Mathematics Undergraduate Courses

Some courses may not be offered every year. Check with the college or department office for current information about when specific courses are offered.  

 

For course syllabi, see the departmental website.

 

MAT  101X BEG ALGEBRA/REV-CCC      (3)

This course is developmental in nature and does not count toward student's GPA or graduation requirements.

 

MAT  102X INT ALGEBRA/REV-CCC      (4)

This course is developmental in nature and does not count toward a student's GPA or graduation requirements.  Prerequisite: MAT 101X with grade greater than or equal to C or Math Placement 30 or higher

 

MAT  108 ALGEBRA FOR PRECALCULUS      (3)

Algebraic operations; simplifying expressions; functions; graphs;  linear, absolute value, quadratic, cubic, square root functions; solving equations and inequalities; systems of equations.  A student with credit in MAT 110 or either of the previous courses, MAT 112 or MAT 135, may not earn credit in MAT 108.  All semesters.  Prerequisite:  MAT 102X with a grade greater than or equal to C or Math Placement 43 or higher

 

MAT  110 COLLEGE ALGEBRA      (3)

Algebraic operations; simplifying expressions; functions; graphs; linear, absolute value, power, polynomial, rational, exponential, and logarithmic functions; equations and inequalities; systems of equations; sequences and series.  Please note that if you have previously earned credit in either MAT 112 or 135, you may not earn credit in MAT 110.  Letter grade only.  Prerequisite: MAT 102X with a grade greater than or equal to C or Math Placement 46 or International Exchange Student Group FNRQ

 

MAT  114 QUANTITATIVE REASONING      (3)

Contemporary quantitative methods, especially descriptive statistics, elementary probability, examples of statistical inference, linear and exponential models of growth and decay, and applicable discrete models.  Fulfills liberal studies foundation requirement.  Letter grade only.  Course fee required.  Prerequisite: MAT 102X with a grade greater than or equal to C or Math Placement 43 or higher or International Exchange Student Group FNRQ

 

MAT  119 FINITE MATHEMATICS      (3)

Concepts, techniques and applications of systems of linear equations, geometric linear programming, mathematics of finance, combinatorics and probability. Prerequisite:  MAT 114 with a grade greater than or equal to C or Math Placement 55 or higher or International Exchange Student Group

 

MAT  123 FIRST YEAR SEMINAR      (1)

This course introduces first year majors to the academic content, degree programs, faculty, resources and opportunities available in the Department of Mathematics and Statistics.  

 

MAT  125 PRECALCULUS MATHEMATICS      (4)

Concept of function; graphs; absolute value, linear, polynomial, rational, exponential, logarithmic, and trigonometric functions,  systems of equations, analytic geometry.  Please note that if you have credit in the previous courses MAT 112, MAT 120 or MAT 135, you may not receive credit for MAT 125.  Prerequisite:  (MAT 108 or MAT 110 with a grade greater than or equal to C) or Math Placement 55 or higher or International Exchange Student Group FNRQ

 

MAT  125H PRECALCULUS MATHEMATICS - HONORS      (4)

Concept of function; graphs; absolute value, linear, polynomial, rational, exponential, logarithmic, and trigonometric functions,  systems of equations, analytic geometry.  Please note that if you have credit in the previous courses MAT 112, MAT 120 or MAT 135, you may not receive credit for MAT 125.  Prerequisite: MAT 108 or MAT 110 with a grade greater than or equal to C or Math Placement 55 or higher and Honors Student Group FNRQ

 

MAT  131 TOPICS IN CALCULUS      (3-4)

Introductory topics in differential and integral calculus with applications. Prerequisite: MAT 108 or MAT 110 or MAT 119 with grade greater than or equal to C or Math Placement 65 or higher or International Exchange Student Group SAS

 

MAT  136 CALCULUS I      (4)

Calculus of one variable; basic concepts, interpretations, techniques, and applications of differentiation and integration.  Letter grade only.  Course fee required.  Prerequisite: MAT 125 or MAT 125H with a grade greater than or equal to C or Math Placement 70 or higher or International Exchange Student Group SAS

 

MAT  136H CALCULUS I - HONORS      (4)

Calculus of one variable; basic concepts, interpretations, techniques, and applications of differentiation and integration.  Letter grade only.  Course fee required.  Prerequisite: MAT 125 or MAT 125H with a grade greater than or equal to C or Math Placement 70 or higher and Honors Student Group FNRQ

 

MAT  137 CALCULUS II      (4)

Concepts, techniques, and applications of integration, differential equations, Taylor polynomials, infinite series.  Letter grade only.  Course fee required.  Prerequisite: MAT 136 or MAT 136H with a grade greater than or equal to C

 

MAT  150 PRINCIPLES OF MATHEMATICS I      (3)

Mathematical principles and processes underlying mathematics instruction in grades K-8; systems of whole numbers, integers, rational numbers, and irrationals.  Letter grade only.  Course fee required.  Prerequisite: MAT 102X with a grade greater than or equal to C or Math Placement 43 or higher or International Exchange Student Group

 

MAT  155 PRINCIPLES OF MATHEMATICS II      (3)

Mathematical principles and processes underlying mathematics instruction in grades K-8; geometry and measurement; statistics and probability.  Letter grade only.  Course fee required.  Prerequisite: MAT 150 with a grade greater than or equal to C FNRQ

 

MAT  199 SPECIAL TOPICS       (1-5)

Foundation of intellectual inquiry.  In-depth study of a substantive problem.  Letter grade only.  May be repeated for up to 6 hours of credit.  

 

MAT  226 DISCRETE MATHEMATICS      (3)

Elementary discrete mathematics including topics from graph theory and combinatorics with emphasis on problem solving.  Prerequisite: MAT 125 or MAT 125H with a grade greater than or equal to C or Math Placement 70 or higher or International Exchange Student Group SAS

 

MAT  238 CALCULUS III      (4)

Vector functions and multidimensional calculus; partial derivatives, gradients, optimization, multiple integrals, parametric curves and surfaces, vector calculus, line integrals, flux intergral, and vector fields.  Prerequisite: MAT 137 with a grade greater than or equal to C

 

MAT  239 DIFFERENTIAL EQUATIONS      (3)

Solutions of first-order differential equations, nth-order linear equations, systems of linear differential equations, series solutions.  Prerequisite: MAT 238 with a grade greater than or equal to C or Corequisite:  MAT 238

 

MAT  299 SPECIAL TOPICS      (1-3)

In-depth study of an aspect, concept, or problem.  Letter grade only.  May be repeated for up to 6 hours of credit.  

 

MAT  301 INTRODUCTION TO TEACHING SECONDARY SCHOOL MATHEMATICS      (3)

Introduces general theories, concepts, and procedures associated with teaching mathematics in grades seven through twelve. This course contains an assessment that must be passed to be eligible to register for student teaching.  Instructor's consent required.  

 

MAT  302 MATHEMATICS EDUCATION PRACTICUM      (1)

Field experience in a middle or high school mathematics department, with exposure to and practical experience in the tasks of a mathematics or statistics teacher.  Instructor's consent required.  Pass-fail only.  Course fee required.  Prerequisite: MAT 301 with a grade greater than or equal to C

 

MAT  316 INTRODUCTION TO LINEAR ALGEBRA      (3)

Systems of equations, matrices, vector spaces, linear transformations, eigenvalues.  Prerequisite: MAT 137 with a grade greater than or equal to C

 

MAT  318 ELEMENTARY NUMBER THEORY      (3)

Mathematical induction, Euclidean algorithm, linear and quadratic congruences, diophantine equations, primes, continued fractions.  Prerequisite: MAT 238 or MAT 320W with a grade greater than or equal to C

 

MAT  320W FOUNDATIONS OF MATHEMATICS      (3)

Symbolic logic, set theory, functions, and number systems. Focuses on techniques of proof and mathematical writing. This course fulfills NAU's junior-level writing requirement. This course contains an assessment that must be passed to be eligible to register for student teaching.  Prerequisite: MAT 137 with a grade greater than or equal to C JWRT

 

MAT  331 LAPLACE TRANSFORMS      (1)

Laplace transforms, inverse transforms, and applications.  Prerequisite: MAT 137 with a grade greater than or equal to C

 

MAT  335 COMPLEX VARIABLES      (3)

Fundamental theory and applications of complex variables and analytic functions with emphasis on integration, power series, and the calculus of residues.  Prerequisite: MAT 238 with a grade greater than or equal to C

 

MAT  362 INTRODUCTION TO NUMERICAL ANALYSIS      (3)

Algorithms, computational errors, single variable equations, curve fitting, interpolation, numerical differentiation and integration, numerical solutions of differential equations, and linear systems of equations.  Includes computer lab.  Letter grade only.  Course fee required.  Prerequisite: MAT 137 with a grade greater than or equal to C and (CIS 220 or CS 122 or CS 122H or CS 123 or CS 126 or EE 222)

 

MAT  365 MODERN GEOMETRY      (3)

Major theorems of Euclidean geometry; introduction to non-Euclidean geometry.  Prerequisite: MAT 137 with a grade greater than or equal to C

 

MAT  368 MATHEMATICAL MODELING      (3)

Concept of a mathematical model; construction and application of deterministic and probabilistic models.  Prerequisite: MAT 239 with a grade greater than or equal to C

 

MAT  389 COOPERATIVE EDUCATION      (1-12)

Individualized preplanned cooperative employment experience related to your field of study or career objectives. Pass-fail only.  Fee required.  No repeat limit.

 

MAT  399 SPECIAL TOPICS      (1-3)

In-depth study of an aspect, concept, or problem within a program of study. Letter grade only.  May be repeated for up to 6 hours of credit.  

 

MAT  401 METHODS OF TEACHING SECONDARY SCHOOL MATHEMATICS I      (3)

Topics and issues related to teaching and learning of algebra and geometry in grades seven through twelve. This course contains an assessment that must be passed to be eligible to register for student teaching. Prerequisite: MAT 301 with a grade greater than or equal to C

 

MAT  402 METHODS OF TEACHING SECONDARY SCHOOL MATHEMATICS II       (3)

Topics and issues related to teaching and learning of precalculus, calculus, probability, and statistics in grades seven through twelve. This course contains an assessment that must be passed to be eligible to register for student teaching. Prerequisite: MAT 301 with a grade greater than or equal to C

 

MAT  405 SECONDARY TEACHING METHODS I      (3)

Issues and methods associated with teaching mathematics in grades seven through twelve with an emphasis on geometry.  This course is a requisite to the Mathematics emphasis in the Master of Education - Secondary Education (certification) degree.  Credits earned in this course are not applicable to any undergraduate degree program.  Letter grade only.  

 

MAT  406 SECONDARY TEACHING METHODS II      (3)

Issues and methods associated with teaching mathematics in grades seven through twelve with an emphasis on algebra, probability, and statistics.  This course is a requisite to the Mathematics emphasis in the Master of Education - Secondary Education (certification) degree.  Credits earned in this course are not applicable to any undergraduate degree program.  Letter grade only.  

 

MAT  408 FIELDWORK EXPERIENCE      (1-12)

Individualized supervised field experience in an appropriate agency or organization. Pass-fail only.  Department consent required.  

 

MAT  411C INTRODUCTION TO ABSTRACT ALGEBRA      (3)

Basic algebraic structures.  Topics selected from groups, rings, and fields.  Letter grade only.  Prerequisite: MAT 320W with a grade greater than or equal to C CAP

 

MAT  412C INTRODUCTION TO ABSTRACT ALGEBRA II       (3)

Topics selected from the theory and applications of abstract algebra; groups, rings, fields.  Prerequisite: MAT 411C with a grade greater than or equal to C CAP

 

MAT  431C INTRODUCTION TO ANALYSIS      (3)

The real number system, topology of the real line, limits of sequences and functions, continuity, differentiation, and integration.  Letter grade only.  Prerequisite: MAT 320W with a grade greater than or equal to C CAP

 

MAT  432C INTRODUCTION TO ANALYSIS II       (3)

Topics in the theory and application of real analysis: infinite series, uniform convergence, multivariate analysis, and metric spaces. Prerequisite: MAT 238 and MAT 431C with grades greater than or equal to C CAP

 

MAT  441C INTRODUCTION TO TOPOLOGY       (3)

Topological spaces, continuous maps, homeomorphism, metric spaces, connectedness, compactness, product spaces, quotient spaces, elementary geometric topology. Prerequisite: MAT 431C with a grade greater than or equal to C CAP

 

MAT  442C HISTORY AND PHILOSOPHY OF MATHEMATICS      (3)

Examines the historical development of mathematics and its impact on Western culture; consideration of its philosophical basis, especially in modern mathematics.  Prerequisite: MAT 320W with a grade greater than or equal to C CAP

 

MAT  461 PARTIAL DIFFERENTIAL EQUATIONS      (3)

Partial differential equations, boundary value problems, Fourier series, selected topics, with applications.  Prerequisite: MAT 239 and MAT 316  with grades greater than or equal to C

 

MAT  467 OPERATIONS RESEARCH      (3)

Operations research; including linear programming and applications; additional topics such as queuing theory and dynamic, integer, or nonlinear programming.  Letter grade only.  Course fee required.  Prerequisite: MAT 238 and MAT 316 with grades greater than or equal to C

 

MAT  480 MATHEMATICS OF FINANCE MODELING      (3)

Principles of modeling actuarial and financial market events.  Weiner and stochastic processes, binomial tree pricing, and Black-Scholes analysis.  Letter grade only.  Course fee required.  Prerequisite: MAT 239 with a grade greater than or equal to C

 

MAT  485 UNDERGRADUATE RESEARCH      (1-6)

Original research under the supervision of a research adviser. Letter grade or pass-fail.  May be repeated for up to 12 units of credit.  Department consent required.

 

MAT  490 TOPICS IN MATHEMATICS      (3)

In-depth study of topics in mathematics.  

 

MAT  497 INDEPENDENT STUDY      (1-6)

Individualized approach to selected topics by guided reading and critical evaluation. Pass-fail only.  Department consent required.  

 

MAT  499 CONTEMPORARY DEVELOPMENTS      (1-3)

Examines recent trends and investigations in a selected area. Letter grade only. No repeat limit.