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Fitchburg State University · Courses

MATH

52 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 0300Quantitative Preparation

3 (institutional) Credit(s) Offered: every semester This course covers quantitative and analytic skills needed for students to successfully complete college credit bearing mathematics, science, and technical courses that do not rely heavily on algebraic techniques. Students will complete on-line modules in a self-paced supported classroom environment covering: different representations of numbers, basic algebra, basic statistics, basic geometry, graphing and solving linear equations/inequalities, exponents and radical expressions. This course will have five contact hours each week.

Subject
MATH
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
MATH 0500Algebraic Preparation

3 (institutional) Credit(s) Offered: every semester This course covers quantitative and analytic skills needed for students to successfully complete college credit bearing mathematics, science, and technical courses that rely heavily on algebraic techniques. Students will complete on-line modules in a self-paced supported classroom environment covering different representations of numbers, basic algebra, graphing and solving linear equations/inequalities, exponents and radical expressions, polynomial expressions, and equations (including factoring). This course will have five contact hours each week.

Subject
MATH
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
MATH 1100Mathematics in Society3

Credit(s) Offered: every semester Mathematics in Society is a rigorous mathematics course designed for students in non-STEM majors. It provides a solid foundation in quantitative reasoning, critical thinking, and problem solving in a socially relevant context. Students use mathematics to understand and develop realistic solutions to issues of social, political and economic interest.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Adjusted high school GPA of 2.7 or higher (associated with a high school graduation no more than two years from semester of enrollment) OR passing score on Quantitative and Analytical Skills or Advanced Algebra and Functions Accuplacer placement exam OR successful completion of MATH 0300 [Quantitative Prep.] or MATH 0500 [Algebraic Prep.] OR successful completion of a credit bearing mathematics course Meets
MATH 1200Finite Mathematics3

Credit(s) Offered: every semester In this course a variety of discrete mathematical models are developed and applied to business and to the social and life sciences. Topics covered are chosen from matrices, linear programming, probability, financial models and game theory.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Mathematics Readiness Requirement .
MATH 1250Introduction to Functions3

Credit(s) Offered: every semester This course provides a study of mathematical functions, graphing techniques, and applications. The functions covered in the class are linear, quadratic, polynomial, rational, exponential and logarithmic. Cross-listed with MATH 1300

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Adjusted high school GPA of 2.7 or higher (associated with a high school graduation no more than two years from semester of enrollment) OR passing score on Advanced Algebra and Functions Accuplacer placement exam OR successful completion of MATH 0500 [Algebraic Prep.]
MATH 1300Precalculus4

Credit(s) Offered: every semester This course prepares students for the study of calculus. Topics covered include real numbers, equations and inequalities and analytic geometry, as well as polynomial, rational, trigonometric, exponential and logarithmic functions. Cross-listed with MATH 1250

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
A passing score on Advanced Algebra and Functions Accuplacer placement exam OR successful completion of MATH 0500 [Algebraic Prep.]
MATH 1500Informal Number Theory3

Credit(s) Offered: every semester Informal Number Theory focuses on the properties of the real numbers as the foundation of arithmetic and problem solving methods. The importance of place value in number systems, fractions as numbers, divisibility properties, connections between numbers and geometry, and problem solving in various contexts will be stressed.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
A passing score on Advanced Algebra and Functions Accuplacer placement exam OR successful completion of MATH 0500 , MATH 1250 , or MATH 1300
MATH 1600Informal Mathematical Modeling3

Credit(s) Offered: every semester This course will cover relations, patterns and functions using multiple representations and focusing on the manner in which these concepts connect to mathematical ideas specified in the Massachusetts Mathematics Curriculum Frameworks. Sequences and linear and quadratic functions will be covered in depth and some basic statistics will be included as well. Applications will be emphasized throughout the course. Topics chosen from the following will be included as time permits: basic probability, applications of exponential and logarithmic functions.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 1500 or equivalent
MATH 1700Applied Statistics3

Credit(s) Offered: every semester Methods of data collection, organization and interpretation, sampling, probability, estimation, and testing are applied to areas including biology, business, medicine, economics and education. Cross-listed with MATH 1800

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Adjusted high school GPA of 2.7 or higher (associated with a high school graduation no more than two years from semester of enrollment) OR passing score on Quantitative and Analytical Skills or Advanced Algebra and Functions Accuplacer placement exam OR successful completion of MATH 0300 [Quantitative Prep.] or MATH 0500 [Algebraic Prep.] OR successful completion of a credit bearing mathematics course
MATH 1800Business Statistics3

Credit(s) Offered: every semester Topics covered in this course include descriptive methods, probability distributions, estimation, testing, analysis of variance and regression analysis. Cross-listed with MATH 1700

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Adjusted high school GPA of 2.7 or higher (associated with a high school graduation no more than two years from semester of enrollment) OR passing score on Quantitative and Analytical Skills or Advanced Algebra and Functions Accuplacer placement exam OR successful completion of MATH 0300 [Quantitative Prep.] or MATH 0500 [Algebraic Prep.] OR successful completion of a credit bearing mathematics course
MATH 1850Freshman Seminar in Mathematics1

Credit(s) Offered: every other year This course will consist of a series of talks given by members of the Mathematics community (either in academia or industry) demonstrating authentic mathematics with preparatory and follow-up work. The goal of the course is to present students with real-world applications of mathematics, research fields in mathematics, and pique their interests. It will introduce students to possible areas of study, careers, and the mathematics used in the talks. They are also introduced to background mathematics that will be used in the talks, which will give them motivation for a thorough grounding in mathematics.

Subject
MATH
Credits (min)
1
Credits (max)
1
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
MATH 1900Discrete Mathematics3

Credit(s) Offered: Fall. Offered as CSC 1900 in Spring. This course introduces discrete mathematics as applied to computer science. Topics covered include Boolean logic, elementary set theory, functions, relations, enumeration, proof techniques, number systems and trees. Cross-listed with CSC 1900

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Advanced passing score on Advanced Algebra and Functions Accuplacer placement exam OR MATH 1250 or MATH 1300
MATH 2000Informal Geometry3

Credit(s) Offered: every semester This course involves an intuitive study of basic geometry and its concepts. Topics include: symmetry, properties of polyhedra, properties of circles and polygons, measurement and scaling.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Adjusted high school GPA of 2.7 or higher (associated with a high school graduation no more than two years from semester of enrollment) OR passing score on Quantitative and Analytical Skills or Advanced Algebra and Functions Accuplacer placement exam OR successful completion of MATH 0300 [Quantitative Prep.] or MATH 0500 [Algebraic Prep.] OR successful completion of a credit bearing mathematics course
MATH 2005Game Theory3

Credit(s) Offered: Spring Game Theory aims to investigate and understand the manner in which people interact when they have complimentary or conflicting interests. This class is designed to be an introduction to game theory and strategic interactions with cases drawn from economics, business, politics, psychology and international studies. Cross-listed with ECON 2005

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Adjusted high school GPA of 2.7 or higher (associated with a high school graduation no more than two years from semester of enrollment) OR passing score on Quantitative and Analytical Skills or Advanced Algebra and Functions Accuplacer placement exam OR successful completion of MATH 0300 [Quantitative Prep.] or MATH 0500 [Algebraic Prep.] OR successful completion of a credit bearing mathematics course Meets
MATH 2100Technical Calculus3

Credit(s) Offered: Spring Technical Calculus covers topics, such as limit and continuity, which support the concept of a derivative or an instantaneous rate of change. After the study of Isaac Newton’s derivative, the limit definition of the derivative, and techniques of differentiation, Technical Calculus introduces applications of derivatives with special attention to building, planning and architecture. Cross-listed with MATH 2200 and MATH 2300

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
An advanced passing score on Advanced Algebra and Functions Accuplacer placement exam OR a grade of 1.7 or higher in MATH 1300
MATH 2200Calculus for Business3

Credit(s) Offered: every semester This course surveys methods and applications of the calculus for functions of one variable, which are useful in business and economics. Topics include differentiation with applications to rates and maximum and minimum values, integration techniques with applications to areas, cost and rates. Cross-listed with MATH 2100 and MATH 2300

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
An advanced passing score on Advanced Algebra and Functions Accuplacer placement exam ORa grade of 1.7 or higher in MATH 1250 or MATH 1300
MATH 2300Calculus I4

Credit(s) Offered: every semester This course involves the study of the derivative of a function, methods of differentiation and applications, L’Hospital’s Rule, integration of functions, the Fundamental Theorem of Calculus, and the substitution rule.

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
An advanced passing score on Advanced Algebra and Functions Accuplacer placement exam OR a grade of 1.7 or higher in MATH 1300
MATH 2400Calculus II4

Credit(s) Offered: every semester This course involves the study of techniques of integration, applications of integrals, infinite sequences and series, power series, Taylor series.

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
1.7 or higher in MATH 2300 or its equivalent Meets
MATH 2500Introduction to Mathematical Thought3

Credit(s) Offered: Fall The course is intended to introduce mathematics as the science of reasoning. Topics covered include elementary set theory, logic, mathematical induction, axiomatic systems and techniques of proof with applications in areas such as number theory, equivalence relations, modular arithmetic, function properties and graph theory.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 1300 or its equivalent Meets
MATH 2550Symbolic Computational Mathematics3

Credit(s) Offered: Spring This course will introduce students to a computer algebra system (CAS), a crucial tool for modern mathematicians, scientists and engineers. Students will learn how to effectively use a CAS in solving mathematical problems from Precalculus and Calculus.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
MATH 2600Linear Algebra3

Credit(s) Offered: every semester In this course topics covered include the application of vector spaces, linear transformations and matrices.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2300 Meets
MATH 2800Introduction to Statistical Analysis3

Credit(s) Offered: every semester This course introduces data collection, analysis, and interpretation through descriptive statistics, regression analysis, and inferential statistics. Students will explore parameter estimation and hypothesis testing through both simulation methods and classical mathematical models. Students will write short computer programs and use statistical software to do these analyses in reproducible ways.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Grade of 1.7 or higher in MATH 1250 or MATH 1300
MATH 3000Geometry3

Credit(s) Offered: as needed The course involves a formal study of basic concepts in geometry and the foundations of Euclidean and non-Euclidean geometry. This course is for mathematics majors or minors and students with a mathematics specialization, all others need permission from the instructor.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2500 or MATH 2600 Meets
MATH 3001Scientific Computation and Visualization3

Credit(s) Offered: every other year Numerical methods and computer visualization is playing an increasingly important role in science and mathematics. In this course we will look at mathematical problems that arise in which algorithms can give insight in the solutions to problems or producing graphs or other visual representations of data can aid in the understanding of problems. Students will write short computer programs and use other software to explore these problems. Cross-listed with CSC 3003

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
CSC 1500 and MATH 2600 Meets
MATH 3003Advanced Statistics3

Credit(s) Offered: every other year This course is a natural extension to an introductory statistics course. Topics covered will include regression (and least square analysis), parameter estimation and confidence intervals, simulation of discrete and continuous distributions using Monte Carlo methods, Markov Chains, Bayesian analysis, analysis of variance and simulation. The course will employ statistical software to explore the listed topics.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 1700 or MATH 1800 or MATH 2800 or equivalent knowledge and either MATH 2200 or MATH 2300 Meets
MATH 3010Methods of Teaching Mathematics (5-12) I3

Credit(s) Offered: Spring This is the first of two methods courses and will focus on content pedagogy of mathematics at the middle and secondary level. Teacher candidates design and implement standards-based instruction and assessments that are aligned with best practices for teaching and learning in mathematics. Special emphasis is placed on employing a variety of instructional practices and classroom management strategies that provide learning opportunities for diverse student populations and enhance multicultural pluralism. Teacher candidates will gain knowledge in using technology to facilitate teaching and learning based on the needs of diverse learners and across varied subject areas. A pre-practicum of 25 hours is required. Students will arrange pre-practicum hours on their own or through the support of the Placement Coordinator. An observation by the Supervising Practitioner, and the accompanying Pre-Practicum Targeted Feedback Form are required.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
EDUC 2011 , EDUC 2012 , MATH 2400 , and SPED 3800
MATH 3150Elementary Number Theory3

Credit(s) Offered: every other year This course involves the study of the properties of the integers. Topics covered include divisibility, prime numbers, congruences, Diophantine equations, cryptography, mathematical induction and computational number theory.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2500 Meets
MATH 3200History of Mathematics3

Credit(s) Offered: every other year The development of mathematical ideas and methods from ancient to modern times and their relevance to other fields of knowledge is studied.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2400
MATH 3350Multivariate Calculus4

Credit(s) Offered: every semester This course involves the study of vectors, parametric equations, polar and cylindrical and spherical coordinates, quadric surfaces, multivariable functions, partial derivatives, directional derivatives, and multiple integrals.

Subject
MATH
Credits (min)
4
Credits (max)
4
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2400 Meets
MATH 3500Methods of Applied Mathematics3

Credit(s) Offered: every other year One of the core courses for students in the Applied Mathematics concentration of the Mathematics Department. Students will learn techniques in advanced linear algebra, as well as basic ordinary and partial differential equations along with related computational tools. Upon completion of this course, students should have a firm foundation for pursuing further study in Applied Mathematics.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2550 and MATH 2600
MATH 3550Ordinary Differential Equations3

Credit(s) Offered: every other year This is an introductory course to ordinary differential equations including first- and higher-order equations as well as systems of linear and nonlinear differential equations. Many different techniques are introduced including matrices, numerical, series and LaPlace transformations. The course also introduces students to applications of differential equations including predator-prey and disease modelling.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2400 , MATH 2550 , and MATH 2600 Meets
MATH 3900Mathematics Seminar1

Credit(s) Offered: Spring The seminar provides the opportunity for problem solving and research on one or more topics outside the core curriculum areas.

Subject
MATH
Credits (min)
1
Credits (max)
1
Credit unit
Credit(s)
Type
course
Repeatable
may be repeated once.
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2500 and MATH 3350
MATH 4000Real Analysis3

Credit(s) Offered: every other year The course covers rigorous treatment of the foundations of differential and integral calculus with such topics as the real numbers, continuity, metric and Euclidean spaces.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2400 and MATH 2500 Meets
MATH 4012Practicum Seminar3

Credit(s) Offered: concurrent with the practicum. This course is taken in conjunction with the practicum. Using peer collaboration and self-reflection, teacher candidates explore strategies to improve instruction, promote positive student behavior and social-emotional growth, and provide leadership at a school-wide level. The course also serves as a culminating experience in which candidates produce a Teacher Work Sample (TWS), a multi-step performance assessment that models the planning-teaching-assessment cycle of the professional educator, and that provides evidence of the candidate’s readiness to teach. Cross-listed with BIOL 4012 , CHEM 4012 , ENGL 4012 , ENGT 4012 , HIST 4012 , SCI 4012

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Stage II Review
MATH 4020Practicum in Middle School (5-8) Mathematics I4.5

Credit(s) Offered: every semester Practicum I is an 8-week student teaching experience in the role of teaching in the middle school setting. Teacher candidates complete the practicum under the direction of a supervising practitioner who is certified in the area of licensure sought by the candidate and under the guidance of the university supervisor. The purpose of the practicum is to ensure candidates are ready to teach in their content area and make an impact with students from the beginning of their experience. Targeted and specific feedback on observations of candidates, measurement of candidate impact on student learning, student feedback on candidates, and candidate artifacts will be used to improve candidate practice on key indicators of all the Professional Standards for Teachers (PSTs) and assess candidate practice on the Candidate Performance of Assessment (CAP) rubric. This process will culminate in the development of Professional Practice Goals for the candidate’s next steps.

Subject
MATH
Credits (min)
4.5
Credits (max)
4.5
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
EDUC 3122 and Successful passage of Education Unit Stage II review
Corequisite
MATH 4012
MATH 4030Practicum in Middle School (5-8) Mathematics II4.5

Credit(s) Offered: every semester Practicum II is an 8-week student teaching experience in the role of teaching in the middle school setting. Teacher candidates complete the practicum under the direction of a supervising practitioner who is certified in the area of licensure sought by the candidate and under the guidance of the university supervisor. The purpose of the practicum is to ensure candidates are ready to teach in their content area and make impact with students on day one in a classroom. Targeted and specific feedback on observations of candidates, measurement of candidate impact on student learning, student feedback on candidates, and candidate artifacts will be used to improve candidate practice on key indicators of all the Professional Standards for Teachers (PSTs) and assess candidate practice on the Candidate Performance of Assessment (CAP) rubric. This process will culminate in the development of Professional Practice Goals for the candidate’s next steps.

Subject
MATH
Credits (min)
4.5
Credits (max)
4.5
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
EDUC 3122 and Successful Passage of Education Unit Stage II Review
Corequisite
MATH 4012
MATH 4050Topology3

Credit(s) Offered: as needed Topics covered include point sets, metric spaces, topological spaces, connectedness and compactness.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
MATH 4150Advanced Multivariate Calculus3

Credit(s) Offered: as needed The differential and integral calculus of vector valued functions and functions of several variables are examined.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2600 and MATH 3350 Meets
MATH 4200Probability and Statistics I3

Credit(s) Offered: Fall The course involves a careful development of elementary probability theory with applications followed by the study of discrete and continuous random variables, including the binomial, Poisson and normal.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2400 Meets
MATH 4250Probability and Statistics II3

Credit(s) Offered: Spring Random variables and their probability distributions are used to study problems in estimation, hypothesis testing, regression and analysis of variance.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 4200 Meets
MATH 4300Abstract Algebra3

Credit(s) Offered: Fall The course introduces algebraic structures, including groups, rings and fields.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2500 or permission of Instructor, and MATH 2600 Meets
MATH 4350Complex Analysis3

Credit(s) Offered: every other year The course covers the following topics: the complex number system, the analysis of complex functions, analytic functions, integration, series, contour integration and conformal mappings.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 3350 Meets
MATH 4400Operations Research3

Credit(s) Offered: as needed Operations Research studies the planning and analysis of complex systems using mathematical formulations. This course will focus on Linear Programming using the Simplex Method. Specific topics include linear programming, duality, networks, transportation problems, dynamic programming and stochastic models. We will develop theory and implement models in a computing environment. Students will learn to expand upon existing models and formulate their own models.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2400 and MATH 2600 Meets
MATH 4450Mathematical Modeling3

Credit(s) Offered: as needed Mathematical modeling is the process of representing complex real-world phenomena with mathematical expressions. Models are analyzed using mathematical tools and numerical simulations, before interpreting results in the context of the system in question. We will focus on models from the physical, social and/or life sciences. Specific modeling topics include recurrence relations, matrix models, empirical models, and ordinary differential equations. Deterministic as well as probabilistic formulations will be considered. Students will implement models and analyze output using a numeric computing environment such as Matlab.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2400 and MATH 2600 Meets
MATH 4500Numerical Analysis3

Credit(s) Offered: every other year Numerical analysis is concerned with devising algorithms for approximating the solutions to mathematically expressed problems. Topics are chosen from round off error and computer arithmetic, solutions of algebraic and transcendental equations, interpolation and polynomial approximation, numerical differentiation and integration, solutions of ordinary differential equations, solutions of linear systems, and approximation theory. Both mathematical rigor and computer solutions are stressed.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 2400 , MATH 2600 and programming ability in a numerical program language Meets
MATH 4600Capstone in Mathematics3

Credit(s) Offered: as needed This course is designed for seniors in mathematics to complete a senior project. They will meet regularly with the instructor to provide consultation with their project and work in conjunction with other students as needed. Since the topic for each student’s project will be selected by the student, the topics of the course will vary depending on the enrolled students. Each student will do a survey of the literature, define a problem statement, refine the research techniques, collect novel information, data or observations, and produce an extensive research paper and poster or oral presentation.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 3350 and senior standing Meets
MATH 4850Methods of Teaching Mathematics (5-12) II3

Credit(s) Offered: as needed This is the second part of the methods course that focuses on mathematics pedagogy at the middle and secondary level. Teacher candidates continue designing and implementing standards-based instruction and assessments that are aligned with best practices for teaching and learning in mathematics. Special emphasis is placed on employing a variety of instructional practices and classroom management strategies that provide learning opportunities for diverse student populations and enhance multicultural pluralism. Moreover, disciplinary literacy is particularly emphasized to enhance reading, writing, speaking, and listening in mathematics. This course also addresses select mathematics subject matter knowledge (5-12) required by ESE. A pre-practicum of 25 hours is required.

Subject
MATH
Credits (min)
3
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
MATH 3010
MATH 4860Practicum in a Secondary School I4.5

Credit(s) Offered: as needed Teacher candidates complete a practicum in an educational setting under the direction of a supervising practitioner who is certified in the area of licensure sought by the candidate, and under the guidance of a program supervisor. The purpose of the practicum is to ensure candidates are ready to teach and make impact with students on day one in a classroom. Targeted and specific feedback on observations of candidates, measurement of candidate impact on student learning, student feedback and additional evidence will be used to demonstrate and improve candidate performance on Professional Standards for Teachers indicators and the Candidate Performance of Assessment.

Subject
MATH
Credits (min)
4.5
Credits (max)
4.5
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Stage II Review
Corequisite
MATH 4012
MATH 4870Practicum in a Secondary School II4.5

Credit(s) Offered: as needed Teacher candidates complete a practicum in an educational setting under the direction of a supervising practitioner who is certified in the area of licensure sought by the candidate, and under the guidance of a program supervisor. The purpose of the practicum is to ensure candidates are ready to teach and make impact with students on day one in a classroom. Targeted and specific feedback on observations of candidates, measurement of candidate impact on student learning, student feedback and additional evidence will be used to demonstrate and improve candidate performance on Professional Standards for Teachers indicators and the Candidate Performance of Assessment.

Subject
MATH
Credits (min)
4.5
Credits (max)
4.5
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Stage II Review
Corequisite
MATH 4012
MATH 4901Independent Study1-3

Credit(s) The Independent Study is open to students with the permission of the supervision instructor and the department. Meeting times and credit are determined upon approval.

Subject
MATH
Credits (min)
1
Credits (max)
3
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
MATH 4903Independent Study: Mathematics3-12

Credit(s) Offered: as needed

Subject
MATH
Credits (min)
3
Credits (max)
12
Credit unit
Credit(s)
Type
course
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Department permission.
MATH 4950Internship1-6

Credit(s) Offered: as needed The Internship provides an opportunity to gain valuable on-the-job experience for university credit by working in business, government, industry or academia. Students select and apply for field placement with the assistance of the Mathematics Department and Career Services.

Subject
MATH
Credits (min)
1
Credits (max)
6
Credit unit
Credit(s)
Type
course
Repeatable
may be repeated for a maximum of 12 semester hours total.
Edition
2025-2026
Catalog
Fitchburg State University 2025-2026 Undergraduate Catalog
Source
catalog.fitchburgstate.edu
Prerequisite
Junior or senior standing and approval of the Mathematics Department

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