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MATH 111: Calculus I
4.00 Credits
Philadelphia University
Functions, slope and rate of change, limits, derivations of algebraic functions, mazima and minima applications, indefinite integration, integration by substitution, sigma notation, area between two curves. Knowledge of algebra, geometry and trigonometric functions is assumed.
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MATH 112: Calculus II
4.00 Credits
Philadelphia University
Differentiation and integration of transcendental functions. Theory and methods of integration and applications. Infinite series, convergent tests, Maclaurin and Taylor series. Convergence of Taylor series. Prerequisite: MATH-111
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MATH 213: Calculus III
4.00 Credits
Philadelphia University
Study of analytic geometry in 3D-space; algebra of vectors, differentiation and integration of vectors; partial differentiation, multiple integrals; infinite series. Prerequisite: MATH-112
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MATH 214: Linear Algebra
3.00 Credits
Philadelphia University
Theory and solution techniques for systems of linear equations; vectors, matrices, determinants; eigenvalues and eigenvectors; vector spaces; linear transformations. Prerequisite: MATH-112
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MATH 214 - Linear Algebra
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MATH 225: Differential Equations
3.00 Credits
Philadelphia University
First-order equations; constant-coefficient, nth-order homogeneous and non-homogeneous equations; special non-linear equations; elementary applications; power series solutions. May also include elementary numerical techniques for solutions of ordinary differential equations and other computer topics. Prerequisite: MATH-213
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MATH 316: Partial Differential Equations
3.00 Credits
Philadelphia University
How modeling physical phenomena leads to partial differential equations; the heat conduction, wave propagation and potential equations; classification of linear second-order equations; boundary-value problems; Fourier series; separation of variables and special functions. Prerequisite: MATH-225
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MATH 317: Real Variables
3.00 Credits
Philadelphia University
Study of topics related to functions of a real variable, including measure and integration; differentiation; abstract spaces; general measure and integration theory. Prerequisite: MATH-225
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MATH 318: Complex Variables
3.00 Credits
Philadelphia University
Study of analytical functions; Cauchy-Riemann equations; power series; infinite series; calculus of residues; contour integration; conformal mapping. Prerequisite: MATH-225
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MATH 321: Probability and Statistics
3.00 Credits
Philadelphia University
Fundamentals of probability, discrete and continuous random variables, probability distributions, hypothesis testing. Prerequisite: MATH-112
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MATH 323: Mathematical Statistics
3.00 Credits
Philadelphia University
This course is designed to give the student some of the background needed to pursue more advanced courses that use statistical techniques. The content of the course will include topics from probability theory that are necessary for an understanding of the mathematical foundations of statistics. These topics will include: probability distributions, likelihood functions, properties of expectation operators, moment-generating functions, the central-limit theorem, confidence intervals and hypothesis testing. The student will be expected to be familiar with the topics of calculus through multiple integrals. Prerequisite: MATH-321
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MATH 323 - Mathematical Statistics
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