# MSU Billings Course Descriptions

## M - Mathematics

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*** ****M 105 ****Contemporary Mathematics**

**[formerly MATH 141 Contemporary Mathematics]**

**3 cr. Prerequisite: Appropriate placement score.**** (F, Sp)** 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.

**M 108 Business Mathematics**

**[formerly MATH 104 Business Mathematics]**

**3cr. (3 lec/wk) Prerequisite: Passing ****M 065 or appropriate placement test scores. ****(F, Sp)**

Examines the mathematics of business ownership and exposes the mathematical needs of business decisions. Techniques include marketing, payroll, cash flow, simple and compound interest, credit, promissory notes, insurance financial statements, ratio analysis, depreciation, annuities, and inventory valuation.

**M 110 Mathematical Computing**

**[formerly MATH 110 Mathematical Computing]**

**1 cr. ****(F, Sp)**** **Introduces the use of computer algebra systems to solve mathematical problems.

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**M 111 Technical Mathematics**

**[formerly MATH 103 Essential Mathematics for the Trades]**

**3 cr. (3 lec/wk) Prerequisite: M 065 or appropriate placement scores. ****(F, Sp, Su)**

Applies math to problems drawn from diverse occupational fields. In addition to a review of operations on rational numbers, the topics of measurement, percent, proportion and variation, applications of algebra to the extent of solving quadratic equations, and applications of plane and solid figure geometry are developed for use in a trade or industrial setting. Course may serve as a prerequisite to M 114, but does not satisfy the prerequisite of any other math courses. Credits apply to graduation but do not fulfill General Education requirements.

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*** M 114 Extended Technical Mathematics**

**[formerly MATH 122 College Mathematics for Technology]**

**3 cr. (3 lec/wk) Prerequisite: ****M 111 or M 095 or appropriate placement score. ****(F, Sp, Su)**

Applies math to problems drawn from diverse occupational fields. Provides college level study of measurement, algebra, geometry, and trigonometry as needed to solve mathematical applications in a trade or technical work environment.

**M 120 Mathematics with Health Care Applications**

**3 cr. (3 lec/wk) (F, Sp) Offered ONLY Online.**

Provides students with a solid mathematical foundation necessary to succeed in a health care profession. This course will review algebra, systems of measurement, medication and syringe calculations, ratio and proportions, calculations for intravenous therapy, basic statistics, ionic solutions, and pH calculations.

** **

*** ****M 121 ****College Algebra**

**[formerly MATH 106 College Algebra]**

**3 cr. Prerequisite: M 095 or appropriate placement score.**** (F, Sp, Su)**** **Covers the concepts of functions, complex numbers, and solving basic system of equations.
Investigates linear, quadratic, polynomial, exponential, and logarithmic functions.

** **

*** M 122 College Trigonometry**

**3 cr. Prerequisite: M 121 or appropriate placement scores. (F, Sp)** Covers trigonometric functions and their inverses, polar coordinates, graphing,
vectors, and trigonometric identities. Includes sequences and series.

** **

*** M 130 Mathematics for Elementary Teachers I**

**[formerly MATH 201 ****Fundamentals of Mathematics I]**

**3 cr. Prerequisite: M 088 or equivalent.**** (F, Sp)** 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.

** **

**M 131 Mathematics for Elementary Teachers II**

**[formerly MATH 202 ****Fundamentals of Mathematics II]**

**3 cr. Prerequisite: ****M 130**** or consent of instructor.**** (F, Sp)** 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.

** **

*** M 140 College Math for Healthcare**

**3 cr. (3 lec/wk) Prerequisite: M 088 or appropriate placement score. (F, Sp)**

Provides students with a solid mathematical foundation necessary to succeed in a health care profession. This course will review algebra, systems of measurement, ratio and proportions, basic probability and statistics concepts, and lonic solutions and pH calculations. This course will apply mathematical reasoning and problem solving as it applies to the healthcare field and is a suitable prerequisite for STAT 216.

** **

*** ****M 143 ****Finite Mathematics**

**[formerly MATH 121 Finite Mathematics]**

**4 cr. Prerequisite: M 095 or equivalent.**** (F, Sp)**** **Studies applications of systems of linear equations to problems of optimization, elementary
functions, logic, and mathematics of finance. Introduces differentiation.

*** M 161 Survey of Calculus**

**3 cr. (3 lec/wk) Prerequisite: M 121 or appropriate placement test score. (F, Su)** Covers basic calculus concepts including limits, differentiation, and integration
with applications to business, science, and social science problems.

** **

*** ****M 171 ****Calculus I**

**[formerly MATH 112 Calculus I]**

**4 cr. Prerequisite: ****M 122****.**** (F, Sp)**** **Covers differentiation and presents applications to the approximation of functions,
root finding, and 1-variable optimization. Introduces integration.

**M 172 Calculus II**

**[formerly MATH 113 Calculus II]**

**4 cr. Prerequisite: ****M 171****. ****(F, Sp)**** **Includes techniques and applications of integration, analytic geometry and the theory
of sequences and series. This course is a continuation of M 171.

** **

**M 242 Methods of Proof**

**3 cr. Prerequisite: M 172. (Sp)** 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.

** **

**M 273 Multivariable Calculus**

**[formerly MATH 312 Multivariable Calculus]**

**4 cr. Prerequisite: ****M 172 and either M 110 or EGEN 105.**** (F)** 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.

** **

**M 274 Introduction to Differential Equations**

**[formerly MATH 302 Intermediate Differential Equations]**

**4 cr. Prerequisite: ****M 172 and either M 110 or EGEN 105.**** (Sp)**** **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.

** **

**M 294 Seminar/Workshop**

**[formerly MATH 292 Seminar]**

**V1-3 cr. **Provides students an opportunity to investigate intensively topics pertinent to the
field of Mathematics.

** **

**M 294 Seminar/Workshop**

**[formerly MATH 293 Workshop]**

**V1-8 cr. **Provides an opportunity for experimental study in an area of Mathematics.

**M 298 ****Internship/Cooperative Education**

**[formerly MATH 296 Cooperative Education/Internship]**

**V1-9 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).

** **

**M 302 Trends in Elementary Mathematics**

**[formerly MATH 320 Trends in Elementary Mathematics]**

**3 cr. Prerequisites: ****M 131**** 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.

** **

**M 305 Discrete Structures I**

**[formerly MATH/COMP 305 Discrete Structures I]**

**4 cr. Prerequisite: ****M 172 and CSCI 111A.**** (F)**** **Covers logic, recursion, induction and basic data models. Surveys combinatorics and
the theory of algorithms with attention to design analysis and verification techniques.

** **

**M 306 Discrete Structures II**

**[formerly MATH/COMP 306 Discrete Structures II]**

**4 cr. Prerequisites: M 305.**** (Sp)**** **Discusses algorithm design in the context of graph theory. Introduces automata and
formal languages. Covers logic, computability, artificial intelligence and robotics.

** **

**M 329 Modern Geometry**

**[formerly MATH 311 Geometry]**

**3 cr. Prerequisites: M 242 and ****M 333.**** (Sp)**** **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.

** **

**M 330 History of Mathematics**

**[formerly MATH 331 History of Mathematics]**

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

** **

**M 333 Linear Algebra**

**[formerly MATH 301 Applied Linear Algebra]**

**4 cr. Prerequisite: ****M 172.**** (Sp)**** **Covers linear systems and matrices, determinants, vector spaces, linear transformations,
eigenvalues and eigenvectors, and orthogonality. Exact topics may vary year to year.

** **

*MATH 341 Probability – See STAT 341*

** **

**M 371 Numerical Computing**

**[formerly MATH/COMP 371 Numerical Computing]**

**4 cr. Prerequisite: ****M 333.**** (Sp)**** **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.

** **

**M 397 Education Methods: Peer Tutoring**

**[formerly 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.

** **

**M 431 Abstract Algebra I**

**[formerly MATH 421 Algebraic Structures]**

**3 cr. Prerequisite: M 242 and ****M 333.**** (F)**** **Covers groups, rings, fields and vector spaces. Exact topics may vary from year to
year.

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**M 471 Mathematical Analysis**

**[formerly MATH 412 Mathematical Analysis I]**

**3 cr. Prerequisite: M 242 and ****M 273. **Presents the basic theorems of one and multivariable analysis as a basis for higher
analysis and its applications.

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**M 472 Introduction to Complex Analysis**

**[formerly MATH 413 Mathematical Analysis II]**

**3 cr. Prerequisite: M 273. **Covers topics in multivariable calculus and/or complex variables.

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**M 492 Independent Study**

**[formerly MATH 491 Independent Study]**

**V1-3 cr. Prerequisites: consent of instructor and department chairperson. **Provides outstanding students an individual opportunity to explore material not covered
by regular mathematics courses.

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**M 494 Seminar/Workshop**

**[formerly MATH 492 Seminar]**

**V1-3 cr. Prerequisite: mathematics major or minor, or consent of instructor. **Investigates intensively topics pertinent to the area of Mathematics.

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**M 494 Seminar/Workshop**

**[formerly MATH 493 Workshop]**

**V1-3 cr. **Provides an opportunity for experimental study in an area of Mathematics.

** **

**M 498 Internship/Cooperative Education**

**[formerly MATH 496 Cooperative Education/Internship]**

**V1-9 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).

**M 499 Capstone**

**[formerly MATH 498 Capstone Seminar]**

**3 cr. Prerequisite: Senior Standing in Math.**** (F)** 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.