The Department of Mathematics
Computer Science/Programming
CSCI 111A Programming with Java I. 4 Credits
Term Typically Offered: Fall, Spring
Prerequisite(s): M 095.
Introduces programming in Java. Presents algorithms and problem solving, data structures in Java, searching and sorting, procedures and functions, and elements of program life cycle.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
CSCI 132 Bsc Data Structures/Algorithms. 4 Credits
Prerequisite(s): CSCI 111A. (Sp) Investigates the essential properties of data structures and algorithms for operating on them.
Covers the use of data structures as tools in algorithms design. Provides exposure to searching, sorting, and hashing techniques using the Java language.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
CSCI 232 Data Structures and Algorithms. 4 Credits
Computer language Java and software development will be used as the vehicles to introduce applet and its application to computer representations of various important concepts and their applications.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
CSCI 246 Discrete Structures. 4 Credits
Term Typically Offered: Fall
Prerequisite(s): M 171.
4cr. Covers logic, recursion, induction and basic data models. Surveys combinatorics and the theory of algorithms with attention to design analysis and verification techniques.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
CSCI 260 Object Oriented Programming I. 3 Credits
Prerequisite(s): CAPP 131.
Familiarizes students with principles of Object-Oriented Programming. Includes Object-Oriented features in selected software packages; creating classes; object hierarchies and collections; Active X components; ADO objects. Juniors will complete a major programming project (Cross-listed with City College).
Lecture Hours 3
Department: College of Business-All Depts
CSCI 346 Advanced Discrete Structures. 4 Credits
Term Typically Offered: Spring
Prerequisite(s): CSCI 246.
Discusses algorithm design in the context of graph theory. Introduces automata and formal languages. Covers logic, computability, artificial intelligence and robotics.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
CSCI 360 Object Oriented Programming II. 3 Credits
Prerequisite(s): CAPP 131.
Familiarizes students with principles of Object-Oriented Programming. Includes Object-Oriented features in selected software packages; creating classes; object hierarchies and collections; Active X components; ADO objects. Juniors will complete a major programming project (Cross-listed with City College).
Lecture Hours 3
Department: College of Business-All Depts
CSCI 492 Independent Study. 1-4 Credits
Department: Math/Comp Sci/Statistics
Mathematics
M 105 Contemporary Mathematics. 3 Credits
Term Typically Offered: Fall, Spring
Prerequisite(s): Appropriate placement score.
Gives students the skills required to understand and interpret quantitative information that they encounter in the news and in their studies, and make numerically based decisions in their lives. Topics include working with units and measurement, set theory, financial mathematics, and essentials of statistics.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 110 Mathematical Computing. 1 Credit
Term Typically Offered: Fall, Spring
Introduces the use of computer algebra systems to solve mathematical problems.
Lecture Hours 1
Department: Math/Comp Sci/Statistics
M 121 College Algebra. 3 Credits
Term Typically Offered: Fall, Spring, Summer
Prerequisite(s): M 095 or M 098 or appropriate placement score.
Covers the concepts of functions, complex numbers, and solving basic system of equations. Investigates linear, quadratic, polynomial, exponential, and logarithmic functions.
Department: Math/Comp Sci/Statistics
M 122 College Trigonometry. 3 Credits
Term Typically Offered: Fall, Spring
Prerequisite(s): M 121 or appropriate placement scores.
Covers trigonometric functions and their inverses, polar coordinates, graphing, vectors, and trigonometric identities. Includes sequences and series.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 130 Math for Elementary Teachers I. 3 Credits
Term Typically Offered: Fall, Spring
Prerequisite(s): M 088 or appropriate placement score.
Stresses topics in counting and cardinality, operations in base ten, basic operations with fractions, rational numbers, two-dimensional geometry, and proportional reasoning. Emphasis is on problem-solving and non-algorithmic thinking within grade K-5 of the Montana Common Core State Standards for mathematics. Designed for majors in elementary education and secondary education.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 131 Math for Elementary Teacher II. 3 Credits
Term Typically Offered: Fall, Spring
Prerequisite(s): M 130 or consent of instructor.
Stresses advanced operations with fractions, ratios and proportional relationships, analytic and three-dimensional geometry, expressions and equations, and statistics and probability. Emphasis is on problem-solving and non-algorithmic thinking within grades 5-8 of the Montana Common Core State Standards for mathematics.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 143 Finite Mathematics. 4 Credits
Term Typically Offered: Fall, Spring
Prerequisite(s): M 095 or appropriate placement score.
Studies applications of systems of linear equations to problems of optimization, elementary functions, logic, and mathematics of finance. Introduces differentiation.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
M 161 Survey of Calculus. 3 Credits
Term Typically Offered: Fall, Summer
Prerequisite(s): M 121 or appropriate placement test score.
Covers basic calculus concepts including limits, differentiation, and integration with applications to business, science, and social science problems.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 171 Calculus I. 4 Credits
Term Typically Offered: Fall, Spring
Prerequisite(s): M 122 or appropriate placement score.
Covers differentiation and presents applications to the approximation of functions, root finding, and 1-variable optimization. Introduces integration.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
M 172 Calculus II. 4 Credits
Term Typically Offered: Fall, Spring
Prerequisite(s): M 171.
Includes techniques and applications of integration, analytic geometry and the theory of sequences and series. This course is a continuation of M 171.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
M 242 Methods of Proof. 3 Credits
Term Typically Offered: Spring
Prerequisite(s): M 171.
Covers reasoning and communication in mathematics, including logic, generalization, existence, definition, proof, and the language of mathematics. Topics include functions, relations, set theory, recursion, algebra, number theory, and other areas of mathematics.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 273 Multivariable Calculus. 4 Credits
Term Typically Offered: Fall
Prerequisite(s): M 172.
4cr. 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.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
M 274 Intro Differential Equations. 4 Credits
Term Typically Offered: Spring
Prerequisite(s): M 172.
4cr. Presents methods for the solution of first and higher-order differential equations including variation of parameters, undetermined coefficients, the Laplace transform, and power series expansions. Introduces phase plane methods.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
M 294 Seminar/Workshop. 1-8 Credits
Provides students an opportunity to investigate intensively topics pertinent to the field of Mathematics.
Department: Math/Comp Sci/Statistics
M 298 Internship/Cooperative Educ. 1-9 Credits
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).
Department: Math/Comp Sci/Statistics
M 305 Discrete Structures I. 4 Credits
Term Typically Offered: Fall
Prerequisite(s): M 171.
4cr. Covers logic, recursion, induction and basic data models. Surveys combinatorics and the theory of algorithms with attention to design analysis and verification techniques.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
M 306 Discrete Structures II. 4 Credits
Term Typically Offered: Spring
Prerequisite(s): M 305.
Discusses algorithm design in the context of graph theory. Introduces automata and formal languages. Covers logic, computability, artificial intelligence and robotics.
Department: Math/Comp Sci/Statistics
M 329 Modern Geometry. 3 Credits
Term Typically Offered: Fall
Prerequisite(s): M 242 or M 305 or consent of instructor.
3cr. 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.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 330 History of Mathematics. 3 Credits
Term Typically Offered: Fall
Emphasizes the historical development of mathematics during 5,000 years, from primitive counting through set theory. Particularly useful for those teaching mathematics.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 333 Linear Algebra. 4 Credits
Term Typically Offered: Spring
Prerequisite(s): M 171.
Covers linear systems and matrices, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, and orthogonality. Exact topics may vary year to year.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
M 371 Numerical Computing. 4 Credits
Term Typically Offered: Spring
Prerequisite(s): M 333.
Presents floating-point arithmetic, approximate solution of equations and systems of equations, polynomial interpolation, numerical integration and differentiation, and the approximate solution of ordinary differential equations. Exact topics may vary from year to year.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
M 397 Educ Methods: Peer Tutoring. 1 Credit
Prerequisite(s): mathematics major or minor and approval of the director of the Math Lab.
R-3 Provides practical experience imparting basic mathematical skills to the students in the Math Lab.
Department: Math/Comp Sci/Statistics
M 431 Abstract Algebra I. 3 Credits
Term Typically Offered: Fall
Prerequisite(s): M 242 and M 333.
Covers groups, rings, fields and vector spaces. Exact topics may vary from year to year.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 471 Mathematical Analysis. 3 Credits
Prerequisite(s): M 242 and M 273.
Presents the basic theorems of one and multivariable analysis as a basis for higher analysis and its applications.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 472 Intro to Complex Analysis. 3 Credits
Prerequisite(s): M 273.
Covers topics in multivariable calculus and/or complex variables.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
M 492 Independent Study. 1-4 Credits
Prerequisite(s): consent of instructor and department chairperson.
Provides outstanding students an individual opportunity to explore material not covered by regular mathematics courses.
Department: Math/Comp Sci/Statistics
M 494 Seminar/Workshop. 1-4 Credits
Prerequisite(s): mathematics major or minor, or consent of instructor.
Investigates intensively topics pertinent to the area of Mathematics.
Department: Math/Comp Sci/Statistics
M 498 Internship/Cooperative Educ. 1-9 Credits
Provides university credit for a work experience in the area of Mathematics, supervised by faculty. Learning agreement must be completed prior to registration (restricted).
Department: Math/Comp Sci/Statistics
M 499 Capstone. 3 Credits
Term Typically Offered: Fall
Prerequisite(s): Senior Standing in Math.
Requires students to analyze and create mathematical arguments that lead to written or oral reports. Synthesizes the ideas and techniques acquired in prior mathematics courses. Incorporates the department assessment exams.
Department: Math/Comp Sci/Statistics
M 570 Independent Study. 1-3 Credits
Term Typically Offered: Fall, Spring, Summer
Prerequisite(s): Graduate standing and permission of instructor.
Provides students an opportunity to explore material not covered by regular mathematics courses.
Department: Math/Comp Sci/Statistics
M 580 Special Topics. 1-4 Credits
Term Typically Offered: Fall, Spring, Summer
Prerequisite(s): Graduate standing and permission of instructor.
Investigates intensively topics pertinent to the area of Mathematics.
Lecture Hours 1-4
Department: Math/Comp Sci/Statistics
Statistics
STAT 141 Intro to Statistical Concepts. 3 Credits
Term Typically Offered: Fall, Spring, Summer
Prerequisite(s): M 088 or equivalent.
Introduces the basic ideas of modern statistics including descriptive statistics, probability, and statistical inference.
Lecture Hours 3
Department: Math/Comp Sci/Statistics
STAT 216 Introduction to Statistics. 4 Credits
Term Typically Offered: Fall, Spring, Summer
Prerequisite(s): M 088 or equivalent.
Covers descriptive techniques, probability distributions, and statistical inference of one and two sample tests and associated confidence intervals for means and proportions and linear regression. Introduces statistical analysis using technology.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
STAT 217 Interm Statistical Concepts. 4 Credits
Prerequisite(s): STAT 216 or consent of instructor.
Covers one and two sample tests and associated confidence intervals for means and proportions; one-way analysis of variance; F-tests; multiple comparisons; correlation; contingency tables; and distribution-free methods. Emphasizes statistical analysis using the computer.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
STAT 294 Seminar/Workshop. 1-8 Credits
Department: Math/Comp Sci/Statistics
STAT 341 Intro Probability & Statistics. 4 Credits
Term Typically Offered: Fall
Prerequisite(s): M 273.
Covers discrete and continuous random variables, moment generating functions, statistical inference, and methods of estimation. Topics may vary from year to year.
Lecture Hours 4
Department: Math/Comp Sci/Statistics
STAT 492 Independent Study. 1-3 Credits
Prerequisite(s): consent of instructor and department chairperson.
Provides outstanding students an individual opportunity to explore material not covered by regular statistics courses.
Department: Math/Comp Sci/Statistics
STAT 494 Seminar/Workshop. 1-3 Credits
Provides an opportunity for experimental study in an area of statistics.
Department: Math/Comp Sci/Statistics