Search Results
Your search for courses · during 25FA, 26WI, 26SP · taught by cgonzales · returned 6 results
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MATH 120 Calculus 2 6 credits
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.
Not open to students who have received credit for MATH 211 or have a score of 4 or 5 on the AP Calculus BC exam.
- Winter 2026
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 101 or MATH 111 with 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 Carleton Math 111 Requisite Equivalency 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.
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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.
Sophomore Priority section is available
- Fall 2025, Winter 2026
- 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 362 Representation Theory of Finite Groups 6 credits
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.
- Spring 2026
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 342 with grade of C- or better.
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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 2025, Winter 2026, Spring 2026
- 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 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 2025
- 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 group project or an individual, independent project. Required of all senior majors.
- Winter 2026
- 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.