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Course Criteria
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3.00 Credits
Basic number theory including divisibility and congruencies. Topics in finite mathematics. Prerequisites: MATH 1508 or MATH 1411, and MATH 3308, each with a grade of ?C? or better.
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3.00 Credits
This course focuses on proportional and algebraic reasoning for prospective elementary teachers. Topics include ratios as measures, ratios as multiplicative comparisons, proportions, rates of change, patterns, linear functions, and solving leaner equations, inequalities, and systems. The focus is on identifying relationships between quantities in contextualized problems, using inductive reasoning to identify patterns and express them algebraically making connections among verbal, graphic, numeric, and symbolic representations, solving problems using concrete, numeric, tabular, graphic, and algebraic methods, and addressing students? misconceptions and errors. Prerequisite: MATH 2303 with a grade of ?C? or better.
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3.00 Credits
This course focuses on proportional and algebraic reasoning for prospective middle school teachers. Topics include ratios as measures, ratios as multiplicative comparisons, proportions, ratios of change, patterns, linear functions, and algebra as generalized arithmetic. The focus is on reasoning to identify patterns and express them algebraically making connections among verbal, graphic, numeric, symbolic representations; solving problems using concrete, numeric, tabular, graphic, and algebraic methods; and addressing students? misconceptions and errors. Prerequisite: MATH 2303 with a grade of ?C? or better.
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3.00 Credits
This course focuses on foundational concepts in algebra for prospective middle school teachers. Topics include co-variation of quantities, rates of change in numerical, graphical, and symbolic representations, average and instantaneous rates of change, concept of limit, equations, and inequalities, contrasting linear and exponential functions, contrasting arithmetic and geometric patterns, transformations of functions, operations on functions, inverse functions, irrational numbers, and complex numbers. The focus is on developing symbol sense and structure sense, using technology to explore functions and to make connections between graphical and symbolic representations, and understanding the different uses of letters and equal signs, and addressing students? misconceptions and errors. Prerequisite: MATH 3308 with a grade of ?C? or better.
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3.00 Credits
The course will be an introduction to the mathematical tools and models used in Asset Pricing: stochastic processes, stochastic differential equations, partial differential equations. The concept of financial derivatives will be discussed in detail; different types of options will be analyzed. The Black-Scholes model of option pricing will be introduced and the famous Black-Scholes equation derived. Prerequisites: MATH 1320 or higher and STAT 1380 or higher, each with a grade of C or better; and departmental approval.
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3.00 Credits
Galerkin method and its convergance, piecewise-affine and higher-order FEM in one spatial dimension, adaptivity, general concept of nodal elements, unisolvency, local and global finite element interpolants, conformity, continuous elements in two and three dimensions.
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3.00 Credits
Optimization of linear objective functions subject to linear constraints. Development of theory and algorithmic strategies for solving linear programming problems using interior-point methodology.
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3.00 Credits
This course prepares a student for research in applied mathematics on a specific topic. The topics may vary each semester. Each section is dedicated to a different topic. Course my be repeated for credit.
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3.00 Credits
The topics may vary each semester. Course may be repeated for credit.
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3.00 Credits
This course is offered through the UT Online Consortium.
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