32 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 101Calculus with Problem Solving6
An introduction to the central ideas of calculus with review and practice of those skills needed for the continued study of calculus. Problem solving strategies will be emphasized. In addition to regular MWF class time, students will be expected to attend two problem-solving sessions each week, one on Monday or Tuesday, and one on Wednesday or Thursday. Details will be provided on the first day of class. Offered: Fall 2025, Winter 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning open to students who have received credit for Mathematics 111. For more information, see the Mathematics' web page. Tags: CL: 100 level MATH Required Core Course PHYS Mathematics Course STAT
Student has received a score of 101 on the Carleton Math Placement exam. Not
MATH 106Tour of Mathematics and Statistics1
The tour consists of a series of eight presentations given by a variety of Mathematics and Statistics department faculty. The course is intended for first- or second-year students considering a Mathematics or Statistics major or minor. The emphasis of these talks will be on presenting engaging ideas and research in various areas of mathematics and statistics, rather than on developing extensive knowledge or techniques in any particular subject area. Offered: Winter 2026 Grading: S/CR/NC Liberal Arts Requirements: No Exploration Tags: CL: 100 level Faculty: MurphyKate Montee
An introduction to the differential and integral calculus. Derivatives, antiderivatives, the definite integral, applications, and the fundamental theorem of calculus.
Inverse functions, integration by parts, improper integrals, modeling with differential equations, vectors, calculus of functions of two independent variables including directional derivatives and double integrals, Lagrange multipliers. Offered: Fall 2025, Winter 2026, Spring 2026 Credits: 6 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning a grade of C- or better or received a scored of 4 or better on AP Calculus AB test or received a scored of 5 or better on Calculus IB test or received a score of 111 on the Carleton Math Requisite Equivalency exam or placement exam. Not open to students who received a scored of 4 or better on the AP Calculus BC test or completed MATH 211 with a grade of C- or better. Tags: CL: 100 level MATH Required Core Course PHYS Mathematics Course STAT
Student has completed any of the following course(s): MATH 101 or MATH 111 with
MATH 134Linear Algebra with Applications6
Linear algebra centers on the geometry, algebra, and applications of linear equations. It is pivotal to many areas of mathematics, natural sciences, computer science, and engineering. To study linear equations, we will develop concepts including matrix algebra, linear independence, determinants, eigenvectors, and orthogonality. Students will use these tools to model real world problems and solve these problems using computational software. Offered: Fall 2025, Winter 2026, Spring 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning Tags: CL: 100 level MATH Required Core Course PHYS Mathematics Course STAT
Not open to students who have taken MATH 232 or equivalents.
MATH 210Calculus3
Vectors, curves, calculus of functions of three independent variables, including directional derivatives and triple integrals, cylindrical and spherical coordinates, line integrals, Green's theorem, sequences and series, power series, Taylor series. This course cannot be substituted for MATH 211. Offered: Winter 2026, Spring 2026 Credits: 6 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning or better. Students who have received a score of 4 or greater on the AP Calculus BC exam should register for MATH 211. Tags: CL: 200 level MATH Required Core Course PHYS Mathematics Course STAT
Student has completed any of the following course(s): MATH 120 with a grade of C-
MATH 211Introduction to Multivariable Calculus6
Vectors, curves, partial derivatives, gradient, multiple and iterated integrals, line integrals, Green’s theorem. Offered: Fall 2025, Winter 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning received a score of 211 on the Carleton Math Placement exam or received a score of 121 on the Carleton Math Requisite Equivalency exam. Tags: CL: 200 level MATH Required Core Course PHYS Mathematics Course STAT
Basic concepts and techniques used throughout mathematics. Topics include logic, mathematical induction and other methods of proof, problem solving, sets, cardinality, equivalence relations, functions and relations, and the axiom of choice. Other topics may include: algebraic structures, graph theory, and basic combinatorics. Sophomore Priority section is available Offered: Fall 2025, Winter 2026, Spring 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning AND MATH 210 or MATH 211 with a grade of C- or better or equivalent. Tags: CL: 200 level MATH Required Core Course PHIL Interdisciplinary 2 PHIL Logic and Formal Reasoning 1 Faculty: Claudio Gómez-Gonzáles · Sunrose Shrestha · Kate Meyer
Student has completed any of the following course(s): MATH 134 or MATH 232
MATH 240Probability6
Introduction to probability and its applications. Topics include discrete probability, random variables, independence, joint and conditional distributions, expectation, limit laws and properties of common probability distributions. Offered: Fall 2025, Winter 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning greater with a grade of C- or better or received a score of 211 or better on the Carleton Requisite Equivalency exam. Tags: CL: 200 level ENTS Quantitative Methods MATH Electives SDSC Math Stats Elective STAT Core MATH Applied Mathematics Faculty: Katie St. Clair · Josh Davis · Andy Poppick
Euclidean geometry from an advanced perspective; projective, hyperbolic, inversive, and/or other geometries. Recommended for prospective secondary school teachers. Offered: Winter 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning or better. Tags: CL: 200 level MATH Electives MATH Geometry and Topology Faculty: MurphyKate Montee
Optimization is all about selecting the "best" thing. Finding the most likely strategy to win a game, the route that gets you there the fastest, or the curve that most closely fits given data are all examples of optimization problems. In this course we study linear optimization (also known as linear programming), the simplex method, and duality from both a theoretical and a computational perspective. Applications will be selected from statistics, economics, computer science, and more. Additional topics in nonlinear and convex optimization will be covered as time permits. Offered: Spring 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning 232 AND MATH 120 or MATH 211 with a grade of C- or better or equivalents. Tags: CL: 200 level CS Major Electives MATH Electives SDSC Math Stats Elective STAT Elective MATH Applied Mathematics Faculty: Joseph Johnson
Student must have completed any of the following course(s): MATH 134 or MATH
MATH 282Number Theory6
A first course in number theory, covering properties of the integers. Topics include the Euclidean algorithm, prime factorization, Diophantine equations, congruences, divisibility, Euler’s phi function and other multiplicative functions, primitive roots, and quadratic reciprocity. Along the way we will encounter and explore several famous unsolved problems in number theory. If time permits, we may discuss further topics, including integers as sums of squares, continued fractions, distribution of primes, Mersenne primes, the RSA cryptosystem. Offered: Winter 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning or better or received a score of 236 on the Carleton Math Requisite Equivalency exam. Tags: CL: 300 level MATH Algebra MATH Electives Faculty: Deewang Bhamidipati
Student has completed any of the following course(s): MATH 236 with a grade of C-
MATH 294Directed Research in Mathematics
Students work on a research project related to a faculty member's research interests, and directed by that faculty member. Student activities vary according to the field and stage of the project. The long-run goal of these projects normally includes dissemination to a scholarly community beyond Carleton. The faculty member will meet regularly with the student and actively direct the work of the student, who will submit an end-of-term product, typically a paper or presentation. Offered: Fall 2025, Winter 2026, Spring 2026
A systematic study of single-variable functions on the real numbers. This course develops the mathematical concepts and tools needed to understand why calculus really works: the topology of the real numbers, limits, differentiation, integration, convergence of sequences, and series of functions. Offered: Fall 2025, Spring 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning or MATH 211 with a grade of C- or better or equivalents. Tags: CL: 300 level MATH Analysis MATH Electives Faculty: Kate Meyer
Selected topics beyond the material of Mathematics 232. Topics may include the Cayley-Hamilton theorem, the spectral theorem, factorizations, canonical forms, determinant functions, estimation of eigenvalues, inner product spaces, dual vector spaces, unitary and Hermitian matrices, operators, infinite- dimensional spaces, and various applications. Offered: Fall 2025 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning or better. Tags: CL: 300 level MATH Algebra MATH Electives Faculty: Rob Thompson
Introduction to algebraic structures, including groups, rings, and fields. Homomorphisms and quotient structures, polynomials, unique factorization. Other topics may include applications such as Burnside’s counting theorem, symmetry groups, polynomial equations, or geometric constructions. Offered: Winter 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning or better or received a score of 236 on the Carleton Math Requisite Equivalency exam. Tags: CL: 300 level MATH Algebra MATH Electives Faculty: MurphyKate Montee
Methods of teaching mathematics in grades 7-12. Issues in contemporary mathematics education. Regular visits to school classrooms and teaching a class are required. Offered: Fall 2025 Credits: 6 Liberal Arts Requirements: No Exploration Tags: ACE Applied CL: 300 level EDUC Pertinent MATH Electives Faculty: Deanna Haunsperger
In the nineteenth century, Évariste Galois discovered a deep connection between field theory and group theory. Now known as Galois theory, this led to the resolution of several centuries-old problems, including whether there is a version of the quadratic formula for higher-degree polynomials, and whether the circle can be squared. Today Galois theory is a fundamental concept for many mathematical fields, from topology to algebra to number theory. This course develops the theory in a modern framework, and explores several applications. Topics include field extensions, classical constructions, splitting fields, the Galois correspondence, Galois groups of polynomials, and solvability by radicals. Offered: Spring 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning or better. Tags: CL: 300 level MATH Algebra MATH Electives Faculty: Rafe Jones
Student has completed any of the following course(s): MATH 342 with grade of C-
MATH 354Topology6
An introduction to the study of topological spaces. We develop concepts from point-set and algebraic topology in order to distinguish between different topological spaces up to homeomorphism. Topics include methods of construction of topological spaces; continuity, connectedness, compactness, Hausdorff condition; fundamental group, homotopy of maps. Offered: Winter 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning or better or received a score of 236 on the Carleton Math Requisite Equivalency exam. Tags: CL: 300 level MATH Electives MATH Geometry and Topology Faculty: Josh Davis
Student has completed any of the following course(s): MATH 236 with a grade of C-
MATH 361Complex Analysis6
The theoretical foundations for the calculus of functions of a complex variable. Offered: Winter 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning or better. Tags: CL: 300 level MATH Analysis MATH Electives Faculty: Caroline Turnage-Butterbaugh
Student has completed any of the following course(s): MATH 321 with a grade of C-
MATH 362Representation Theory of Finite Groups6
Representation theory is the study of mathematical structures via the tools of linear algebra. The first objects to be studied in this way were finite groups at the end of the nineteenth century, motivated by the powerful framework of characters in number theory, but the field has generalized incredibly due to the prevalence of symmetry throughout mathematics, physics, and beyond. In this course the focus is on finite groups. Topics include Maschke’s theorem, complete reducibility, and Schur’s lemma; characters, orthogonality relations, and character tables; Fourier transformations and random walks. Additional topics may include Burnside’s Lemma, Frobenius reciprocity, and an exploration of representations of infinite groups. Offered: Spring 2026 Liberal Arts Requirements: FSR, Formal or Statistical Reasoning Tags: CL: 300 level MATH Algebra MATH Electives Faculty: Claudio Gómez-Gonzáles
Students work on a research project related to a faculty member's research interests, and directed by that faculty member. Student activities vary according to the field and stage of the project. The long-run goal of these projects normally includes dissemination to a scholarly community beyond Carleton. The faculty member will meet regularly with the student and actively direct the work of the student, who will submit an end-of-term product, typically a paper or presentation. Offered: Fall 2025, Winter 2026, Spring 2026 Grading: S/CR/NC – 6 Liberal Arts Requirements: No Exploration
As part of their senior capstone experience, majors will work together in teams to develop advanced knowledge in a faculty-specified area or application of mathematics, and to design and implement the first stage of a project completed the following term. Offered: Fall 2025, Winter 2026 Grading: S/CR/NC Credits: 6 Liberal Arts Requirements: No Exploration Faculty: Claudio Gómez-Gonzáles · Caroline Turnage-Butterbaugh · Rob Thompson · Kate Meyer · MurphyKate Montee
Either a supervised group project or an individual, independent project. Required of all senior majors. Offered: Fall 2025, Winter 2026, Spring 2026 Grading: S/NC Credits: 3 – 6 any of the following course(s): MATH 236 or equivalent AND three courses from any Math course higher than MATH 236, CS 252 or equivalent, CS 254, CS 352, STAT 250, STAT 320 or STAT 340 with a grade of C- or better. Faculty: Claudio Gómez-Gonzáles · Rob Thompson · Caroline Turnage-Butterbaugh · Kate Meyer · MurphyKate Montee
