Search Results
Your search for courses · during 2024-25 · tagged with MATH Analysis · returned 4 results
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MATH 251 Chaotic Dynamics 6 credits
Dynamics is the branch of mathematics that deals with the study of change. In this course we will focus on simple discrete non-linear dynamical systems that produce astoundingly rich and unpredictable behavior — something that is colloquially referred to as "chaos". Topics will include one dimensional dynamics (including fixed points and their classifications), Sharkovsky's Theorem, a careful formulation/definition of "chaos", symbolic dynamics, complex dynamics (including Julia and Mandelbrot sets), iterated function systems, fractals and more.
- Winter 2025
- 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 321 Real Analysis I 6 credits
A systematic study of single-variable functions on the real numbers. This course develops the mathematical concepts and tools needed to understand why calculus really works: the topology of the real numbers, limits, differentiation, integration, convergence of sequences, and series of functions.
- Winter 2025
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 236 AND MATH 210 or MATH 211 with a grade of C- or better or equivalents.
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MATH 331 Real Analysis II 6 credits
Further topics in analysis such as measure theory, Lebesgue integration or Banach and Hilbert spaces.
- Spring 2025
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 321 with a grade of C- or better.
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MATH 395 Introduction to Analytic Number Theory 6 credits
An introduction to the techniques and principles of analytic number theory. Topics covered include arithmetical functions, Dirichlet multiplication, averages of arithmetical functions, elementary theorems on the distribution of the primes, and Dirichlet's theorem on primes in arithmetic progressions.
- Winter 2025
- FSR, Formal or Statistical Reasoning
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Student has completed the following course(s): MATH 321 and MATH 342 with a grade of C- or better.