All Current Term Math Courses

MATH 101 - Intermediate Algebra Part I

This course includes equations and inequalities, applications and problem solving with linear equations, linear functions and the graph of a line, percent, perimeters, areas of simple geometric shapes. Prerequisite: 100 or ISM 100. Corequisite: 102.

MATH 102 - Intermediate Algebra Part II

This course includes quadratic equations, properties of exponents and scientific notation, simplifying polynomial expressions, factoring and introduction to functions. Prerequisite: 101.

MATH 103 - Intermediate Algebra Part III

This course includes radical expressions and equations, rational expressions and equations, the exponential and logarithm functions. Pre- or corequisite: 102.

MATH 111 - Math El Sch Tchr I

Course offers an in-depth look at rational numbers, arithmetic operations, and basic geometric concepts. Problem solving is emphasized throughout. Prerequisite: (101 and 102) or 120 or 121 or 123 or 129 or 150 or 162 or 180 or STAT 145 or UNIV 103 or ACT Math =>19 or SAT Math Section =>480 or ACCUPLACER Arithmetic =>120 or ACCUPLACER Elementary Algebra =>41.

MATH 116 - T: Pre-Calculus Mathematics

Selected topics from algebra, geometry and trigonometry. Restriction: permission of department.

MATH 121 - College Algebra

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. Meets New Mexico Lower Division General Education Common Core Curriculum Area II: Mathematics (NMCCN 1113). Prerequisite: (101 and 102 and 103) or (118 and 119) or 120 or ACT Math =>22 or SAT Math Section =>540 or or ACCUPLACER Elementary Algebra =104-120 or ACCUPLACER College-Level Math =37-68.

MATH 123 - Trigonometry

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. Prerequisite: 121 or ACT Math =>25 or SAT Math Section =>590 or ACCUPLACER College-Level Math =69-99.

MATH 129 - Survey of Math

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. Meets New Mexico Lower Division General Education Common Core Curriculum Area II: Mathematics. Prerequisite: (101 and 102) or (118 and 119) or 120 or 121 or 123 or 150 or 162 or 163 or 180 or 181 or 264 or ACT Math =>22 or SAT Math Section =>540 or ACCUPLACER Elementary Algebra =66-103 or ACCUPLACER College-Level Math =37-68.

MATH 150 - Pre-Calculus Math

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. May be taken concurrently with 123. Meets New Mexico Lower Division General Education Common Core Curriculum Area II: Mathematics. Prerequisite: 121 or ACT Math =>25 or SAT Math Section =>590 or ACCUPLACER College-Level Math =69-99.

MATH 153 - Precalculus & Trigonometry

Algebraic expressions, algebraic equations, inequalities, functions, graphing. Exponential, logarithmic, and trigonometric functions. Complex numbers and vectors. Limits. Prerequisite: 121 or ACT Math =>25 or SAT Math Section =>590 or ACCUPLACER College-Level Math =69-99.

MATH 162 - Calculus I

Limits. Continuity. Derivative: definition, rules, geometric and rate-of-change interpretations, applications to graphing, linearization and optimization. Integral: definition, fundamental theorem of calculus, substitution, applications to areas, volumes, work, average. Meets New Mexico Lower Division General Education Common Core Curriculum Area II: Mathematics (NMCCN 1614). Prerequisite: ((123 or ACCUPLACER College-Level Math =100-120) and (150 or ACT Math =28-31 or SAT Math Section =660-729)) or (153 or ACT Math =>32 or SAT Math Section =>730).

MATH 163 - Calculus II

Transcendental functions, techniques of integration, numerical integration, improper integrals, sequences and series, Taylor series with applications, complex variables, differential equations. Prerequisite: 162.

MATH 180 - Elements of Calculus I

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. Meets New Mexico Lower Division General Education Common Core Curriculum Area II: Mathematics (NMCCN 1613). Prerequisite: 121 or 150 or 153 or ACT Math =>26 or SAT Math Section =>620 or ACCUPLACER College-Level Math =69-99.

MATH 181 - Elements of Calculus II

Includes the definite integral, multivariate calculus, simple differential equations, basic review of trigonometry and its relation to calculus. Prerequisite: 180.

MATH 215 - Math Elem-Mid School Teachers

Algebra from the viewpoint of the elementary curriculum with emphasis on proportional and linear relationships. Also included: data analysis and other topics with connections to the elementary curriculum. Problem solving is emphasized throughout. Meets New Mexico Lower-Division General Education Common Core Curriculum Area II: Mathematics. Prerequisite: 111.

MATH 264 - Calculus III

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 Green's theorem. Prerequisite: 163 with a grade of "C" (not "C-") or better.

MATH 306 - College Geometry

An axiomatic approach to fundamentals of geometry, both Euclidean and non-Euclidean. Emphasis on historical development of geometry. Prerequisite: 162 or 215. {Spring}

MATH 311 - Vector Analysis

Vector algebra, lines, planes; vector valued functions, curves, tangent lines, arc length, line integrals; directional derivative and gradient; divergence, curl, Gauss' and Stokes' theorems, geometric interpretations. Prerequisite: 264. {Occasional Summer, Fall, Spring}

MATH 312 - Part Differential Equas- Engr

Solution methods for partial differential equations; science and engineering applications; heat and wave equations, Laplace's equation; separation of variables; Fourier series and transforms; special functions. Prerequisite: 264 and **316. {Occasional Summer, Fall, Spring}

MATH 313 - Complex Variables- Engr

Theory of functions of a complex variable with applications to physical and engineering problems. Although not required, skill in vector analysis will be helpful in taking this course. Prerequisite: 264 and one MATH course 300-level or above. {Fall, Spring}

MATH 314 - Linear Algebra with Apps

Systems of linear equations, Gaussian elimination, matrix algebra, determinants. Vector spaces. Inner product spaces, orthogonality, least squares approximations. Eigenvalues, eigenvectors, diagonalization. Emphasis on concepts, computational methods, and applications. Prerequisite: 163 or 181. Pre- or corequisite: CS 151L or CS 152L or ECE 131 or PHYC 290. {Summer, Fall, Spring}

MATH 316 - Applied Ordinary Diff Equas

Introduction to algorithmic theory of ordinary differential equations. Topics covered: elementary theory of ordinary differential equations, numerical methods, phase-plane analysis, and introduction to Laplace transformations. Third-level calculus is helpful for this class. Prerequisite: 163. Pre- or corequisite: CBE 253 or CS 151L or CS 152L or ECE 131 or PHYC 290. {Summer, Fall, Spring}

MATH 317 - Elementary Combinatorics

MATH 321 - Linear Algebra

Linear transformations, matrices, eigenvalues and eigenvectors, inner product spaces. Prerequisite: 264. {Fall, Spring}

MATH 327 - Discrete Structures

Course will introduce students to the fundamentals of mathematical proof in the context of discrete structures. Topics include logic, sets and relations, functions, integers, induction and recursion, counting, permutations and combinations and algorithms. Students who do not have the prerequisite may seek permission of the instructor. Prerequisite: 162 and 163. {Fall, Spring}

MATH 338 - Math for Secondary Teachers

Topics from secondary mathematics presented from an advanced standpoint and designed to meet the needs of pre- and in-service teachers. Open only to prospective and in-service teachers of mathematics. Prerequisite: 306 and **327. {Spring}

MATH 356 - Symbolic Logic

(Also offered as PHIL 356) This is a first course in logical theory. Its primary goal is to study the notion of logical entailment and related concepts, such as consistency and contingency. Formal systems are developed to analyze these notions rigorously.

MATH 375 - Intro Numerical Comp

(Also offered as CS *375) An introductory course covering such topics as solution of linear and nonlinear equations; interpolation and approximation of functions, including splines; techniques for approximate differentiation and integration; solution of differential equations; familiarization with existing software. Prerequisite: (**314 or **316 or **321) and (CS 151L or CS 152L or ECE 131 or PHYC 290).

MATH 401 - Advanced Calculus I

Rigorous treatment of calculus in one variable. Definition and topology of real numbers, sequences, limits, functions, continuity, differentiation and integration. Students will learn how to read, understand and construct mathematical proofs. Prerequisite: 264 and two MATH courses 300-level or above. {Fall, Spring}

MATH 402 - Advanced Calculus II

Generalization of 401/501 to several variables and metric spaces: sequences, limits, compactness and continuity on metric spaces; interchange of limit operations; series, power series; partial derivatives; fixed point, implicit and inverse function theorems; multiple integrals. Prerequisite: 401. {Spring}

MATH 412 - Nonlinear Dynamics

Qualitative study of linear and nonlinear ordinary differential equations and discrete time maps including stability analysis, bifucations, fractal structures and chaos; applications to biology, chemistry, physics and engineering. Prerequisite: 264 and (**314 or **316 or **321). {Spring}

MATH 421 - Modern Algebra II

Theory of fields, algebraic field extensions and Galois theory for fields of characteristic zero. Prerequisite: 322 or **422. {Spring}

MATH 439 - Topics in Math

{Offered upon demand}

MATH 463 - Intro to Partial Diff Equa

Classification of partial differential equations; properly posed problems; separation of variables, eigenfunctions and Green's functions; brief survey of numerical methods and variational principles. Prerequisite: **312 and **313 and (**314 or **321) and (311 or 402). {Spring}

MATH 499 - Individual Study

Guided study, under the supervision of a faculty member, of selected topics not covered in regular courses.

MATH 501 - Advanced Calculus I

Rigorous treatment of calculus in one variable. Definition and topology of real numbers, sequences, limits, functions, continuity, differentiation and integration. Students will learn how to read, understand and construct mathematical proofs. Prerequisite: 264 and two MATH courses 300-level or above. Restriction: College of Education graduate students. {Fall, Spring}

MATH 502 - Advanced Calculus II

Generalization of 401/501 to several variables and metric spaces: sequences, limits, compactness and continuity on metric spaces; interchange of limit operations; series, power series; partial derivatives; fixed point, implicit and inverse function theorems; multiple integrals. Prerequisite: 501. Restriction: College of Education graduate students. {Spring}

MATH 504 - Intro to Numerical Linear Alg

(Also offered as CS 575) Direct and iterative methods of the solution of linear systems of equations and least squares problems. Error analysis and numerical stability. The eigenvalue problem. Descent methods for function minimization, time permitting. Prerequisite: 464, 514. {Spring}

MATH 511 - Intro To Analysis II

Continuation of 510. Differentiation in Rn. Inverse and implicit function theorems, integration in Rn, differential forms and Stokes theorem. Prerequisite: 510. {Spring}

MATH 513 - Intro to Partial Diff Equa

Classification of partial differential equations; properly posed problems; separation of variables, eigenfunctions and Green's functions; brief survey of numerical methods and variational principles. Prerequisite: **312, **313, **314 or **321, one of 311 or 402. {Spring}

MATH 521 - Abstract Algebra II

Continuation of 520. Module theory, field theory, Galois theory. Prerequisite: **321, 520. {Spring}

MATH 536 - Intro to Differential Manifold

Concept of a manifold, differential structures, vector bundles, tangent and cotangent bundles, embedding, immersions and submersions, transversality, Stokes' theorem. Prerequisite: 511. {Spring}

MATH 538 - Riemannian Geometry II

Continuation of MATH 537 with emphasis on adding more structures. Riemannian submersions, Bochner theorems with relation to topology of manifolds, Riemannian Foliations, Complex and Kaehler geometry, Sasakian and contact geometry. Prerequisite: 537. {Alternate Springs}

MATH 542 - Math for Secondary Teachers

Topics from secondary mathematics presented from an advanced standpoint and designed to meet the needs of pre- and in-service teachers. Open only to prospective and in-service teachers of mathematics. Prerequisite: 306 and 322 and **327. Restriction: College of Education graduate students. {Fall}

MATH 551 - Problems

.

MATH 562 - Complex Variables II

The Mittag-Leffler theorem, series and product expansions, introduction to asymptotics and the properties of the gamma and zeta functions. The Riemann mapping theorem, harmonic functions and Dirichlet's problem. Introduction to elliptic functions. Selected topics. Prerequisite: 561. {Fall}

MATH 563 - Measure Theory

Functions of one and several real variables, measure theory, starting with Lebesque measure and integration. Product measures. Measure on spaces of functions. Prerequisite: 401 or 510. {Fall}

MATH 570 - Singular Perturbations

Singularly perturbed boundary value problems, layer type expansions and matching. Initial value problems and multiscaling methods for ordinary and partial differential equations. Phase plane and qualitative ideas. Applications. Perturbations of Hamiltonian systems. Prerequisite: 462, 463. {Alternate Springs}

MATH 584 - Methods in Applied Math II

Eigenfunction expansions for ordinary and partial differential operators, Euler-Lagrange equations, Hamilton's principle, calculus of variations, brief complex variable theory, special functions, transform and spectral theory, asymptotic expansions. Prerequisite: **312 and **314 and **316 and 401. {Alternate Springs}

MATH 599 - Masters Thesis

Offered on a CR/NC basis only.

MATH 639 - Sem in Geometry and Topology

.

MATH 650 - Reading and Research

.

MATH 679 - Seminar in Applied Math

.

MATH 699 - Dissertation

Offered on a CR/NC basis only.