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Term: Summer 2024

AZTransfer SUN courses only

MAT 100 - Mathematics Pathway: Review of algebra topics including the simplification of algebraic expressions, solution of algebraic equations, graphing of linear equations and factoring of polynomials. Pass/Fail only.
MAT 108 - Algebra For Precalculus: 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. Letter grade only.
MAT 110 - College Algebra: 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.
MAT 114 - Quantitative Reasoning: Contemporary applications of quantitative methods involving number sense, ratios, proportions, rates, statistics, probability, graphical representations, and financial mathematics, with emphasis on application and understanding of these concepts in a wide range of contexts. Fulfills liberal studies foundation requirement. Letter grade only.
MAT 119 - Finite Mathematics: Concepts, techniques and applications of systems of linear equations, geometric linear programming, mathematics of finance, combinatorics and probability. Fulfills liberal studies mathematics foundation requirement. Letter grade only.
MAT 121 - Finite Mathematics With Calculus: Concepts, techniques and applications of systems of linear equations, probability, data and distributions, function concepts and graphs, limits, differentiation, optimization, and applications related to business. Fulfills liberal studies mathematics foundation requirement. Letter grade only.
MAT 123 - First Year Seminar: This course introduces first year majors to the academic content, degree programs, faculty, resources and opportunities available in the Department of Mathematics and Statistics. Pass-fail only.
MAT 125 - Precalculus Mathematics: Concept of function; graphs; absolute value, linear, polynomial, rational, exponential, logarithmic, and trigonometric functions; systems of equations. This course will fulfill either the liberal studies Mathematics foundation requirement or a Science Applied Science liberal studies distribution block requirement. If you have already fulfilled your Mathematics foundation requirement, this course will fulfill a Science Applied Science liberal studies distribution block requirement. 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. Letter grade only.
MAT 125H - Precalculus Mathematics - Honors: Concept of function; graphs; absolute value, linear, polynomial, rational, exponential, logarithmic, and trigonometric functions; systems of equations. 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. Letter grade only.
MAT 131 - Topics In Calculus: Introductory topics in differential and integral calculus with applications. This course will fulfill either the Mathematics foundation requirement or a Science Applied Science liberal studies distribution block requirement. If you have already fulfilled your Mathematics foundation requirement, this course will fulfill a Science Applied Science liberal studies distribution block requirement. Letter grade only.
MAT 136 - Calculus I: Calculus of one variable; basic concepts, interpretations, techniques, and applications of differentiation and integration. This course will fulfill either the Mathematics foundation requirement or a Science Applied Science liberal studies distribution block requirement. If you have already fulfilled your Mathematics foundation requirement, this course will fulfill a Science Applied Science liberal studies distribution block requirement. Letter grade only.
MAT 136H - Calculus I - Honors: Calculus of one variable; basic concepts, interpretations, techniques, and applications of differentiation and integration. This course will fulfill either the Mathematics foundation requirement or a Science Applied Science liberal studies distribution block requirement. If you have already fulfilled your Mathematics foundation requirement, this course will fulfill a Science Applied Science liberal studies distribution block requirement. Letter grade only.
MAT 137 - Calculus II: Concepts, techniques, and applications of integration, differential equations, Taylor polynomials, infinite series. This course will fulfill either the liberal studies Mathematics foundation requirement or a Science Applied Science liberal studies distribution block requirement. If you have already fulfilled your Mathematics foundation requirement, this course will fulfill a Science Applied Science liberal studies distribution block requirement. Letter grade only.
MAT 150 - Principles Of Mathematics I: Mathematical principles and processes underlying mathematics instruction in grades K-8; systems of whole numbers, integers, rational numbers, and irrationals. Letter grade only.
MAT 155 - Principles Of Mathematics II: Mathematical principles and processes underlying mathematics instruction in grades K-8; geometry and measurement; statistics and probability.Letter grade only.
MAT 199 - Special Topics: Foundation of intellectual inquiry. In-depth study of a substantive problem. Letter grade only. May be repeated for up to 6 units of credit.
MAT 216 - Introduction To Matrix Algebra: Matrix operations (addition, product, determinant, inverse, row operations); common matrix types; matrix algebra. Systems of linear equations. Vector arithmetic. Students may not earn credit for both MAT 216 and MAT 316. Letter grade only.
MAT 226 - Discrete Mathematics: Elementary discrete mathematics including topics from graph theory and combinatorics with emphasis on problem solving. This course will fulfill either the Mathematics foundation requirement or a Science Applied Science liberal studies distribution block requirement. If you have already fulfilled your Mathematics foundation requirement, this course will fulfill a Science Applied Science liberal studies distribution block requirement. Letter grade only.
MAT 232 - Introduction To Mathematical Reasoning: Mathematical reasoning in multi-step problems across different areas of mathematics. Focuses on problem solving and solution writing. Letter grade only.
MAT 238 - Calculus III: Vector functions and multidimensional calculus; partial derivatives, gradients, optimization, multiple integrals, parametric curves and surfaces, vector calculus, line integrals, flux integral, and vector fields. Letter grade only.
MAT 239 - Differential Equations: Solutions of first-order differential equations, nth-order linear equations, systems of linear differential equations, series solutions. Letter grade only.
MAT 285 - Functions, Algebra, And Applications: This course is an in-depth study of selected topics in secondary school mathematics. Emphases are on algebraic reasoning, expressions and equations; developing an understanding of function with a focus on linear, polynomial, exponential, trigonometric and logarithmic functions; and multiple representations of function. Letter grade only.
MAT 299 - Special Topics: In-depth study of an aspect, concept, or problem. Letter grade only. May be repeated for up to 6 units of credit.
MAT 316 - Introduction To Linear Algebra: Systems of equations, matrices, vector spaces, linear transformations, eigenvalues. Students may not earn credit for both MAT 216 and MAT 316. Letter grade only.
MAT 316H - Introduction To Linear Algebra - Honors: Systems of equations, matrices, vector spaces, linear transformations, eigenvalues. Students may not earn credit for both MAT 216 and MAT 316. Letter grade only.
MAT 318 - Elementary Number Theory: Mathematical induction, Euclidean algorithm, linear and quadratic congruences, diophantine equations, primes, continued fractions. Letter grade only.
MAT 318H - Elementary Number Theory - Honors: Mathematical induction, Euclidean algorithm, linear and quadratic congruences, diophantine equations, primes, continued fractions. Letter grade only.
MAT 320 - Foundations Of Mathematics: Symbolic logic, set theory, functions, and number systems. Focuses on techniques of proof and mathematical writing. This course contains an assessment that must be successfully completed in order to register for student teaching. Letter grade only.
MAT 331 - Laplace Transforms: Laplace transforms, inverse transforms, and applications. Letter grade only.
MAT 335 - Complex Variables: Fundamental theory and applications of complex variables and analytic functions with emphasis on integration, power series, and the calculus of residues. Letter grade only.
MAT 335H - Complex Variables - Honors: Fundamental theory and applications of complex variables and analytic functions with emphasis on integration, power series, and the calculus of residues. Letter grade only.
MAT 362 - Introduction To Numerical Analysis: 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.
MAT 362H - Introduction To Numerical Analysis - Honors: 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.
MAT 365 - Modern Geometry: Major theorems of Euclidean geometry; introduction to non-Euclidean geometry. Letter grade only.
MAT 368 - Mathematical Modeling: Concept of a mathematical model; construction and application of deterministic and probabilistic models. Letter grade only.
MAT 389 - Cooperative Education: Individualized preplanned cooperative employment experience related to your field of study or career objectives. Department consent required. Pass-Fail only. May be repeated for up to 12 units of credit. Please complete the Cooperative Education Proposal form and obtain signatures of approval BEFORE registering. https://policy.nau.edu/policy/Documents/Cooperative_Education_Form_121317.pdf
MAT 399 - Special Topics: In-depth study of an aspect, concept, or problem within a program of study. Letter grade only. May be repeated for up to 6 units of credit.
MAT 401 - Methods Of Teaching Secondary School Mathematics I: This course covers content, pedagogical and technological trends and issues related to teaching and learning numbers/operations and geometry/trigonometry/measurement in grades seven through twelve. Emphases are on the use and structure of numbers, number systems, operations; proportional reasoning; and models, representations, characteristics, principles, and visualizations of core concepts and shapes in 2D and 3D geometry. Letter grade only.
MAT 401H - Methods Of Teaching Secondary School Mathematics I - Honors: This course covers content, pedagogical and technological trends and issues related to teaching and learning numbers/operations and geometry/trigonometry/measurement in grades seven through twelve. Emphases are on the use and structure of numbers, number systems, operations; proportional reasoning; and models, representations, characteristics, principles, and visualizations of core concepts and shapes in 2D and 3D geometry. Letter grade only.
MAT 402 - Methods Of Teaching Secondary School Mathematics II: This course covers content, pedagogical and technological trends and issues related to teaching and learning probability/statistics, calculus, and mathematical and statistical modeling in grades seven through twelve. Emphases are on quantitative literacy; visualizing and summarizing data; statistical inference; probability; applied statistical problems; calculation of instantaneous rates of change; and summation of infinitely many small factors to determine some whole. Letter grade only.
MAT 408 - Field Work Experience: Individualized supervised field experience in an appropriate agency or organization. Department consent required. Pass-fail only. May be repeated for credit.
MAT 411 - Introduction To Abstract Algebra: Basic algebraic structures. Topics selected from groups, rings, and fields. Letter grade only.
MAT 412 - Introduction To Abstract Algebra II: Topics selected from the theory and applications of abstract algebra; groups, rings, fields. Letter grade only.
MAT 412H - Introduction To Abstract Algebra II - Honors: Topics selected from the theory and applications of abstract algebra; groups, rings, fields. Letter grade only.
MAT 431 - Introduction To Analysis: The real number system, topology of the real line, limits of sequences and functions, continuity, differentiation, and integration. Letter grade only.
MAT 441 - Introduction To Topology: Topological spaces, continuous maps, homeomorphism, metric spaces, connectedness, compactness, product spaces, quotient spaces, elementary geometric topology. Letter grade only.
MAT 442 - History And Philosophy Of Mathematics: Examines the historical development of mathematics and its impact on Western culture; consideration of its philosophical basis, especially in modern mathematics. Letter grade only.
MAT 461 - Partial Differential Equations: Partial differential equations, boundary value problems, Fourier series, selected topics, with applications. Letter grade only.
MAT 462 - Interest Theory For Actuarial Science: Theory and applications of interest, or the time value of money. Topics include measurement of interest, annuities certain, yield rates, amortization schedules and sinking funds, bonds, and related securities. Co-convened with MAT 562. Letter grade only.
MAT 480 - Mathematics Of Finance Modeling: Mathematical concepts of financial models used to describe the monetary-world phenomena of random markets. Provides experience in creating and analyzing such models. Co-convened with MAT 580. Letter grade only.
MAT 485 - Undergraduate Research: Original research under the supervision of a research adviser. Department consent required. Letter grade or pass-fail. May be repeated for up to 12 units of credit.
MAT 485H - Undergraduate Research - Honors: Original research under the supervision of a research adviser. Department consent required. Letter grade or pass-fail. May be repeated for up to 12 units of credit.
MAT 486C - Mathematics Capstone Experience: Students will work with faculty to identify a topic area, work with other students in the same area to learn supporting material and complete an independent project. The project will culminate in an oral presentation and a written report. This course should be taken within two semesters of the student's intended graduation date. Letter grade only.
MAT 497 - Independent Study: Individualized approach to selected topics by guided reading and critical evaluation. Department consent required. Pass-fail only. May be repeated for credit. Please complete the Independent Study Proposal form and obtain signatures of approval BEFORE registering. https://nau.edu/wp-content/uploads/sites/26/Independent_Study_Form_FINAL-3.pdf
MAT 499 - Contemporary Developments: Examines recent trends and investigations in a selected area. Letter grade only. No repeat limit.
MAT 500 - Reflections On/In Math Education: This hybrid face-to-face and online course facilitates reflections regarding effective mathematics education and presents a powerful framework for collaboratively researching and revitalizing the mathematics teaching and learning. Cannot be used for the M.S. Mathematics or M.S. Statistics degrees. Letter grade only.
MAT 501 - History And Philosophy Of Mathematics Education: Historical underpinnings of the field of mathematics education; identifying issues and forces which influence curricular and philosophical change in mathematics education. Cannot be used for the M.S. Mathematics or M.S. Statistics degrees. Letter grade only.
MAT 502 - Problem Solving: Theory And Practice: Theoretical and pedagogical aspects of problem solving; curricular materials, teaching strategies, and evaluation techniques. Letter grade only.
MAT 504 - Connections - Algebra And Number Theory: This course will address the teaching and learning of the following content areas: rings, fields and groups, arithmetic and congruence within the integers and isomorphisms. Cannot be used for the M.S. Mathematics or M.S. Statistics degrees. Letter grade only.
MAT 505 - Connections - Calculus: This course will address the teaching and learning of the following content areas: functions, sequences and series, limits, continuity, derivatives, integrals, introductory differential equations and introductory analysis in the real number system. Cannot be used for the M.S. Mathematics or M.S. Statistics degrees. Letter grade only.
MAT 506 - Connections - Geometry: This course will address the teaching and learning of the following content areas: axiomatic foundation of Euclidean and non-Euclidean geometry, transformations, geometric applications of trigonometry, visualization, geometric modeling and graphs. Cannot be used for the M.S. Mathematics or M.S. Statistics degrees. Letter grade only.
MAT 507 - Connections - Probability And Statistics: This course will address the teaching and learning of the following content areas: collecting and displaying data, descriptive statistics, counting techniques, discrete and geometric probability, conditional probability, simulation, random variables, expected value and variance of a random variable, probability distributions, correlation, regression, and estimation. Cannot be used for the M.S. Mathematics or M.S. Statistics degrees. Letter grade only.
MAT 509 - Assessment In Mathematics: This course investigates the theoretical and practical aspects of effective assessment in mathematics teaching and learning. Cannot be used for the M.S. Mathematics or M.S. Statistics degree. Letter grade only.
MAT 510 - Curriculum In Mathematics Education: Topics and issues related to mathematics curriculum in grades seven through twelve. Cannot be used for the M.S. Mathetics or M.S. Statistics degrees. Letter grade only.
MAT 511 - Abstract Algebra I: Groups through the Sylow theorems, rings, and fields. Assumes familiarity with definitions and elementary properties of basic algebraic structures. Letter grade only.
MAT 516 - Linear Algebra: Vector spaces, linear mappings, matrix theory, spectral theory, canonical forms, determinants, diagonalization, invariant subspaces, inner product spaces. Letter grade only.
MAT 518 - Technology In Mathematics Education: Examines current technology used in secondary school mathematics; use of software packages to explore variety of topics. Letter grade only.
MAT 526 - Topics In Combinatorics: Topics in enumerative, algebraic, and geometric combinatorics, chosen at instructor's discretion; may include advanced counting techniques, graph theory, combinatorial designs, matroids, and error-correcting codes. Letter grade only.
MAT 531 - Real Analysis: Metric spaces, limits, sequences and series, continuity, differentiation, Riemann integration, uniform convergence of sequences of functions. Letter grade only.
MAT 535 - Complex Analysis: Complex numbers, analytic functions, Cauchy integral theorems, calculus of residues, Taylor and Laurent expansions, applications. Letter grade only.
MAT 562 - Interest Theory For Actuarial Science: Theory and applications of interest, or the time value of money. Topics include measurement of interest, annuities certain, yield rates, amortization schedules and sinking funds, bonds, and related securities. Co-convened with MAT 462. Letter grade only.
MAT 563 - Numerical Analysis: Approximation theory and error analysis, numerical differentiation and integration, solution of linear and nonlinear equations, ordinary and partial differential equations. Advanced topics from linear systems, eigenvalue problems, optimization, boundary value problems, and applications. Letter grade only.
MAT 565 - Actuarial Mathematics I: Theory and applications of contingency mathematics: life and health insurance, annuities and pensions using probabilistic and deterministic models. Letter grade only.
MAT 567 - Risk Theory: Risk theory applied to insurance, especially with respect to compound Poisson and negative binomial processes. Letter grade only.
MAT 580 - Mathematics Of Financial Modeling: Mathematical concepts of financial models to describe the monetary-world phenomena of random markets. Provides experience in creating and analyzing such models. Co-convened with MAT 480. Letter grade only
MAT 587 - Professional Development Seminar: Designed to assist you in preparing for entry into your professional arena. Cross-listed with STA 587. Pass-fail only. May be repeated for credit.
MAT 593 - Public School In-service Workshop: Topical instruction involving exchange of ideas, practical methods, skills, and principles. Normally you may count up to 6 units of 593 toward your graduate program. Pass-fail only. May be repeated for credit.
MAT 595 - Methods Of Teaching Mathematics I (Numbers/Operations, Algebra, And Geometry): Topics and issues related to the teaching, learning, and research implications of numbers/operations, algebra, and geometry in grades seven through twelve. This course is a requisite to the Certificate Mathematics or Science Teaching (CMOST)program. Cannot be used for the M.A.T. degree. Instructor consent required. Letter grade only.
MAT 596 - Methods Of Teaching Mathematics II (Precalculus, Calculus, Probability, And Statistics): Topics and issues related to teaching, learning, and research implications of precalculus, calculus, probability, and statistics in grades seven through twelve. This course is a requisite to the Certificate Mathematics or Science Teaching (CMOST) program. Cannot be used for the M.A.T. or degree. Instructor consent required. Letter grade only.
MAT 597 - Reading For Comprehensive Exam: Preparation for comprehensive examination. Department consent required. Pass-fail only. May be repeated for credit.
MAT 599 - Contemporary Developments: Examines recent trends and investigations in a selected area of a particular field of study. May be offered no more than three times before being submitted for a permanent course number. May be repeated for credit. Pass-fail or letter grade.
MAT 600 - Equity In Mathematics Education: Examination of recent mathematics education research and policy to facilitate reflection regarding effective mathematics education for all students. Investigation of expectations, rationales, realities and strategies of the Mathematics for All initiatives. Cannot be used for the M.S. Mathematics or M.S. Statistics degrees. Letter grade only.
MAT 602 - Research In Mathematics Education: Research within the field of mathematics education; types of research and their contributions and limitations; articulation of research and classroom practice. Cannot be used for the M.S. Mathematics or M.S. Statistics degrees. Letter grade only.
MAT 603 - Capstone Course: Comprehensive Exam And Portfolio: Individualized directed writing and oral defense of capstone comprehensive exam and portfolio. Pass-fail only. Prerequisite: Approval of the Final Portfolio and Oral Exam request/Instructor Consent.
MAT 608 - Fieldwork Experience: Department consent required. Pass-fail only. May be repeated for up to 12 units of credit.
MAT 612 - Abstract Algebra II: Continuation of MAT 511. Rings and modules, field extensions and Galois theory, and advanced topics at instructor's discretion. Letter grade only.
MAT 632 - Measure And Integration: Measure theory, the Lebesgue integral, convergence theorems, absolute continuity, differentiation, Lebesgue function spaces. Letter grade only.
MAT 641 - Topology: Topological spaces, metric spaces, homeomorphism, compactness, connectedness, separation axioms, product and quotient spaces, local properties, elementary algebraic, and geometric topology. Letter grade only.
MAT 661 - Applied Mathematics: Analysis of the equations of mathematical physics and science, including ordinary and partial differential equations, eigenfunction expansions, and related advanced topics. Letter grade only.
MAT 665 - Ordinary Differential Equations: Existence and uniqueness of solutions, continuous dependence, maximal interval of existence, linear systems, stability, nonlinear autonomous systems in the plane. Letter grade only.
MAT 667 - Dynamical Systems: Discrete dynamical systems and nonlinear differential equations, emphasizing structural stability, bifurcation theory, and chaos. Includes such examples as the logistic map, solenoid, Smale horseshoe, and Lorenz equations. Letter grade only.
MAT 685 - Graduate Research: Department consent required. Letter grade or pass-fail. May be repeated for up to 6 units of credit.
MAT 690 - Advanced Topics In Mathematics: Investigates specific advanced topics in mathematics. Instructor consent required. Letter grade only. May be repeated with different topics, for up to 12 units of credit.
MAT 697 - Independent Study: Individualized directed study on selected topics. Note that no more than 3 units may be included on a master's plan in education. Department consent required. Letter grade or pass-fail. May be repeated for credit. Please complete the Independent Study Proposal form and obtain signatures of approval BEFORE registering. https://nau.edu/wp-content/uploads/sites/26/Independent_Study_Form_FINAL-3.pdf
MAT 698 - Graduate Seminar: Department consent required. Letter grade or pass-fail. May be repeated for up to 3 units of credit.
MAT 699 - Thesis: Individualized directed research, writing, and oral defense of selected thesis topic. Department consent required. Pass-fail only. Prerequisite: GPA of at least 3.3 in MS mathematics program coursework