Nicholls State University

Reaffirming our commitment to excellence in education through reaffirmation of SACS-COC accreditation


COURSES OF INSTRUCTION FOR MATHEMATICS

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Courses numbered below 100 are developmental, courses in the 100 series are designed for freshmen, 200 courses are for sophomores, and 300 and 400 courses are for juniors and seniors.


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Admission to courses numbered 300 or above requires sophomore standing and completion of six semester hours of non‑developmental English and three semester hours of non‑developmental mathematics.


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Numbers preceded by an asterisk (*)indicate courses carrying undergraduate credit or graduate credit. Such courses are structured to ensure appropriate attention to both groups.


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Courses numbered 500 to 599 are designed for graduate students. Seniors, however, may be admitted under certain conditions (see Admissions of Seniors to Part‑Time Graduate Study).


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A freshman or sophomore cannot register for a course listed and offered for graduate or undergraduate credit, if a graduate student is enrolled in the course.


Courses numbered below 100 are developmental and are not acceptable for credit toward graduation. Some other courses numbered above 100 may not carry credit toward graduation; see course description.

The numerical listing after the course titles gives the following information:

first number :  

semester credit hours


second number :  

lecture hours per week


third number :  

laboratory or other contact hours per week.


ACCT 205 :  

Introduction to Financial Accounting. 03‑3‑0. (3 semester credit hours. 3 hours lecture per week. No laboratory.) (52.0301)


BIOL 204 :  

General Microbiology Laboratory. 1-0-3. (1 semester credit hour. No lecture. 3 hours laboratory per week.) (26.0503)


CHEM 451 :  

Research Problems. 2‑1‑3.(2 semester credit hours. 1 hour lecture per week. 3 hours laboratory per week.) (40.0599)


Courses offered only in specific semesters are identified by the following designations:

Su only  

Fa-odd years only

Sp only  

Fa-even years only

Fa only  

Sp-odd years only

  

Sp- even years only


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If courses have no designation(s), they are generally offered each semester, but student‘s should contact individual departments for variations.

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Summer Session course offerings vary greatly. Students must consult with their Dean's office for summer course offerings.


The University reserves the right to withdraw, modify, or add to the courses offered.

The four capital letters in parentheses represent the computerized abbreviation for that subject field; the abbreviation is often used on documents and course schedules. The numbers in parentheses represent the Integrated Post-secondary Education Data System (IPEDS).


Mathematics (MATH-27.01)


No more than six semester hours credit will be granted in mathematics courses numbered below 165.

MATH 002. Developmental Mathematics I. 3‑6‑0. Review of arithmetic measurements, integers, rational numbers, polynomials, graphs, rational expressions, solving equations in one variable, inequalities, quadratic equations, and applications of algebra. This course is also available via Internet. Basic computer knowledge is required for students enrolled in the Internet section. (Credit earned in this course cannot be applied toward a degree). (32.0104)

MATH 003. Developmental Mathematics II. 3‑6‑0. Prerequisite: C or better in MATH 002 or satisfactory score on placement test. The real numbers and their properties, linear equations and inequalities, systems of equations, polynomials, fractional expressions and equations, exponents and radicals, quadratic equations, and functions and their graphs. This course is also available via Internet. Basic computer knowledge is required for students enrolled in the Internet section. (Credit earned in this course cannot be applied toward a degree.) (32.0104)

MATH 021. Developmental Mathematics IA. 3‑3‑0. Review of arithmetic measurements, integers, rational numbers, real numbers and their properties, exponents, polynomials, factoring, linear equations and inequalities, and quadratic equations. Course covers the first half of MATH 002 and is offered only when six-hour format is inappropriate. (Credit earned in this course cannot be applied toward a degree.) Fa- even years only. (32.0104)

MATH 022. Developmental Mathematics IB. 3‑3‑0. Prerequisite: C or better in MATH 021. Rational expressions, linear equations and inequalities in two variables, and radicals. Course covers the second half of MATH 002 and is offered only when six-hour format is inappropriate. (Credit earned in this course cannot be applied toward a degree.) Sp- odd years only. (32.0104)

MATH 100. College Algebra. 5-5-0. Prerequisite: C or better in Math 003 or Math ACT score of 18 or better or satisfactory score on placement test. Degree credit will be granted in only one of the following courses: Math 100, Math 101. Linear equations and inequalities, linear applications, systems of linear equations, quadratic equations and inequalities, absolute value equations and inequalities, radical equations, functions and graphs, polynomial and exponential and logarithmic functions. Credit in MATH 100 is equivalent to MATH 101. (27.0101)

MATH 101. College Algebra. 3‑3‑0. Prerequisite: Grade of C or better in MATH 003, or Grade of D in MATH 100, or satisfactory score on placement test. Linear equations and inequalities, linear applications, systems of linear equations, quadratic equations and inequalities, absolute-value equations and inequalities, radical equations, functions and graphs, polynomial and exponential and logarithmic functions. This course is also available via Internet. Basic computer knowledge is required for students enrolled in the Internet section. (27.0101)

MATH 102. Trigonometry. 3‑3‑0. Prerequisite: C or better in MATH 101 or advanced placement. Trigonometric ratios, circular functions and graphs, solutions of triangles, logarithmic and exponential functions, inverse functions, identities and equations, complex numbers, introduction to analytical geometry. (27.0101)

MATH 105. Mathematics for Business and Economic Decisions. 3‑3‑0. Prerequisite: C or better in MATH 101 or advanced placement. Polynomial functions, exponential and logarithmic functions, mathematics of finance, systems of linear equations and inequalities, linear programming, probability. (27.0101)

MATH 106. Calculus with Business and Economic Applications. 3-3-0. Prerequisite: C or better in MATH 101 or advanced placement. Functions, intuitive limits, derivatives, applications of the derivative and mathematics of finance. (27.0101)

MATH 108. Pre-Calculus. 3‑3‑0. Prerequisite: C or better in MATH 101 or advanced placement. Inequalities, functions, theory of equations, exponential and logarithmic functions; trigonometric functions, analytic geometry. (27.0101)

MATH 110. Mathematics for Elementary Teachers I. 3-3-0. Prerequisite: C or better in MATH 101 or advanced placement. Logic and deductive reasoning; patterns, sequences, functions, and problem solving; introductory number theory; the real number system, informal and formal solutions of equations and inequalities. (27.0101)

MATH 114. Honors Trigonometry. 3-3-0. Prerequisite: 24 MATH ACT. Honors based investigation of trigonometric ratios, circular functions and graphs, solutions of triangles, inverse functions, identities and equations. (27.0101)

MATH 165. Calculus I. 5‑5‑0. Prerequisite: C or better in MATH 102 or 108 or advanced placement. Limits, derivatives and integrals of algebraic functions, applications of derivatives and integrals. (27.0101)

MATH 166. Calculus II. 5‑5‑0. Prerequisite: C or better in MATH 165. Transcendental functions, derivatives, integrals, analytical geometry, infinite series, and polar coordinates. (27.0101)

MATH 207. Calculus I for Technology and Business. 3‑3‑0. Prerequisite: C or better in MATH 102 or 105 or 108 or advanced placement. Analytic geometry, intuitive limits, derivatives and integrals and their applications. (27.0101)

MATH 208. Calculus II for Technology and Business. 3‑3‑0. Prerequisites: C or better in MATH 102 and 207, or C or better in 165. Application of the integral, methods of integration, transcendental functions, differential equations. Sp only. (27.0101)

MATH 210. Mathematics for Elementary Teachers II. 3-3-0. Prerequisite: C or better in MATH 110. Introductory probability, introductory statistics, plane figures, measurement, geometric constructions, area, perimeter, tessellations, similarity, congruence, coordinate geometry, mappings and transformations, space figures, volume, surface area, right triangle trigonometry. (27.0101)

MATH 211. Mathematics for Elementary Teachers. 3‑3‑0. Prerequisite: C or better in MATH 102 or 110. Experimental and informal geometry, sets, points, lines, planes, space, elementary theorems and proofs, congruence and measurement of segment and angles, congruence of triangles and geometric construction, parallels and parallelograms, space and figures, similarity of triangles, area and volume measurement, measurement related to circles, elements of spherical geometry, plane coordinate geometry, and the postulational method. (27.0101)

MATH 214. Introductory Statistics. 3-3-0. Prerequisite: C or better in MATH 101. Organizing data, averages and variations, stem-and-leaf and box plots and other graphical presentations of data, conducting experiments, elementary probability theory, distributions, estimations, hypothesis testing, regression and correlation. This course is also available via Internet. Basic computer knowledge is required for students enrolled in the Internet section. (27.0101)

MATH 261. Discrete Mathematics. 3-3-0. Prerequisite: MATH 106, 165, or 207 or permission of department head. Introduction to logic, set theory, number theory, graph theory, mathematical induction and recursion, groups and semi-groups, and Boolean algebra. MATH 261 cannot be used in place of MATH 358 or for satisfying prerequisite requirements for other mathematics courses. (27.0101)

MATH 265. Calculus III. 3‑3‑0. Prerequisite: C or better in MATH 166. Vectors and parametric equations, partial derivatives, multiple integrals, derivatives and integrals of vector functions, introduction to linear algebra. (27.0101)

MATH 301. Elementary Statistical Methods I. 3‑3‑0. Prerequisite: MATH 102 or 105. Descriptive statistics, graphical presentation of data, trend and relationship, some probability distributions, central limit theorem, estimation, confidence interval, hypothesis testing, regression and correlation analyses, non‑parametric tests. Emphasis on applications and statistical computer packages. Fa only. (27.0501)

MATH 320. Mathematics for Middle School Teachers. 3-3-0. Prerequisites: C or better in MATH 101, 110, 210, and 214. Corequisite: MATH 321 (for students certifying in grade levels 4-8). Number systems, number sense, operations, quantitative literacy, measurement; representation of functions and other algebraic structures; geometric modeling; elementary game theory; inductive, deductive, and inferential methods of problem-solving; elementary analysis. School site visits required. (27.0101)

MATH 321. Mathematics for Middle School Teachers Laboratory. 1-0-2. Corequisite: MATH 320. Reinforces and applies concepts learned in MATH 320; emphasis on technology, communication, and the use of mathematics in diverse contexts. School site visits required. (27.0101)

MATH 355. Differential Equations. 3‑3‑0. Prerequisite: MATH 166. Theory and application of ordinary differential equations. (27.0101)

MATH 358. Foundations of Mathematics. 3‑3‑0. Prerequisite: MATH 166. Logic, sets, methods of mathematical proofs, relations, functions, mappings, ordered fields and their properties, axiomatization of number systems. (27.0101)

MATH 360. Linear Algebra. 3‑3‑0. Prerequisite: MATH 358. The real number system, vectors, matrices, and linear equations, determinants, polynomials and complex numbers, vector spaces and linear transformations. (27.0101)

*MATH 401. Theory of Probability. 3‑3‑0. Prerequisite: MATH 265. Elementary probability theory, random variables, discrete and continuous probability distributions, moments and moment‑generating functions, bivariate probability distributions, marginal and conditional distributions, conditional expectations, functions of random variables, sampling distributions, and the central limit theorem. Fa only. (27.0501)

*MATH 402. Mathematical Statistics. 3‑3‑0. Prerequisite: MATH 401. Estimation, point estimators and methods of estimation, confidence interval, hypothesis testing, likelihood ratio tests, comparison of two means and two variances, linear models and estimation by method of least squares, non‑parametric tests. Sp only. (27.0501)

*MATH 405. Numerical Analysis I. 3‑3‑0. Prerequisites: MATH 265, 355, 360 and CMPS 221. Numerical solution of equations and systems, convergence theorems, eigenvalue and eigenvector methods, interpolation and extrapolation. Attention to theory with emphasis on methods applicable to high-speed computation. Fa only. (27.0101)

.*MATH 423. Geometry. 3‑3‑0. Prerequisite: MATH 360. A development of traditional Euclidean and non‑Euclidean geometries. Fa only. (27.0101)

*MATH 461. Linear Programming. 3‑3‑0. Prerequisite: MATH 360. Geometry of linear programming; matrix notations; extreme point theorem; basic solutions; the simplex method; slack, excess, and artificial variables; duality; sensitivity analysis; integer programming with applications. Fa only. (27.0301)

*MATH 465. Modern Algebra I. 3‑3‑0. Prerequisites: MATH 358 and 360. Introductory concepts, axiomatic approach to the number system, general algebraic systems, groups. Sp only. (27.0101)

MATH 471. Elementary Topology. 3‑3‑0. Prerequisite: MATH 360. An information and introductory study of topological spaces. (27.0101)

MATH 481. Principles of Mathematical Analysis I. 3‑3‑0. Prerequisites: MATH 265 and 360. Vectors and matrices; differential calculus of functions of several variables; vector differential calculus; integral calculus of functions of several variables; vector integral calculus. (27.0101)

*MATH 482. Principles of Mathematical Analysis II. 3‑3‑0. Prerequisite: MATH 481. Three‑dimensional theory and applications; infinite series; conformal mappings; partial differential equations. (27.0101)

MATH 485. Complex Analysis. 3‑3‑0. Prerequisites: MATH 265, 355 and 358. Complex numbers, analytic functions, elementary functions, mapping by elementary functions, integrals, power series. (27.0101)

MATH 491. Mathematical Models. 3‑3‑0. Prerequisites: MATH 265, 355 and CMPS 221 or CIS 250. The study of various types of mathematical models which arise in biology, management, economics, and physical and social sciences. (27.0301)

MATH 495. in Advanced Mathematics. 3‑3‑0. Prerequisite: Permission of department head. Selected current topics in mathematics. May be repeated for credit if content differs. (27.0101)

MATH 499. Undergraduate Major Examination. 0-0-1. Must be scheduled during the final year. S is assigned upon taking the examination; otherwise the student receives a grade of U. (27.999)

MATH 500. Preparation for Teaching Developmental Mathematics. 1-1-0. Prerequisite: Graduate assistant in the Department of Mathematics or permission of department head. Discussion of the administrative and pedagogical aspects in teaching developmental mathematics with an emphasis on lesson planning, teaching styles, classroom etiquette and management, and test development.  S or U will be earned upon completion. (Credit earned in this course cannot be applied toward a degree.) (27.0501)

MATH 503. Statistical Data Analysis I. 3‑3‑0. Prerequisites: MATH 360 and 402. Simple linear regression, measures of association and correlation, analysis of variance table and its relationship to regression analysis, matrix approach to linear regression, regression line comparison, residual analysis, polynomial regression. Attention to theory with emphasis on applications and statistical packages. Fa only. (27.0501)

MATH 504. Statistical Data Analysis II. 3‑3‑0. Prerequisite: MATH 503. General linear models, analysis of variance models, model building techniques, dummy variables in linear models, residual analysis and test of assumptions, factor analysis, two‑group discriminant analysis. Attention to theory with emphasis on applications and statistical packages. Sp only. (27.0501)

MATH 505. Numerical Methods I. 3‑3‑0. Prerequisites: CMPS 221 or CIS 250 and MATH 405. Numerical methods for single ordinary differential equations and systems, convergence, stability, error analysis. Attention to theory with emphasis on methods applicable to high speed computation. Fa only. (27.0101)

MATH 506. Numerical Methods II. 3‑3‑0. Prerequisite: MATH 505. Numerical methods for single partial differential equations and systems, numerical methods for integral equations, convergence, stability, error analysis. Attention to theory with emphasis on methods applicable to high speed computation. Sp only. (27.0101)

MATH 507. Biostatistics. 3-3-0. Prerequisite: MATH 301 or 402. The application of statistical methods and techniques to the study of living organisms and biological systems. Includes experimental design and data analysis, projection methods, descriptive and inferential statistics, and specific computer applications. (26.1102)

MATH 509. Logic and Foundations of Mathematics for Teachers. 3-3-0. Prerequisites: MATH 265 and 358. Cornerstone course normally taken in first semester of graduate study. Developing and evaluating arguments and proofs, the use of various types of reasoning, methods of proof, making and investigating conjectures. (27.0101).

MATH 510. Number-Theoretic and Discrete Structures. 3-3-0. Prerequisite or corequisite: MATH 509. Primes, congruences, algebraic number theory, diophantine equations, and theory of algebraic equations. Applications of the theory of number systems to problem solving. Representation of phenomena via finite graphs, recursive relations, and combinatorial structures. (27.0101)

MATH 511. Calculus and Analytic Structures. 3-3-0. Prerequisite or corequisite: MATH 509. Formal exploration of continuity, limits, derivatives, integrals, sequences, series, basic differential equations, and introductory numerical analysis. Applications of concepts. (27.0101)

MATH 512. Probability and Statistics. 3-3-0. Prerequisite: MATH 360 and MATH 402. Discrete and continuous probability distributions, measures of variability, estimation, hypothesis testing, prediction, introduction to stochastic modeling and operations research, simple and multiple linear regressions, measures of association and correlation, analysis of variance and its relationship regression analysis. (27.0501)

MATH 523. Geometric and Algebraic Structures. 3-3-0. Prerequisite or corequisite: MATH 509.  Examination of the complementary relationships between geometry and algebra, and among the structures in each discipline. Focuses on the interdependence among geometric and algebraic properties of objects. Spatial reasoning, non-Euclidean representations of curves and space, fractal geometry, calculus of higher dimensions. Representation of geometric structures and other phenomena via semigroups, groups, rings, and other algebraic constructs. (27.0101)

MATH 530. Introduction to Decision Theory. 3‑3‑0. Prerequisite: MATH 401. Topics in decision theory with applications to real world problems. (27.0301)

MATH 540. Applied Matrix Analysis. 3‑3‑0. Prerequisite: MATH 360. Vector spaces and transformations, eigensystems, quadratic forms. (27.0301)

MATH 557. Applied Analysis I. 3‑3‑0. Prerequisite: MATH 358. Vectors; matrices; differential and integral calculus of functions of several variables; differential and integral vector calculus. (27.0301)

MATH 558. Applied Analysis II. 3‑3‑0. Prerequisite: MATH 557. Functions of a complex variable; derivatives; integrals; analytic functions; Cauchy‑Riemann equations; Cauchy's integral theorem and formula; power series. (27.0301)

MATH 561. Operations Research I. 3‑3‑0. Prerequisite: MATH 461. Sensitivity analysis and duality, transportation and assignment problems, network models, integer programming, advanced and new topics in linear programming, nonlinear programming, applications to real-world problems. Attention to theory with emphasis on applications and computer packages. Fa only. (27.0301)

MATH 562. Operations Research II. 3‑3‑0. Prerequisites: MATH 401 and 561. Decision making, game theory, deterministic and probabilistic inventory models, recent developments in inventory theory, Markov chains, deterministic and probabilistic dynamic programming, queuing theory. Attention to theory with emphasis on applications and computer packages. Sp only. (27.0301)

MATH 570. Mathematical Modeling and Problem Solving. 3-3-0. Prerequisite: MATH 355 and MATH 402. Use of previous course work to construct models for various problems in the sciences, managerial sciences, or other related areas. (27.0301)

MATH 573. Topics in the History of Mathematics. 3-3-0. Prerequisite or corequisite: MATH 509. Selected topics in the history of mathematics. A general survey of mathematics normally includes developments in geometry, algebra, number theory, and calculus as well as biographies of significant mathematicians and their contributions to mathematics and society. May be repeated for credit if content differs. No more than six hours may be counted towards a degree. (27.0101)

MATH 584. Technology and Communication in Mathematics Education. 3-3-0. Prerequisite: MATH 509. Capstone course normally taken in final semester of graduate study. Application of a variety of strategies and use of multiple sources of information and technology to solve problems. Students draw on previous course work as they conduct investigations and present mathematical ideas orally, in writing, and by demonstration. Includes formal and informal presentations in groups or individually. Presentations may occur at off-campus sites. (27.0101)

MATH 588. Topics in Graduate Mathematics. 6‑6‑0. Prerequisite: Permission of department head. Selected current topics in mathematics. May be repeated for credit if content differs. (27.0101)

MATH 589. Topics in Graduate Mathematics. 3‑3‑0. Prerequisite: Permission of department head. Selected current topics in mathematics. May be repeated for credit if content differs. (27.0101)

MATH 590. Topics in Graduate Mathematics. 3‑3‑0. Prerequisite: Permission of department head. Selected current topics in mathematics. May be repeated for credit if content differs. No student may apply more than six hours toward graduation. (27.0101)

MATH 595. Master's Comprehensive Examination. 0‑0‑4. Must be scheduled during final semester or session. S or U assigned upon completion of examination. (27.9999)


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