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Union College · Courses

MTH

59 courses with the subject MTH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.

MTH 051Cryptology: The Mathematics of Secrecy1.0

Course The course will focus on the mathematical aspects of public-key cryptography, the modern science of creating secret ciphers (codes), which is largely based on number theory. Additional topics will be taken from cryptanalysis (the science of breaking secret ciphers) and from contributions that mathematics can make to data security and privacy. Note: Not open to students who have passed (or have AP credit for) a college calculus course. CC: QMR ISP: STS

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2024-2025
Source
catalog.union.edu
MTH 056History of Mathematics1.0

Course Traces the development of mathematical ideas and methods in literate cultures from ancient Egypt and Mesopotamia, to Hellenistic Greece and medieval China, India and the Islamic world, up through the dawn of calculus at the start of the Scientific Revolution in early modern Europe. Topics include the interlinked changes and intercultural transmission of basic numeracy, arithmetic, geometry, trigonometry, algebra, practical computation and approximation, and concepts of the infinitely large and small. Note: Not open to students who have passed (or have AP credit for) a college calculus course. CC: QMR, JDQR ISP: STS

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 060Mathematics and Politics1.0

Course A mathematical treatment (not involving calculus or statistics) of escalation, political power, social choice, and international conflict. No previous study of political science is necessary, but PSC 111 or PSC 112 would be relevant. Note: Not open to students who have passed (or have AP credit for) a college calculus course. Cross- Listed: PSC 123 CC: QMR ISP: STS

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2024-2025
Source
catalog.union.edu
MTH 061Math in the Public Interest1.0

Course In what ways do advertisers, politicians, and other propagandists try to trick the public by exploiting our ignorance of or aversion to mathematical reasoning? This course explores key mathematical topics related to these questions, drawing on fields such as probability, statistics, combinatorics, mathematical modeling, and mathematical visualization. We will examine them in the context of contemporary public policy issues, such as climate change, demography, gambling, sports and public health. Note: Not open to students who have passed (or have AP credit for) a college calculus course. CC: QMR

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2024-2025
Source
catalog.union.edu
MTH 062Mathematics of Election and Polls1.0

Course One part of this course will cover polling, answering questions such as: were the 2016 U.S. Presidential election polls as inaccurate as often reported? What are margins of error, exactly? How many people must be surveyed for accurate results? Which people? To help answer these questions, the course will include background material on probability and statistics. Another part will be on voting theory, where we will look into designing elections from scratch, in search of the "best" system for converting the preferences of the voters into an election winner. This will lead to voting paradoxes and a discussion of Arrow's impossibility theorem. Throughout the course, we will draw on many examples of voting, such as the U.N. Security Council, the election of popes, the academy awards, infamous historical elections, and the U.S. presidential election. Additional topics will be chosen from gerrymandering, Congressional seat apportionment, and game theory. Note: Not open to students who have passed (or have AP credit for) a college calculus course. CC: QMR, GDQR

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 063Mathematics of Sustainability1

Course Sustainability addresses the idea of a global society founded on respect for nature, universal human rights, economic justice, and a culture or peace. It is of vital importance and will affect everyone. Mathematics is essential in identifying and analyzing the challenges. Through a sequence of sustainability and mathematical concepts, exercises, and projects, you will be brought along on this journey and confront global challenges to develop an understanding of the complex environmental, economic, and sociocultural interlinkages, and to empower yourself to

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 065Mathematics & Social Justice1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 067Math Methods for Digital Humanities1
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 076Mathematics and Democracy1

Course In this course, we will assess democracy through multiple perspectives, most centrally through mathematics. In particular, we will ask ourselves essential questions such as: How can we measure and quantify democracy? How can quantitative methods enable us to analyze the concepts of fairness and bias, and also, what are their limitations? How can (and should) math play a vital role in upholding the essential democratic tenets of access, participation, and human rights? Throughout the course, we will use mathematical notation and terminology to represent real-world issues. CC: QMR, JDQR

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 086Decoding Intelligence: Language, Logic, and the Global AI Race1
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 105Differential Calculus with Precalculus1.0

Course Differential calculus of functions of a single variable, supplemented with supporting precalculus. Limits, continuity, differentiation, and applications. CC: QMR ISP: ENS Note: Not intended for students with credits for MTH 059 ,MTH 110 , MTH 113 , MTH 110P or MTH 113P.

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 110Calculus 1: Differential Calculus1.0

Course Differential calculus of functions of a single variable. Limits, continuity, differentiation, computational aspects of Maclaurin and Taylor polynomials and series, and applications. Note: Not intended for students who have passed MTH 059 ,MTH 105 , MTH 113 , MTH 110P, or MTH 113P. CC: QMR ISP: ENS

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 112Calculus 2: Integral Calculus1.0

Course Integral calculus of functions of a single variable. The fundamental theorem, formal integration, several techniques of integration, and applications. Not open to students who have taken MTH 102 or MTH 112P. Prerequisite(s): One of MTH 105 , MTH 110 or MTH 110P. CC: QMR ISP: ENS Note: Not open to students with credit for MTH 113 or MTH 113P

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
One of MTH 105 , MTH 110 or MTH 110P. CQ: QMR ISP: ENS
MTH 113Accelerated Single-Variable Calculus1.0

Course Self-contained treatment of the main topics in MTH 110 and MTH 112. Intended for first-year students who have been introduced to (but have not yet mastered) the basics of differential and integral calculus. Note: Not open to students with credit for MTH 105 , MTH 110 , MTH 112 , MTH 112P, or MTH 113P. CC: QMR ISP: ENS

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 115Calculus 3: Differential Vector Calculus and Matrix Theory1.0

Course Geometry of 3-space, differential calculus of functions of several variables, linear systems, matrices. Note: Not open to students who have taken IMP 120 ,or IMP 121 . Prerequisite(s): MTH 112, or MTH 113 CC:

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 112 , or MTH 113 CQ: QMR
MTH 115HEnriched Differential Vector Calculus1
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 117Calculus 4: Integral Vector Calculus1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 115 or MTH 115H CQ: QMR
MTH 127Numerical Methods1.0

Course Newton's method, numerical differentiation and integration, solution of ordinary differential equations, error estimates. Prerequisite(s): MTH 115 and fluency in some mathematical programming language.

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2024-2025
Source
catalog.union.edu
MTH 128Probability1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
One of MTH 112 , MTH 113 , MTH 112P, MTH 113P, IMP 120, or IMP 121.
MTH 130Ordinary Differential Equations1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 115 , MTH 115H or IMP 121
MTH 140Applied Linear Algebra1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 115 , MTH 115H or IMP 121 .
MTH 197Discrete Mathematics for Computer Science1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 199Introduction to Logic and Set Theory1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
One of MTH 112 , MTH 113 , MTH 115 , MTH 115H, MTH 117 , IMP 120 or permission of the department chair. CQ: WAC, WAC-R
MTH 219Topics in Discrete Mathematics1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 199 or permission from the Chair.
MTH 221Mathematical Cryptology1.0

Course An in-depth look at the mathematical theory underlying modern methods to accomplish the secret transmission of messages, as well as other tasks related to data security, privacy, and authentication. Note: Not normally open to students who have passed MTH 235 or MTH 051. Prerequisite(s): MTH 199 or permission from the Chair. CC: GDQR ISP: STS Modern Languages in Translation

Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 199 or permission from the Chair. CQ: GDQR ISP: STS
MTH 224Geometry1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 199 or permission from the Chair.
MTH 227Financial Mathematics1
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
ECO 101 and MTH 112 or MTH 113 .
MTH 228Probability Theory1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 197 or MTH 199 and MTH 117 (MTH 117 can be taken concurrently), or permission from the Chair.
MTH 234Differential Equations1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 115 and MTH 199 , or permission from the Chair. Prereq/
Corequisite
Not open to students who have passed MTH 130 . CQ: GDQR
MTH 235Number Theory1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 199 or permission from the Chair. Prereq/
Corequisite
MTH 235 normally is closed to students who have passed MTH 221 .
MTH 237Numerical Analysis1
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 197 or MTH 199 and MTH 130 or MTH 234
MTH 238Methods of Applied Mathematics1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 130 or MTH 234 and MTH 197 or MTH 199
MTH 248Intermediate Topics in Mathematics1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 199 or permission from the Chair.
MTH 295HMathematics Honors Independent Project 10.0
Subject
MTH
Credits (min)
0
Credits (max)
0
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 296HMathematics Honors Independent Project 21.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 297HMathematics Honors Independent Project 3
Subject
MTH
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 325Knot Theory
Subject
MTH
Type
course
Edition
2024-2025
Source
catalog.union.edu
MTH 329Mathematical Statistics1
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 228
MTH 332Abstract Algebra 11.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
One of MTH 219 , MTH 221 , MTH 224 , MTH 228 , MTH 235 , MTH 248 or permission from the Chair.
MTH 334Partial Differential Equations1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Corequisite
MTH 234 or ( MTH 130 + MTH 199 ), or permission from the Chair.
MTH 336Real Analysis1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 332 or MTH 340 or permission from the Chair.
MTH 340Linear Algebra1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
One of MTH 115 , MTH 115H or IMP 121 and one of MTH 219 , MTH 221 , MTH 224 , MTH 228 , MTH 235 , MTH 248 , or permission from the Chair.
MTH 430Complex Analysis1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 117 and one 300-level MTH course or permission from the Chair.
MTH 432Abstract Algebra 21.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 332
MTH 436Topology1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
One 300-level MTH course or permission from the Chair.
MTH 437Real Analysis 21.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 336 and MTH 340 , or permission from the Chair.
MTH 448Differential Geometry1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
MTH 117 and MTH 340 , or permission from the Chair.
MTH 480Foundations of Mathematics
Subject
MTH
Type
course
Edition
2024-2025
Source
catalog.union.edu
MTH 487Senior Writing Seminar1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
Prerequisite
Admission by application only. CQ: WS
MTH 490Mathematics Independent Study 11.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 491Mathematics Independent Study 21.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 492Mathematics Independent Study 31.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 493Mathematics Independent Study 41.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 494Mathematics Independent Study 51.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 495Mathematics Independent Study 61.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 496Mathematics Independent Study 71.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 497Mathematics One Term Senior Thesis1.0
Subject
MTH
Credits (min)
1
Credits (max)
1
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 498Mathematics Two-Term Senior Thesis 10.0
Subject
MTH
Credits (min)
0
Credits (max)
0
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu
MTH 499Mathematics Two-Term Senior Thesis 22.0
Subject
MTH
Credits (min)
2
Credits (max)
2
Credit unit
Units
Type
course
Edition
2026-2027
Catalog
Academic Catalog 2026-2027
Source
catalog.union.edu

Source: Union College's catalog, linked per course · table learning_unit · CourseShelf publish 61