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MAT 305: Linear Algebra
3.00 Credits
Allen University
Prerequisite: MAT 200 This course addresses matrix algebra, determinants, solutions of systems of linear equations, vector spaces, linear transformations, eigenvalues and eigenvectors, digitalization and canonical forms, and the Cayley Hamilton Theorem.
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MAT 305 - Linear Algebra
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MAT 306: Modern Algebra II
3.00 Credits
Allen University
Prerequisite: MAT 304 This course is a continuation of MAT 304.
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MAT 306 - Modern Algebra II
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MAT 309: Number Theory
3.00 Credits
Allen University
Prerequisite: MAT 306 The topics of this course include the divisibility of integers, congruencies, Diophantine equations, perfect numbers, distribution of prime, and quadratic residues.
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MAT 309 - Number Theory
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MAT 311: Technical Writing in Science
3.00 Credits
Allen University
This course introduces the technical writing Scientific reports such as abstract, scientific information description and summary, critical thinking and analysis in science and presentation.
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MAT 311 - Technical Writing in Science
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MAT 316: Numerical Analysis
3.00 Credits
Allen University
Prerequisites: MAT 202, MAT 216, and MAT 305 This course deals with computerized mathematical computations. Topics include the numerical solution of systems of equations, numerical integration, and numerical integration and numerical solutions of differential equations.
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MAT 316 - Numerical Analysis
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MAT 327: Thermodynamics
3.00 Credits
Allen University
Prerequisite: MAT 202 This course will introduce the thermodynamics systems; works; first and second laws of thermodynamics; Auxiliary functions, Entropy; Enthalpy, Helmholzt Energy, Gibbs Energy, Thermodynamics of gases.
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MAT 327 - Thermodynamics
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MAT 328: Fluid Dynamics
3.00 Credits
Allen University
Prerequisite: MAT 202 This course introduces laws of mechanics and thermodynamics applied to fluids at rest and in motion; potential flow; dimensional analysis; viscous flow; pipe flow; boundary-layer theory; compressive flow.
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MAT 328 - Fluid Dynamics
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MAT 350: Introduction to Proofs
3.00 Credits
Allen University
Prerequisite: MAT 200 This course covers the fundamentals of proofs, including conditional proof, mathematical induction and proofs by contradiction, as well as quantificational logic. Emphasis is placed on writing proofs.
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MAT 350 - Introduction to Proofs
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MAT 351: Electro- Magnetism I
4.00 Credits
Allen University
Prerequisites: PHY 312 and MAT 202 This course introduces electromagnetic principles, the basic electromagnetic theory and its applications. Electrostatic and magnetostatic of free space, conductors, dielectric and magnetic materials, potential electric, DPE.
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MAT 351 - Electro- Magnetism I
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MAT 352: Electro- Magnetism II
4.00 Credits
Allen University
Prerequisites: PHY312, MAT301, and MAT303 The continuation of PHY351, Maxwell's equations in integral and differential forms with associated boundary conditions as descriptions of all electromagnetic principles, quasistatic electric fields in free space and in materials, superposition for known charge sources, conduction and polarization, resistance and capacitance, charge relaxation, analytic methods for electric field boundary value problems, quasistatic magnetic fields in free space and in materials, superposition for known current sources, magnetization, inductance, magnetic diffusion, and analytic and numerical methods for magnetic field boundary value problems.
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MAT 352 - Electro- Magnetism II
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