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MAT 405: Topology
4.00 Credits
The College of New Jersey
Prerequisite: MAT 305 Students will gain acquaintance of various aspects of topology and its connections to analysis and algebra. This will include a thorough treatment of those aspects of point-set topology that lay the foundation for graduate study; i.e., continuity, compactness, connectedness and separation axioms. Also, this course will introduce students to manifold theory, including the classification of two-dimensional manifolds. The student will understand the role of topological invariants in the classifying topological spaces. This will lead to the classification of the surfaces. Lastly, students will see categorical relationships between topological objects and algebraic objects.
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MAT 405 - Topology
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MAT 407: Projective Geometry
4.00 Credits
The College of New Jersey
Prerequisite: MAT 305 An introduction to projective geometry. Topics include affine and projective plane, real projective plane, principle of duality, groups of automorphisms, and projective planes over division rings.
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MAT 407 - Projective Geometry
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MAT 440: Mathematical Logic
4.00 Credits
The College of New Jersey
Prerequisites: MAT 200, a 300-level MAT course and reserved for juniors and seniors. The process, characteristics, and limits of logical reasoning. Several logical languages will be developed from first principles. Students will become familiar with theorems on consistency and independence and develop an appreciation of Godel's incompleteness theorem. An introduction to set theory will be included to discuss infinite cardinals.
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MAT 440 - Mathematical Logic
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MAT 451: Seminar in Algebra
4.00 Credits
The College of New Jersey
Prerequisites: MAT 229 and MAT 305 A flexible course in which the content is selected from topics in algebra. This is an elective course designed to enrich the background of the student as well as to bridge the gap between undergraduate math and graduate math.
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MAT 451 - Seminar in Algebra
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MAT 452: Seminar in Geometry and Topology
4.00 Credits
The College of New Jersey
Prerequisites: MAT 229 and MAT 305 A flexible course in which the content is selected from topics in geometry and topology. This is an elective course designed to enrich the background of the student as well as to bridge the gap between undergraduate math and graduate math.
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MAT 452 - Seminar in Geometry and Topology
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MAT 453: Seminar in Analysis
4.00 Credits
The College of New Jersey
Prerequisites: MAT 229 and MAT 310 A flexible course in which the content is selected from topics in analysis. This is an elective course designed to enrich the background of the student as well as to bridge the gap between undergraduate math and graduate math.
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MAT 453 - Seminar in Analysis
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MAT 454: Seminar in Applied Mathematics
4.00 Credits
The College of New Jersey
Prerequisites: MAT 326 A flexible course in which the content is selected from topics in applied mathematics. This is an elective course designed to enrich the background of the students as well as to bridge the gap between undergraduate math and graduate math.
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MAT 454 - Seminar in Applied Mathematics
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MAT 470: Topics in Mathematics
4.00 Credits
The College of New Jersey
Advanced special topics in mathematics that will vary by semester.
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MAT 470 - Topics in Mathematics
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MAT 492: Guided Study in Mathematics II
1.00 - 8.00 Credits
The College of New Jersey
Prerequisite: Department permission. This course allows student to study advanced mathematical topics under the supervision of a faculty member.
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MAT 492 - Guided Study in Mathematics II
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MAT 493: Independent Research II in Mathematics
1.00 - 8.00 Credits
The College of New Jersey
Prerequisite: By invitation only Student will study and or do research independently in an appropriate area. A department member will be assigned to advise and direct the student.
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MAT 493 - Independent Research II in Mathematics
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