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Course Criteria
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3.00 Credits
Fall (2-4), Spring (2-4), May Term (2-3). Exploratory internship experience relevant to teaching grades K-8. Students who do not intend to pursue a teaching credential may complete an internship in an alternative field.
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4.00 Credits
Fall (4 credits). Study of discrete mathematical topics important in both mathematics and computer science, including combinatorial techniques, sets and relations, algorithms, and graph theory. Prerequisite: MATH 122.
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3.00 Credits
May Term (3 credits). Introduction to the nature and structure of mathematics. Through active study and exploration of a selected area of discrete mathematics, students develop problemsolving skills as well as skills in proving mathematical theorems. A different topic is selected each year based on student and faculty interest. Prerequisite: MATH 122 or permission. May be repeated for up to 6 degree credits with departmental permission.
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4.00 Credits
Fall (4 credits), Spring (4 credits). Topics in multivariable calculus. Sequences, series, and Taylor series approximations. Prerequisite: MATH 122 or permission.
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4.00 Credits
Spring (4 credits). Investigation of the process of modeling. Special emphasis placed on how to build, test, and refine models; how to analyze assumptions and results; and defining model limitations. Deterministic and stochastic models, rate equations and population dynamics, and statistical analysis. Final project tied to outside interests. Prerequisite: MATH 121 or MATH 119 or permission. Cross-listed with EVST 231.
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4.00 Credits
Spring (4 credits). Scientific approach to decision-making by means of quantitative techniques. Topics include linear and non-linear programming, network analysis, game theory, and probabilistic models. Prerequisite: MATH 241 or permission. Offered in alternate years.
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4.00 Credits
Spring (4 credits). Differential equations theory and applications. First-order linear and nonlinear differential equations with analytic and numerical techniques. Higher-order linear differential equations and complex algebra. Phase trajectory and stability analysis. Systems of linear differential equations with constant coefficients. Matrix methods, Gauss-Jordan, and iterative techniques. Prerequisite: MATH 221.
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4.00 Credits
Spring (4 credits). Study of vector spaces. Topics include systems of linear equations, matrices, the geometry of vectors, vector spaces, linear transformations, eigenvalues and eigenvectors, determinants, and selected applications. Prerequisite: MATH 122. MATH 201 or 204, and 221 are strongly recommended.
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4.00 Credits
Spring (4 credits). Study in two related areas: number theory and history of mathematics. Number theory topics include primes, Diophantine equations, congruences, number theoretic functions, modern applications, and unsolved problems of number theory. Readings include both primary and secondary historical sources. Prerequisite: MATH 201 or 204. MATH 241 strongly recommended. Offered in alternate years.
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4.00 Credits
Fall (4 credits). A modern approach to classical geometries such as Euclidean, non-Euclidean, and projective. Sets, logic, and synthetic and analytic proof techniques in geometry are studied. Prerequisite: MATH 201 or 204. MATH 241 strongly recommended. Offered in alternate years.
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