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ACMS 22550: Introduction to Applied Mathematics Methods I Tutorial
0.00 Credits
University of Notre Dame
Tutorial for Introduction to Applied Mathematics Methods I
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ACMS 22550 - Introduction to Applied Mathematics Methods I Tutorial
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ACMS 22750: Introduction to Applied Mathematics Methods II Tutorial
0.00 Credits
University of Notre Dame
Tutorial for Introduction to Applied Mathematics Methods II.
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ACMS 22750 - Introduction to Applied Mathematics Methods II Tutorial
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ACMS 30440: Probability and Statistics
3.00 Credits
University of Notre Dame
An introduction to the theory of probability and statistics, with applications to the computer sciences and engineering. Topics include discrete and continuous random variables, joint probability distributions, the central limit theorem, point and interval estimation and hypothesis testing.
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ACMS 30440 - Probability and Statistics
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ACMS 30530: Introduction to Probability
3.00 Credits
University of Notre Dame
An introduction to the theory of probability, with applications to the physical sciences and engineering. Topics include discrete and continuous random variables, conditional probability and independent events, generating functions, special discrete and continuous random variables, laws of large numbers and the central limit theorem. The course emphasizes computations with the standard distributions of probability theory and classical applications of them.
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ACMS 30530 - Introduction to Probability
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ACMS 30540: Mathematical Statistics
3.00 Credits
University of Notre Dame
An introduction to mathematical statistics. Topics include distributions involved in random sampling, estimators and their properties, confidence intervals, hypothesis testing including the goodness-of-fit test and contingency tables, the general linear model and analysis of variance.
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ACMS 30540 - Mathematical Statistics
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ACMS 40210: Basic Combinatorics
3.00 Credits
University of Notre Dame
An introduction to the theory of combinatorics. Topics include permutations, multinomial coefficients, the theory of enumerative combinatorics, pairing problems, recurrence relations, the inclusion-exclusion principle, graph theory, algebraic coding theory and symbolic dynamics.
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ACMS 40210 - Basic Combinatorics
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ACMS 40390: Numerical Analysis
3.00 Credits
University of Notre Dame
An introduction to the numerical solution of ordinary and partial differential equations. Topics include the finite difference method, projection methods, cubic splines, interpolation, numerical integration methods, analysis of numerical errors, numerical linear algebra and eigenvalue problems, and continuation methods.
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ACMS 40390 - Numerical Analysis
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ACMS 40570: Mathematical Methods in Financial Economics
3.00 Credits
University of Notre Dame
An introduction to financial economic problems using mathematical methods, including the portfolio decision of an investor and the determination of the equilibrium price of stocks in both discrete and continuous time, will be discussed. The pricing of derivative securities in continuous time including various stock and interest rate options will also be included. Projects reflecting students' interests and background are an integral part of this course.
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ACMS 40570 - Mathematical Methods in Financial Economics
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ACMS 40730: Mathematical/Comp Modeling
3.00 Credits
University of Notre Dame
Introductory course on applied mathematics and computational modeling with emphasis on modeling of biological problems in terms of differential equations and stochastic dynamical systems. Students will be working in groups on several projects and will present them in class in the end of the course.
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ACMS 40730 - Mathematical/Comp Modeling
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ACMS 40750: Partial Differential Equations
3.00 Credits
University of Notre Dame
An introduction to partial differential equations. Topics include Fourier series, solutions of boundary value problems for the heat equation, wave equation and Laplace's equation, Fourier transforms, and applications to solving heat, wave and Laplace's equations in unbounded domains.
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ACMS 40750 - Partial Differential Equations
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