2022-2023 Catalog

 

200

MAT-204 Applied Statistics I

An in-depth introduction to descriptive and inferential statistical procedures including graphical and numerical data summary, basic principles of sampling and experimental design, random variables and probability distributions, estimation and hypothesis testing, contingency table analysis, and correlation and regression. Emphasizes conceptual understanding of statistical procedures and their implementation using statistical software. Prerequisite: Satisfaction of the mathematics preparatory requirement. Students may not earn credit in more than one of MAT-100, MAT-112, or MAT-204.

3

MAT-211 Mathematics for Elementary Teachers II

A continuation of MAT-111. This mathematics content course reflects the NCTM standards and includes extensive coverage of geometry and measurement along with selected topics from probability, data analysis, and modeling. Emphasizes mathematical reasoning, problem solving, and communication. Prerequisite: MAT-111 or permission of the Division.

3

MAT-223 Introduction to Mathematics Via Discrete Processes

An introductory mathematics course designed to raise awareness of the mathematics discipline and acquaint students with a range of intellectual and professional activities within the mathematical science community. The mathematical content of the course focuses on discrete processes. Topics include set theory, logic and proof, mathematical induction, combinatorics, and graph theory. Open to mathematics and mathematics education majors as well as others interested in mathematical career possibilities.

3

MAT-231 Mathematics for Middle School Teachers

A course for future teachers of middle school mathematics. Emphasizes problem solving and technology usage in geometry and measurement, discrete probability, and other selected topics. Open only to Elementary Education majors and Mathematics Education majors; Prerequisite: Sophomore standing or above.

3

MAT-253 Calculus I

An introduction to differential and integral calculus of a single variable using polynomial, logarithmic, exponential and trigonometric elementary functions. A study of the concepts of limit, continuity, derivative, and integral using interdisciplinary applications and computer software.

4

MAT-254 Calculus II

Differential and integral calculus with applications in area, volume, and surfaces. Additional topics of study include techniques of integration, parametric equations and polar coordinates, and infinite series representation of functions. Prerequisite: MAT-253 or equivalent.

4

MAT-255 Calculus III

A study of multivariable calculus including continuity and differentiability of functions of several variables, partial derivatives, extrema, multiple integrals, line integrals, surface integrals, and Stoke's Theorem. Prerequisite: MAT-254 or equivalent.

4

MAT-265 Differential Equations with Linear Algebra

The course examines analytical and numerical techniques for solving first-order ordinary differential equations as well as higherorder linear differential equations. Linear algebra topics are introduced to facilitate the analysis of differential equations, including systems of linear equations, matrix operations, vector spaces, and eigenvalues and eigenvectors. Other topics include initial-value and boundary-value problems, Laplace transforms, numerical methods, and modeling. Prerequisite: MAT-254.

4

MAT-280 Linear Algebra

An introduction to the theory and application of linear algebra. Topics include systems of linear equations, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors, and linear transformations. Prerequisite: MAT-253.

3

MAT-282 Transition to Advanced Mathematics

A course to develop students' ability in mathematical reasoning by applying logic and set concepts to problems in probability, functions and relations, number theory, and geometry. In addition, it is to increase background knowledge in these content areas in preparation for subsequent advanced courses. Intensive practice in reading and writing mathematics and constructing mathematical proofs. Prerequisite: MAT-253; Prerequisite or corequisite: MAT-223.

4

MAT-293 Introduction to Mathematical Proofs

This introduction to mathematical proofs course is designed to encourage mathematical reasoning and critical thinking. Topics include direct proofs, indirect proofs, and strategies for creating proofs.

1

MAT-294 Mathematical Figures and Properties

This course is designed to enable students to understand geometric models that describe real world phenomena. Foundational concepts include points, parallel and perpendicular lines, angles, triangles, and area.

2

MAT-296 Studies in Mathematics

A course in topics of current interest in mathematics. See schedule for specific content. Prerequisite: Permission of Division Chair.

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