MATHEMATICS COURSES
The department of mathematics at Northern state University offers courses that lead to degrees mathematics or math education. This page contains description of these courses. Feel free to click on the course to find its description.
MATH 021. Basic Algebra. A course designed to prepare students for introduction to college mathematics, by providing a bridge between high school and college mathematics. This course introduces real numbers, linear equations, polynomials, factoring, algebraic fractions, rectangular coordinate geometry, function, and radical expressions. Prerequisite: High school mathematics or placement by appropriate math placement score. 3 credits
MATH 101. Intermediate Algebra. A pre-college algebra course designed to prepare students to take the General Education course, MATH 102. Covers the topics of real numbers, polynomials, rational expressions, roots and radicals, quadratic equations, relations and functions, systems of equations and inequalities, second degree equations in two variables, exponential and logarithmic functions and series. Prerequisite: MATH 021 or appropriate math placement score. 3 credits
MATH 102. College Algebra. Introduction to the structure of the real number system: polynomials, roots, factorization, solution of quadratic equations, binomial theorem, probability, inequalities, exponential and logarithmic functions. Prerequisite: MATH 101 or appropriate math placement score. 3 credits
MATH 104. Finite Mathematics. An introduction to topics such as linear equations and matrices, basic concepts of linear programming, counting techniques, probability and statistics, mathematics of finance and theory of games. Prerequisite: MATH 101 (or equivalent) or appropriate math placement score. 4 credits
MATH 115. Pre-Calculus. Field axioms, order axioms, sets, polynomials, factorization, inequalities, and solution of quadratic equations. Includes the trigonometric functions, trigonometric identities, trigonometric solution of algebraic problems. Covers the same material as MATH 102 and 120. Credit for MATH 102 or 120 will not be allowed if MATH 113 has already been taken. Prerequisite: MATH 102, 104 or appropriate math placement score. 5 credits
MATH 120. Trigonometry. Functions, radian measure, special angle formulas, functions involving more than one angle, identities, trigonometric equations, inverse functions, graphs of trigonometric functions, logarithms, solution of triangles. Prerequisite: plane geometry and advanced algebra in high school or MATH 102. 3 credits
MATH 121. Survey of Calculus. Functions, derivatives, definite integral, and their business and other applications; optimization problems. This course does not serve as a prerequisite for most upper level mathematics courses, and does not count toward the mathematics major or as a recommended support course for programs in physical sciences. Prerequisite: MATH 102, MATH 115 or consent of instructor. 3 credits
MATH 123. Calculus I. Plane, functions, limits, derivatives, maximum and minimum, related rates, the mean value theorem, antiderivatives, solution of differential equations, and definite integrals. Prerequisites: MATH 102 and 120 or 113 or equivalent. 4 credits
MATH 125. Calculus II. Applications of the definite integral, techniques of integration, conic sections, polar coordinates, and the calculus of trigonometric, exponential, logarithmetric, hyperbolic functions and infinite series. Prerequisite: MATH 123 or equivalent. 4 credits
MATH 225. Calculus III. Vectors, solid analytic geometry, partial derivatives, and multiple integration. Prerequisite: MATH 125 or equivalent. 4 credits
MATH 315. Linear Algebra. Vector spaces, systems of linear equation, linear transformations and matrices, similarity of matrices and quadratic forms. Prerequisite: MATH 123. 3 credits*
MATH 316. Discrete Mathematics. Selected topics from Boolean algebra, set theory, graph theory, functions and relations, discrete probability, algebraic structures, and logic. Prerequisite: MATH 125 or permission of instructor. 3 credits
MATH 321. Differential Equations. Introduction to ordinary differential equations and their application. Prerequisite: MATH 125. 3 credits*
MATH 341. Math Concepts for Teachers I. Basic principles of the elementary school program. Introduction to sets, numeration systems, problem solving, properties of integers, number theory, and the properties of rational and irrational numbers. 3 credits
MATH 342. Math Concepts for Teachers II. Extension and expansion of MATH 341. Computations with rational numbers, metric geometry, functions, transformation geometry, probability, statistics, and Logo. Prerequisite: MATH 341. 3 credits
Math 351. Foundations of Mathematics. A preparatory course for upper-level mathematics course. Topics include basic propositional and predicate calculus, basic set theory, methods of proof, relations, cardinality, and other selected topics. Prerequisite: MATH 125 or permission of instructor. 3 credit hrs.
MATH 361. Modern Geometry. Lines and surfaces in space including Euclidean geometry and transformations. Prerequisite: MATH 125. 3 credits*
MATH 373. Introduction to Numerical Analysis. Advanced Fortran, boolean algebra, structure of algorithms, computer organization, application of computers to mathematics. Prerequisite: MATH 123 and CSC 130 or 371. 3 credits
MATH 381. Introduction to Probability and Statistics. An introduction to probability and mathematical statistics. Prerequisite: completion of or concurrent enrollment in MATH 125. 3 credits*
MATH 411. Theory of Numbers. Divisibility and prime numbers, congruences, polynomial congruences and primitive roots, periodic decimals, quadratic residues, diophantine equations, and continued fractions. Prerequisite: MATH 125. 3 credits*
MATH 413. Abstract Algebra I. Elementary properties of groups, rings, and fields. Homomorphisms, isomorphisms, polynomials, and field extensions. Prerequisite: MATH 125, MATH 315 recommended. 3 credits
MATH 414. Abstract Algebra II. Extension of topics introduced in MATH 313. Prerequisite: MATH 313. 3 credits*
MATH 421. Complex Analysis. Complex numbers, complex limits and power series. Analytic functions, conformal mapping, boundary line problems, contour integrals. Cauchy's theorem and integral formula. Prerequisite: MATH 225. 3 credits*
MATH 425 Real Analysis I. Introduction to sets and mappings, sequences, open and closed sets, convergence, continuity and uniform continuity, metric spaces. Prerequisite: MATH 225. 3 credits*
MATH 426. Real Analysis II. Rigorous review of elementary calculus: line and surface integrals, partial differentiation, multiple integration, limits and indeterminate forms. Prerequisite: MATH 423. 3 credits*
MATH 450. History of Mathematics. A reading course with emphasis on discovering the cultural influence of mathematics on society. Class discussion will center on unique approaches to problem-solving and early methods of solving present day problems, as well as the philosophical foundations of mathematics. A term project paper examines at least one important mathematician or area of mathematics. 3 credits*
MATH 461. Introduction to Topology. Introduction to topological and metric spaces with specific emphasis on topology of the real line. Prerequisite: MATH 225. 3 credits*
MATH 466. Projective Geometry. Concepts of invariants of binary forms, cross ratio, fixed points, and polar forms are used to study the projective geometry of the line. These and other concepts are extended to the projective geometry of the plane by use of homogeneous projective coordinates. Collineations, conics, correlations, duality, pole and polar theory, and non-Euclidean geometry are treated by projective methods. Prerequisite: MATH 125. 3 credits*
MATH 471. Numerical Analysis I. Solutions of equations by Newton's methods and others. Includes the study of algorithms, interpolating polynomials, numerical methods of differentiation and integration and numerical solutions of differential equations. Prerequisite: MATH 125 and a programming language such as FORTRAN. 3 credits*
MATH 491/592. Special Topics. Independent study in an area of interest. The results of the study must be presented to the instructor as a term paper. 1-3 credits
MATH 490. Senior Seminar. Students and faculty jointly discuss aspects of the mathematics professions, emphasizing methods of written and oral communications. Students will present a research seminar. Prerequisite: junior or senior standing. 1 credit
MATH 494. Internship in Mathematics. An experience in the practical application of mathematics to a specific job situation. An elective course. Prerequisite: consent of mathematics faculty supervisor and department coordinator. 1-4 credits
MATH 740. Seminar in Teaching Secondary School Mathematics. Theory and techniques for presenting secondary school mathematics: films, filmstrips and theory and techniques of measurement in mathematics. May be oriented to particular secondary school subjects such as algebra and geometry, trigonometry, matrix theory, game theory, probability, and calculus. Prerequisite: fifteen hours of mathematics and a teaching certificate. 2 credits*
MATH 798. Thesis or Project Paper. Thesis is six semester hours and may be taken in one semester or in two semester of three hours each. Project paper is three hours, one semester only. 6 or 3 credits
SEED 418. 7-12 Math Methods. Not applicable toward major or minor. Should be the semester before student teaching. Prerequisite: MATH 225 or concurrent enrollment in MATH 225. 2 credits