Math Course Descriptions

Mathematics & Statistics (MATH, STAT)

Please note the following guidelines in regards pre- and co-requisites:

For courses requiring a grade of C or higher in a prerequisite
course, a grade of C- is not sufficient to satisfy the prerequisites
for mathematics and statistics courses.

A co-requisite course must be taken either before or with the
course requiring it.

MATH 098: Developing Numeracy. (3) This course is designed
to prepare students for MATH 099. Students will review adding,
subtracting, multiplying and dividing whole numbers, decimals
and fractions in a problem solving context. Grade option: RA,
RB, RC, RCR/RNC. Prerequisites: None.

MATH 099: Pre-Algebra. (4) A pre-college mathematics course.
Emphasis is placed on basic operations, fractions, decimals,
percents, ratios, and introductory algebra and includes a skills
laboratory. Grade option: RA, RB, RC, RCR/RNC. Prerequisites/placement:
Successful completion of MATH 098 (RA, RB,
RC, RCR) or minimum pre-algebra COMPASS score of 21, or
math ACT score of 5.

MATH 100: Introduction to Algebra. (4) Topics covered include
linear equations, polynomials, factoring, formulas, graphing,
and applications problems, and include a skills laboratory.
Grade option: RA, RB, RC, RCR/RNC. Prerequisites/placement:
Successful completion of MATH 099 (RA, RB, RC, RCR)
or minimum pre-algebra COMPASS score of 36, or math ACT
score of 9.

MATH 106: Problems in Intermediate Algebra. (1) A study
session for MATH 120 students with an emphasis on problem
solving. Suggested co-requisite: MATH 120. Grade option:
CR/NC.

MATH 107: Problems in College Algebra. (1) A study session
for MATH 121 students with an emphasis on problem solving.
Suggested co-requisite: MATH 121. Grade option: CR/NC.

MATH 110: Problems in Elements of Calculus I. (1) Study
session for Math 180 with an emphasis on problem solving. Suggested
co-requisite: MATH 180. Grade option: CR/NC.

MATH 111: Mathematics for Elementary and Middle School
Teachers I. (3) The intuitive and logical background of arithmetic;
properties of sets; algorithms of arithmetic in base ten and
other bases; properties of the integers, mathematical terminology;
elements of number theory; problem solving. Prerequisites/
placement: Successful completion of MATH 100 (C or higher)
or minimum pre-algebra COMPASS score of 57, or math ACT
score of 19.

MATH 112: Mathematics for Elementary and Middle School
Teachers II. (3) The properties of the rational number system;
extension to the irrationals; decimal and fractional representation
of real numbers; intuitive geometry. Prerequisite: Successful
completion of MATH 111 (C or higher).

MATH 116: Topics in Pre-calculus Mathematics. (3) Selected
topics from algebra, geometry and trigonometry. Prerequisite:
Permission of the department. Grade option: CR/NC.

MATH 120: Intermediate Algebra. (3) Preparation for MATH
121, 129 and STAT 145. Covers linear equations and inequalities,
polynomials, factoring, exponents, radicals, fractional expressions
and equations, quadratic equations, perimeters and areas
of simple geometric shapes. Emphasis on problem solving skills.
Acceptable as credit toward graduation in some programs but
not acceptable to satisfy the UNM Core Curriculum or New Mexico
Lower-Division Common Core requirement in Mathematics. Grade
option: A, B, C, D, CR/NC. Prerequisites/placement: Successful
completion of MATH 100 (C or CR) or minimum pre-algebra
COMPASS score of 57, or math ACT score of 19, or math SAT
score of 450

MATH 121: College Algebra. (3) Preparation for MATH 150
and 180. The study of equations, functions and graphs, especially
linear and quadratic functions. Introduction to polynomial,
rational, exponential, and logarithmic functions. Applications
involving simple geometric objects. Emphasizes algebraic problem
solving skills. Prerequisites/placement: Successful completion
of MATH 120 (C, CR, or higher) or minimum COMPASS
algebra score of 55, or college algebra score of 33, or math ACT
score of 22, or math SAT score of 510. UNM Core Curriculum
– 2: Mathematics; New Mexico Lower-Division Common Core – Area
II: Mathematics (NMCCN 1113).

MATH 123: Trigonometry. (3) Definition of the trigonometric
functions, radian and degree measure, graphs, basic trigonometric
identities, inverse trigonometric functions, complex numbers,
polar coordinates and graphs, vectors in 2 dimensions. May be
taken concurrently with MATH 150. Prerequisites/placement:
Successful completion of MATH 121 (C or higher) or minimum
college algebra COMPASS score of 55, or math ACT score of
25, or math SAT score of 570.

MATH 129: A Survey of Mathematics. (3) An introduction to
some of the great ideas of mathematics, including logic, systems
of numbers, sequences and series, geometry and probability.
Emphasizes general problem-solving skills. Prerequisites/placement:
Successful completion of MATH 120 (C, CR, or higher) or
higher math course, or minimum algebra COMPASS score of 55,
or math ACT score of 22, or math SAT score of 510. UNM Core
Curriculum – 21: Mathematics; New Mexico Lower-Division Common
Core – Area II: Mathematics.

STAT 145: An Introduction to Statistics. (3) Techniques for
the visual presentation of numerical data, descriptive statistics,
introduction to probability and basic probability models used in
statistics, introduction to sampling and statistical inference, illustrated
by examples from a variety of fields. Prerequisites/placement:
Successful completion of MATH 120 (C, CR or higher) or
higher math course, or minimum algebra COMPASS score of 55,
or math ACT score of 22, or math SAT score of 510. UNM Core
Curriculum – 2: Mathematics.

MATH 150: Pre-Calculus Mathematics. (3) In-depth study of
polynomial, rational, exponential, and logarithmic functions
and their graphs. Includes the fundamental theorem of algebra,
systems of equations, conic sections, parametric equations, and
applications in geometry. Exploration of the graphing calculator.
My be taken concurrently with MATH 123. Prerequisites/placement:
Successful completion of MATH 121 (C or higher) or
minimum college algebra COMPASS score of 55, or math ACT
score of 25, or math SAT score of 570. UNM Core Curriculum
– 2: Mathematics; New Mexico Lower-Division Common Core – Area
II: Mathematics.

MATH 162: Calculus I. (4) Derivative as rate of change; intuitive,
numerical, and theoretical concepts; applications to graphing,
trigonometric, and exponential functions; integral as a sum,
relation between integral and derivative, applications, mean value
theorem. Prerequisites/placement: Successful completion of
MATH 123 and MATH 150 (C or higher) or minimum college
algebra COMPASS score of 67 and MATH 123 or COMPASS
trigonomtery score of 54, or math ACT score of 28, or math
SAT score of 640. Credit not allowed for both MATH 162 and
MATH 180. UNM Core Curriculum – 2: Mathematics; New Mexico
Lower-Division Common Core – Area II: Mathematics (NMCCN
1614)

MATH 163: Calculus II. (4) Transcendental functions, techniques
of integration, numerical integration, improper integrals, sequences
and series with applications, complex variables and
parmetrization of curves. Prerequisite: Successful completion of
MATH 162 (C or higher). Credit not allowed for both MATH
163 and MATH 181. UNM Core Curriculum – 2: Mathematics.

MATH 180: Elements of Calculus I. (3) Limits of functions
and continuity, intuitive concepts and basic properties; derivative
as rate of change, basic differentiation techniques; application
of differential calculus to graphing and minima-maxima problems;
exponential and logarithmic functions with applications.
Prerequisites/placement: Successful completion of MATH 121
or MATH 150 (C or higher) or minimum college algebra COMPASS
score of 67, or math ACT score of 26, or math SAT score
of 600. Credit not allowed for both MATH 162 and MATH 180.
UNM Core Curriculum – 2: Mathematics; New Mexico Lower-Division
Common Core – Area II: Mathematics (NMCCN 1613).

MATH 181: Elements of Calculus II. (3) Includes the definite
integral, multivariate calculus, simple differential equations, basic
review of trigonometry and its relation to calculus. Prerequisite:
Successful completion of MATH 180 (C or higher). Credit not
allowed for both MATH 163 and MATH 181. UNM Core Curriculum
– 2: Mathematics

MATH 193: Topics in Mathematics. (1-3) Various topics in
mathematics including, but not limited to, tools and techniques
designed to improve attitudes and performance in math class,
and calculator usage

MATH 215: Mathematics for Elementary and Middle School
Teachers III. (3) Topics from probability and statistics, coordinate
geometry and measurement, and algebra; some applications
of mathematics; elements of logic; enrichment topics for the
classroom. Prerequisite: Successful completion of MATH 112
(C or higher). UNM Core Curriculum – 2: Mathematics.

MATH 264: Calculus III. (4) Vector operations, vector representation
of planes and curves, functions of several variables, partial
derivatives, gradient, tangent planes, optimization, multiple integrals
in Cartesian cylindrical and spherical coordinates, vector
fields, line integrals and Greens theorem. Prerequisite: Successful
completion of MATH 163 (C or higher, not C-).