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  • MAT 470: Numerical Analysis

    3.00 Credits
    York College of Pennsylvania

    Spring Semester (odd-numbered years) This is an advanced mathematics course covering selected topics in the field of applied mathematics. These topics will include: Taylor series expansions and approximations, numerical integration and differentiation, solution of systems of equations, and numerical solution of ordinary and partial differential equations representing dynamics of physical systems. Solutions to the differential equations may be applied to mathematical modeling of vibrations, fluid flow, heat transfer, or other dynamical phenomena. The student will be required to write several computer programs for this course. Prerequisites: MAT272 with a grade of 2.0 or higher, Knowledge of C++ or Visual Basic 3 credit hours.
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  • MAT 473: Partial Differential Equations

    3.00 Credits
    York College of Pennsylvania

    An introduction to the study of partial differential equations, concentrating on the 3 major partial differential equations of mathematics and physics: the Heat Equation, the Wave Equation, and LaPlace's Equation. Prerequisite: MAT272 with a grade of 2.0 or higher. 3 credit hours.
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  • MAT 477: Complex Analysis

    1.00 Credits
    York College of Pennsylvania

    A one-semester course in the theory and applications of functions of a complex variable. Topics include the Cauchy-Riemann equations, Cauchy's theorem and contour integration, series representation of analytic functions, residue theory, and conformal mapping. Prerequisites: MAT272, MAT371 each with a grade of 2.0 or higher. 3 credit hours.
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  • MAT 480: Point-Set Topology

    3.00 Credits
    York College of Pennsylvania

    Spring Semester (odd numbered years) A study of topological spaces and related concepts, including closed and open sets, subspaces, the product topology, connectedness, compactness, and the separation axioms. Prerequisites: MAT172, MAT280 each with a grade of 2.0 or higher. 3 credit hours.
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  • MAT 490: Mathematics Internship

    3.00 Credits
    York College of Pennsylvania

    This off-campus internship is designed to give the students an opportunity to make use of the practical aspects of their classroom knowledge, thus developing their confidence and understanding through experience. The corporate supervisor and the faculty supervisor will evaluate student's performance. Prerequisites: Junior standing including MAT171, MAT172, MAT271, and MAT272, each with a grade of 2.0 or higher as well as department approval of each participant's individual program. 3 credit hours.
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  • MAT 495: History of Mathematics

    3.00 Credits
    York College of Pennsylvania

    Fall Semester A study of the historical development of mathematical ideas. The course emphasizes the contributions to mathematics made by different cultures. Prerequisite: MAT172 with a grade of 2.0 or higher and a minimum of 89 credits. 3 credit hours.
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  • MAT 496: MAT497 Reading and Research in Mathematics

    3.00 Credits
    York College of Pennsylvania

    Fall-Spring Semesters The course is designed to allow the student to pursue an area of interest in the field of mathematics. This course is limited to seniors who have previously demonstrated a high degree of proficiency in mathematics. 3 credit hours.
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  • ME 250: Statics

    3.00 Credits
    York College of Pennsylvania

    Fall and Summer Semesters The course emphasizes the proper utilization of vector algebra and free body diagrams to solve problems in engineering statics. Vectors are used to describe the action of forces and moments acting on particles (point masses) and rigid bodies, which are fixed in space or undergoing uniform motion.. The course begins with a description of how the topic of Statics fits into the broad picture of the engineering curriculum, and more particularly, the area known as Engineering Mechanics. The course then moves into six major areas of study: (i) vector algebra of forces and moments, (ii) free body diagrams and equilibria of particles and rigid bodies, (iii) centroids and centers of gravity, (iv) internal forces in trusses and frames, (v) friction and applications to machines, and (vi) moments of inertia. The course may also include a team project involving the design, build and test (to failure) of a load-supporting structure subject to a given set of design constraints. Prerequisites: MAT172 and PHY160. 3 credit hours.
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  • ME 252: Dynamics and Vibration

    3.00 Credits
    York College of Pennsylvania

    Spring Semester The course emphasizes the proper utilization of vector algebra and free body diagrams to solve problems in engineering dynamics. Vectors are used to describe the action of forces and moments acting on particles (point masses) and rigid bodies and to determine their resulting motion. The course begins with a description of how the topic of Dynamics and Vibration fits into the broad picture of the engineering curriculum, and more particularly, the area known as Engineering Mechanics. The course then moves into five major areas of study: (i) dynamics of a particle, (ii) dynamics of particle systems, (iii) planar kinematics of rigid bodies, (iv) planar kinetics of rigid bodies, and (v) vibrations of a particle. The course includes laboratory work and use of computer software to model dynamic systems. The course may also include building and testing a dynamical system, the operation of which must meet a set of desired specifications. A written project report is required and evaluated. Prerequisites: ME250 and MAT272. 4 credit hours.
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  • ME 260: Materials Science

    3.00 Credits
    York College of Pennsylvania

    Fall Semester This course investigates the relationships that exist between the microstructure (atomic arrangements, crystal structure, defect distribution, phase composition) of engineering materials and their physical (mechanical, electrical, optical) properties. Each class of materials-metals, ceramics, semiconductors, polymers-is discussed in this context. Topics include atomic structure and packing, crystallography, defects and dislocations, phase equilibria and the kinetics of solid-state reactions, alloys, ceramics and glasses, polymers, composites, corrosion, and the selection of engineering materials for specific applications. Prerequisites: CHM134. Corequisite: ME261. 3 credit hours.
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