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Your search for courses · during 24FA, 25WI, 25SP · tagged with MATH Applied · returned 7 results

MATH 240 Probability 6 credits
Introduction to probability and its applications. Topics include discrete probability, random variables, independence, joint and conditional distributions, expectation, limit laws and properties of common probability distributions.
 Fall 2024, Winter 2025
 FSR, Formal or Statistical Reasoning

Student has completed any of the following course(s): MATH 120 – Calculus 2 or MATH 211 – Introduction to Multivariable Calculus or greater with a grade of C or better or received a score of 4 or better on the Calculus BC AP exam or equivalent.

MATH 241 Ordinary Differential Equations 6 credits
Ordinary differential equations are a fundamental language used by mathematicians, scientists, and engineers to describe processes involving continuous change. In this course we develop ordinary differential equations as models of real world phenomena and explore the mathematical ideas that arise within these models. Topics include separation of variables; phase portraits; equilibria and their stability; nondimensionalization; bifurcation analysis; and modeling of physical, biological, chemical, and social processes.
 Fall 2024, Winter 2025, Spring 2025
 FSR, Formal or Statistical Reasoning

Student must have completed any of the following course(s): MATH 134 – Linear Algebra with Applications or MATH 232 – Linear Algebra AND MATH 120 – Calculus 2 or MATH 211 – Multivariable Calculus with a grade of C or better or equivalents.

MATH 271 Optimization 6 credits
Optimization is all about selecting the "best" thing. Finding the most likely strategy to win a game, the route that gets you there the fastest, or the curve that most closely fits given data are all examples of optimization problems. In this course we study linear optimization (also known as linear programming), the simplex method, and duality from both a theoretical and a computational perspective. Applications will be selected from statistics, economics, computer science, and more. Additional topics in nonlinear and convex optimization will be covered as time permits.
 Spring 2025
 FSR, Formal or Statistical Reasoning

Student must have completed any of the following course(s): MATH 134 – Linear Algebra with Applications or MATH 232 – Linear Algebra AND MATH 120 – Calculus 2 or MATH 211 – Multivariable Calculus with a grade of C or better or equivalents.

MATH 295.00 Numerical Differential Equations 6 credits
An introduction to numerical methods to compute approximate solutions of differential equations. Material will be selected from a range of topics such as error analysis, numerical differentiation, Euler and RungeKutta methods, predictorcorrector methods, boundary value problems, and curve fitting. Applications to other subjects such as physics, chemistry, ecology, epidemiology and neuroscience will be covered. Programming experience is not required.
 Fall 2024
 FSR, Formal or Statistical Reasoning QRE, Quantitative Reasoning

Student has completed any of the following course(s): MATH 134 – Linear Algebra with Applications or MATH 232 – Linear Algebra with a grade of C or better or equivalent.

MATH 341 Partial Differential Equations 6 credits
An introduction to partial differential equations with emphasis on the heat equation, wave equation, and Laplace’s equation. Topics include the method of characteristics, separation of variables, Fourier series, Fourier transforms and existence/uniqueness of solutions.
 Spring 2025
 FSR, Formal or Statistical Reasoning

Student has completed any of the following course(s): MATH 241 – Ordinary Differential Equations with grade of C or better.

STAT 250 Introduction to Statistical Inference 6 credits
Introduction to modern mathematical statistics. The mathematics underlying fundamental statistical concepts will be covered as well as applications of these ideas to reallife data. Topics include: resampling methods (permutation tests, bootstrap intervals), classical methods (parametric hypothesis tests and confidence intervals), parameter estimation, goodnessoffit tests, regression, and Bayesian methods. The statistical package R will be used to analyze data sets.
 Winter 2025, Spring 2025
 FSR, Formal or Statistical Reasoning QRE, Quantitative Reasoning

Student has completed any of the following course(s): MATH 240 – Probability with a grade of C or better.

STAT 320 Time Series Analysis 6 credits
Models and methods for characterizing dependence in data that are ordered in time. Emphasis on univariate, quantitative data observed over evenly spaced intervals. Topics include perspectives from both the time domain (e.g., autoregressive and moving average models, and their extensions) and the frequency domain (e.g., periodogram smoothing and parametric models for the spectral density). Exposure to matrix algebra may be helpful but is not required.
 Spring 2025
 FSR, Formal or Statistical Reasoning QRE, Quantitative Reasoning

Student has completed any of the following course(s): STAT 230 – Applied Regression Analysis and STAT 250 – Introduction to Statistical Inference with a grade of C or better.