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Course Criteria
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4.00 Credits
Topics include applications and techniques of integration; parametric equations and polar coordinates; Taylor and power series, and 3-dimensional analytical geometry and vectors. Course may be taught with a Community-Engaged Learning component. Prereq: Within the last year, MATH 1210 w/C grade or better. Semester: All
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4.00 Credits
This course is designed for future elementary school teachers. Students will develop algebraic reasoning skills, so they know where their students are headed in middle & high school grades. This course explores a variety of algebra topics including patterns and sequences; algebraic symbols, expressions, and equations; functions and their graphs; using technology to explore algebraic relationships. Pre-Requisite: MATH 1010 or equivalent course w/C grade or better, or appropriate placement, and ENGL 0990. Recommended Prerequisite(s): Math 1010 or equivalent course with grade B or better. Semester: Spring
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3.00 Credits
This course is designed for prospective elementary school teachers and will cover critical concepts necessary for elementary teachers to understand in order to competently teach mathematics topics from the K-8 school curriculum based on the Utah Common Core State Standards. See the Utah State Core Curriculum. Topics include: thinking critically, problem-solving techniques, sets and whole numbers, numeration and computation, number theory, base-10 understanding, integers, fractions and rational numbers, and decimal and real numbers. Although the topics covered may be familiar to students, they will be explored and examined from an advanced perspective in order to help students develop a deeper understanding of the mathematical ideas so that they can move beyond rote memorization and performing procedures without understanding. Some material will be beyond the scope of the elementary classroom but designed to give students additional understanding in order to help them make connections with the content and better prepare them for helping their future students. Students will learn to conceptualize the mathematical ideas & communicate orally and in writing in a variety of different ways (pictures, graphs, etc). Although teaching methods are not an explicit focus of this course, students will find many opportunities to consider how children think and learn the topics discussed which, therefore, will bring up teaching practices that can promote learning with understanding and provide a conceptual framework for analyzing common student misunderstandings in Grades K-8. Pre-Requisite: MATH 2000 or MATH 1050 both w/C or better Semester: Fall & Spring
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3.00 Credits
After completing Math 2010, prospective elementary school teachers continue to revisit mathematics topics from the K-8 school curriculum and examine them from an advanced perspective. This is a content course that provides teachers a better understanding of topics in geometry, constructions, motion geometry, measurement, statistics, and probability appropriate to Grades K-8 school curriculum based on the Utah Common Core State Standards. See the Utah State Core Curriculum. Although the topics covered may be familiar to students, they will be explored and examined from an advanced perspective in order to help students develop a deeper understanding of the mathematical ideas so that they can move beyond rote memorization and performing procedures without understanding. Some material will be beyond the scope of the elementary classroom but designed to give students additional understanding in order to help them make connections with the content and better prepare them for helping their future students. Students will learn to conceptualize the mathematical ideas & communicate orally and in writing in a variety of different ways (pictures, graphs, etc). Although teaching methods are not an explicit focus of this course, students will find many opportunities to consider how children think and learn the topics discussed which, therefore, will bring up teaching practices that can promote learning with understanding and provide a conceptual framework for analyzing common student misunderstandings in Grades K-8. Pre-Requisite: Math 2010 w/ C or better Semester: Spring
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4.00 Credits
Includes sampling design; descriptive statistics; probability; mathematical expectation; probability distributions; sampling distributions; estimation; hypothesis testing; inference on categorical data; analysis of variance; linear regression analysis, and correlation. Prerequisite: Within the last year, MATH 1050 w/C grade or better, or appropriate placement. Semester: Fall & Spring
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3.00 Credits
This course will explore algebraic ideas with the intent for students to develop the mathematical content and knowledge to teach high school algebra standards effectively. Topics will include number systems, algebraic representations, functions, ratios and proportions, and the historical development of these topics. The focus will be on developing a deeper understanding of these topics. Recommended Prerequisite(s): MATH-2100 Prerequisite(s): Department Approval, Admitted to Program Term(s): Summer
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3.00 Credits
Fundamentals of logic, set theory, order, relations, functions. Elementary number theory, modular arithmetic. Combinatorics; counting permutations, generating functions, matrix operations. Basic algebraic structures; groups, rings. Discrete probability. Introduction to graphy theory, trees, search optimization problems. Boolean algebra. Pre-Requisite: Within the last year, MATH 1220 w/C grade or better or instructor permission. Semester: Fall & Spring
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3.00 Credits
This is the third semester of the calculus series. Topics include partial derivatives, multiple integrals, curves and surfaces; vector calculus including Green's and Stoke's theorems. Pre-Requisite: Within the last year, MATH 1220 w/C grade or better. Semester: All
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4.00 Credits
Ordinary differential equations with applications to mechanics, electrical circuits, and populations; qualitative analysis; intro. to numerical methods; Laplace transforms; linear algebra applied to solution spaces, systems of DEs. Pre-Requisite: Within the last year, MATH 1220 w/C grade or better. Optional Coreq: MATH 2210 requires departmental approval. Semester: All
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4.00 Credits
Theory and application of matrices, linear systems, determinants, inverses, vector spaces, linear independence, linear transformations, eigenvalues and eigenvectors, diagonalization, least squares approximation. Includes computer projects. Pre-Requisite: Within the last year, MATH 1220 w/C grade or better. Semester: Fall & Spring
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