# Mathematics (M)

M 091. Special Topic. 1-12 Credits.

M 095. Intermediate Algebra. 3 Credits.

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. Formerly MATH 093.

M 105. Contemporary Mathematics. 4 Credits.

This course is desidned to meet the general education mathematics requirement for the liberal arts major. It surveys some of the important ideas and practical applications in matematics and uses a variety of mathematical skills and technology to solve real problems. Topics include problem solving, financial math, mathematical modeling (linear and quadratic), and elementary statistics.

M 109. Col Alg with Sci Applications. 3 Credits.

M 111. Technical Mathematics. 3 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. Formerly MAAS 106 or MATH 106.

M 112. Trigonometry & Complex Numbers. 2 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. Formerly MATH 125.

M 121. College Algebra. 4 Credits.

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 and matrix algebra. The development of problem-solving skills is emphasized. Formerly MATH 112.

M 130. Math for Elementary Teachers I. 3 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 score of 20 or higher or university placement examination. Course Fee: \$5.00. Formerly MATH 120.

M 131. Math for Elementary Teacher II. 3 Credits.

Topics relative to elementary mathematics education including algebra, statistics, and number theory. Focuses primarily on geometric concepts. Prerequisite: M 130. Course Fee: \$5.00 Formerly MATH 121.

M 145. Math for the Liberal Arts. 4 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: M111 or M 095, ACT scores 20 to 22, or university placement examination. Formerly MATH 110.

M 151. Precalculus. 4 Credits.

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. Formerly MATH 130.

M 162. Applied Calculus. 3 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. Formerly MATH 133.

M 171. Calculus I. 5 Credits.

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. Formerly MATH 220.

M 172. Calculus II. 5 Credits.

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. Formerly MATH 221.

M 191. Special Topics. 1-12 Credits.

M 192. Independent Study. 1-12 Credits.

M 273. Multivariable Calculus. 5 Credits.

Introduction to the calculus of variables including partial derivatives, extremes, tangent planes, multiple integrals, and applications and vector analysis. Prerequisite: M 172. Formerly MATH 323.

M 291. Special Topics. 1-12 Credits.

M 292. Independent Study. 1-12 Credits.

M 298. Cooperative Education. 1-12 Credits.

M 301. Math Technology for Teachers. 3 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. Formerly MATH 320.

M 311. Ordinary Diff Equations/System. 3 Credits.

Ordinary differential equations and LaPlace Transforms. Prerequisite: M 172. Formerly MATH 326.

M 326. Number Theory. 3 Credits.

Selected topics from real number theory and congruencies. Prerequisite: M 172 Formerly MATH 335.

M 327. Methods for Teaching Sec Math. 3 Credits.

Theories and techniques of teaching secondary mathematics. Investigation of methodology of content presentation and practice teaching techniques. Major developments in mathematics curriculum. Formerly MATH 317.

M 329. Modern Geometry. 3 Credits.

Study of Euclidean Geometry, selected topics from non-Euclidean Geometry. Prerequisite: M 172. Formerly MATH 334.

M 333. Linear Algebra. 3 Credits.

Study of Vector spaces and linear transformations which act on vector spaces, focusing on linear transformations and their matrix representations. Prerequisite: M 172. Formerly MATH 310.

M 351. Algebraic Structures I. 3 Credits.

Introduction to mathematical groups, rings, fields, and polynomial rings. Prerequisite: M 172. Formerly MATH 330.

M 391. Special Topics. 1-12 Credits.

M 392. Independent Study. 1-12 Credits.

M 440. Numerical Analysis. 3 Credits.

An introduction to numerical analysis which including error analysis, real roots of equations, numerical integration, and numerical solutions of ordinary differential equations. Prerequisites: M 311 and one higher-level computer programming language course. Formerly MATH 410.

M 491. Special Topics. 1-12 Credits.

M 492. Independent Study. 1-12 Credits.