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Your search for courses for 22/WI and in CMC 206 found 8 courses.

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LING 110.00 Introduction to Linguistics 6 credits

Closed: Size: 30, Registered: 29, Waitlist: 0

CMC 206

Synonym: 62161

Jenna T Conklin

The capacity to acquire and use natural languages such as English is surely one of the more remarkable features of human nature. In this course, we explore several aspects of this ability. Topics include the sound systems of natural languages, the structure of words, principles that regulate word order, the course of language acquisition in children, and what these reveal about the nature of the mind.

MATH 120.01 Calculus 2 6 credits

Open: Size: 30, Registered: 21, Waitlist: 0

CMC 206

Synonym: 61602

MurphyKate Montee

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.

Prerequisite: 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

MATH 210.02 Calculus 3 6 credits

Open: Size: 30, Registered: 15, Waitlist: 0

CMC 206

Synonym: 61608

Alex J Barrios

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.

Prerequisite: Mathematics 120. This course cannot be substituted for Mathematics 211

MATH 211.00 Introduction to Multivariable Calculus 6 credits

Open: Size: 30, Registered: 29, Waitlist: 0

CMC 206

Synonym: 61609

Rob C Thompson

Vectors, curves, partial derivatives, gradient, multiple and iterated integrals, line integrals, Green's theorem.

Prerequisite: Score of 4 or 5 on the AP Calculus BC exam, or placement via Calculus Placement Exam #3

MATH 232.01 Linear Algebra 6 credits

Closed: Size: 30, Registered: 29, Waitlist: 0

CMC 206

Synonym: 61610

Owen D Biesel

Vector spaces, linear transformations, determinants, inner products and orthogonality, eigenvectors and eigenvalues.

Prerequisite: Mathematics 120 or Mathematics 211

MATH 236.00 Mathematical Structures 6 credits

Open: Size: 25, Registered: 17, Waitlist: 0

CMC 206

Synonym: 61612

MurphyKate Montee

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.

Prerequisite: Mathematics 232 and either Mathematics 210 or Mathematics 211

Sophomore Priority

Waitlist for Juniors and Seniors: MATH 236.WL0 (Synonym 61697)

MATH 342.00 Abstract Algebra I 6 credits

Open: Size: 25, Registered: 14, Waitlist: 0

CMC 206

Synonym: 61632

Claudio Gómez-Gonzáles

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.

Prerequisite: Mathematics 236 or instructor permission

PHIL 236.00 Proof, Knowledge, and Understanding in Mathematics 6 credits

Open: Size: 25, Registered: 16, Waitlist: 0

CMC 206

Synonym: 62194

Douglas B Marshall

An introduction to the philosophy of mathematics focusing on the history and development of mathematical proofs. The course is organized around three central questions: i. What is the relationship between a mathematical proof and our knowledge of the theorem that it proves? ii. Do some mathematical proofs go beyond establishing the truth of their theorems and actually explain why the theorems are true? iii. How has our mathematical knowledge grown throughout history? We will first address these questions by reading and discussing Imre Lakatos's book Proofs and Refutations. We will continue with readings drawn from classic and contemporary sources in the history and philosophy of mathematics. This course has no formal prerequisites, though it does presuppose a willingness to read, assess, and write about mathematical proofs.  

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You must take 6 credits of each of these.
You must take 6 credits of each of these,
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