits	Enrollment	CRN
Fall 1999	Lawrence E. Morris	Lecture	1	6 of 35 enrolled	24041

1998–99 1 entry

Credit-bearing sections of MATH225, 1998–99
Term	Professor	Type	Credits	Enrollment	CRN
Spring 1999	James Derr	Lecture	1	10 of 35 enrolled	33668

1997–98 1 entry

Credit-bearing sections of MATH225, 1997–98
Term	Professor	Type	Credits	Enrollment	CRN
Fall 1997	John F. Kennison	Lecture	1	9 of 35 enrolled	20323

1996–97 1 entry

Credit-bearing sections of MATH225, 1996–97
Term	Professor	Type	Credits	Enrollment	CRN
Fall 1996	Lawrence E. Morris	Lecture	1	5 of 35 enrolled	20323

1995–96 1 entry

Credit-bearing sections of MATH225, 1995–96
Term	Professor	Type	Credits	Enrollment	CRN
Fall 1995	Lawrence E. Morris	Lecture	1	5 of 35 enrolled	20323

MATH225

Description

Syllabi

Offering history & forecast 2015–2025 Sections Section Count Demand Enrollment Demand Forecast

Meeting times

Offering history & forecast 2015–2025

Forecast