Search Results
Your search for courses · during 2023-24 · tagged with MATH Required Core Course · returned 7 results
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MATH 101 Calculus with Problem Solving 6 credits
An introduction to the central ideas of calculus with review and practice of those skills needed for the continued study of calculus. Problem solving strategies will be emphasized. In addition to regular MWF class time, students will be expected to attend two problem-solving sessions each week, one on Monday or Tuesday, and one on Wednesday or Thursday. Details will be provided on the first day of class.
- Fall 2023, Winter 2024
- Formal or Statistical Reasoning
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Not open to students who have received credit for Mathematics 111.
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MATH 111 Introduction to Calculus 6 credits
An introduction to the differential and integral calculus. Derivatives, antiderivatives, the definite integral, applications, and the fundamental theorem of calculus.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Requires placement via the Calculus Placement Exam 1, see Mathematics web page. Not open to students who have received credit for Mathematics 101.
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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 210 Calculus 3 6 credits
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.
- Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Mathematics 120. This course cannot be substituted for Mathematics 211
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MATH 211 Introduction to Multivariable Calculus 6 credits
Vectors, curves, partial derivatives, gradient, multiple and iterated integrals, line integrals, Green’s theorem.
- Fall 2023, Winter 2024
- Formal or Statistical Reasoning
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Score of 4 or 5 on the AP Calculus BC exam, or placement via Calculus Placement Exam #3
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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.
- Fall 2023, Winter 2024, Spring 2024
- Formal or Statistical Reasoning
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Mathematics 120 or Mathematics 211
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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