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MATH 50323: Differential Geometry
3.00 Credits
Texas Christian University
Prerequisite: MATH 30224 and 30524. Calculus on Euclidean space. Geometry of curves and surfaces.
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MATH 50323 - Differential Geometry
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MATH 50403: Complex Analysis
3.00 Credits
Texas Christian University
Prerequisite: MATH 30524. Analytic functions, harmonic functions, and the Cauchy-Riemann equations. Conformal mappings. Cauchy's integral theorem and formula, with applications. Power series and analytic continuation.
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MATH 50403 - Complex Analysis
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MATH 50503: Real Analysis I
3.00 Credits
Texas Christian University
Prerequisite: Math 10123, Math 30224, and Math 30524. A rigorous development of elementary limit processes. Continuity, sequences, series, differentiation, integration.
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MATH 50503 - Real Analysis I
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MATH 50513: Real Analysis II
3.00 Credits
Texas Christian University
Prerequisite: Math 50503. A continuation of Math 50503. Multivariable calculus, including the Implicit Function Theorem and change of variables. Other selected topics.
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MATH 50513 - Real Analysis II
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MATH 50613: Partial Differential Equations
3.00 Credits
Texas Christian University
Prerequisite: Math 30613. Basic theory of hyperbolic, parabolic, and elliptic partial differential equations.
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MATH 50613 - Partial Differential Equations
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MATH 50623: Applied Mathematics I
3.00 Credits
Texas Christian University
Prerequisite: Math 30224, Math 30524 and Math 30613. Selected topics, such as linear and nonlinear systems, equilibria, Fourier series, computational graph theory, optimization and linear programming, calculus of variations, complex integration.
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MATH 50623 - Applied Mathematics I
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MATH 50633: Applied Mathematics II
3.00 Credits
Texas Christian University
Prerequisite: MATH 50623. Continuation of MATH 50623.
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MATH 50633 - Applied Mathematics II
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MATH 50703: Number Theory
3.00 Credits
Texas Christian University
Prerequisite: Math 10123 and Math 30224. Properties of the integers. Divisibility, prime numbers, modular arithmetic, Chinese Remainder Theorem, Diophantine equations.
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MATH 50703 - Number Theory
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MILS 10001: Leadership Lab
3.00 Credits
Texas Christian University
Fall/Spring. One class per week. This course facilitates the development of leadership skills while giving practical experience in military skills. Areas of emphasis include drill and ceremonies, squad level tactics, first aid and land navigation. Advanced Course cadets conduct the training and lead the cadet battalion under cadre supervision. A weekend field training exercise and weekly physical fitness training are included in the course.
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MILS 10001 - Leadership Lab
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MILS 10041: Introduction to Leadership I
3.00 Credits
Texas Christian University
Fall. One class per week. A progressive overview of the U.S. Army to include its history, its organization, its customs and courtesies, its strategic mission, dynamic structure, and methods of tactical deployment. Included is a field trip, where students are exposed to onand off-duty Army life and have the opportunity to observe new combat arms lieutenants in action.
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MILS 10041 - Introduction to Leadership I
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