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Course Criteria
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1.00 - 4.00 Credits
Supervised work experience in which student completes academic assignments integrated with off-campus paid or volunteer activities. Prerequisites: at least 2.0 GPA; departmental approval of activity; completion of lower division Mathematics major requirements and upper division standing. A maximum of 2 units will be accepted toward the Mathematics major. May be repeated for credit, for a maximum of 8 units. CR/NC grading only.
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4.00 Credits
Properties of 2- and 3-dimensional figures including congruence, similarity, proportional reasoning, area, perimeter, volume, surface area. Informal constructive proofs of properties of angles, polygons, parallel lines and the Pythagorean theorem. Transformational geometry. Measurement systems, estimation, coordinate geometry. Prerequisite: MATH 2011. Not open to students with credit for MATH 4022.
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4.00 Credits
Displaying and interpreting data via graphs, tables and charts. Descriptive statistics, including mean, median, mode and range. Basic Survey design, including possible sources of biases. Elementary discrete probability. Dependent and independent events. Prerequisites: MATH 2011 and satisfactory completion of the Entry Level Mathematics requirement. Cross-listed with STAT 4013. Not open to students with credit for MATH 4023.
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4.00 Credits
Patterns and functional relationships. Linear and quadratic equations and inequalities. Interpretation of graphs, multiple representations of functions. Factoring and completing the square. Proportional reasoning. Systems of linear equations. Prerequisites: MATH 2011 and satisfactory completion of the Entry Level Mathematics requirement. Not open to students with credit for MATH 4024.
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4.00 Credits
Foundations of school mathematics from an advanced standpoint. An in depth study of middle and high school level algebra, geometry and number theory and its applications, theoretical foundations and extensions. Intended for prospective elementary and middle school teachers. Prerequisites: Math 2011 and Math 1130 or consent of instructor. A-F grading only.
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4.00 Credits
The historical development of mathematical ideas and techniques. Prerequisite: calculus or consent of instructor.
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4.00 Credits
The propositional calculus and its completeness. Boolean algebras. Functional calculi of various orders. Theorems of Godel and Henkin. Prerequisite: Senior standing in mathematics or consent of instructor.
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4.00 Credits
Theory of groups, including factor groups, Jordan-Holder Theorem, Sylow theorems. Mappings and homomorphisms. Introduction to rings and fields. Topics continued in MATH 6121. Prerequisite: MATH 3122.
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4.00 Credits
Introduction to graph theory. Graphic sequences. Planar graphs and the theorems of Euler and Kuratowski. Bipartite graphs. Connectivity and spanning trees. Hamiltonian graphs. Matching, chromatic and characteristic polynomials. Cospectral graphs and the graph isomorphism problem. Algorithms. Prerequisites: MATH 2101 and either 2150 or 3000.
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4.00 Credits
Topics in geometry such as algebraic, differential, finite, or projective geometry, convexity, packing and tiling, polytopes, and isoperimetric problems. Prerequisites: MATH 3215 or consent of instructor. May be repeated once for credit with consent of the chair, for a maximum of 8 units.
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