Search Results
Your search for courses · during 2023-24 · taught by cgonzales · returned 5 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.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Mathematics 101, 111, score of 4 or 5 on Calculus AB Exam or placement via a Carleton placement exam. Not open to students who have received credit for Mathematics 211 or have a score of 4 or 5 on the AP Calculus BC exam
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MATH 206 A Tour of Mathematics 1 credits
A series of eight lectures intended for students considering a Mathematics major. The emphasis will be on presenting various striking ideas, concepts and results in modern mathematics, rather than on developing extensive knowledge or techniques in any particular subject area.
- Winter 2024
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MATH 206.00 Winter 2024
- Faculty:Claudio Gómez-Gonzáles 🏫 👤
- Size:50
- Grading:S/CR/NC
- FLeighton 305 3:30pm-4:30pm
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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.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Mathematics 232 and either Mathematics 210 or Mathematics 211
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MATH 295 Introduction to Computational Algebraic Geometry 6 credits
Classical algebraic geometry is the study of geometric objects defined by polynomial equations. This course will cover fundamental concepts and techniques—varieties, ideals, and Gröbner bases, to name a few—as well as algorithms for solving equations and computing intersections of curves and surfaces. Ultimately, this course will build towards several beautiful results: the 27 lines on a cubic surface, the 28 bitangents on a planar quartic, and the construction of regular polygons. Students will learn to use software such as SageMath to perform computations and practice visualization. While familiarity with Python would be helpful, it is by no means required!
Sophomore Priority
- Spring 2024
- Formal or Statistical Reasoning
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Mathematics 236 or instructor permission
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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.
- Winter 2024
- Formal or Statistical Reasoning
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Mathematics 236 or instructor permission