### MAT-100 Algebra Applications

Combines algebra preparation and applied algebra, designed to develop students' critical thinking and quantitative reasoning skills needed to understand everyday issues. Provides a thorough study of linear equations and functions as well as an exploration of a variety of nonlinear functions. Data analysis and mathematical modeling focus on real world problems from a variety of fields including science, finance and business. Graphing calculator is used throughout the course. Students meet five times a week in 50-minute classes. Satisfactory completion is a prerequisite for MAT-215, Statistics or MAT-107, Elementary Functions. Available to Women's College students only. Satisfies the General Education Requirement in Mathematics. This course may not be completed for credit after successful completion of MAT-103. [ 4 credits ]

### MAT-103 Applied Algebra

Focuses on fundamental algebraic concepts and the solution of real world problems through the use of basic mathematical models. Provides a thorough study of linear functions as well as an exploration of a variety of nonlinear functions. Data analysis and mathematical modeling focus on real world problems from a variety of fields including science, finance and business. Graphing calculator is used throughout the course. Intended for students of science, finance and business who have limited algebraic skills. The course may be taken to prepare for MAT-107 Elementary Functions or MAT-215 Basic Statistics. Prerequisite: minimum of one year of high school algebra. Satisfies the General Education Requirement in Mathematics. This course may not be completed for credit after successful completion of MAT-100. [3 credits]

### MAT-107 Elementary Functions

Provides preparation for study of calculus, and is also designed for pre-service elementary educators with a strong interest in mathematics. Covers polynomial, exponential, logarithmic and trigonometric functions and their applications. Graphing calculator is used throughout the course. Prerequisite: Successful completion of two years of high school algebra. Fulfills the General Education Requirement in Mathematics. [3 credits]

### MAT-110 Discrete Mathematics

Introduces topics that find their applications in the field of computers and computing. Topics include: logic, proof, graphs, trees and counting techniques. This course is designed for Mathematics Majors, Computer Studies Majors and students with a particular interest in mathematics. [3 credits]

### MAT-120 Sets, Logic and Numbers

### MAT-121 Geometry and Graphs

### MAT-122 Counting, Chance & Statistics

Covers fundamental counting rules and basic probability as well as the collection, analysis and interpretation of data. Statistical content includes sampling and experimental design, numerical and graphical presentation of data, regression lines and use of the normal curve. Intended for pre-service elementary educators and others interested in an introduction to statistics (possibly before taking MAT-215, BUS-215 or BUS-225). This course may not be taken after successful completion of MAT-215, BUS-215 or BUS-225. Fulfills the General Education Requirement in Mathematics. [3 credits]

### MAT-125 Elementary Mathematical Models

Includes the application of linear, quadratic, exponential and mixed models to real world problems. Models are investigated numerically and graphically as well as algebraically. Graphing calculator is used throughout the course. Intended for pre-service elementary educators and others interested in these topics. Fulfills the General Education Requirement in Mathematics. Prerequisite: minimum of one year of high school algebra. [3 credits]

### MAT-211 Calculus I

Introduces functions, limits, continuity, differential calculus of polynomial, rational, exponential and logarithmic functions, as well as basic integration techniques. Applications are considered throughout the course with an emphasis on the life sciences. Weekly laboratory is an integral part of the course. Graphing calculators used to explore topics covered. Fulfills the General Education Requirement in Mathematics Prerequisite: Placement in MAT 211 or successful completion of MAT-107. [4 credits]

### MAT-211L Lab: Calculus I

This lab is a corequisite of MAT 211.

### MAT-212 Calculus II

### MAT-212L Lab: Calculus II

This lab is a corequisite of MAT 212.

### MAT-213 Calculus III

### MAT-214 Calculus of Vector Fields

### MAT-215 Basic Statistics

Introduces the basic ideas of statistics: descriptive statistics, central tendency variability, probability distributions, sampling, estimation, hypothesis testing, correlation and regression, multinomial experiments, contingency tables and analysis of variance. A statistical software package is used. Designed for students in a variety of fields that rely on regular statistical analysis in decision-making. Fulfills general education requirement in mathematics. Prerequisite: Placement in MAT 215 or successful completion of MAT 100 or MAT 103 is recommended. [3 credits]

### MAT-243 Linear Algebra

### MAT-301 Abstract Algebra

### MAT-303 Analysis

### MAT-305 Geometry

Explores several different geometries. Included are ways of classifying geometries by sets of axioms or by the type of transforms defined. Finite geometries, projective geometry, non-Euclidean geometries, topology and the geometry of inversion are investigated. Designed for Mathematics Majors or educators to be certified to teach Secondary Mathematics. Geometers Sketchpad or Geogebra is used throughout the course. Prerequisite: MAT-212. [3 credits]

### MAT-307 Numerical Analysis

### MAT-309 Number Theory

Considers divisibility and unique factorization; congruencies and the Chinese Remainder Theorem; Diophantine Equations; Fermat's, Wilson's and Euler's theorems; perfect numbers; Pythagorean triples; primitive roots; and quadratic congruencies. Designed for Mathematics Majors or educators to be certified to teach Secondary Mathematics. Prerequisite: MAT-212. [3 credits]

### MAT-311 Theory of Probability

Analyzes combinatorial methods; probability and sample spaces; random variables and their distributions (discrete and continuous); moment generating functions; and the relation between probability and statistics. Probability exposes students to the diverse possible applications in such fields as Mathematics, Science, Engineering, Psychology, Social Sciences and Management Science. Prerequisite: MAT-212. [3 credits]

### MAT-315 Differential Equations

### MAT-344 Statistics and Probability for Elementary School Educators

An integration of the study of probability and statistics with the approach to the teaching and learning of these concepts found in the National Council of Teachers of Mathematics' Principles and Standards of School Mathematics and the Maryland State Standards. Mathematical content includes designing data investigations, describing data in graphical and numerical formats, drawing conclusions, theoretical and empirical probability for simple events and two or more independent events, randomness and the difference between

predicting patterns of events. How students learn these concepts, associated misconceptions and how to address them are also considered in this course. [ 3 credits ]

### MAT-347 Teaching and Learning Grades K-2 Math

This course is designed to develop content and pedagogical understanding of classroom teachers, ELL teachers, special education teachers, Title I Interventionists and all other instructional staff. The course will feature varied professional learning activities including collaborative project work, group discussion, literature reviews, journaling, hands-on investigations and apply and reflect activities. [ 3 credits ]

### MAT-348 Teaching and Learning Grades 3-5 Math

This course is designed to develop content and pedagogical understanding of classroom teachers, ELL teachers, special education teachers, Title I Interventionists and all other instructional staff. The course will feature varied professional learning activities including collaborative project work, group discussion, literature reviews, journaling, hands-on investigations and apply and reflect activities. [ 3 credits ]

### MAT-406 Complex Variables

Introduces the theory and applications of functions of complex variables. Topics include: powers and roots, analytic functions, contour integrals, Taylor and Laurent series, singularities and residues. Intended for Mathematics, Physics and Engineering Majors. Prerequisite: MAT-213. [3 credits]

### MAT-425 Simulation and Modeling

### MAT-455 History of Mathematics

Focuses on the historical development of modern mathematics. Basic research techniques are reviewed. A research paper on an issue of significance in mathematics or a scholar important to the development of the field is required. Students develop oral presentations about their research. Prerequisite: MAT-212. [3 credits]