Courses

This course introduces the student to the application of surveying and drafting principles to depict accurately a section of terrain with respect to elevations, distance, and contour lines. Topics include cross sections, contour lines, and stadia. Upon completion, students will be able to complete a topographical survey of a piece of property and draw a contour map of the property.

This course focuses on the CAD plotting of surveyor's field notes. Includes drawing elevations, contour lines, plan and profiles, and laying out traverses.

Topological Data Analysis with a view toward persistent homology of point clouds for applications to data analysis; homology of simplicial complexes over a field; functorial clustering methods; persistent homology; real-world applications to data analysis.

Metric spaces, continuity, sequences, equivalent metrics, topological spaces and homeomorphisms, products, connectedness and compactness.

Metric spaces, continuity, sequences, equivalent metrics; topological spaces and homeomorphisms; products; and connectedness and compactness. Offered when there is sufficient demand.

An introduction to metric and topological spaces and associated topics, separation axioms, compactness, and connectedness.

Generalization of such topics as functions, continuous functions, open, closed, compact, and connected MTH 2227, MTH 3318, or permission of the instructor.

Students explore properties of geometric spaces that are preserved under deformation-stretching topological spaces, connectedness, compactness, manifolds, cell complexes, classification of surfaces, and covering spaces.

Axioms of a topological space; open and closed sets; compactness; connectedness; Additional topics will be selected from completeness, continua, separation axioms, awarded for both MATH 5340 and MATH 6340.

Axioms of a topological space; open and closed sets; compactness; basis; product will be selected from connectedness, completeness, continua, separation axioms, awarded for both MATH 5340 and MATH 6340.