# Courses

###### For a current schedule of classes please refer to the Dixie State University online schedule.

###### Find the schedule of course offerings to help you plan your classes.

MATH 0900 **Transitional Mathematics I** (3)

Designed for students needing to learn or review basic mathematics skills. Covers operations on whole numbers, fractions, decimals, percents with applications, ratios and proportions, signed numbers, linear equations with applications, positive integral exponents, geometry, and polynominals. Graphing and polynomial factoring will be introduced. Prerequisite ACT Math score of 12 or lower, or Accuplacer (CPT) score of 30 or lower.

MATH 1000 **Transitional Mathematics II** (3)

Prepares students for courses that fulfill the General Education Math requirement. Concepts emphasized in this course include the properties of the real number system, sets, functions, graphs, algebraic manipulations, linear and quadratic equations, systems of equations, and story problems. Students will be expected to reason mathematically and solve mathematical problems. Successful completion of the course gives students good preparation for college-level math courses. Prerequisite ACT score of 13- 22, Accuplacer (CPT) score of 31-88, or complete MATH 0900 with a C or better.

MATH 1001 **FYE: Introduction to Math** (1)

A First Year Experience course created to help students succeed in the Math major, and assist new freshmen and returning students to make a successful transition to being a college student. The primary objective of this course is to provide students with the resources they will need to succeed in their college careers, particularly in the Math major.

MATH 1010 **Intermediate Algebra** (4)

Prepares students for courses that fulfill the General Education Math requirement. Concepts emphasized in this course include the properties of the real number system, sets, functions, graphs, algebraic manipulations, linear and quadratic equations, systems of equations, and story problems. Students will be expected to reason mathematically and solve mathematical problems.

MATH 1030 **Quantitative Reasoning** (3)

Fulfills General Education Mathematics requirement for students in Fine Arts or Liberal Arts degrees. Focuses on development of analytical problem solving skills through the application of various mathematical concepts to real-life problems. Prerequisite ACT score of 23-28, Accuplacer (CPT) score of 89- 94, or complete MATH 1000 with a C or better.

MATH 1040 **Introduction to Statistics** (3)

Fulfills General Education Mathematics requirement for students majoring in Communications, Social & Behavioral Sciences, Fine Arts, or Liberal Arts. Introduction to basic concepts and methods used in statistical data analysis, includes descriptive statistics, sampling, and inferential methods while emphasizing problem solving and critical thinking. Prerequisite ACT score of 23-28, Accuplacer (CPT) score of 89- 94, or complete MATH 1000 with a C or better.

MATH 1050 **College Algebra / Pre-Calculus** (4)

Fulfills General Education Mathematics requirement for students majoring in Business, Elementary Education, Health Sciences, Science, and other majors. Reviews fundamental algebra; explores polynomial and rational functions; introduces exponential and logarithmic functions and applications; trigonometric functions dealing with graphs, identities, and equations, including inverse functions. Prerequisite ACT score of 23-28, Accuplacer (CPT) score of 89- 94, or complete MATH 1000 with a C or better.

MATH 1060 **Trigonometry** (3)

Fulfills General Education Mathematics requirement. Continuation of MATH 1050, involving further discussion of trigonometry and its applications, analytic geometry including conic sections, systems of equations and inequalities, and partial fractions, as well as introducing discrete algebra including sequences and series and the binomial theorem. Prerequisite ACT Score of 25-29, Accuplacer (CPT) score of 95- 104, or complete MATH 1050 with a c or better.

MATH 1065 **Pre-Calculus with Trigonometry** (5)

Fulfills General Education Mathematics requirement. Provides in-depth review of pre-calculus and trigonometry before entering trig-based calculus by reviewing concepts taught in MATH 1050 and MATH 1060. Prerequisite ACT Score of 25-29, Accuplacer score of 95-104, or Complete MATH 1000 with a B or better.

MATH 1100 **Business Calculus** (3)

Fulfills General Education Mathematics requirement. Required of majors in the Udvar-Hazy School of Business, and students majoring in CIT, IT, and VT. Emphasizes functions, modeling, differentiation, applications of differentiation, exponential and logarithmic functions, integration, applications of integration, and functions of several variables. Prerequisite ACT Score of 25-29, Accuplacer (CPT) score of 95- 104, or complete MATH 1050 with a c or better.

MATH 1210** Calculus I** (5)

Fulfills General Education Mathematics requirement. Students will gain a basic understanding of calculus, the mathematics of motion and change, including limits and continuity, differentiation, applications of differentiation, integration, applications of integration, derivatives of exponential functions, logarithmic functions, inverse trigonometric functions, hyperbolic functions, and related integrals. Prerequisite ACT score of 26-36, Accuplacer score of 105-120, complete MATH 1050 & 1060 with a C or better, or complete MATH 1065 with C or better.

MATH 1220 **Calculus II** (4)

Fulfills General Education Mathematics requirement. Continuation of MATH 1210, covering length, area of a surface of revolution, moments and centers of mass, integration techniques, sequences and series, parameterization of curves and polar coordinates, vectors in 3-space, quadric surfaces, and cylindrical and spherical coordinates. Prerequisite must complete MATH 1210 with a C or better.

MATH 2010** Math for Elementary Teachers I** (3)

Main topics include: properties, symmetry, congruency, and similarity of geometric figures; Pythagorean Theorem and right triangle relationships; areas; circles; constructions; use of geometrical thinking in solving problems and proof. Prerequisite MATH 1050 with a C or better.

MATH 2020 **Math for Elemen Teachers II** (3)

The second course in a 2-semester sequence of mathematics appropriate to the needs of elementary and middle school teachers. Continuation of Math 2010. Includes real numbers, statistics, probability, geometry, measurement, and algebra. Prerequisite MATH 2010 with a C or better.

MATH 2200 **Discrete Mathematics** (3)

Designed primarily for students majoring in Computer Science. Focuses on logic (including Boolean), set theory, functions, prepositional calculus, graph theory, combinatorics, and counting methods. Prerequisite MATH 1210 with a C or better.

MATH 2210 **Multivariable Calculus** (3)

Fulfills General Education Mathematics requirement. Continuation of MATH 1220. Includes partial derivatives, gradient vectors, Lagrange multipliers, multiple integrals, line integrals, Green’s Theorem, surface integrals, the Divergence Theorem, Stokes’ Theorem, and the introduction of MathCAD Calculus. Prerequisite MATH 1220 with a C or better.

MATH 2270 **Linear Algebra** (3)

For Mathematics and pre-Engineering majors. Covers matrix and vector analysis and systems of equations with applications, linear dependence and independence, matrix algebra and invertibility, determinants and their applications, Cramer’s Rule, diagonalization, eigenvalues and eigenvectors, linear transformations (kernel and range), inner product, orthogonality, vector spaces and subspaces, including null and column and bases as well as introducing basic proof theory. Prerequisite MATH 1210 with a C or better.

MATH 2280 **Ordinary Differential Equation** (3)

For Mathematics and pre-Engineering majors. Covers methods of solving ordinary differential equations with applications: separation of variables, homogeneous and non-homogeneous, exact, first and higher order, integrating factors, substitution methods, linear and non-linear, complex characteristic roots, variation of parameters, undetermined coefficients (superposition and annihilator approach), and Euler-Cauchy. Prerequisite MATH 1220 with a C or better.

MATH 2989 **TI-89 Calculator Skills** (1)

Designed to aid students in using the TI-89 (or similar) calculator through a study guide, demonstrations, and hands-on experience. Covered features include basic computation, matrices, graphing, and calculus applications.

MATH 3000 **History of Mathematics** (3)

For all interested students. Brief survey of the history of mathematics and its impact on world culture, emphasizing the principal ideas of importance in the development of the mathematical motivations and applications. Prerequisite MATH 1220.

MATH 3100 **Euclidean / Non-Euclidean Geom** (3)

For pre-service Mathematics educators, but open to all interested students. Includes axiomatic development of Euclidean and non-Euclidean geometry. Computer-based GeoGebra program is used. Prerequisite MATH 2200 with a C or better.

MATH 3200** Introduction to Analysis I** (3)

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. Prerequisite MATH 2200 & 2210 with a C or better.

MATH 3210 **Introduction to Analysis II** (3)

Continuation of MATH 3200. Includes continuity, differentiation, chain rule, Riemann integration, Fubini’s theorem, and change of variable formula. Prerequisite: MATH 3200. SP (even years). Prerequisite MATH 3200.

MATH 3400 **Probability & Statistics** (3)

For students in majors that require mathematics-based statistics. Study of probability theory and mathematical statistics including applications in which Microsoft Excel and TI-83/84 calculators are used extensively. Prerequisite MATH 1220 with a C or better.

MATH 3500 **Numerical Analysis** (3)

Includes numerical solutions of nonlinear equations, interpolation and approximation, numerical integration and differentiation, and solutions of linear systems, numerical solutions of ordinary and partial differential equations, using Maple software to implement various algorithms numerically. Prerequisite MATH 2270 & 2280.

MATH 3900 **Number Theory** (3)

Overview of number theory and its applications, including the integers, factorizations, modular arithmetic, congruencies, Fermat’s and Euler’s Theorems, diophantine equations, cryptography, and RSA algorithm. The computer-based Pari-GP program is used. Prerequsite MATH 2200, 2300, & 3100.

MATH 4000 **Foundations of Algebra** (3)

For students in all Math-related majors. Covers an introduction to algebraic systems including group rings, fields and sets. Required for Utah Level 3 and 4 Math Endorsements. Prerequisite MATH 2200 with a C or better.

MATH 4010 **Abstract Algebra** (3)

Continuation of MATH 4000. Topics include Sylow Theory for finite groups, Galois Theory, factorization in commutative rings. Prerequisite MATH 4000.

MATH 4100 **Introduction to Topology** (3)

Overview of elementary point-set topology. Includes topological spaces, compactness, connectedness, metric spaces, and Hausdorff spaces. Prerequisite MATH 2200 & 2210.

MATH 4200 **Intro to Complex Analysis** (3)

Overview of basic theory and applications of complex variables, including analytic functions, contour integration, and conformal mappings. Prerequisite: MATH 3200. SP (even years). Prerequisite MATH 3200.

MATH 4500 **Methods Teach Secondary Math** (3)

Designed for pre-service educators, this course covers methods, remedial instruction, and curriculum development for secondary school mathematics, including applications of calculators and computers in mathematics. Technology used includes graphic calculators, spreadsheets, Internet searching, and computer-based geometry software.

MATH 4900 **Senior Capstone Seminar** (3)

Required of all Mathematics majors in the senior year. Emphasizes the ability to analyze and communicate mathematically through projects to include researching topics, summarizing journal articles, using a technical documentation system such as LaTeX or Equation Editor, and making oral class presentations. Preparation for and completion of standardized exit exam is required.