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MATH 395: Selected Topics in MATH II
1.00 - 3.00 Credits
Point Park University
Selected Topics in MATH
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MATH 395 - Selected Topics in MATH II
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MATH 396: Independent Study in MATH II
1.00 Credits
Point Park University
No course description available.
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MATH 396 - Independent Study in MATH II
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MATH 410: Geometry
3.00 Credits
Point Park University
Geometry from an advanced viewpoint including analysis of geometric notions and axioms and the student of discrete geometrics. Euclidean and non- Euclidean geometries using synthetic, algebraic and transformational methods are discussed. Course Objectives (1) Explain the use and purpose of axiomatic systems (2) Derive and prove theorems in finite and incidence geometries (3) State and apply axioms of Euclidean geometry (4) Explain the essential differences between Euclidean and non-Euclidean geometries (5) Investigate the absence of the parallel postulate in neutral geometry (6) Prove the basic theorems of high school geometry and solve problems encountered there including rectangles, parallel lines, triangles (including congruence, area, and similarity), circles, and Euclidean constructions
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MATH 410 - Geometry
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MATH 420: Numerical Analysis
3.00 Credits
Point Park University
No course description available.
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MATH 420 - Numerical Analysis
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MATH 495: Selected Topics in MATH III
1.00 Credits
Point Park University
No course description available.
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MATH 495 - Selected Topics in MATH III
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MATH 496: Independent Study in MATH III
1.00 Credits
Point Park University
No course description available.
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MATH 496 - Independent Study in MATH III
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MATH 499: Honors Internship in Mathematics
0.00 Credits
Point Park University
Available to qualified students as a practicum within the University or in conjunction with an external agency. Requires regular progress reports and a final paper. May be repeated for credit. Prerequisites: Consent of an instructor or act as a sponsor, acceptance by an agency if applicable, approval of department chair, and overal GPA of 3.30 and a departmental GPA of 3.50.
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MATH 499 - Honors Internship in Mathematics
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ME 101: Statics
3.00 Credits
Point Park University
Introduction to mechanical engineering through the study of the equilibrium of particles and rigid bodies using trigonometry and vector analysis. The ability to compose complete free body diagrams is strongly emphasized. Vector methods are employed to investigate forces and moments in planar and three-dimensional problems. Pin jointed frames are analyzed using the method of joints and the method of sections. Problems involving friction and systems of cables and pulleys are solved. Properties of area including centroid first moment and second moment complete the course. Co-requisite: MATH 181. Course Objectives Upon successful completion of the course, students will be able to: (1) Decompose a force into components in the direction of principal axes and decompose a moment into components about principal axes. (2) Resolve systems of forces and moments into resultant forces and moments using trigometric and vectoral methods. (3) Compose clear and complete free body diagrams. (4) Represent moments as vectors and use the known magnitude and direction about a given axis to find the magnitude and direction about a different axis through a common origin. (Drive shaft torque problems). (5) Use zero summation of forces and moments to determine reactions at support points of beams and trusses. (6) Analyze a truss by the method of joints and the method of sections. (7) Analyze three-dimensional frames using vectors. (8) Use knowledge of centroid and second moment of area of elemental areas to these properties for a composition of these areas.
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ME 101 - Statics
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ME 102: Dynamics
3.00 Credits
Point Park University
The kinematics and kinetics associated with the simple or complex motion of particles and rigid bodies based upon the principles of the differential and integral calculus. Kinematics involves analysis and quantification of position, velocity and acceleration of the body. Kinetics involves applied force, momentum, potential and kinetic energy, impulse and moment of momentum. The course includes extensive coverage of ballistics, relative motion and central force field problems. Prerequisite: ME 101. Co-requisite: MATH 190. Course Objectives Upon successful completion of the course, students will be able to: (1) Analyze accelerated rectilinear motion. (2) Analyze accelerated motion along curved paths. (3) Equate summations of forces or torques obtained from a system free body diagram with those obtained from inertial considerations. (4) Solve problems involving the exchange of potential and kinetic energy. (5) Quantify work. (6) Apply the principles of impulse and momentum. (7) Solve problems involving direct and oblique central impact. (8) Use the concept of moment of momentum to solve central force field problems.
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ME 102 - Dynamics
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ME 194: Special Topics (CORE)
3.00 Credits
Point Park University
No course description available.
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ME 194 - Special Topics (CORE)
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