Course Descriptions

MATH - Mathematics
LA 848, (406) 657-2228

MATH 101 Introductory Algebra 3 cr. Prerequisite: Proficiency in basic mathematics.  Covers introductory algebra concepts involving terminology, exponents, operations on rational numbers, multiplication of polynomials, and basic factoring.  Credits apply toward graduation requirements but do not fulfill Academic Foundations requirements.

MATH 105 Algebra for College Students 4 cr. Prerequisite: MATH 101 or equivalent.  Reviews elementary algebraic concepts and covers more advanced factoring, operations on rational expressions and radical expressions, quadratic equations, the rectangular coordinate system, and exponential and logarithmic functions.  Credits apply toward graduation requirements but do not fulfill Academic Foundations requirements.

* MATH 106 College Algebra 3 cr. Prerequisite: MATH 105.  Covers polynomial, rational, exponential, and logarithmic functions.

* MATH 107 Precalculus 5 cr. Prerequisite: MATH 105.  Includes polynomial, rational, exponential, logarithmic, and trigonometric functions.  Includes modeling with functions and analytic trigonometry.

MATH 110 Mathematical Computing 1 cr. Corequisite: MATH 112.  Introduces the use of computer algebra systems to solve mathematical problems.

* MATH 112 Calculus I 4 cr. Prerequisite: MATH 107. Corequisite: MATH 110.  Covers differentiation and some applications to the computation and approximation of functions, geometry and extremum problems.  Introduces integration.

MATH 113 Calculus II 4 cr. Prerequisite: MATH 112.  Includes techniques and applications of integration, analytic geometry and the theory of sequences and series.  This course is a continuation of MATH 112.

* MATH 121 Finite Mathematics 4 cr. Prerequisite: MATH 105 or equivalent.  Studies applications of systems of linear equations to problems of optimization, elementary functions, logic, and mathematics of finance.  Introduces differentiation.

* MATH 141 Contemporary Mathematics 3 cr. Prerequisite: MATH 105 or three years of high school mathematics.  Introduces the student to areas of interest in applied and pure mathematics.  Content may vary.

MATH 161 Math for Health Sciences 4 cr. Prerequisite: MATH 105 or equivalent.  Covers systems of measurements and their relations.  Treats thoroughly the mathematics of pharmacology.  Introduces elementary functions as models of biological behavior.

MATH 201 Fundamentals of Mathematics I 3 cr. Prerequisite: MATH 105 or equivalent.  Restricted to majors in elementary education and special education.  Stresses problem solving techniques, sets, properties of number systems, algorithms for operations, number theory, and probability.

* MATH 202 Fundamentals of Mathematics II 3 cr. Prerequisite: MATH 201 or consent of instructor.  Focuses on geometry, measurement, computer programming for elementary mathematics, and utilization of computer software for geometry.

MATH 292 Seminar V 1-3 cr.  Provides students an opportunity to investigate intensively topics pertinent to the field of Mathematics.

MATH 293 Workshop V 1-8 cr.  Provides an opportunity for experimental study in an area of Mathematics.

MATH 296 Cooperative Education/Internship V 1-9 cr.  Provides university credit for a sophomore work experience in the area of Mathematics supervised by faculty.  Learning agreement must be completed prior to registration (restricted).

MATH 301 Applied Linear Algebra 4 cr. Prerequisite: MATH 113.  Covers linear systems  and matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and orthogonality—all with an applied emphasis.  Topic emphasis may vary from year to year.

MATH 302 Intermediate Differential Equations 3 cr. Prerequisite: MATH 312.  Presents advanced solution techniques for ordinary differential equations including the method of Frobenius, the transform, phase plane analysis, and eigenfunction expansions.  Also examines partial differential equations in the context of boundary-value problems for the heat, wave, and potential equations.

MATH/COMP 305 Discrete Structures I 4 cr. Prerequisite: MATH 113 and COMP 101.  Covers logic, recursion, induction and basic data models.  Surveys combinatorics and the theory of algorithms with attention to design analysis and verification techniques.

MATH/COMP 306 Discrete Structures II 4 cr. Prerequisites: MATH/COMP 305.  Discusses algorithm design in the context of graph theory.  Introduces automata and formal languages.  Covers logic, computability, artificial intelligence and robotics.

MATH 311 Geometry (WR) 3 cr. Prerequisite: MATH 301 consent of instructor.  Deals with the fundamentals of synthetic and modern geometry.  Covers topics in non-Euclidean geometry as well as topics in Euclidean geometry, such as finite geometry, space geometry, constructions, and solid geometry.

MATH 312 Multivariable Calculus 4 cr. Prerequisite: MATH 301.  Covers vector-valued functions, functions of two and three variables, partial differentiation, as well as multiple, line, and surface integrals; includes a variety of applications.

MATH 320 Trends in Elementary Mathematics 3 cr. Prerequisites: MATH 202 or consent of instructor.  Focuses on a consideration of applications of mathematics that are within the scope of the elementary (K-8) mathematics curriculum.  Examples will be drawn from existing elementary mathematics curriculum projects and be adapted from projects at higher levels.  The use of this content will serve to reflect the curriculum changes that have been called for by the Curriculum and Evaluation Standards (NCTM, 1989) and will show how math is responding to the expectation that the curriculum demonstrate greater relevance.  Topics to be covered include geometry and technology, measurement, social science applications, business applications, and science applications (especially using probability).  Technology will be incorporated as appropriate in all activities.

MATH 331 History of Mathematics (WR) 3 cr. Prerequisite: junior standing or consent of instructor.  Emphasizes the historical development of mathematics during 5,000 years, from primitive counting through set theory.  Particularly useful for those teaching mathematics

MATH/STAT 341 Probability 3 cr. Prerequisite: MATH 113.  Includes discrete and continuous random variables, expectation, moment generating functions, and the limit theorems of probability.

MATH/STAT 342 Stochastic Processes 3 cr. Prerequisite: MATH/STAT 341.  Includes Markov chains, Poisson processes, birth and death processes, renewal theory, Brownian motion, and simulation.

MATH/COMP 371 Numerical Computing (TN) 3 cr. Prerequisites: COMP 101 and MATH 113.  Presents machine arithmetic, approximate solution of equations and systems of equations, interpolation, numerical integration, and methods for the approximate solution of differential equations.

MATH/COMP 372 Scientific Computing 3 cr. Prerequisites: MATH/COMP 371.  Introduces computer modeling of both deterministic and random phenomena, including dynamical systems.  Topic emphasis may vary from year to year.

MATH 390 Peer Tutoring 1 cr. R-3 Prerequisites: mathematics major or minor and approval of the director of the Math Lab.  Provides practical experience imparting basic mathematical skills to the students in the Math Lab.

MATH 412 Mathematical Analysis I 3 cr. Prerequisite: MATH 312.  Presents the basic theorems of one and multivariable analysis as a basis for higher analysis and its applications.

MATH 413 Mathematical Analysis II 3 cr. Prerequisite: MATH 412.  Covers topics in multivariable calculus and/or complex variables.

MATH 420 Implementing the NCTM Standards 3 cr. Prerequisites: MATH 202 or consent of instructor.  Discusses the National Council of Teachers of Mathematics Curriculum and Evaluation Standards and illustrates how these standards can be implemented in the elementary mathematics classroom.

MATH 421 Algebraic Structures 3 cr. Prerequisite: MATH 301.  Covers groups, rings, fields and vector spaces.  Exact topics may vary from year to year.

MATH 491 Independent Study V 1-3 cr. Prerequisites: consent of instructor and department chairperson.  Provides outstanding students an individual opportunity to explore material not covered by regular mathematics courses.

MATH 492 Seminar V 1-3 cr. Prerequisite: mathematics major or minor, or consent of instructor.  Investigates intensively topics pertinent to the area of Mathematics.

MATH 493 Workshop V 1-3 cr. Provides an opportunity for experimental study in an area of Mathematics.

MATH 496 Cooperative Education/Internship V 1-9 cr. Provides university credit for a work experience in the area of Mathematics, supervised by faculty.  Learning agreement must be completed prior to registration (restricted).

MATH 498 Capstone Seminar V 1-3 cr. Prerequisite: Senior Standing in Math.  Studies a single area of mathematics in depth, drawing on ideas and techniques from previous courses.  Requires students to analyze and create mathematical arguments that lead to written or oral reports.

Graduate Level Courses

The following graduate level course is described in the Graduate Catalog.

STAT 541 Applied Statistics 3 cr.

For MIS courses see Information Systems, page 356.

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