## Mathematics Program

##### Program Manager: Marlene Chavez-Toivanen, (505) 287-6652

### Catalog Course List

*The first digit in the course number indicates whether the course is a freshman ( 1xx) or sophomore (2xx) level course. The next two digits indicate the course sequence. The 3 cr. indicates that the course is a 3-credit course. The (2+4P) means that the class meets for two hours per week for recitation or lecture and also requires 4 hours per week of “practice” (laboratory, field work, or other activities). The suffix N denotes that the course credits will not apply to baccalaureate and specified associate degrees. The suffix G denotes that the course meets General Education common core requirements for transfer to other New Mexico institutions of higher education, as established by the New Mexico Higher Education Department. Note that some courses without a G also meet transfer requirements.*

**Community College Developmental Mathematics – CCDM**

**CCDM 100N. Mathematics Preparation for College Success 1-4 cr.**

Mathematics skills course designed for college students with math skills insufficient for success in CCDM 103N. May be repeated for a maximum of 4 credits. RR applicable, for I/P individually paced sections only.

**CCDM 103N. Pre-Algebra 4 cr. (3+2P)**

Fundamental mathematics operations and arithmetic computations. Introduction to algebra and applied geometry. Provides laboratory and individualized instruction. Prerequisite: C or better in CCDM 100N or adequate placement in the College Placement Test. RR applicable for individually paced section only.

**CCDM 112N. Developmental Algebra I 4 cr. (3+2P)**

Fundamental algebra operations, variable expressions, solving linear equations, applications of linear equations, polynomials and factoring. Provides laboratory instruction. Completion of CCDM 112n and CCDM 113n is equivalent to completion of CCDM 114n. Graded: Traditional with RR. Prerequisite(s): grade of C or better in CCDM 103N or adequate placement in the College Placement Test.

**CCDM 113N. Developmental Algebra II 4 cr. (3+2P)**

Fundamental algebra operations, polynomials, factoring, solving quadratics by factoring, rational expressions, exponents and radical expressions (continuation of CCDM 112N). Provides laboratory instruction. Completion of CCDM 112N and CCDM 113N is equivalent to completion of CCDM 114N. Graded: Traditional with RR. Prerequisite(s): Grade of C or better in CCDM 112n or consent of instructor.

**CCDM 114N. Algebra Skills 4 cr. (3+2P)**

Fundamental algebra operations: algebraic expressions, solving linear equations, factoring, radicals, exponents. Provides laboratory and individualized instruction. Completion of CCDM 114n meets basic skills requirement. Graded: Traditional with RR. Prerequisite(s): C or better in CCDM 103N or adequate placement in the College Placement Test.

**MATH – Mathematics**

The basic skills requirement in mathematics may be met by earning a grade of C or higher in both MATH 111 and MATH 112, or in any lower-division mathematics course numbered 120 or above. For other options, see Basic Academic Skills in the General Information chapter. A student may not receive credit for a lower-division mathematics course if it serves as a prerequisite to a lower-division math course that the student had previously passed with a grade of C or better.

NOTE: Students without an adequate placement score to enroll in MATH 111, MATH 120 or MATH 210G can gain admission to the course by earning a C or better in CCDM 114N at an NMSU Community College. Students wishing to enroll in MATH 121, 142G, 180, 191, 230, 235, 279, 280, or STAT 251 must satisfy one of the following: (a) have passed the stated prerequisite course with a C or better, or (b) have earned an adequate score on the Mathematics Placement Examination, the results of which will be made available to the student’s advisor.

**MATH 107. Topics in Mathematics1-3 cr.**

Topics to be announced in the Schedule of Classes. Maximum of 3 credits per semester. Total credit not to exceed 6 credits. Prerequisite: consent of instructor. Community Colleges only.

**MATH 111. Fundamentals of Elementary Mathematics I 3 cr. (2+2P)**

Numbers and the four operations of arithmetic. Understanding and comparing multiple representations of numbers and operations, in particular how these representations build from whole numbers to integers to fractions and decimals. Applying properties of numbers and operations in contextual situations, including measurement, and making reasonable estimates. Reasoning, communicating, and problem solving with numbers and operations. Applications to ratio, and connections with algebra. Taught primarily and investigations. Prerequisite(s): ENGL 111G and grade of C or better in MATH 120.

**MATH 112G. Fundamentals of Elementary Mathematics II 3 cr. (2+2P)**

Geometry and measurement. Multiple approaches to solving problems and understanding concepts in geometry. Analyzing and constructing two- and three-dimensional shapes. Measurable attributes, including angle, length, area, and volume. Understanding and applying units and unit conversions. Transformations, congruence, and symmetry. Scale factor and similarity. Coordinate geometry and connections with algebra. Reasoning and communicating about geometric concepts. Taught primarily through student activities and investigations. Prerequisite(s): C or better in MATH 111.

**MATH 120. Intermediate Algebra 3 cr.**

Linear and algebraic functions as they arrive in real world problems. Exponential and logarithmic functions. Equations and inequalities and their solutions considered symbolically, graphically, and numerically. Prerequisite: C or better in CCDM 114n or adequate score on the placement test.

**MATH 121G. College Algebra 3 cr.**

Fundamental concepts of functions, including algebraic and graphical properties. Fitting functions to data. Finding zeroes and extreme values. Solving systems of equations. Prerequisite: C or better in Math 120 or adequate score on placement test.

**MATH 142G. Calculus for the Biological and Management Sciences I 3 cr. (2+2P)**

Review of functions. Derivatives, exponential and logarithmic functions, antiderivatives and indefinite integrals, basic ordinary differential equations and growth models, with an emphasis on applications. Includes a significant writing component. Prerequisite(s): C or better in MATH 121G.

**MATH 190G. Trigonometry and Precalculus 4 cr. (3+2P)**

Elementary functions used in the sciences with emphasis on trigonometric functions and their inverses. Polar coordinates. Complex numbers and Euler’s formula. Analytic geometry and vectors. Prerequisite: Adequate score on placement exam or C or better in MATH 121G.

**MATH 191G. Calculus and Analytic Geometry I 4 cr.**

Algebraic, logarithmic, exponential, and trigonometric functions, theory and computation of derivatives, approximation, graphing, and modeling. May include an introduction to integration. Prerequisites: MATH.190G.

**MATH 192G. Calculus and Analytic Geometry II 4 cr.**

Riemann sums, the definite integral, anti-derivatives, fundamental theorems, use of integral tables, numerical integration, modeling, improper integrals, differential equations, series, Taylor polynomials. Prerequisite: MATH 191.

**MATH 210G. Mathematics Appreciation 3 cr.**

Mathematics and its role in the development and maintenance of civilization. Prerequisites: High school algebra, and an adequate score on the placement exam.

**MATH 230. Matrices and Linear Programming 3 cr.**

Linear algebra, linear programming and network models, with applications to the behavioral sciences. Prerequisite: C or better in MATH 121G.

**MATH 279. Introduction to Finite Mathematics 3 cr.**

Logic; sets, relations, and functions; introduction to mathematical proofs. Applications to computer science. Prerequisite: grade of C or better in MATH 190G.

**MATH 280. Introduction to Linear Algebra 3 cr.**

Systems of equations, matrices, vector spaces and linear transformations. Prerequisite: grade of C or higher in MATH 190G.

**MATH 291. Calculus & Analytic Geometry III 3 cr.**

Vector algebra, directional derivatives, approximation, max-min problems, multiple integrals, applications, cylindrical and spherical coordinates, change of variables. Prerequisite: grade of C or higher in MATH 192.

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