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MTH 311: Numerical Methods
3.00 Credits
Spring Hill College
Study of algorithms for solving mathematical problems (such as roots of equations, differentiation, integration, initial and boundary value problems, solutions for systems of equations) by computation and error analysis of the computations. Prerequisites: MTH 122 and CIS 221.
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MTH 311 - Numerical Methods
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MTH 315: Applied Mathematics I
3.00 Credits
Spring Hill College
Solutions of non-linear ordinary differential equations, partial differential equations and applied problems that give rise to such equations. Prerequisite: MTH 323.
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MTH 315 - Applied Mathematics I
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MTH 316: Applied Mathematics II
3.00 Credits
Spring Hill College
Linear vector spaces, function spaces, orthogonal polynomials, Fourier analysis, and applications of group theory to problems in physics. Prerequisite: MTH 315.
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MTH 316 - Applied Mathematics II
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MTH 321: Linear Algebra
3.00 Credits
Spring Hill College
Matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors. Prerequisite: MTH 121.
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MTH 321 - Linear Algebra
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MTH 323: Calculus III
3.00 Credits
Spring Hill College
Vectors and analytic geometry in space, differential and integral calculus of functions of two or more variables, applications. Prerequisite: MTH 122.
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MTH 323 - Calculus III
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MTH 331: Foundations of Geometry
3.00 Credits
Spring Hill College
Incidence and order properties, Hilbert's axioms, congruence of triangles, inequalities in triangles, absolute and non-Euclidean geometry, the parallel postulates, and projective geometry. Prerequisite: MTH 122.
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MTH 331 - Foundations of Geometry
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MTH 451: Basic Real Analysis
3.00 Credits
Spring Hill College
The real number system, topology of the line, limits, continuity, differentiation, theory of integration, sequences and series of functions. Prerequisites: MTH 301 and MTH 323.
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MTH 451 - Basic Real Analysis
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MTH 461: Differential Equations
3.00 Credits
Spring Hill College
Methods of solution and applications of standard types of ordinary differential equations and systems of ordinary differential equations including series and numerical solutions. Prerequisite: MTH 323.
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MTH 461 - Differential Equations
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MTH 462: Vector Calculus
3.00 Credits
Spring Hill College
Curvilinear coordinates, differentiation and integration of vector functions, divergence theorem, curl, Stoke's theorem, conservative fields, orthogonal transformations. Prerequisite: MTH 323.
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MTH 462 - Vector Calculus
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MTH 464: Complex Variables
3.00 Credits
Spring Hill College
Arithmetic and geometry of complex numbers, complex functions, analytic and harmonic functions, elementary functions, complex integration, series representations, residue theory, and conformal mapping. Prerequisites: MTH 301 and MTH 323. Division of Science and Mathematics 209
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MTH 464 - Complex Variables
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