Modify Your Search
Search Results
Your search for courses · during 25FA, 26WI, 26SP · taught by mmontee · returned 8 results
-
MATH 106 Tour of Mathematics and Statistics 1 credits
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.
- Winter 2026
- No Exploration
-
MATH 134 Linear Algebra with Applications 6 credits
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.
This course is not open to students who have received credit for MATH 232.
- Fall 2025
- FSR, Formal or Statistical Reasoning
-
Not open to students who have taken MATH 232 or equivalents.
-
MATH 244 Geometries 6 credits
Euclidean geometry from an advanced perspective; projective, hyperbolic, inversive, and/or other geometries. Recommended for prospective secondary school teachers.
- Winter 2026
- FSR, Formal or Statistical Reasoning
-
Student has completed any of the following course(s): MATH 236 with a grade of C- or better.
-
MATH 295 Tessellation 6 credits
This course explores a particularly visual sort of mathematical pattern: a tessellation. A tessellation is a way of covering the plane with shapes (called “tiles”) that don’t overlap. This class will explore questions like: Is it possible to make a tessellation out of a given set of tiles? How many different tessellations can I create from this set of tiles? We’ll cover both classical results (it is impossible to tile the plane with heptagons!), and the 2023 construction of the “Einstein tile”: the first known polygon that tiles the plane but never periodically. Links will be made with graph theory, topology, and geometry.
Repeatable: This course is repeatable provided the topics are different.
Sophomore Priority
- Spring 2026
- FSR, Formal or Statistical Reasoning
-
Student has completed any of the following course(s): MATH 236 with a grade of C- or better or received a Carleton Mathematics 236 Requisite Equivalency.
-
MATH 342 Introduction to Groups, Rings, and Fields 6 credits
Groups, rings, and fields are basic algebraic structures that appear throughout mathematics. Topics in group theory include subgroups, cosets, homomorphism theorems, and quotient groups. Topics in ring and field theory include ideals, homomorphism theorems, quotient rings, integral domains, and finite fields.
- Winter 2026
- FSR, Formal or Statistical Reasoning
-
Student has completed any of the following course(s): MATH 236 with a grade of C- or better or received a Carleton Mathematics 236 Requisite Equivalency.
-
MATH 394 Directed Research in Mathematics 1 – 6 credits
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.
Register for this course by submitting the Directed Research form which requires approval from the project faculty supervisor and your adviser.
- Spring 2026, Fall 2026, Winter 2027, Spring 2027
- No Exploration
-
MATH 399 Senior Seminar 6 credits
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.
- Winter 2026
- No Exploration
-
Student is a Mathematics major AND has Senior Priority.
-
MATH 400 Integrative Exercise 3 – 6 credits
Either a supervised group project or an individual, independent project. Required of all senior majors.
- Spring 2026
- No Exploration
-
Student has a program of study in MATH AND has Senior Priority AND has completed 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.