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  • MATH 236W: Discrete Mathematics

    3.00 Credits
    Ursinus College

    Dr. Berman, Dr. Williams A course designed to bridge the gap between computation-oriented introductory courses and prooforiented advanced courses. The language of contemporary mathematics, including the proper way to write mathematics, and the nature of mathematical reasoning. Extensive writing projects. Topics studied may include axiomatic systems, logic, set theory, functions, mathematical induction, graph theory and trees, permutations and combinations. Prerequisite: MATH-111, or permission of the instructor. Offered in the spring semester. Three hours per week. Four semester hours. (M.)
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  • MATH 241Q: Statistics I

    4.00 Credits
    Ursinus College

    Faculty Statistical methods of studying data, measures of central tendency and dispersion, probability, and distributions including: binomial, normal, and Student's t; confidence intervals and hypothesis testing. Computer statistical packages. Offered both semesters. Four hours per week. Four semester hours. (M.) Note: Students with credit for MATH-342 or MATH-442 may not enroll in MATH-241.
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  • MATH 242: Statistics II

    3.00 Credits
    Ursinus College

    Dr. Coleman A continued study of basic statistical techniques including basic concepts of experimental design, techniques of analysis of variance, methods of regression analysis, linear models, chi-square tests and nonparametric statistics. Prerequisite: MATH-241 or 442. Offered in the spring semester. Three hours of lecture and two hours of laboratory per week. Four semester hours. (M.)
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  • MATH 243: Biostatistics

    3.00 Credits
    Ursinus College

    Dr. Coleman Statistical techniques appropriate to the biological sciences. Topics such as experimental design, hypothesis testing, nonparametric methods, chi-square tests, simple and multiple regression, analysis of variance. Prerequisite: MATH-241 or 442. Offered in the fall semester. Three hours of lecture and two hours of laboratory per week. Four semester hours. (M.) Note: Students may not receive credit for both MATH-242 and MATH-243.
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  • MATH 310: Differential Equations and Mathematical Models

    3.00 Credits
    Ursinus College

    Dr. Yahdi Mathematical methods for developing models in the physical, biological, and social sciences. Emphasis on models involving differential equations. Solutions, visualizations, and interpretations of first order, second order, and systems of linear and non-linear differential equations. Numerical, graphical and analytic methods, with extensive qualitative analysis approaches. Laplace transforms. Independent projects. Additional topics chosen from forcing and resonance, discrete dynamical systems, and power series solutions. Use of a computer algebra system. Prerequisite: MATH-112. Offered in the fall of even years. Three hours per week. Four semester hours. (M.)
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  • MATH 311: Analysis I

    3.00 Credits
    Ursinus College

    Faculty An introduction to the real number system and set operations; theoretical treatment of supremum, infimum, countability, sequences, limits, continuity, and differentiability. Additional topics may include series, structure of point sets and abstract metric spaces. Emphasis on writing mathematical proofs. Prerequisite: MATH-211 and 236W. Offered in the fall semester. Three hours per week. Four semester hours. (M.)
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  • MATH 312: Analysis II

    3.00 Credits
    Ursinus College

    Dr. Yahdi A continuation of MATH-311. The Riemann and Riemann-Stieltjes integral; infinite series, sequences and series of functions; introduction to metric spaces. Additional topics may include Lebesgue measure and integration, orthogonal functions and Fourier series. Prerequisite: MATH-311. Offered as needed.Three hours per week. Four semester hours. (M.)
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  • MATH 322: Modern Geometry

    3.00 Credits
    Ursinus College

    Dr. Berman, Dr. Williams Topics in Euclidean and non-Euclidean geometry, including some of the following: geometry from an axiomatic viewpoint, synthetic Euclidean geometry, transformation geometry and symmetry, affine and projective geometry, inversive geometry, spherical geometry, and hyperbolic geometry. Prerequisites: MATH- 235 and 236W, or permission of the instructor. Offered in the spring of odd years. Three hours per week. Four semester hours. (M.)
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  • MATH 335: Abstract Algebra

    3.00 Credits
    Ursinus College

    Dr. Goebeler An introduction to algebraic structures, with emphasis on groups: Subgroups, quotient groups, homomorphisms, isomorphism theorems, Cayley's theorem, permutation groups. Prerequisites: MATH-235 and 236W. Offered in the spring semester. Three hours per week. Four semester hours. (M.)
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  • MATH 341: Probability

    3.00 Credits
    Ursinus College

    Dr. Coleman An introduction to probability theory, discrete and continuous probability distributions, moments and moment-generating functions of random variables, transformations of random variables. Prerequisite: MATH- 211. Offered in the fall semester. Four hours per week. Four semester hours. (M.)
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