116 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 111Pre-Statistics and Modeling2
For students who wish to further their mathematical and problem- solving skills, with emphasis on questions relevant to statistics and finite mathematics. Students will: create and interpret data from graphs and tables; understand several representations of quantitative data and articular the connections among them; use and understand mathematical notation; model relationships in data with linear functions and graphs; apply basic counting principles to elementary discrete probability. Equivalent courses: ACSC 111, COLG 105K
A course to enrich the students' liberal arts education by presenting the spirit and some insights of mathematics. The course will emphasize understanding over techniques. Topics will illustrate the nature of contemporary mathematics and the relationship between mathematics and our cultural heritage. Some possible topics include: algorithms, exotic geometries, finance, map coloring, graphs, groups and mathematical modeling Equivalent courses: HONR 270B Attributes: Abstract Structures (AS), Thematic Encounter1/2 - Truth, Thematic Encounter1/2-Justice, Thematic Encounter1/2-Movement
MATH 114AIslamic Art: Where Geometry and Culture Meet4
This course combines classroom learning at CSB/SJU during CD mod and ends with an experiential component abroad. A course to enrich the students' liberal arts education by presenting the spirit and some insights of mathematics. The course will emphasize understanding over techniques. Topics will illustrate the nature of contemporary mathematics and the relationship between mathematics and our cultural heritage. Some possible topics include: algorithms, exotic geometries, finance, map coloring, graphs, groups and mathematical modeling. Inventory with a score of 25 or SAT Mathematics with a score of 470 or SAT R Math with a score of 470)
Properties of polynomial, trigonometric, exponential functions. For the student who needs further preparation for calculus. Prerequisites: three years of college preparatory mathematics. Equivalent courses: MATH 115Z
Preliminary concepts; derivatives, integrals and the concept of limit; application of differentiation and integration; calculus of several variables; exponentials, logarithms and growth problems. Other topics may include differential equations and probability theory. with a score of 530 or Quantitative Skills Inventory with a score of 25 or SAT Mathematics with a score of 530 or SAT R Math with a score of 530) Equivalent courses: MATH 123 Attributes: Abstract Structures (AS), Thematic Encounter1/2-Movement
' Additional Requirements: General Education Requirements: All undergraduate students must complete the requirements of the Integrations Curriculum (IC) which is designed to ensure all of our students receive a liberal arts education. Please review details of the Integrations Curriculum (p. 23) requirements here (p. 23). Graduation Requirements: In addition to the Integrations Curriculum, all undergraduate students must meet the following minimum degree requirements to earn their degree from CSB and SJU. Credits: 124 total credits, 40 of which must be from upper division coursework GPA: 2.0 or higher* Residency: At least 24 of your last 32 credits must be completed at CSB and SJU ours Please visit Graduation (p. 23) under the Academic Policies and Regulations (p. 14) portion of the catalog for additional details regarding 4 degree requirements. 4 * Cumulative GPA as well as major(s)/minor(s) GPA. Please note some majors/minors may require a higher GPA to earn their degree. Potential Plan of Study Course Title Hours
Basic concepts of sets, numeration, structure of number systems, arithmetic and algebraic operations, problem solving, and other topics to prepare students for elementary school mathematics teaching. Restrictions: Enrollment is limited to students with a major in Elementary Education. Attributes: Abstract Structures (AS)
Mathematics for students in the life, social and management sciences. Topics chosen from symbolic logic, set theory, combinatorial analysis, probability, linear equations, vectors, matrices, mathematics of finance, linear programming, Markov chains and matrix games. Inventory with a score of 25 or SAT Mathematics with a score of 530 or SAT R Math with a score of 530 or Stats & Modeling QSI with a score of 17 or MATH 111)
This course is an introduction to mathematical modeling based on the use of elementary functions to describe and explore real-world phenomena and data. Linear, exponential. Logarithmic and polynomial function models are examined closely and are applied to real-world data in course assignments. Students will study three main areas of modeling: optimization, dynamical systems and probability theory using discrete models and methods. Examples of topics covered may include Linear Programming, Population Growth, Mathematics of Finance, Regression (linear and non-linear), Probability distributions, and Markov Chains. Attributes: Abstract Structures (AS), Quantitative Reasoning (QR), Thematic Encounter1/2 - Truth
Topics to include sets, functions, other number bases, elementary number theory, rational and irrational numbers and problem solving strategies related to these topics. Intended for Elementary Education majors. who have completed Math 118, Math 119 or the equivalent, with a grade of C or better. Restrictions: Enrollment is limited to students with a major in Elementary Education. MATH 170AC Math Course (CIC) (3-5 Credits)
Total Hours 75-76 Optional 5-8 or K-8 Additional Licenses Elementary education majors may choose to complete additional licenses in grades 5-8 Communication Arts and Literature, Mathematics, General Science, a grades K-8 endorsement in World Language and Cultures in Spanish, and/or K-12 Teaching English as a Second Language. Consult with an Education Department advisor for additional information. Suggested Plan of Study Course Title Hours
or MATH 304 Foundations and Structures of Mathematics Minimum Grade and/or GPA for required courses: 2.50 GPA Minimum Cumulative GPA: 2.50 Admission to Teacher Education Students who want to major or minor in Education need to complete the Education Department’s admission process. Admission typically occurs during the sophomore year and is required for all students seeking an Elementary Education major and Secondary Education minor.
Supervised reading or research at the lower-division level. Permission of department chair required. Consult department for applicability towards major requirements. Not available to first-year students. CSBSJU Undergraduate Academic Catalog 2026-2027 363
This course will focus on techniques that will help you solve mathematics problems you have never seen before. The focus will be on heuristics and strategies, rather than new mathematical ideas. Focus Course. You must take a Cultural and Social Difference: Identity (CI) course prior to or at the same time as Thematic Focus Courses. Attributes: Abstract Structures (AS), Experiential Engagement (EX), Thematic Focus - Truth
MATH 304Foundations and Structures of Mathematics4
The basic theme of this course is mathematical thinking and writing. Emphasis will be placed on formulating and writing proofs. The course will cover topics in the following areas: logic, sets, relations, functions, counting, graph theory, infinite sets, algebraic structures and the real number system. Additional topics as time permits. Equivalent courses: MATH 241 Attributes: Abstract Structures (AS), Thematic Encounter3 - Truth
Topics selected from Geometry of Rn, differentiation in Rn, vector-valued functions, optimization, multiple integrals, line and surface integrals, vector analysis and introduction to differential forms. Fall.
Advanced level independent guided readings, discussions and written projects on the history of mathematics. , MATH 315 Applied Optimization (4 Credits) Topics selected from: linear programming, duality theory, dynamic and integer programming, graph-theoretic methods, stochastic processes, queuing theory, simulation, non-linear programming, PERT/CPM. Applications to social and natural sciences and business. Students will solve problems that involve real-world data.
The relationships among variables in real data sets will be explored through the theory and application of linear models. The focus of the course will be on building such models, assessing their adequacy, and drawing conclusions. Statistical computing programs will be used to analyze the data. Spring in even years.
Basic graph theory including trees, planarity, and vertex colorings. Additional topics at the discretion of the instructor. Recommended MATH 239 or 304 prior to enrollment. Spring in odd years.
Definitions and basic properties of sets and relations, groups, rings, ideals, integral domains, fields, algebras and applications. Spring and fal in even years. Restrictions: Students with the 2026-2027 Registration Cohort attribute may not enroll.
Foundations of geometry, study of axiom systems for finite geometries and Euclidean geometry, topics in synthetic geometry; introduction to hyperbolic and other geometries. Geometric transformation theory and classification of geometries by transformation groups. Attributes: Thematic Encounter3 - Truth
This course studies mathematical concepts underlying two pillars of modern information security: coding theory and cryptography. Both theoretical and practical aspects of those mathematical concepts will be addressed. Topics may include finite fields, error-correcting and error- detecting, linear codes, cyclic codes, probabilistic algorithms, Diffie- Hellmann schemes, RSA and elliptic curve schemes, post-quantum cryptography.
The concept of a solution, tangent fields, the existence and uniqueness theorem and its implications, elementary solution techniques, series and numerical solutions, linear equations and systems, Laplace transforms, applications. Spring. Attributes: Abstract Structures (AS), Thematic Encounter3 - Movement
Total Hours 32 Either ACFN 312 or ACFN 315 is required to be taken for the Finance Major in the common course section. You may choose to take the other one as an elective course in the Mathematical Finance concentration. Additional Requirements: General Education Requirements: All undergraduate students must complete the requirements of the Integrations Curriculum (IC) which is designed to ensure all of our students receive a liberal arts education. Please review details of the Integrations Curriculum (p. 23) requirements here (p. 23).
Mathematical modeling is the art of finding mathematical descriptions of real-world phenomena, with the goal of attaining a deeper understanding of those phenomena. The mathematical tools will vary according to the application. This course will cover both continuous and discrete mathematical models. Applications will be drawn from a variety of fields, such as population dynamics, economics, and physical sciences. Fall in odd years.
Traditional approaches to mathematical modelling in biology have relied l primarily on differential equations models. However, new approaches have and are being developed that rely instead on discrete methods, such as those coming from graph theory, polynomial manipulation and elementary linear algebra. For example, gene regulatory networks have been successfully modelled using Boolean logic. The spread of tick- borne diseases and methods of control have been well described using agent-based models. Graph theoretic models have been used to explore aspects of neuronal network connectivity. This course will survey a variety of discrete modelling approaches, including Boolean models, polynomial dynamical systems, graph theory, agent based modelling, and hidden Markov models. Emphasis will be on examples and applications, which will be drawn from various areas of biology, including problems in gene regulation, population dynamics and neuroscience. The necessary mathematical background will be included in the course. Equivalent courses: BIOL 373L
What’s so special about sine waves and to what extent can sound be broken into sine waves? Why does the modern scale have twelve notes and are there other (mathematical) possibilities? How does a violin produce sound, and why is it so different from the way a clarinet or a drum produces sounds? We will answer these and other questions regarding the connections between music and mathematics. Topics will include, but are not limited to, Fourier analysis, consonance and dissonance, modeling different types of instruments, scales, temperaments, and symmetry in music.
Geometric and algebraic thinking have been at the heart of mathematics throughout its 4000 year history. While other courses mention what previous mathematicians accomplished, they too rarely consider how those mathematicians approached the mathematics. We will delve into translations of original mathematical texts, seeking to understand how mathematics developed. Some past insights turned out to be dead ends, some needed centuries to bear fruit. Our sources will range from problems found in Babylonian clay tablets to Archimedes’ elegant proofs on to Descartes’ fusion of algebra and geometry and beyond, with many stops on the way. An historical approach can provide insight to all mathematics majors and will especially benefit future high school teachers.
One of the better jokes about Knot theory is that students enjoy it because it’s “not theory”! But if it’s “not theory” what is it? Knot theory is a relatively new branch of mathematics with historical roots reaching back to the late nineteenth century. The main project of Knot Theory is to devise mathematical tests for distinguishing one knot from another. Investigators in knot theory use ideas and techniques from several important branches of mathematics--primarily topology, algebra and combinatorics--to get some insight into the fundamental classification problem. In this course our first task will be to devise a careful definition of a knot; the rest of the course will be devoted to learning about various properties of knots and practicing the various mathematical techniques which are used to describe and distinguish them. Toward the end of the course we’ll take time to learn about some of the current applications of knot theory in biology, chemistry and physics.
The game LIGHTS OUT! is played on a 5 × 5 square grid of buttons; each button may be on or off. Given an initial configuration of buttons that are on, the object of the game is to turn all the lights out. Pressing a button changes the on/off state of the button pressed and of all its vertical and horizontal neighbors. In this course, we will explore topics in graph theory and linear algebra to help us investigate the game applied to graph families such as paths, cycles, and complete graphs before looking at the game applied to Cartesian Product graphs. Finally, we will explore a graph family that the game has never been applied to.
Students will work in groups on a problem from the industrial, government, or non-profit sector. Contact instructor regarding prerequisites and enrollment.
Set theory, real numbers, topology of Cartesian spaces, Heine-Borel Theorem, sequences, series, convergence, continuity, differentiation, integration. Spring and fall in odd years. Restrictions: Students with the 2025-2026 Registration Cohort or 2026-2027 Registration Cohort attributes may not enroll.
Topics selected from the following: mapping theorems and extremum problems, Riemann-Stieltjes integral, main theorems of integral calculus, point set topology, Lebesque integral, functions defined by integrals, convergence theorems.
or MATH 346Mathematical Statistics II Total Hours 48 Students may not take all CSCI courses or all Math courses; may not overlap with required courses. One domain course outside CSCI/ MATH could replace an elective if taken in a sequence; requires chair approval. Other: Student may not minor in data analytics. Students may not double major in Data Science and either Mathematics or Computer Science. urs Additional Requirements: General Education Requirements: 4 All undergraduate students must complete the requirements of the Integrations Curriculum (IC) which is designed to ensure all of our students receive a liberal arts education. Please review details of the Integrations Curriculum (p. 23) requirements here (p. 23). Graduation Requirements: In addition to the Integrations Curriculum, all undergraduate students must meet the following minimum degree requirements to earn their degree from CSB and SJU. Credits: 124 total credits, 40 of which must be from upper division coursework GPA: 2.0 or higher* Residency: At least 24 of your last 32 credits must be completed at CSB urs and SJU Please visit Graduation (p. 23) under the Academic Policies and Regulations (p. 14) portion of the catalog for additional details regarding 4 degree requirements. * Cumulative GPA as well as major(s)/minor(s) GPA. Please note some majors/minors may require a higher GPA to earn their degree. Suggested Plan of Study Course Title Hours
Topics selected from the following: sampling, order statistics, Monte Carlo methods, asymptotic efficiencies, maximum likelihood techniques, inference, multivariate normal, analysis of variance, regression, correlation. Spring in odd years.
Topics will generally include properties of complex numbers; complex functions and their derivatives; analyticity; Cauchy’s Theorem and related results; series representations of functions; contour integration and the theory of residues. Additional topics at the discretion of the instructor. Spring in even years.
Group 2 Mathematical Finance Elective 4 Integrations Requirement (BN) 4 Total Hours 129 ing Integrations Curriculum Requirements The standard requirements for the Finance - Mathematics major will fulfill the following integrations requirements: AS, QR, SW. Depending on elective course selection, it can fulfill other requirements as well. Please see below for a list of integrations requirements you will need to satisfy Hours via elective courses.
This course is the mathematical study of games. We will consider two types of games in this course: combinatorial and strategic interaction. Examples of combinatorial games are chess, Go, tic-tac-toe, and Nim, whereas the standard example of a strategic interaction is the prisoner's dilemma. Much of the focus will be determining the best strategy for a game, and then providing an explanation about why that strategy is, in fact, the best.
Supervised reading or research at the upper-division level. Permission of department chair and completion and/or concurrent registration of 12 credits within the department required. Consult department for applicability towards major requirements. Not available to first-year students.
Critical analysis of readings or topics and/or an in-depth investigation leading to a project. The course will be structured as a seminar. The instructor will select the subject matter. Students will present and discuss the material of the course, and complete regular assignments (short papers or problem sets).
