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Course Criteria
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3.00 Credits
Techniques of integration; applications of integration; improper integrals; Taylor’s Theorem and applications; infinite series; differential equations. Credit will not be given for both Mathematics 212 and 231. Prerequisite: Mathematics 211 or one year of high school AP calculus. 3 sem. hrs. (FSSR) Date Approved: July 1, 2002.
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3.00 Credits
The basic theory and principles related to the design of modern scientific experiments. Topics include: analysis of variance (ANOVA) for experiments with a single factor, multiple comparisons of treatment means, factorial experiments, blocking, randomized block designs, Latin square designs, random effects models, analysis of covariance, nested models, and other topics. Prerequisite(s): Either Mathematics 119, Psychology 200, Chemistry 300, Business Administration 301, or Mathematics 330. Unit(s): 1
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3.00 Credits
Topics of calculus--limits, derivatives, integration--from the perspective of mathematical modeling in the natural sciences. Includes trigonometric, exponential, and logarithmic functions; techniques of integration; error analysis; differentiation of functions of two or more variables. Credit will not be given for both Mathematics 212 and 231. Prerequisite(s): One year of high school calculus or equivalent. General Education Requirement: (FSSR) Unit(s): 1
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3.00 Credits
Continuation of Mathematics 231. Taylor polynomial approximations; discrete and continuous probability; models of dynamical systems via difference equations, differential equations, and systems of linear difference equations, including relevant topics from linear algebra. Prerequisite(s): Mathematics 231. General Education Requirement: (FSSR) Unit(s): 1
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3.00 Credits
N-dimensional Euclidean space, functions of several variables, partial derivatives, multiple integrals, line and surface integrals, classical integral theorems, applications. Prerequisite(s): Mathematics 212 or 232. General Education Requirement: (FSSR) Unit(s): 1
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3.00 Credits
Vector spaces, matrices, systems of linear equations, linear transformations, applications. Prerequisite(s): Mathematics 212 or 232 or Computer Science 222. Unit(s): 1
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3.00 Credits
Logic, quantifiers, negations of statements with quantifiers, set theory, induction, counting principles, relations and functions, cardinality. Emphasis on methods of proof and proper mathematical expression. Prerequisite(s): Mathematics 212 or 232. Unit(s): 1
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3.00 Credits
Systematic study of the theory of groups, rings and fields. Prerequisite(s): Mathematics 245 and 250. Mathematics 306 is prerequisite to 307. Unit(s): 1-1
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3.00 Credits
Differentiation of vector-valued functions, Jacobians, integration theorems in several variables. Fourier series, partial differential equations. Prerequisite(s): Mathematics 235. Unit(s): 1
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3.00 Credits
Introduction to ordinary differential equations and their use as models of physical systems. Linear and nonlinear equations and systems of equations, including existence and uniqueness theorems, analytical solution techniques, numerical methods, and qualitative analysis. Includes studies of global behavior and local stability analysis of solutions of nonlinear autonomous systems; bifurcation analysis; Laplace transforms. Application and modeling of real phenomena included throughout. Prerequisite(s): Mathematics 212 or 232. Corequisite: Mathematics 245. Unit(s): 1
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