MTH - Math

This course provides the basic preparation for more specialized courses in mathematics as determined by the student's major. Topics include graphical, symbolic, and numeric solutions of problems, number systems, integer and rational exponents, radicals, functions, first and second degree equations and inequalities, system of equations and inequalities, measurement, and geometry. Although emphasis is placed on the development of algebraic skills, problem solving is a main component of the course. Class time is split between classroom and online work. Laboratory course is required for Pathways students. Pre-requisite(s): None. Co-requisite(s): None. 5 quarter hours

MTH 101H focuses on mathematical reasoning and solving real- life problems. The course provides an introduction to problem solving with a primary focus on the use of real-world data using technology. It presents preparation for more specialized topics in mathematics including: mathematical finance, logic and set theory, linear programming and statistical reasoning. Emphasizing reasoning and problem solving, interpretation of descriptive and inferential statistics throughout the course, students will learn how to apply appropriate vocabulary, terms, and definitions to describe data outcomes across multiple disciplines. Class time is split between classroom and online work. Pre-requisite(s): None. Co-requisite(s): None. 5 quarter hours

This corequisite (meaning taken at the same time) class is a structured workshop where students do targeted work on assignments from the MTH 101 course and review foundational math topics as needed. In addition, students will practice broadly useful skills, such as problem-solving critical thinking, and quantitative reasoning. While these skills are most obviously connected to the MTH 101 course, they can also be applied to nearly any college course, life outside college, and later careers. Pre-requisite(s): None. Co-requisite(s): MTH 101. 0 quarter hours

This course introduces descriptive and inferential statistics. Students learn how to think critically about statistical concepts, recognize misrepresentation of statistical data in real life, and analyze large amounts of data, applying basic statistical methods and calculations using Microsoft EXCEL. Topics include: experimental design and data collection, probability, data distributions, graphing techniques, measures of central tendency and dispersion, the normal measures of central tendency and dispersion, the normal testing. Microsoft EXCEL is a required software tool for this course, and it will be utilized for various statistical calculations. This course counts in the Quantitative Reasoning area of general education. The class time is split between the classroom or online work, and some work in an adaptive learning environment. Pre-requisite(s): MTH 101 or equivalent. Co-requisite(s): None. 5 quarter hours

MTH 102H focuses primarily on data interpretation skills where students will utilize problem solving to describe real-world data. Students will interpret descriptive and inferential statistics from a given data set, and use appropriate statistical vocabulary, terms, and definitions to describe data outcomes and computations across multiple disciplines. Topics will include data collection processes (observational studies, experiential design, sampling techniques, bias), descriptive methods using quantitative and qualitative data, correlation probability distributions, confidence intervals and hypothesis tests using p-values. Class time is split between classroom and online work. Pre-requisite(s): MTH 101H or an equivalent or Undergraduate Honors Program Director approval. Co-requisite(s): None. 5 quarter hours

This course will provide an integrated approach to functions, including but not limited to linear, exponential, logarithmic, power, periodic, polynomial, rational and trigonometric functions. Students will compare, contrast and transform these functions with an emphasis on real world application to prepare them for calculus courses. Pre-requisite(s): None. Co-requisite(s): MTH 103L. 5 quarter hours

This corequisite (meaning taken at the same time) class is a structured workshop where students do targeted work on assignments from the MTH 103 course and review foundational math topics as needed. In addition, students will practice broadly useful skills, such as problem-solving, critical thinking, and quantitative reasoning. While these skills are most obviously connected to the MTH 103 course, they can also be applied to nearly any college course, life outside college, and later careers.

This course provides a foundation for mathematics that applies to the teacher candidate through a professional sequence. The content of this course prepares teacher candidates to acquire a deeper understanding of the mathematics content embedded in the Common Core standards including the eight practice standards. The class time is split between classroom and online work, utilizing adaptive courseware synchronously and asynchronously. The co-requisite laboratory course is required for Pathways students. Pre-requisite(s): None. Co-requisite(s): MTH 105L for Pathways students. 5 quarter hours

This corequisite (meaning taken at the same time) class is a structured workshop where students do targeted work on assignments from the MTH 105 course and review foundational math topics as needed. In addition, students will practice broadly useful skills, such as problem-solving, critical thinking, and quantitative reasoning. While these skills are most obviously connected to the MTH 105 course, they can also be applied to nearly any college course, life outside college, and later careers. Pre-requisite(s): None. Co-requisite(s): MTH 105. 0 quarter hours

This course focuses on mathematical reasoning and problem solving. It examines the underlying conceptual framework of the elementary mathematics topics of algebra and geometry, metric measurement, rational and real number operations, percent, probability, and statistics. Estimation, models, graphs, and manipulatives are used in a variety of problem-solving situations. The class time is split between classroom and online work, utilizing adaptive courseware synchronously and asynchronously. The co-requisite laboratory course is required for Pathways students. Pre-requisite(s): MTH 105 or equivalent or Department Chair approval. Co-requisite(s): MTH 115L for Pathways students. 5 quarter hours

This lab supports Math Content for Educators II (MTH115) through just-in-time review of foundational skills and additional practice aligned to milestone assignments of Math 115. Emphasis is placed on problem-solving skills and quantitative reasoning. The course includes intensive instruction and practice in the elementary mathematics topics of algebra and informal geometry, metric measurement, rational and real number operations, percent probability, and statistics. Estimation, models, graphs, and manipulatives are used in a variety of problem-solving situations. This course enables students to complete MTH 115 and 115L in the same term. Pre-requisite(s): MTH 105. Co-requisite(s): MTH 115. 0 quarter hours

Calculus is the precise and quantitative study of change. This course explores the notions of an instantaneous rate of change and accumulation of infinitesimally small quantities. This course emphasizes conceptual understanding, not just computational fluency, and students will reason about the concepts in applied, numerical, graphical, algebraic/analytic, and verbal contexts. Topics include functions and limits, and derivatives. Pre-requisite(s): MTH 103 or equivalent of departmental approval. Co-requisite(s): None. 5 quarter hours

This course continues the learning from MTH 211. Topics include limits and continuity, derivatives of algebraic and trigonometric functions, chain, rule, applications (such as extreme problems, related rates, graphing), and anti-derivatives. Pre-requisite(s): MTH 211 or equivalent or departmental approval. Co-requisite(s): None. 5 quarter hours

This course continues the learning from MTH 212. Topics include calculus of the exponential, logarithmic, and trigonometric functions, techniques of integration, applications (such as area, volume, work, force), improper integrals, infinite series, power series, conics, parametric equations, polar, cylindrical and spherical coordinates. Graphing calculator required. Pre-requisite: MTH 212 or equivalent or departmental approval. Co-requisite(s): None. 5 quarter hours

In this course students apply the concepts of Calculus to functions that live in 3 or more dimensions. This will require an understanding of vectors and parametrically defined functions. Topics include partial derivatives, nested integrals, vector analysis and extension of the Fundamental Theorem of Calculus. Pre-requisite(s): MATH 215 or equivalent. Co-requisite(s): None. 5 quarter hours

This course provides the students with nonroutine problem-solving experiences in a variety of situations for the purpose of improving problem-solving skills. Specifically, the course emphasizes three aspects of problem solving: problem-solving strategies, problem solving in subject areas, and problem creation. It is intended primarily as a content course for prospective elementary or middle school teachers. This course applies toward the mathematics concentration. Pre-requisite(s): MTH 101, MTH 105, and MTH 115 required. Co-requisite(s): None. 5 quarter hours

This course investigates geometry and measurement and relates these to nature, art, and mathematical thought. Use of concrete materials and problem-solving techniques are included. Inductive approach provides students with another point of view as well as additional knowledge and skills. This course applies toward the mathematics concentration. Pre-requisite(s): MTH 115. Pre-requisite(s): None. 5 quarter hours.

This course provides a foundation for students to explore essential statistical concepts such as sampling, probability , and drawing conclusions of statistics. Additionally, students will explore more advanced topics in combinatorial probability, conditional probability and independence, various distributions, the law of large numbers, and the central limit theorem. Pre-requisite(s): MTH 102 or equivalent. Co-requisite(s): None. 5 quarter hours

This course focuses on the evolution of mathematics from the development of numbers to present day discoveries. It emphasizes problem solving in order to relate historical ideas to modern applications. This course covers the history of computation, algebra, geometry, trigonometry, number theory, and combinatorics. It also introduces students to the lives of famous mathematicians in order to focus on the significance of their innovations. Pre-requisite(s): MTH 101 and MTH 102 or equivalent. Co-requisite(s): None. 5 quarter hours

This course provides the basic mathematical models used with differential equations. First-order and higher-order differential equations, along with the methods of solutions and their applications are introduced. Modeling with higher- order, Laplace transform, and systems of linear first-order differential equations are covered. At the end, students learn series solutions of linear equations. Numerical methods are covered throughout the course. Pre-requisite(s): MTH 215. Co-requisite(s): None. 5 quarter hours

This course provides students with a foundation that allows them to apply concepts of linear algebra to real world application, including vector geometry, systems of linear equations, vector spaces, matrices, determinants, inverses, and eigenvalues. Pre-requisite(s): MTH 103. Co-requisite(s): None. 5 quarter hours

This course provides students with an introduction to discrete mathematics. Topics discussed emphasize a foundation in mathematical proof and problem solving through logic, proof by induction, counting, factorials, and binomial coefficients. Other topics include discrete probability, random variables, expected value, variance, rates of growth and basic number theory and combinatorics. Pre-requisite(s): MTH 103. Co-requisite(s): None. 5 quarter hours