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MATH M572: Analysis of Numerical Methods II
3.00 Credits
Indiana University-South Bend
P: MATH-M 343, MATH-M 571. Solution of systems of linear equations, elimination and iterative methods, error analyses, eigenvalue problems; numerical methods for integral equations and ordinary differential equations; finite difference, finite element, and Galerkin methods for partial differential equations; stability of methods. P = Prerequisite, R = Recommended, C = Concomitant I = fall semester, II = spring semester, S = summer session(s)
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MATH M572 - Analysis of Numerical Methods II
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MATH M575: Simulation Modeling
3.00 Credits
Indiana University-South Bend
P: MATH-M 209 or MATH-M 216; MATH-M 365, MATH-M 463, or CSCI-C 455; CSCI-C 101. The statistics needed to analyze simulated data; examples such as multiple server queuing methods, inventory control, and exercising stock options; variance reduction variables and their relation to regression analysis. Monte Carlo method, Markov chain, and the alias method for generating discrete random variables.
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MATH M575 - Simulation Modeling
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MATH M576: Forecasting
3.00 Credits
Indiana University-South Bend
P: MATH-M 301, MATH-M 365, or MATH-M 466. Forecasting systems, regression models, stochastic forecasting, time series, smoothing approach to prediction, model selection, seasonal adjustment, Markov chains, Markov decision processes, and decision analysis.
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MATH M576 - Forecasting
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MATH M577: Operations Research: Modelingapproach
3.00 Credits
Indiana University-South Bend
P: MATH-M 209, MATH-M 212, MATH-M 216, or MATH-M 301, . Mathematical methods of operations research used in the biological, social, management sciences. Topics include modeling, linear programming, the simplex method, duality theory, sensitivity analysis, and network analysis. Credit not given for both MATH-M 577 and MATH-M 447.
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MATH M577 - Operations Research: Modelingapproach
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MATH T101: Mathematics For Elementary Teachers I
3.00 Credits
Indiana University-South Bend
P: MATH-M 14 or equivalent, or Level 3 on mathematics placement examination. The foundations of arithmetic, including elements of set theory, numeration systems, operations, fractions and elementary number theory. Emphasis is on explaining, illustrating, and communicating mathematical ideas. Does not satisfy liberal arts and sciences general education requirement. I, II, S
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MATH T101 - Mathematics For Elementary Teachers I
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MATH T102: Mathematics For Elementary Teachers II
3.00 Credits
Indiana University-South Bend
P: C or higher in MATH-T 101. Integers, rational and real numbers, equations, and inequalities, functions and graphs, measurement concept problem- solving elementary combinatorics, probability, and statistics. Emphasis is on applying problem-solving strategies in a variety of mathematical situations. Does not satisfy liberal arts and sciences general education requirement. I, II, S
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MATH T102 - Mathematics For Elementary Teachers II
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MATH T103: Mathematics For Elementary Teachers III
3.00 Credits
Indiana University-South Bend
P: C or higher in MATH-T 101. Topics include analysis and measurement of two- and three-dimensional figures; congruent and similar triangles, compass and straight-edge constructions. Emphasis is on the transition from visual and informal reasoning to formal reasoning about geometric objects and relationships. Does not satisfy liberal arts and sciences general education requirement. I, II, S
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MATH T103 - Mathematics For Elementary Teachers III
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MATH T201: Problem Solving
3.00 Credits
Indiana University-South Bend
P: Either C or higher in MATH-T 102 and MATH-T 103; or MATH-M 118 and MATH-M 125; or consent of instructor. Provides experiences in mathematical problem solving for future teachers of mathematics, and for others interested in mathematical thinking. Exploration and development of the general processes of mathematical thinking, including monitoring and reflection, conjecturing, justifying and convincing.
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MATH T201 - Problem Solving
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MATH T336: Topics in Euclidean Geometry
3.00 Credits
Indiana University-South Bend
P: MATH-M 301. Rigorous treatment of high school geometry topics, some advanced theorems and constructions, impossible constructions; transformations, dissection theory, projective geometry; formalization and non-Euclidean geometry. II (even years)
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MATH T336 - Topics in Euclidean Geometry
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MATH T436: Secondarymathematics For Teachers: an Advanced Perspective
3.00 Credits
Indiana University-South Bend
P: MATH-M 216 and one 300-level mathematics course, or permission of the instructor. Emphasizes developing a deeper understanding of secondary mathematics by examining its fundamental ideas from an advanced perspective. Topics selected from real and complex number systems, functions, equations, integers, polynomials, congruence, distance and similarity, area and volume, and trigonometry.
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MATH T436 - Secondarymathematics For Teachers: an Advanced Perspective
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