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Houghton University · Courses

MATH

25 courses with the subject MATH, 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.

MATH 114Mathematical Concepts and Reasoning4

Total in minor electives 5–7 An Education minor may be chosen by students who wish to broaden their understanding of the educational process, yet are not seeking certification.

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2025-2026
Source
www.houghton.edu
MATH 141Mathematical Explorations2

2–4 DSCI 151 Data Science for Beginners (3)

Subject
MATH
Credits (min)
2
Credits (max)
2
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 170/171 or 161 or evidence of adequate

math preparation)

Subject
MATH
Type
course
Edition
2025-2026
Source
www.houghton.edu
MATH 171Calculus I with Precalculus B

4-S Together with MATH 170 Calculus I with Precalculus A, this course covers all the material of MATH 181 Calculus I with integrated treatment of precalculus topics. Expected calculus topics include applications of derivatives including optimization, curve- sketching, and the Mean Value Theorem; introduction to integration, including the Fundamental Theorem of Calculus, computation of areas, and the technique of substitution; and calculus of transcendental functions. Precalculus topics to support these will be addressed as needed. Students who complete this course with a C have fulfilled the prerequisite for Calculus II. Fulfills General Education Abstract and Quantitative Reasoning requirement. Liberal Arts. Prerequisite: MATH 170.

Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 172Calculus and Problem Solving2

2-F Covers the skills and conceptual foundations necessary for success in Calculus II, with a broader focus on mathematical problem solving. Fulfills General Education Abstract and Quantitative Reasoning requirement. Liberal Arts. Prerequisite: MATH 171 or 181, or previous experience with calculus and permission of instructor.

Subject
MATH
Credits (min)
2
Credits (max)
2
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 181Calculus I4

Total 12 Psychology Electives Credits Choose one class from the list below in consultation with your advisor:

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2025-2026
Source
www.houghton.edu
MATH 182Calculus II4

MATH 225 Multivariate Calculus or MATH 241 Differential Equations 4

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2025-2026
Source
www.houghton.edu
MATH 210Introduction to Proofs2

MATH/CSCI 214 Discrete Mathematics 2 Total 8–12 Core Requirements Credits

Subject
MATH
Credits (min)
2
Credits (max)
2
Type
course
Edition
2025-2026
Source
www.houghton.edu
MATH 214Discrete Mathematics

2-F26 Introduction to discrete mathematical topics: equivalence relations, partial orders, functions, recurrence relations, counting, introduction to probability, graphs, and introduction to algorithm analysis. Liberal Arts. Prerequisite: MATH 210

Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 225Multivariate Calculus4

4-F25 Space geometry, vectors, vector functions, functions of several variables, partial differentiation, and multiple integration. Liberal Arts. Prerequisite: MATH 181

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2025-2026
Source
www.houghton.edu
MATH 241Differential Equations4

4-F26 Methods of solution and applications of principle types of differential equations. Liberal Arts. Prerequisite: MATH 182

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2025-2026
Source
www.houghton.edu
MATH 261Linear Algebra4

GBS 212/POLS 212/SOC 312 Social Science Research Methods 3

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2025-2026
Source
www.houghton.edu
MATH 325Real Analysis I4

4-S27 Develops a rigorous foundation for the fundamental topics covered in calculus: sequences and series, continuity, differentiability, integrability, and convergence based on limits and the axioms of the real number system. Liberal Arts. Prerequisites: MATH 182, 210, 261

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2025-2026
Source
www.houghton.edu
MATH 333Probability and Statistics I

4-WSP Introduces discrete and continuous probability, including conditional probability, random variables, independence, Bayes’ Theorem, expected value, variance, distributions, and the Central Limit Theorem. Using the probability covered in the first half of the semester, also covers some of the main topics of mathematical statistics, including statistical hypothesis testing, errors, correlation, regression equations, and analysis of variance. Liberal Arts. Prerequisite: MATH 182.

Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 351Modern Geometries

4-WSP A survey of geometry including advanced Euclidean geometry and an introduction to non-Euclidean geometries. Liberal Arts.

Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
Prerequisite
MATH 210
MATH 361Abstract Algebra I4

4-S26 An introduction to groups, subgroups, homomorphisms and isomorphisms, rings, fields, and ideals with a focus on developing skills in problem solving, communicating mathematics, and proof writing. Liberal Arts.

Subject
MATH
Credits (min)
4
Credits (max)
4
Type
course
Edition
2025-2026
Source
www.houghton.edu
Prerequisite
MATH 210, 261.
MATH 380Mathematics Research Seminar

1-F Introduces students to the experience of mathematics research. Each student is part of a team working with a faculty member on an open problem. May be repeated multiple times for credit. Liberal Arts. Prerequisite: MATH 210 MATH 391, 392, 491, 492 Independent Study 1, 2, 3, or 4-WSP Prerequisites may apply. Liberal Arts.

Subject
MATH
Type
course
Repeatable
May be repeated multiple times for credit.
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 393Summer Collaborative Research in
Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 425Real Analysis II

2–4-WSP Covers selected topics from real and functional analysis, building on the foundation from Real Analysis I. Liberal Arts. Prerequisite: MATH 325

Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 433Probability and Statistics II

2–4-WSP Covers topics selected from parametric and nonparametric hypothesis testing, ANOVA, partial and multiple correlation methods, regression, curve fitting, and Monte Carlo simulation. Liberal Arts. Prerequisite: MATH 333

Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 452Point Set Topology

4-WSP Open and closed sets. Connected, compact, and metric topological spaces. Liberal Arts.

Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
Prerequisite
MATH 210, 261
MATH 461Abstract Algebra II

2–4-WSP Continuation of material from Abstract Algebra I. Topics may include advanced group theory and ring theory, Sylow theorems, modules and vector spaces, Galois theory, and finite fields. Liberal Arts. Prerequisite: MATH 361

Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 471Complex Analysis

4-WSP Complex number system, limits, differentiation and integration in the complex plane, and complex series. Liberal Arts. Prerequisites:

Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu
MATH 482Senior Capstone: Mathematics Seminar2

Mathematics electives* (above 210): At least 4 credits must be at 300 or 400 level 12 Total 32 Total in major 36–40 Often, Math majors will take more math courses than the minimum requirements. This is strongly recommended for those planning to attend graduate school. *It is recommended that teachers of math choose MATH 333 Probability and Statistics I or MATH 351 Modern Geometries.

Subject
MATH
Credits (min)
2
Credits (max)
2
Type
course
Edition
2025-2026
Source
www.houghton.edu
MATH 496Honors in Mathematics

4-WSP Liberal Arts.

Subject
MATH
Type
course
Edition
2025-2026-graduate
Source
www.houghton.edu

Source: Houghton University's catalog, linked per course · table learning_unit · CourseShelf publish 61