Search Results
Your search for courses · during 2024-25 · taught by mmontee · returned 6 results
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MATH 232 Linear Algebra 6 credits
Linear algebra centers on the study of highly structured functions called linear transformations. Given the abundance of nonlinear functions in mathematics, it may come as a surprise that restricting to linear ones opens the door to a rich and powerful theory that finds applications throughout mathematics, statistics, computer science, and the natural and social sciences. Linear transformations are everywhere, once we know what to look for. They appear in calculus as the functions that are used to define lines and planes in Euclidean space. In fact, differentiation is also a linear transformation that takes one function to another. The course focuses on developing geometric intuition as well as computational matrix methods. Topics include kernel and image of a linear transformation, vector spaces, determinants, eigenvectors and eigenvalues.
This course is not open to students who have received credit for MATH 134.
- Winter 2025
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 120 or MATH 211 with a grade of C- or better or received a Carleton Math 211 Requisite Equivalency.
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MATH 236 Mathematical Structures 6 credits
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.
- Spring 2025
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 134 or MATH 232 AND MATH 210 or MATH 211 with a grade of C- or better or equivalent.
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MATH 342 Abstract Algebra I 6 credits
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.
- Fall 2024
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 236 with a grade of C- or better or received a Carleton Math 236 Requisite Equivalency exam.
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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.
- Fall 2024, Winter 2025, Spring 2025, Second Five Weeks, Spring 2025
- No Exploration
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MATH 399 Senior Seminar 6 credits
As part of their senior capstone experience, majors will work together in teams (typically three to four students per team) 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.
- Fall 2024
- No Exploration
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Student is a Mathematics major AND has Senior Priority.
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MATH 400 Integrative Exercise 3 – 6 credits
Either a supervised small-group research project or an individual, independent reading. Required of all senior majors.
- Winter 2025
- No Exploration
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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.
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MATH 400.02 Winter 2025
- Faculty:MurphyKate Montee 🏫 👤
- Size:12
- Grading:S/NC
- Credits:3
- T, THBoliou 140 10:10am-11:55am
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This section is for the MATH Comps Group Project: MATH 399 (6 credits), then MATH 400 (3 credits).