# Courses

**NOTE:**

The number in parentheses following the course title indicates the semester hours of credit assigned to the course.
An H following the course number indicates an honors level course.

*Essentials of Mathematics I [Lecture]*

This developmental course is for students who need additional preparation before entering MTH 150, 160, 185, or 200. The course focuses primarily on basic arithmetic skills. A grade of C- or better is required for entrance into MTH 150, 160, 185, or 200. This course is usually taught three hours per week for the first one-third of the semester. (Offered on demand)

*Essentials of Mathematics II [Lecture]*

This developmental course is for students who need additional preparation before entering MTH 150, 160, 185, or 200. The course focuses primarily on basic algebraic skills and operations. A grade of C- or better is required for entrance into MTH 150, 160, 185, or 200. (Offered on demand)

*Essentials of Mathematics III [Lecture]*

This developmental course is for students who need additional preparation before entering MTH 150, 160, 185, or 200. The primary focus is on intermediate algebraic skills and operations. A grade of C- or better is required for entrance into MTH 150, 160, 185, or 200. (Offered on demand)

*Applied Algebra [Lecture]*

Topics covered in this course of fundamental quantitative methods include algebraic functions, linear equations, non-linear and exponential functions, mathematics of finance applications, and linear programming. Prerequisite: high school algebra. (Required for students in business administration. Not applicable toward the Mathematics major or minor.)

*The Nature of Mathematics [Lecture]*

As a liberal arts mathematics course, the content is intended to convey a sense of the nature, development, and application of mathematics. Topics covered include probability, statistics, and mathematics of personal finance. (Offered alternate years)

*Mathematics for Elementary Teachers I [Lecture]*

Students will develop an understanding of the mathematical curriculum content recommended in the National Council of Teachers of Mathematics (NCTM) Standards and in the New York State Learning Standards for Mathematics, Science and Technology. The course emphasizes the process standards of problem solving, reasoning and proof, communication, connections, and representation. Its coverage includes the content standards of numbers and operations, patterns and functions, and measurement. NOTE: MTH 161 is not a teaching methods course.

*Mathematics for Elementary Teachers II [Lecture]*

Students will develop an understanding of the mathematical curriculum content recommended in the National Council of Teachers of Mathematics (NCTM) Standards and in the New York State Learning Standards for Mathematics, Science and Technology. The course emphasizes the process standards of problem solving, reasoning and proof, communication, connections, and representation. Its coverage includes the content standards of geometry, probability and statistics. NOTE: MTH 162 is not a teaching methods course.

*College Algebra [Lecture]*

This course is a pre-calculus analysis of the real number system. Topics include linear and quadratic equations, polynomials, inequalities, power and rational functions, exponential and logarithmic functions, and systems of linear equations. It is not applicable toward the Mathematics major or minor.

*Pre-calculus [Lecture]*

This course is a precalculus study of the real number system, equations and systems of equations, inequalities, and functions with a focus on the use of functions in mathematical modeling. Functions studied include linear, polynomial, rational, exponential, logarithmic, and trigonometric functions. Topics in the time-value of money are also included. The course cannot be applied toward a mathematics major, minor, or education concentration. Consult with a member of the mathematics faculty for placement advising.

*Elementary Statistics [Lecture]*

An introduction to descriptive and inferential statistics, this course typically covers descriptive analysis of data, correlation and regression, sampling distributions, central limit theorem, confidence intervals, hypothesis testing, inferences about means, and the chi-square test. The course includes use of the computer.

*MST Mathematics I [Lecture]*

This is a course for those students seeking certification in early childhood and childhood education with a mathematics, science, and technology emphasis. Students will develop an understanding of the mathematical curriculum content recommended in the National Council of Teachers of Mathematics (NCTM) Standards and in the New York State Learning Standards for Mathematics, Science and Technology. The course emphasizes the process standards of problem solving, reasoning and proof, communication, connections, and representation. Its coverage includes the content standards of numbers and operations, patterns and functions, and measurement. NOTE: MTH 261 is not a teaching methods course.

*MST Mathematics II [Lecture]*

This is a course for those students seeking certification in early childhood and childhood education with a mathematics, science, and technology emphasis. Students will develop an understanding of the mathematical curriculum content recommended in the National Council of Teachers of Mathematics (NCTM) Standards and in the New York State Learning Standards for Mathematics, Science and Technology. The course emphasizes the process standards of problem solving, reasoning and proof, communication, connections, and representation. Its coverage includes the content standards of geometry, probability and statistics. NOTE: MTH 262 is not a teaching methods course.

*Discrete Mathematics [Lecture]*

This course is an introduction to discrete processes, including topics such as set theory, logic, induction and recursion, Boolean algebra, relations and graphs, combinatorics, and applications to graph theory.

*Calculus I [Lecture]*

This course is an introduction to the elements of differential and integral calculus. Prerequisite: high school algebra or trigonometry or permission of the instructor.

*Calculus II [Lecture]*

This course is a continuation of MTH 281 with an emphasis on transcendental functions, techniques of integration, applications of integration, and infinite series. Prerequisite: MTH 281.

*Calculus III [Lecture]*

This course is a continuation of MTH 282; it emphasizes multivariable and vector calculus. Prerequisite: MTH 282.

*Introduction to Advanced Mathematics [Lecture]*

This course is an intermediate course to assist students in making the transition into higher level mathematics where proofs and proof methods are the overarching theme. Students will study topics such as logic, set theory, number theory, discrete mathematics, and elementary real analysis. Prerequisite: MTH 282. (Offered on demand)

*Differential Equations [Lecture]*

This course includes a study of first order linear differential equations; series solutions of more general equations; and additional material selected from topics such as solutions by Laplace transforms, systems of equations, partial differential equations, and numerical solutions. Prerequisite: MTH 282. (Offered alternate years)

*Linear Algebra [Lecture]*

This course is an introduction to higher-level mathematics and to vector spaces and linear transformations. Particular emphasis is placed on real, finite dimensional vector spaces. Prerequisite: MTH 281 or permission of the instructor. (Offered alternate years)

*Probability and Statistics [Lecture]*

An introductory course emphasizing a calculus-based treatment of random variables, this course stresses the normal, binomial, and Poisson distributions along with applications of probability theory to statistics. Prerequisite: MTH 282. (Offered alternate years)

*Fundamental Concepts of Geometry [Lecture]*

This is a comparative study of the modern and traditional theories of geometry, including both Euclidean and Non-Euclidean theories. Some material on the history and philosophical implementations of the development of geometry is included.

*Numerical Analysis [Lecture]*

This course includes the study of numerical methods such as interpolations, polynomial approximation, direct and iterative methods for solving equations, and systems of equations, and pseudorandom numbers and Monte Carlo methods. The error inherent in numeric representation and computation on finite devices is also considered. The use of mathematical software and some computer programming will be required. Prerequisites: MTH 282, CSC 140. (Offered alternate years)

*Mathematical Methods for Science [Lecture]*

This course includes analytic tools of relevance to physics, engineering and applied mathematics. These tools will include techniques from areas such as vector analysis, approximation theory, partial differential equations, complex variables, and advanced topics in linear algebra. Prerequisite: MTH 283. (Offered alternate years)

*Special Topics in Mathematics [Lecture]*

An exploration of an advanced topic in the mathematical sciences. May be repeated with different topics. Prerequisite: Permission of the instructor. (Offered on demand)

*Foundations of Math Adolescence Teachers [Lecture]*

To ensure each student seeking certification in Students with Disabilities 7-12 has 6 hours of Mathematics content and linked pedagogical skills, this course will explore the process strands and content strands from the New York State Math Core Curriculum. Students will investigate number sense and operations, algebra, geometry, measurement, and statistics and probability, mathematics skills, problem solving and use of appropriate tools and strategies. An inductive approach which includes hands on exploration and discovery will give teachers a fundamental understanding of the mathematics taught in grades 7-12. This course focuses on mathematics content while also addressing instructional strategies.

*History and Foundations of Mathematics [Lecture]*

This course provides a historical approach to the foundations of mathematics, including consideration of set theory, number theory, geometry, analysis, and applied mathematics. The course is not a proof course, but rather a study in which the students examine the topics in their socio-cultural and political settings. (Offered alternate years)

*Higher Algebra [Lecture]*

Basic ideas of modern algebra are examined, including an introduction to the structure and properties of mathematical systems, such as groups, rings, integral domains, and fields. Prerequisite: MTH 270 or MTH 300 or permission of the instructor. (Offered alternate years)

*Real Analysis [Lecture]*

This course is intended to provide an in-depth study of the real numbers and their functions. Topics covered typically include the elementary topology of Euclidean spaces and a careful study of limits, continuity, and series. Prerequisites: MTH 282; MTH 270 or 300. (Offered alternate years)

*Mathematical Modeling [Lecture]*

The purpose of this course is to demonstrate the strong interdependence between mathematics and the natural and social sciences. This is accomplished through the construction, analysis, and interpretation of mathematical models for several interesting and significant problems in these sciences. Prerequisite: MTH 282. (Offered alternate years)

*Internship [Practicum]*

This internship provides the opportunity to gain practical experience in a field placement.

*Seminar [Lecture]*

This seminar allows students nearing the completion of the mathematics major an opportunity to integrate the mathematics they have learned and to learn independently mathematics needed to complete problem solving tasks.

*Independent Study in Mathematics [Independent Study]*

Independent study provides opportunity to pursue advanced or special-interest topics not covered in the curriculum. Prerequisites: 1. Junior standing. 2. A minimum of 9 semester hours in the discipline of the Independent Study. 3. A minimum grade point average of 2.50 in the discipline. 4. Proof of motivation and ability to work independently. 5. Approval of the department in which the study is to be taken. 6. Permission from the student's advisor, the course instructor, the Department Chair, the Academic Dean, and the Registrar.

*Undergraduate Research [Independent Study]*

Students have the opportunity to conduct research under the supervision of a faculty member. A written report is required. Prerequisites: 1. Junior standing. 2. A minimum of 9 semester hours in the discipline of the Independent Study. 3. A minimum grade point average of 2.50 in the discipline. 4. Proof of motivation and ability to work independently. 5. Approval of the division in which the study is to be taken. 6. Permission from the student's advisor, the course instructor, the Division Chair, and the Registrar. (The course may be repeated.)