This course is for students not ready for college level mathematics and covers the pre-algebra through intermediate algebra mathematics skills needed for college level mathematics courses. The course is delivered in a lab setting allowing students to progress at their own level with the aid of an on site instructor. The class is organized into three distinct levels of Arithmetic, Beginning Algebra, and Intermediate Algebra with the student required to complete each segment in sequence. Arithmetic topics include concepts and topics of the real number system: including numeric operations, decimals, exponents, radicals, integers, ratios, proportions, fractions, factors, prime numbers, and numeric story problem applications. Beginning Algebra topics include: power numbers, radicals, logarithms, rational expressions, linear properties, graphs, ordered pairs, relations, polynomial factoring, functions, solutions to linear and systems of two equations. Intermediate Algebra topics include determinants, complex, distance and slope, relating data to equation type, application formulas, and application story problems.

This course may be repeated as necessary.
STUDENTS PLEASE NOTE: Students who successfully complete this course will not receive credits toward graduation; the grade earned in the class is not included in the student’s grade point average. Three (3) credits are included in determining fees and financial aid eligibility, however. For a more complete description of a class with a 0XX number, students should refer to the "Academic Information" section of this catalog under "Course Numbering System".

M 111 Technical Mathematics (Old Course: MAAS 106)

3 semester credits

This course is intended for AAS-degree students enrolled in vocational programs who are not planning to transfer to other degree programs or institutions. This course is a basic mathematics course for developing mathematics skills through introductory algebra as they relate to technical programs. This course includes measurement systems, use of measuring tools, as well as development of area and volume concepts with respect to technical applications.

STUDENTS PLEASE NOTE: This course may be used to satisfy degree and graduation requirements in Associate of Applied Science (A.A.S.) degrees. It can also be used as ‘free’ or ‘elective’ credits in a Bachelor of Applied Science (B.A.S.) degree; but it cannot be used to satisfy any other requirements for a B.A.S. degree. It cannot be used to satisfy any degree or graduation requirements for an associate of science, an associate of arts, a Bachelor of Arts or a Bachelor of Science degree.

M 112 Trigonometry and Complex Numbers (Old Course: MATH 125)

2 semester credits

This course presents analytic trigonometry fundamental concepts including: trigonometric and circular functions, solutions of triangles with law of sines/cosines, solutions of trigonometric equations, identities, graphs, inverse functions, and vector principles.

Prerequisite: ACT score 25 - 26 or M 121
Montana University System Core Course

This course surveys a wide variety of topics including: properties and theorems of the real and complex number systems, the function concept including inverse functions, graphing techniques, linear, quadratic, polynomial, exponential, and logarithmic functions, solving systems of equations in two or more variables using matrices, determinants, and matrix algebra. The development of problem solving skills is emphasized.

Prerequisite: M 095
Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.
Montana University System Core Course

M 130 Mathematics for Elementary Teachers I (Old Course: MATH 120)

3 semester credits

The topics included in this course are directly related to elementary mathematics education. The specific number topics included in this course include: numeral system, problem solving, set theory foundation of the real number system, arithmetic algorithms, statistics, probability, and algebra notations. The specific geometry topics include: plane and solid shape classification and properties, congruence, similarity, symmetry, trigonometry, measurement, and transformations.

Prerequisite: M 095, or ACT scores 20 or higher, or university placement examination
Course Fee: $5.00
Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.
Montana University System Core Course

M 131 Mathematics for Elementary Teachers II (Old Course: MATH 121)

3 semester credits

Topics relevant to elementary mathematics education, including algebra, statistics, and number theory. Focuses primarily on geometric concepts

Prerequisite: M 130
Course Fee: $5.00
Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.
Montana University System Core Course

M 145 Math for the Liberal Arts (Old Course: MATH 110)

4 semester credits

This course surveys a wide variety of topics including sets and logic, mathematical patterns, number systems, number theory, algebra, geometry, probability and statistics. The development of problem solving skills is emphasized.

Prerequisite: M 111 or M 095, or ACT scores 20 - 22, or university placement examination
Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.
Montana University System Core Course

The topics included in this course are: trigonometric and circular functions, solutions of triangles with the law of sines/cosines, trigonometric equations, identities, graphs, inverse functions, vectors; mathematical induction, complex numbers, sequences and series, linear equations, conics, polar coordinates, and parametric equations.

Prerequisite: ACT scores 25 - 26 or university placement examination
Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.
Montana University System Core Course

3 semester credits The topics included in this course are: differentiation and integration with positive reinforcement of concepts in algebra, trigonometry, and analytic geometry

Prerequisite: ACT scores 25 - 26 or M 121 or M 151 or university placement examination
Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.
Montana University System Core Course

Developing the concepts of calculus and analytic geometry including rates of change, limits, derivatives and anti-derivatives, concepts of integration, and the application of integration.

Prerequisite: M 151 or both M 121 and M 112
Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.
Montana University System Core Course

Further development of the concepts of integration and applications, work with infinite series, plane curves, and parametric vectors and vector valued functions, and partial differentiation.

Prerequisite: M 171
Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.
Montana University System Core Course

M 273 Multivariable Calculus (Old Course: MATH 323)

3 semester credits

Introduction to the calculus of several variables including partial derivatives, extremes, tangent planes, multiple integrals, and applications, and vector analysis.

Prerequisite: M 172
Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.
Montana University System Core Course

M 298 Cooperative Education (Old Course: MATH 279)

Variable: 1 through 12 semester credits

A planned and supervised work-learning experience in industry, business, government, or community service agencies related to the University program of study.

Prerequisites: Two semesters of attendance at Montana State University-Northern, approval of advisor, Dean of the College of Education, Arts and Sciences, Nursing, and cooperative education coordinator
Pass/Fail only
This course does not meet the MSU-Northern General Education Core Mathematics (CAT II) requirement..

M 301 Mathematics Technology for Teachers (Old Course: MATH 320)

3 semester credits

Use of computers in the classroom focusing on software systems in current use in University and public school situations. The software systems studied are used primarily in science and mathematics but are also adapted for use in developing communication skills.

Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.

M 327 Methods of Teaching Secondary Math (Old Course: MATH 317)

3 semester credits

Theories and techniques of teaching secondary mathematics. Investigation of methodology of content presentation and practice teaching techniques. Major developments in mathematics curriculum.

Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.

Introduction to numerical analysis including error analysis, real roots of equations, numerical integration, and numerical solutions of ordinary differential equations.

Prerequisites: M 311 and one higherlevel computer programming language course
Meets MSU-Northern General Education Core Mathematics (CAT II) requirement.
Montana University System Core Course