|
|
|
|
|
|
|
|
|
|
Course Criteria
Add courses to your favorites to save, share, and find your best transfer school.
-
3.00 Credits
Selected topics in mathematics developed from ancient to modern times and the study of biographies of prominent mathematicians. Required for Utah Level 4 Math Endorsement. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Learn the development of mathematics in various areas of mathematics such as Algebra and Calculus. 2. Learn the contributions of a variety of cultures to the development of mathematics. 3. Learn how to solve mathematics problem in the style of each culture under study. Prerequisite: MATH 1220 (Grade C or higher). FA (odd)
-
3.00 Credits
One of two courses designed for the acquisition of a deeper understanding of the content knowledge needed for teaching middle school and high school. Focus will be on algebraic conceptual underpinnings, student misconceptions, appropriate use of technology, and instructional practice. Topics include the meaning and use of variables, numbers and operations, functions, inverse functions, representations of functions, and ratio and proportion. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Develop an understanding of algebraic structures. 2. Demonstrate a knowledge of the meanings and uses of functions (exponential, polynomial, inverse). 3. Acquire an understanding of common student mathematical errors. 4. Demonstrate a knowledge of the courses within the Utah mathematics core curriculum. 5. Increase knowledge of numbers and operations. 6. Acquire skills in the appropriate use of technology. Prerequisite: MATH 1210 (Grade C or higher). FA (even)
-
3.00 Credits
This course is designed for the acquisition of a deeper understanding of the content knowledge needed for teaching secondary mathematics. Focus will be on both geometric and statistical conceptual underpinnings, student misconceptions, appropriate use of technology, and instructional practice. Topics include: geometric constructions, transformations, congruence, solid geometry, trigonometry, and the historical development of geometric thinking. In addition, statistics topics will include: study design and sampling, drawing conclusions, linear regression, data representations, probability, and historical connections to mathematics as a whole. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Develop skill in creating geometric constructions. 2. Demonstrate a knowledge of transformations and congruence. 3. Demonstrate a knowledge of the trigonometry used in secondary mathematics. 4. Acquire a historical perspective of geometry. 5. Demonstrate an understanding of study design, drawing conclusions, and data representations. Prerequisite: Math 1210 (Grade C or higher). FA (odd)
-
3.00 Credits
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 (Grade C or higher). SP
-
3.00 Credits
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. Prerequisites: MATH 1210 (Grade C or higher). FA, SP
-
3.00 Credits
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)
-
3.00 Credits
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 3310 (Grade C or higher); and MATH 1220 (Grade C or higher). FA
-
3.00 Credits
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)
-
3.00 Credits
For students interested in advanced Mathematics. Introduces the construction of rigorous proofs of mathematical claims in beginning analysis. Required for Utah Level 4 Math Endorsement. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Analyze the fundamental concepts of analysis for functions of one variable. 2. Prove convergence/divergence for sequences, series, limits of functions. 3. Prove basic facts relating to limits of functions and the convergence/divergence of sequences and series of real numbers and functions. 4. Define the Riemann Integral and prove the Fundamental Theorem of Calculus. Prerequisites: MATH 3120 (Grade C or higher); AND MATH 2210 (Grade C or higher). SP
-
3.00 Credits
Continuation of MATH 3200. Includes continuity, differentiation, chain rule, Riemann integration, Fubini's theorem, and change of variable formula. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Explain, in mathematical terms, the definitions (e.g., continuity,partial differentiability, Riemann and Lebesgue integrability, etc.) and theorems (e.g., Fubini's theorem, the change of variables formula, etc.) underlying advanced and multivariable calculus. 2. Articulate and discriminate between such notions as continuity and uniform continuity (as applied in describing functions), pointwise and uniform convergence (as applied both in describing sequencesof functions and in describing power series), and Riemann and Lebesgue integrability (as applied in describing functions). 2. Identify the notational subtleties and, in the case of Riemann and Lebesgue integrability, the constructional considerations responsible for the variance between the definitions of these terms. 3. Create and analyze rigorous arguments in the mathematical language that demonstrate both a thorough command of accepted notation and terminology as well as a strong understanding of both introductory and intermediate real analysis. Prerequisite: MATH 3200. SP (even)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Privacy Statement
|
Terms of Use
|
Institutional Membership Information
|
About AcademyOne
Copyright 2006 - 2024 AcademyOne, Inc.
|
|
|