Course Search Results

  • MATH 3050: Stochastic Modeling and Applications

    3.00 Credits
    Utah Tech University

    The purpose of this course is to equip students with basic theoretical and practical knowledge of stochastic modeling, which is very important and necessary for the analysis of stochastic dynamical systems in many application including economics, engineering, and other other fields. Emphasis will be placed on understanding the stochastic processes, how to model problems, and how to use technology to solve real-world problems. Throughout this course, different real-world problems will be discussed and solved using computational tools. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Explain the basic concepts of stochastic processes. 2. List the different important stochastic processes, their properties and characteristics. 3. Model and solve real-life problems using stochastic processes. Prerequisites: MATH 2050 OR STAT 2040 OR MATH 3060 OR Math 3400 (Grade C or higher). SP
    ShareMATH 3050 - Stochastic Modeling and Applications

  • MATH 3060: Statistics for Scientists

    3.00 Credits
    Utah Tech University

    The purpose of this course will be to provide undergraduate students a solid background in the core concepts of applied biological statistics and the use of the software R for data analysis. Specific topics include tools for describing central tendency and variability in data; methods for performing inference on population means and proportions via sample data; statistical hypothesis testing and its application to group comparisons; issues of power and sample size in study designs; and random sample and other study types. While there are some formulae and computational elements to the course, the emphasis is on interpretation and concepts. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Recognize the importance of data collection and its role in determining scope of inference. 2. Demonstrate a solid understanding of interval estimation and hypothesis testing. 3. Choose and apply appropriate statistical methods for analyzing one or two variables. 4. Interpret statistical results correctly, effectively, and in context. 5. Use R to perform descriptive and inferential data analysis for one or two variables. FA, SP
    ShareMATH 3060 - Statistics for Scientists

  • MATH 3100: Euclidean / Non-Euclidean Geom

    3.00 Credits
    Utah Tech University

    Includes axiomatic development of Euclidean and non-Euclidean geometry. Computer-based GeoGebra program is used. Required for Utah Level 3 and 4 Math Endorsements. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Understand the role of axioms in Euclidean and Non-Euclidean geometry. 2. Proficiently write geometric rigorous proofs. 3. Use technology to explore and conjecture geometric results. Prerequisite:??MATH 2200 (Grade C or higher). SP (odd)
    ShareMATH 3100 - Euclidean / Non-Euclidean Geom

  • MATH 3120: Transition to Advanced Mathematics

    3.00 Credits
    Utah Tech University

    An introduction to proofs and the mathematical writing needed for advanced mathematics courses. This course covers logic and methods of mathematical proof in the framework of sets, relations, functions, cardinality, etc. A project is required. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Reformulate statements from common language to formal logic and develop proofs of these statements using common proof methods. 2. Apply the creative process of inventing and discovering new mathematical theories. 3. Apply the methods of thought that mathematicians use in verifying theorems, exploring mathematical truth and developing new mathematical theories for application. 4. Utilize the LaTeX typesetting environment to produce technical and mathematical papers that meet the current formatting standard for circulation within the scientific community. Prerequisites: MATH 2200 or CS 2100 (Grade C or higher); and MATH 1220 (Grade C or higher). FA
    ShareMATH 3120 - Transition to Advanced Mathematics

  • MATH 3150: Introduction to Partial Differential Equations

    3.00 Credits
    Utah Tech University

    First-Order Partial Differential Equations (PDEs), Second-Order PDEs, Fourier Series, The Heat Equation, The Wave Equation, Laplace's Equation, The Fourier Transform Methods for PDEs. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Understand the wave, heat, and Laplace equations and their applications. 2. Utilize Fourier series and the Fourier transform to solve partial differential equations. 3. Understand Sturm-Liouville eigenvalue problems and receive an introduction to solving PDEs numerically. Prerequisite: MATH 2210 and MATH 2270 and MATH 2280 (all Grade C or higher). FA (odd)
    ShareMATH 3150 - Introduction to Partial Differential Equations

  • MATH 3200: Introduction to Analysis I

    3.00 Credits
    Utah Tech University

    This course provides an introduction to the fundamental concepts of mathematical analysis, covering sets and real numbers, sequences and series, basic topology, limits and continuity, the derivative, and sequences and series of functions. The course emphasizes the development of critical thinking and logical reasoning skills, as well as the ability to communicate mathematical ideas effectively through constructing clear, logical proofs. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Develop a foundational understanding of the key concepts and principles of mathematical analysis for functions of one variable. 2. Appreciate the axiomatic approach to mathematics and application of fundamental principles to build robust mathematical models. 3. Communicate mathematical ideas effectively in writing and speech, emphasizing clear, logical proofs. 4. Apply the techniques of mathematical analysis to solve problems in other areas of mathematics. Prerequisites: MATH 3120 (Grade C or higher); AND MATH 1220 (Grade C or higher). SP
    ShareMATH 3200 - Introduction to Analysis I

  • MATH 3210: Introduction to Analysis II

    3.00 Credits
    Utah Tech University

    This course is a continuation of the study of mathematical analysis begun in Introduction to Analysis I. It covers advanced topics in analysis, including metric spaces, point-set topology, and differentiation and integration in higher dimensions. The course aims to further develop students' ability to think critically and logically, and to communicate mathematical ideas effectively. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Demonstrate a foundational understanding of the key concepts and principles of mathematical analysis for functions of multiple variables. 2. Develop critical thinking and logical reasoning skills necessary for solving mathematical problems in the context of advanced multivariable calculus. 3. Construct and analyze rigorous mathematical arguments that demonstrate a thorough command of accepted notation and terminology and a strong understanding of introductory real analysis. Prerequisite: MATH 3200 (Grade C or Higher); AND MATH 2210 (Grade C or higher). ?? FA (even)
    ShareMATH 3210 - Introduction to Analysis II

  • MATH 3400: Probability & Statistics

    3.00 Credits
    Utah Tech University

    Mathematics- based statistics. Topics include: Concepts in probability, discrete, continuous and bivariate distributions, distributions of functions of random variables, point and interval estimation, tests of hypothesis, and regression. Calculators with statistical functions is required. Required for Utah Level 3 and 4 Math Endorsement. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Describe properties of probability, counting Techniques, conditional probability and Bayes' Theorem. 2. Use Discrete random variables and Discrete distributions like Binomial, Negative binomial and Poisson distributions. 3. Apply continuous random variables and Continuous distributions like Normal, Exponential, Gamma and Chi-square distributions. 4. Organize Bivariate distributions of discrete and continuous type. 5. Interpret Distributions of functions of one, two or several random variables, Moment-Generating functions and central limit theorem. Prerequisites: MATH 1210 (Grade C or higher). FA
    ShareMATH 3400 - Probability & Statistics

  • MATH 3410: Actuarial Exam P/1 Preparation

    1.00 Credits
    Utah Tech University

    Recommend students to take this class at the same semester as Math 3400. Prepare for Exam P/1 by working on sample exam questions. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Demonstrate through testing the ability to take the Actuarial Probability exam (SOA Exam P/CAS Exam1). Prerequisites: MATH 3400 (Grade C or higher, can be concurrently enrolled). FA
    ShareMATH 3410 - Actuarial Exam P/1 Preparation

  • MATH 3450: Statistical Inference

    3.00 Credits
    Utah Tech University

    Topics include: point estimation, maximum likelihood estimators and their distributions, sufficient statistics, and Bayesian estimation, confidence intervals for means and proportions, distribution-free confidence intervals for percentiles, confidence intervals for regression coefficients, and re-sampling methods, test hypothesis for means and proportions, The Wilcoxon tests, the power of a test, best critical regions and likelihood ratio tests,, standard chi-square tests, analysis of variance including general factorial designs, and some procedures associated with regression, correlation and statistical quality control. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Explain the concepts of point estimations, order statistics, maximum likelihood estimation, regression, sufficient statistics, and Bayesian Estimation. 2. Construct and interpret confidence intervals for means, differences of two means, proportions, and Percentiles. 3. Explain the concepts of statistical hypotheses, power of statistical test and best critical regions. 4. Perform and interpret hypothesis test for means, proportions. 5. Perform and interpret Chi-square Goodness-of-Fit tests, Test for homogeneity, Test for independence of attributes of classification, One-Factor Analysis of Variance and Two-Way Analysis of Variance. Prerequisites: MATH 3400 (Grade C or higher). SP
    ShareMATH 3450 - Statistical Inference