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21 441: Number Theory
9.00 Credits
Carnegie Mellon University
Number theory deals with the integers, the most basic structures of mathematics. It is one of the most ancient, beautiful, and well-studied branches of mathematics, and has recently found surprising new applications in communications and cryptography. Course contents: Structure of the integers, greatest common divisiors, prime factorization. Modular arithmetic, Fermat's Theorem, Chinese Remainder Theorem. Number theoretic functions, e.g. Euler's function, Mobius functions, and identities. Diophantine equations, Pell's Equation, continued fractions. Modular polynomial equations, quadratic reciprocity. 3 hrs. lec.
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21 441 - Number Theory
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21 470: Selected Topics in Analysis
9.00 Credits
Carnegie Mellon University
Typical of courses, which are offered from time to time are finite difference equations, calculus of variations, and applied control theory. 3 hrs. lec.
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21 470 - Selected Topics in Analysis
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21 476: Ordinary Differential Equations
9.00 Credits
Carnegie Mellon University
Review of solution techniques, modeling techniques, existence and uniqueness, numerical procedures, linear equations and systems, special functions, autonomous non-linear systems, qualitative techniques. 3 hrs. lec.
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21 476 - Ordinary Differential Equations
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21 484: Graph Theory
9.00 Credits
Carnegie Mellon University
Graph theory uses basic concepts to approach a diversity of problems and nontrivial applications in operations research, computer science and other disciplines. It is one of the very few mathematical areas where one is always close to interesting unsolved problems. Topics include graphs and subgraphs, trees, connectivity, Euler tours and Hamilton cycles, matchings, graph colorings, planar graphs and Euler's Formula, directed graphs, network flows, counting arguments, and graph algorithms. 3 hrs. lec.
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21 484 - Graph Theory
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21 499: Undergraduate Research Topic
9.00 Credits
Carnegie Mellon University
This course affords undergraduates to pursue elementary research topics in the area of expertise of the instructor.
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21 499 - Undergraduate Research Topic
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21 599: Undergraduate Reading and Research
0.00 - 99.00 Credits
Carnegie Mellon University
Individual reading courses or projects in mathematics and its applications. Prerequisites and units to be negotiated with individual instructors.
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21 599 - Undergraduate Reading and Research
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24 050: Study Abroad
0.00 Credits
Carnegie Mellon University
No course description available.
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24 050 - Study Abroad
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24 051: Study Abroad
0.00 Credits
Carnegie Mellon University
No course description available.
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24 051 - Study Abroad
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24 101: Fundamentals of Mechanical Engineering
12.00 Credits
Carnegie Mellon University
The purpose of this course is to introduce the student to the field of mechanical engineering through an exposition of its disciplines, including structural analysis, mechanism design, fluid flows, and thermal systems. By using principles and methods of analysis developed in lectures, students will complete two major projects. These projects will begin with conceptualization, proceed with the analysis of candidate designs, and culminate in the construction and testing of a prototype. The creative process will be encouraged throughout. The course is intended primarily for CIT freshmen. 3 hrs. lec., 2 hrs. rec./lab.
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24 101 - Fundamentals of Mechanical Engineering
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24 200: Machine Shop Practice
1.00 Credits
Carnegie Mellon University
24-200 Machine Shop Practices Fall and Spring Semesters, 1 units, 6 week mini course This course familiarizes students with the operation and safety of machine tools. This gives students knowledge of what goes into engineering designs in building a prototype and also enables them to operate shop machinery as a part of future courses. Prerequisite: Undergraduate Mechanical Engineering standing 2 hours lab Machine Shop Practices should be completed prior to Design II 24-441. However, if necessary, it may be scheduled concurrently with Design II in the first mini of the semester.
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24 200 - Machine Shop Practice
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