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LBST 260 ,360, 460: Topics in Mathematics
4.00 Credits
University of Redlands
Fall (4 credits) or Spring (4 credits) or May Term (3 credits). A group of students pursue topics in mathematics not otherwise covered in the curriculum. Prerequisite: permission. May be repeated for degree credit, but maximum of 8 credits allowed for the degree from 260, 360, and 460. Offered as needed.
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LBST 260 ,360, 460 - Topics in Mathematics
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LBST 301: Mathematical Consulting
3.00 Credits
University of Redlands
Fall (2-4) or Spring (2-4). Application of mathematical techniques to real-world problems. Groups of students act as consultants on problems solicited from university departments, local businesses, and/or charitable organizations. Additional material may be included as needed. Prerequisites: BUS 220, or ECON 200, or MATH 111, or PSYC 250, or permission. May be repeated for degree credit, but at most 4 credits may be applied toward the math major or minor. EV only.
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LBST 301 - Mathematical Consulting
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LBST 311: Probability
4.00 Credits
University of Redlands
Fall (4 credits). Introduction to the theory of probability with applications in management science and the physical and social sciences. Topics include combinatorial probability, densities, mathematical expectation, moment-generating functions, and the central limit theorem. Prerequisite: MATH 221.
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LBST 311 - Probability
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LBST 312: Mathematical Statistics
4.00 Credits
University of Redlands
Spring (4 credits). Principles of statistical decision theory. Estimation and hypothesis testing, regression, parametric and non-parametric tests. Mathematical theory and applications of above. Prerequisite: MATH 311 or permission. Offered in alternate years.
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LBST 312 - Mathematical Statistics
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LBST 321: Real Analysis
4.00 Credits
University of Redlands
Fall (4 credits). Rigorous approach to the concepts underlying the calculus, building on the fundamental idea of the limit within the real number system. Topics include metric spaces, continuity, the derivative, the Riemann integral, and series of constants and functions. Prerequisites: MATH 201 or 204, 221 and 241 and junior standing or permission.
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LBST 321 - Real Analysis
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LBST 325: Complex Analysis
4.00 Credits
University of Redlands
Spring (4 credits). Analytic functions and their properties, including contour integrals, residues, transforms, and conformal mappings. Prerequisites: MATH 321. Offered in alternate years.
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LBST 325 - Complex Analysis
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LBST 331: Numerical Analysis
4.00 Credits
University of Redlands
Fall (4 credits) or Spring (4 credits). The theory and application of numerical methods for solving mathematical problems. Topics include numerical methods for solving algebraic equations and ordinary differential equations, interpolation and approximation, and numerical integration. Prerequisite: MATH 235 or MATH 241. Offered in alternate years.
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LBST 331 - Numerical Analysis
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LBST 335: Advanced Modeling Techniques
4.00 Credits
University of Redlands
Spring (4 credits). Techniques for mathematical modeling of continuous, discrete, and stochastic systems are presented. Topics include purpose and validation, continuous systems, random numbers and variables, and discrete systems. Prerequisite: MATH 235; MATH 311 recommended. Offered as needed.
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LBST 335 - Advanced Modeling Techniques
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LBST 341: Abstract Algebra
4.00 Credits
University of Redlands
Fall (4 credits). Study of significant algebraic structures and their properties, with particular attention given to groups, rings, and fields. Prerequisites: MATH 201 or 204, and 241 and junior standing or permission.
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LBST 341 - Abstract Algebra
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LBST 355: Point Set Topology
4.00 Credits
University of Redlands
Spring (4 credits). Metric spaces, topological spaces, continuous mappings and homeomorphisms, connectedness and compactness. Prerequisite: MATH 321. Offered in alternate years.
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LBST 355 - Point Set Topology
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