Northeastern State University

MATHEMATICS (MATH)

Note: # following course titles indicates a Liberal Arts and Sciences course. At least 50 percent of the major must be advanced (3000, 4000) courses within the College of Science and Health Professions; 50 percent of the major must be earned at NSU.

0123 Elementary Algebra

A course for students with little or no previous algebra background. Included topics are signed numbers, exponents, order of operations, factoring, algebraic fractions, linear equations and inequalities, word problems and percents. (No college credit.)

0133 Intermediate Algebra

A course for students that need to review algebra or need to satisfy a high school deficiency. Included in the course is a brief review of topics from Elementary Algebra, radicals, rational exponents, factoring, rational expressions, linear equations, and inequalities, absolute value, complex numbers, and quadratic equations. High school deficiency in mathematics may be satisfied by the successful completion of this course. Prerequisite: Placement and enrollment in this course is based on ACT and/or CPT scores, or a combination of ACT and high school grades in mathematics.

1473 Mathematical Structures #

A study of the fundamental structure of mathematics for non-mathematics majors. Topics include: problem solving, estimation, set theory, number theory, algebraic equations, inequalities, and applications. No major or minor credit in mathematics. Prerequisite: Placement and enrollment in this course is based on ACT and/or CPT scores, or a combination of ACT and high school grades in mathematics.

1513 College Algebra #

Linear and quadratic equations and inequalities; relations, functions, inverse functions; exponential and logarithmic functions; systems of equations; zeros of polynomials and determinants; permutations, combinations and the binomial theorem, as well as other selected topics. Prerequisite: Placement and enrollment in this course is based on ACT and/or CPT scores, or a combination of ACT and high school grades in mathematics.

1613 Plane Trigonometry #

Trigonometric functions, equations, and identities; solutions of triangles; trigonometric representation of the complex number. Prerequisite: Math 1513 or equivalent.

2003 Survey of Contemporary Mathematics #

An overview of the field of mathematics for the non-mathematics major, including (1) an explanation of the basic nature of algebra, calculus, number theory, geometry, and other areas of mathematics. (2) An introduction to logic, postulational systems, and other thought structures used in mathematics. (3) Practical applications of mathematics to everyday problems using calculators, arithmetic, simple algebra, and statistics. (May not be taken for major or minor credit in mathematics.)

2113 Analytic Geometry #

Conic sections, translation and rotations of axes, polar coordinates, coordinate proofs, vector techniques, parametric equations. Prerequisites: MATH 1513 or equivalent and MATH 1613 or equivalent or concurrent enrollment.

2253 Finite Mathematics #

An introductory course in mathematics for the non-mathematics major as well as an elective for mathematics majors and minors. Subjects chosen from logic, sets, permutations, combinations, binomial theorem, probability, coordinate systems, graphing, matrices, vectors, linear programming, and game theory. Also, applications from areas of business and social science are investigated.

2423 Calculus for Business and Social Science

An introductory course in differential calculus for students of business and social sciences. No major or minor credit in mathematics Prerequisite: MATH 1513 or equivalent.

2614 Calculus I #

Functions, limits, derivatives, applications of the derivative, the definite integral, the Fundamental Theorem of Calculus and applications of integration. Prerequisite: Math 2113.

2624 Calculus II #

Inverse functions, logarithmic and exponential functions, hyperbolic functions, inverse trigonometric functions, techniques of integration, improper integrals, L’Hopital’s rule, and infinite series. Prerequisite: MATH 2614.

2633 Calculus III #

Polar coordinates, parametric equations, vector-valued functions, partial derivatives, and multiple integrals. Prerequisite: MATH 2624.

3023 Discrete Mathematics #

A brief introduction to mathematics topics appropriate for problem solving and computer programming, including number systems, logic and Boolean algebra, formal systems and methods of proof, sets, operations, relations, functions, combinatorics, and probability. Prerequisite: Math 1513 or equivalent.

3313 College Geometry #

An advanced study of Euclidean geometry including angles, triangles, parallel and perpendicular lines, circles, polygons, similarity, areas and volumes. Prerequisite: MATH 2614.

3413 Modeling: Geometry and Measurement

A study of mathematical concepts for prospective elementary teachers using tactile models and appropriate technology. Topics include: Geometry, measurement, and trigonometry. No major or minor credit in mathematics. Prerequisite: MATH 1473 or MATH 1513.

3433 Modeling: Numeration and Operations

A study of mathematical concepts for prospective elementary teachers using tactile models and appropriate technology. Topics include: problem solving, logic, relations and their properties, numeration, whole number operations and their properties, and number theory. No major or minor credit in mathematics. Prerequisite: Math 1473 or MATH 1513.

3443 Modeling: Real Numbers and Statistics

A study of mathematical concepts for prospective elementary teachers using tactile models and appropriate technology. Topics include: rational numbers and their operations, integers and their operations, statistics, and probability. No major or minor credit in mathematics. Prerequisite: MATH 1473 or MATH 1513.

3513 Statistical Methods #

The design of experiments and investigation; statistical inference; probability and combinatorial methods; discrete and continuous distributions; expected values; sampling; point estimation; instruction in the use of statistical software. Prerequisite: Math 1513 or equivalent. No credit for both this course and MATH 3623 in the mathematics major.

3623 Mathematical Statistics

Descriptive statistics; probability and combinatorial methods; discrete and continuous probability distributions and densities including multi variant, marginal, and conditional distributions of random variables; sampling distributions; mathematical expectation; simple linear regression and correlation. Prerequisite: MATH 2614.

3713 Abstract Algebra I #

Equivalences, congruences, logic, sets, groups, rings, and fields. Prerequisite: Math 3023.

3983 Linear Algebra #

Real numbers, fields and mappings, vectors and vector spaces, matrices, linear dependence and simultaneous linear equations. Determinants, linear transformations. Prerequisite: Math 3023.

4013 Abstract Algebra II #

The algebra of integers including rings, integral domains, order, divisibility, congruences, isomorphisms, automorphisms, rational numbers and fields. Prerequisite: MATH 3713 or consent of the instructor.

4113 Differential Equations #

Introduction to the theory and application of ordinary differential equations, linear and nonlinear first order equations, second order linear equations and higher order linear equations. Introduction to the Laplace transform and applications. Prerequisite: Math 2624.

4123 Partial Differential Equations #

Series solutions of ordinary equations, Fourier series, classical second order partial differential equations, heat equation, wave equation, and Laplace’s equation. Boundary value problems and Sturm-Liouville theory. Prerequisite: Math 2633, 4113.

4223 Computer Graphics

Algorithms and programming techniques for producing graphics using cathode ray tube terminals and X-Y plotters for the study and solution of problems in mathematics and science. Prerequisite: Math 2614.

4233 Numerical Analysis #

Computational methods for solving algebraic, transcendental, ordinary differential, and finite difference equations, and summation of series. Prerequisite: Math 2633.

4243 Elementary Number Theory #

Divisibility of integers; continued fractions; Diophantine equations; quadratic residues; distribution of primes; numerical functions; mathematical induction. Prerequisite: Math 2614 or equivalent.

4253 Point-Set Topology #

Fundamental ideas of Point-Set Topology necessary for modern mathematics, including sets and functions, metric spaces, topological spaces, compactness, separation, and connectedness. Prerequisite: Math 3713.

4283 Statistical Inference #

Point estimation; interval estimation; hypotheses testing; regression and correlation; analysis of variance; and nonparametric methods. Prerequisite: MATH 3623.

4303 Complex Analysis I #

Complex numbers and their algebra, analytic functions, Cauchy-Riemann conditions, differential and integral calculus of analytic functions. Prerequisite: Math 2633.

4313 Fundamental Concepts of Geometry #

Elementary theory in foundations of geometry and logical systems; basic theory in the fields of Euclidean, non-Euclidean, and synthetic coordinate projective geometry, including homogeneous coordinates; selected topics from topology. Prerequisite: Math 2614.

4403 Mathematical Modeling

Mathematical models of real world situations will be developed and studied. Prerequisite: Math 2633 and knowledge of a computer programming language.

4413 Vector Analysis #

Vector algebra, vector functions of one variable, differential invariants, integral theorems, and vector spaces. Prerequisite: Math 2633.

4613 History of Mathematics #

A study of historical problems and facts that can enrich the appreciation of mathematics, including: the background, interests, and mathematical contributions of famous mathematicians; the nature and diversity of mathematics of various cultures in history; and the relationship between mathematics, science, and other disciplines. Prerequisite: Math 2614.

4713 Teaching of Secondary Mathematics

General aspects of the teaching of mathematics with detailed study of the teaching of high school courses. No minor credit. Not open to liberal arts degree students. Prerequisite: Permission of the instructor.

4721 Senior Seminar

A capstone course for the student majoring in mathematics or mathematics education. The student will analyze problems that tie together strands developed over the student’s course of study. The course will include critical thinking skills, assessment testing, and written and oral presentations. Prerequisite: Permission of the department.

4810 Seminar in Mathematics #

Special advanced projects. Prerequisite: Permission of the instructor.

4913 Advanced Calculus I #

A rigorous treatment of calculus of one and several variables. Elementary topology of Euclidean spaces, continuity, and uniform continuity. Differentiation and integration. Prerequisite: Math 2633 and Math 3713.