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MATH 472: Introduction to Topology
3.00 Credits
Colorado State University-Fort Collins
Fall (even years). Prerequisite: MATH 317. Topologies on sets, continuous functions, homeomorphisms. Sequences and convergence, metric spaces, Connectedness, path-connectedness. Separation properties. Compactness, Countability axioms.
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MATH 472 - Introduction to Topology
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MATH 474: Introduction to Differential Geometry
3.00 Credits
Colorado State University-Fort Collins
Spring (odd years). Prerequisite: MATH 261; MATH 369. Local and global geometry of curves and surfaces in Euclidean space, curvature, covariant differentiation, geodesics and the Gauss-Bonnet theorem.
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MATH 474 - Introduction to Differential Geometry
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MATH 476: Topics in Mathematics
3.00 Credits
Colorado State University-Fort Collins
Fall, Spring, Summer. Prerequisite: Written consent of instructor. Study experiences which deal with established content areas in mathematics.
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MATH 476 - Topics in Mathematics
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MATH 484: Supervised College Teaching
1.00 - 3.00 Credits
Colorado State University-Fort Collins
Fall, Spring. Prerequisite: Written consent of instructor.
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MATH 484 - Supervised College Teaching
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MATH 487: Internship
1.00 - 16.00 Credits
Colorado State University-Fort Collins
Fall, Spring, Summer. Prerequisite: Written consent of instructor. A work-learn experience integrating classroom theory with practical experience.
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MATH 487 - Internship
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MATH 495: Independent Study
1.00 - 18.00 Credits
Colorado State University-Fort Collins
Fall, Spring. Summer. Prerequisite: Written consent of instructor.
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MATH 495 - Independent Study
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MATH 498: Undergraduate Research in Mathematics
1.00 - 3.00 Credits
Colorado State University-Fort Collins
Fall, Spring, Summer. Prerequisite: Written consent of instructor. Research skills and techniques taught to suit student's level and interests. Includes both oral and written communication of results.
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MATH 498 - Undergraduate Research in Mathematics
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MATH 501: Combinatorics I
3.00 Credits
Colorado State University-Fort Collins
Fall. Prerequisite: MATH 301; MATH 360 or MATH 366. Puzzles, numbers and counting, subsets, recurrence relations, generating functions, inversion, counting with symmetry, networks, matchings.
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MATH 501 - Combinatorics I
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MATH 502: Combinatorics II
3.00 Credits
Colorado State University-Fort Collins
Spring. Prerequisite: MATH 501. Graph algorithms, external set theory; partitions, Hadamard matrices, q-binomials, finite geometries, strongly regular graphs, triple systems, designs.
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MATH 502 - Combinatorics II
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MATH 505: Teaching Problem Solving in Mathematics K-12
3.00 Credits
Colorado State University-Fort Collins
Fall, Spring. Prerequisite: Teacher licensure. Offered as telecourse only. Problem-solving strategies, cooperative learning, and manipulatives for K-12 classroom.
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MATH 505 - Teaching Problem Solving in Mathematics K-12
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