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Mathematics
and Statistics M301
Real Analysis Topics include the real number system, convergence of sequences and series, power series, uniform convergence, compactness and connectedness, continuity, abstract treatment of differential and integral calculus, metric spaces, and point-set topology. Satisfies
Science and Math II-A requirement. Prereq. Mathematics 251 or permission of instructor. M329 Topics in Geometry
& Topology This is an introduction to point-set topology (also referred to as general topology). Point-set topology is one branch of the much broader area, topology. It is concerned with the study of properties of abstract topological spaces and structures related to such spaces. The material covered in this course will provide the common foundation for courses in algebraic topology, geometric topology, and differential topology. The core topics to be studied include: basic set theory, various interesting topologies, continuous functions, connectedness and compactness, separation axioms, countability axioms, nets and filters. Satisfies Science and Math II-A requirement. Prereq. Mathematics 203, one of Mathematics 211 or 251, or permission of the instructor. M333
Differential Equations This is an introduction to differential equations for students in the mathematical or other sciences. Topics include first-order equations, second-order linear equations, qualitative study of dynamical systems, and first- and second-order linear partial differential equations. Satisfies Science and Math II-A requirement. Prereq. Mathematics 202. STAT341 Linear Statistical Models Mathematical concepts from linear algebra and n-dimensional Euclidean geometry, together with statistical concepts of estimation and hypothesis testing, are developed and used to construct a unifying theory for two classes of applied methods: analysis of variance and regression analysis. The theory is developed in three stages: least squares and orthogonal projections; moment assumptions and the Gauss-Markov theorem; and the normal distribution and F-tests. Satisfies
Science and Math II-A requirement. Prereq. Mathematics 211 STAT343 Mathematical
Statistics This course is an introduction to the mathematical theory of statistics and to the application of that theory to the real world. Topics include probability, random variables, special distributions, introduction to estimation of parameters, and hypothesis testing. Satisfies
Science and Math II-A requirement. Prereq. Mathematics 202 and 342 recommended. Click here to return to our Academics web page Click here to return to our Department Home page
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