Mathematics (MATH)
Vertically-related courses in this subject field are: MATH 1170–MATH 1750–MATH 2750–MATH 4710–MATH 4720.
Credit Limitations: MATH 1080 carries no credit after MATH 1143; MATH 1143 carries no credit after MATH 1160 or MATH 1170; MATH 1170 carries 2 credits after MATH 1160; MATH 1160 carries no credit after MATH 1170, MATH 2150 carries no credit after MATH 4610 or MATH 4710.
MATH 1080 Intermediate Algebra (3 credits)
Carries no credit after MATH 1143. This course covers select topics in algebra with an emphasis on solving equations and inequalities. Topics include exponents and radicals, linear and quadratic equations, simple systems of equations, linear and absolute value inequalities, arithmetic of polynomials with basic factorization techniques, representations (formulas, graphs), and applications. Typically Offered: Fall, Spring and Summer.
MATH 1123 Math in Modern Society (3 credits)
General Education: Mathematics
Discussion of some aspects of mathematical thought through the study of problems taken from areas such as logic, political science, management science, geometry, probability, and combinatorics; discussion of historical development and topics discovered in the past hundred years. Typically Offered: Fall, Spring and Summer.
MATH 1143 Precalculus I: Algebra (3 credits)
General Education: Mathematics
Carries no credit after MATH 1160 or MATH 1170. This course introduces the concept and examples of real functions. Topics include definition, domain and range of a function; composition and inverse of functions, transformations; linear, quadratic and higher degree polynomials; rational, exponential and logarithmic functions; and representations (formulas, graphs) and applications. Typically Offered: Fall, Spring and Summer.
Prereqs: Sufficient score on SAT, ACT, or math placement test; or MATH 1080 with grade of C or better. It is recommended that MATH 1143 be taken within two years of passing MATH 1080 or its equivalent. Required test scores can be found here: http://www. uidaho. edu/registrar/registration/placement
MATH 1144 Precalculus II: Trigonometry (1 credit)
This is a course in trigonometry which supplements MATH 1143 or MATH 1170. Topics include angles, functions, transformations, inverses, identities, representations (formulas, graphs), and applications. Typically Offered: Fall, Spring and Summer. Prereqs or
MATH 1153 Introduction to Statistical Reasoning (3 credits)
General Education: Mathematics
Cross-listed with STAT 1530
A course in statistical literacy, an introduction with emphasis on examples and case studies. Topics include data sources and the distinction between experiments, observational studies, and surveys; graphical and numerical description of data; understanding randomness; central tendency; correlation versus causation; line of best fit; estimation of proportions; and statistical testing. Typically Offered: Fall, Spring and Summer.
MATH 1160 Survey of Calculus (4 credits)
General Education: Mathematics
Carries no credit after MATH 1170. Overview of functions, and graphs, derivatives, integrals, exponential and logarithmic functions, functions of several variables, and differential equations. Primarily for students who need only one semester of calculus, such as students in business or architecture. Typically Offered: Fall, Spring and Summer.
Prereqs: Sufficient score on SAT, ACT, or math placement test, or MATH 1143 with a C or better. Required test scores can be found here: http://www. uidaho. edu/registrar/registration/placement.
MATH 1170 Calculus I (4 credits)
General Education: Mathematics
Functions, limits, continuity, differentiation, integration, applications, differentiation and integration of transcendental functions. Primarily for students in engineering, mathematics, science, or computer science. Typically Offered: Fall, Spring and Summer.
Prereqs: MATH 1143 (with a grade of C or better) and MATH 1144 (concurrent enrollment in MATH 1144 is allowed, although it is recommended that students complete MATH 1144 before enrolling in MATH 1170); or demonstrated proficiency through a sufficiently high score on the ACT, SAT, or math placement test. Required test scores can be found here: http://www. uidaho. edu/registrar/registration/placement.
MATH 1750 Calculus II (4 credits)
General Education: Mathematics
Differentiation and integration of transcendental functions, integration techniques, general mean value theorem, numerical techniques, and series. Typically Offered: Fall, Spring and Summer.
Prereqs: MATH 1170 with a grade of C or better
MATH 1760 Discrete Mathematics (3 credits)
Induction, set theory, graph theory, number systems, Boolean algebra, and elementary counting.
Prereqs: MATH 1143 or sufficiently high score on SAT, ACT, or math placement test. Required test scores can be found here: http://www. uidaho. edu/registrar/registration/placement.
MATH 1830 Introduction to Data Science in Python (3 credits)
The purpose of this course is to introduce fundamental skills in data science such as data manipulation, data visualization, and tabular data analysis, as well as the basic usage of Python and Python techniques to perform such skills. Relevant mathematical topics such as basic linear algebra and basic statistics will also be introduced as required. Typically Offered: Varies.
MATH 2020 Seminar for Majors (1 credit, max 4)
This seminar course will cover topics needed to succeed in the major and involve engaging activities. Topics may include discussion of resources available to students and introduction to specific faculty and their research interests, information about careers, and eye-opening facts. Graded Pass/Fail. Typically Offered: Varies.
MATH 2040 (s) Special Topics (1-16 credits, max 99)
Credit arranged
MATH 2150 Proof via Number Theory (3 credits)
An introduction to mathematical thinking and proof through the development of the basic results of elementary number theory. Emphasis on techniques of mathematical proofs, reading and writing proofs, and fundamental mathematical structures.
MATH 2750 Calculus III (3 credits)
General Education: Mathematics
Vectors, functions of several variables, and multiple integration. Typically Offered: Fall, Spring and Summer.
Prereqs: MATH 1750
MATH 2990 (s) Directed Study (1-16 credits, max 99)
Credit arranged
MATH 3100 Ordinary Differential Equations (3 credits)
Classification, initial and boundary value problems of one variable, exact equations, methods of solving higher-order linear equations, second-order equations with constant coefficient, series solutions, systems of linear equations, Laplace transforms, and existence theorems. Recommended preparation: MATH 2750.
Prereqs: MATH 1750
MATH 3150 HON:Topics in Pure Mathematics (3 credits)
A topic selected each year that develops skill and appreciation for theoretical nature of mathematics.
Prereqs: Permission of director of University Honors Program
MATH 3300 Linear Algebra (3 credits)
Linear equations, matrices, linear transformations, eigenvalues, diagonalization; applications. Recommended Preparation: MATH 1750.
MATH 3710 Mathematical Physics (3 credits)
Cross-listed with PHYS 3710
Mathematical techniques needed in upper-division physics courses, including vector analysis, matrices, Sturm-Liouville problems, special functions, partial differential equations, complex variables. Typically Offered: Fall (Even Years).
MATH 3760 Discrete Mathematics II (3 credits)
Selected topics from discrete mathematics such as graph theory, modeling, and optimization. Recommended for computer science majors.
Prereqs: MATH 1760 or Permission
MATH 3850 Theory of Computation (3 credits)
Cross-listed with CS 3185
Mathematical models of computation, including finite automata and Turing machines. Typically Offered: Fall.
MATH 3860 Theory of Numbers (3 credits)
Second course on number theory, including a historical treatment of efforts to answer basic questions on the density and possible forms of prime numbers. Topics may include quadratic reciprocity, cubic reciprocity, quadratic forms, genus theory, higher reciprocity laws, Hilbert class field, the prime number theorem, Dirichlet's theorem on primes in an arithmetic progression, elliptic curves, and modular forms.
Prereqs: MATH 2150
MATH 3880 History of Mathematics (3 credits)
General Education: International, Social and Behavioral Ways of Knowing
Cross-listed with HIST 3880
History of the development of mathematical ideas from ancient cultures to the present, including the relationship of those ideas to the cultures that produced them as well as an understanding of the mathematics involved.
Prereqs: MATH 1750 or Permission Cooperative: open to WSU degree-seeking students.
MATH 3900 Axiomatic Geometry (3 credits)
Development of Euclidean and hyperbolic geometry using the axiomatic approach. Recommended Preparation: MATH 2150.
Prereqs: High school geometry and MATH 1760, or Instructor Permission
MATH 3910 Modern Geometry (3 credits)
Euclidean and non-Euclidean geometries, plus topics chosen from projective, transformational, and computational geometry. Recommended Preparation: MATH 2150.
Prereqs: High School Geometry and MATH 1760, or Instructor Permission
MATH 3950 Analysis of Algorithms (3 credits)
Cross-listed with CS 3195
Measures of efficiency; standard methods and examples in the design, implementation, and analysis of algorithms. Typically Offered: Spring.
MATH 4000 (s) Seminar (1-16 credits, max 99)
Credit arranged
MATH 4040 (s) Special Topics (1-16 credits, max 99)
Credit arranged
MATH 4150 Cryptography (3 credits)
General Education: Capstone Experience
Congruences, modular arithmetic, private-key cryptosystems, public-key cryptosystems, and applications. The role of modern mathematics in information age society.
Prereqs: MATH 3300
MATH 4200 Complex Variables (3 credits)
Complex numbers, elementary functions, derivatives, the residue theorem, conformal mappings, contour integration, infinite series, applications.
Prereqs: MATH 2750
MATH 4260 Discrete Optimization (3 credits)
Optimization on graphs, networks and flows, and related topics. Recommended Preparation: MATH 1750.
MATH 4270 Transformational Geometry (3 credits)
Joint-listed with MTHE 5270
Geometry concepts of congruence, parallelism, and similarity using rigid motions; the group structure of the collection of isometries and their matrix representations. The course is of particular interest to secondary mathematics teaching majors.
Prereqs: MATH 3300 or equivalent
MATH 4280 Numerical Methods (3 credits)
Cross-listed with ENGR 4280, PHYS 4280
Joint-listed with MATH 5290, PHYS 5280
Systems of equations, eigenvalues and eigenvectors, root finding, error analysis, numerical solution to differential equations, interpolation and data fitting, numerical integration, related topics and applications, such as fast Fourier transforms, as time and interest permits. Typically Offered: Spring.
Prereqs: MATH 3100; and CS 1120 or MATH 1830 or ENGR 2120 or Permission
MATH 4300 Advanced Linear Algebra (3 credits)
Vector spaces, linear transformations, characteristic polynomial, eigenvectors, Hermitian and unitary operators, inner products, quadratic forms, Jordan canonical form, applications.
MATH 4320 Numerical Linear Algebra (3 credits)
Joint-listed with MATH 5320
Solving a system of linear equations; computing eigenvalues and eigenvectors of a matrix; least squares problems, including when problems are large or ill-conditioned. These problems arise in applications in science and engineering. Additional projects and/or assignments are required for graduate credit. Recommended preparation: MATH 4300 and knowledge of a computer language Typically Offered: Fall (Odd Years).
MATH 4370 Mathematical Biology (3 credits)
General Education: Capstone Experience
Modeling biological phenomena, mostly through differential equations; mathematical topics include stability analysis and limit cycles for nonlinear ODE's, spatial diffusion and traveling waves for PDE's; biological topics include models of predator-prey systems, infectious diseases, and competition.
Prereqs: MATH 3100 or Permission Cooperative: open to WSU degree-seeking students.
MATH 4380 Mathematical Modeling (3 credits)
Topics in the use of mathematics to model phenomena from science, business, economics, and engineering.
Prereqs: CS 1120, MATH 3100, and MATH 3300, or Instructor Permission
MATH 4510 Probability Theory (3 credits)
Cross-listed with STAT 4510
Random variables, expectation, special distributions (normal, binomial, exponential, etc. ), moment generating functions, law of large numbers, central limit theorem. Typically Offered: Fall. Prereqs or
Coreqs: MATH 2750 or Permission Cooperative: open to WSU degree-seeking students
MATH 4520 Mathematical Statistics (3 credits)
Cross-listed with STAT 4520
Estimation of parameters, confidence intervals, hypothesis testing, likelihood ratio test, sufficient statistics. Typically Offered: Spring.
Prereqs: MATH 4510 or STAT 4510 or Permission Cooperative: open to WSU degree-seeking students.
MATH 4530 Stochastic Models (3 credits)
Cross-listed with STAT 4530
Joint-listed with MATH 5380, STAT 5440
Markov chains, stochastic processes, and other stochastic models; applications. Additional projects/assignments required for graduate credit.
Prereqs: MATH 4510 or STAT 4510 or Permission. Cooperative: open to WSU degree-seeking students.
MATH 4550 Applied Actuarial Science (1 credit)
Risk problems on the actuarial exam
Prereqs: MATH 4510
MATH 4610 Abstract Algebra I (3 credits)
Groups, rings, and fields. Typically Offered: Fall.
MATH 4620 Abstract Algebra II (3 credits)
Groups, rings, and fields. Typically Offered: Spring.
Prereqs: MATH 4610
MATH 4710 Introduction to Analysis I (3 credits)
Topology of Euclidean n-space, limit and continuity, differentiation, integration. Typically Offered: Fall.
MATH 4720 Introduction to Analysis II (3 credits)
Topology of Euclidean n-space, limit and continuity, differentiation, and integration. Typically Offered: Spring.
Prereqs: MATH 4710 or Permission
MATH 4760 Combinatorics (3 credits)
Elementary counting methods, generating functions, recurrence relations, Polya's enumeration, enumeration of graphs, trees, searching, and combinatorial algorithms. Recommended Preparation: MATH 1760, MATH 2150, or MATH 3760.
MATH 4800 Partial Differential Equations (3 credits)
Intro to Fourier analysis, application to solution of partial differential equations; classical partial differential equations of engineering and physics.
Prereqs: MATH 3100 or Permission
MATH 4830 Foundations of Machine Learning (3 credits)
This course covers mathematical foundations as well as basic algorithms for machine learning. Topics include algorithms for classification, regression, and clustering such as support vector machines, decision tree learning, and K-means; dimensionality reduction for data compression; and deep learning. The implementation of the algorithms will be in Python. Typically Offered: Varies.
Prereqs: MATH 1830, MATH 2750, and MATH 3300; or by permission
MATH 4990 (s) Directed Study (1-16 credits, max 99)
Credit arranged
MATH 5000 Master's Research and Thesis (1-16 credits, max 99)
Credit arranged
MATH 5010 (s) Seminar (1-16 credits, max 99)
Credit arranged
MATH 5020 (s) Directed Study (1-16 credits, max 99)
Credit arranged
MATH 5040 (s) Special Topics (1-16 credits, max 99)
Credit arranged
MATH 5050 (s) Professional Development (1-16 credits, max 99)
Credit arranged. Credit earned in this course will not be accepted toward graduate degree programs.
Prereqs: Permission
MATH 5100 Seminar on College Teaching of Mathematics (1 credit, max 99)
Development of skills in the teaching of college mathematics; includes structure of class time, test construction, and various methods of teaching mathematics; supervision of teaching assistants in their beginning teaching assignments. Graded Pass/Fail.
Prereqs: Permission
MATH 5210 Topology I (3 credits)
Basic concepts of point set and algebraic topology. Cooperative: open to WSU degree-seeking students.
MATH 5230 Algebraic Topology I (3 credits)
Basic homotopy theory, covering spaces, homology theory, and applications.
MATH 5280 Differentiable Manifolds (3 credits)
Fundamentals of smooth manifolds, tangent spaces, vector fields, Lie groups, integration on manifolds, and applications.
Prereqs: MATH 5210 and MATH 4720 Cooperative: open to WSU degree-seeking students.
MATH 5290 Numerical Methods (3 credits)
Cross-listed with PHYS 5280
Joint-listed with ENGR 4280, MATH 4280
, PHYS 4280. Systems of equations, eigenvalues and eigenvectors, root finding, error analysis, numerical solution to differential equations, interpolation and data fitting, numerical integration, related topics and applications, such as fast Fourier transforms, as time and interest permits. Typically Offered: Spring.
MATH 5310 Complex Variables (3 credits)
Theory of functions of a complex variable. Cooperative: open to WSU degree-seeking students.
MATH 5320 Numerical Linear Algebra (3 credits)
Joint-listed with MATH 4320
Solving a system of linear equations; computing eigenvalues and eigenvectors of a matrix; least squares problems, including when problems are large or ill-conditioned. These problems arise in applications in science and engineering. Additional projects and/or assignments are required for graduate credit. Recommended preparation: MATH 4300 and knowledge of a computer language Typically Offered: Fall (Odd Years).
MATH 5350 Real Variables (3 credits)
Measure and integration theory for functions of one or several variables.
MATH 5360 Probability Theory (3 credits)
Random variables, characteristic functions, convergence theorems, central limit theorem, conditional probability, and stochastic processes as developed from a measure theoretic basis.
Prereqs: MATH 5350 or Permission
MATH 5370 Fourier Analysis (3 credits)
Basic properties of Fourier series, convergence of Fourier series, Fourier transforms, finite Fourier analysis, and applications to signal processing such as frames and wavelets. Recommended preparation: MATH 4710 and 4720; or Permission. Typically Offered: Varies. Cooperative: open to WSU degree-seeking students.
MATH 5380 Stochastic Models (3 credits)
Cross-listed with STAT 5440
Joint-listed with MATH 4530, STAT 4530
Markov chains, stochastic processes, and other stochastic models; applications. Additional projects/assignments required for graduate credit. Cooperative: open to WSU degree-seeking students.
MATH 5390 Theory of Ordinary Differential Equations (3 credits)
Existence, uniqueness, and stability of solutions of first-order systems; other topics. Cooperative: open to WSU degree-seeking students.
MATH 5400 Partial Differential Equations (3 credits)
Existence and uniqueness theorems for the wave, heat, and Laplace's equations of physics; additional topics such as nonlinear models in mathematical biology, perturbation methods, etc. Typically Offered: Unknown.
Prereqs: MATH 5390 or Permission Cooperative: open to WSU degree-seeking students.
MATH 5550 Groups and Fields I (3 credits)
Groups, fields, polynomials, Galois theory, and representation theory.
Prereqs: MATH 4610 and MATH 4620; or equivalent Cooperative: open to WSU degree-seeking students.
MATH 5560 Groups and Fields II (3 credits)
Groups, fields, polynomials, Galois theory, and representation theory.
Prereqs: MATH 5550 or Permission Cooperative: open to WSU degree-seeking students.
MATH 5570 Ring Theory (3 credits)
Rings, ideals, modules, and commutative algebra.
Prereqs: MATH 4610 and MATH 4620; or equivalent Cooperative: open to WSU degree-seeking students.
MATH 5580 Introduction to Algebraic Geometry (3 credits)
Affine and projective varieties, morphisms, functions on varieties, birational maps, and applications.
Prereqs: MATH 5570 or Permission Cooperative: open to WSU degree-seeking students.
MATH 5590 Algebraic Number Theory (3 credits)
Dedekind rings, algebraic integers, prime ideals and their splittings, decomposition group, inertia group, ideal class group, and quadratic extensions and cyclotomic extensions. Some class field theory, including Frobenius automorphism, Artin automorphism, Hilbert class field, and adeles and ideles.
Prereqs: MATH 5570 or permission.
MATH 5610 (s) Seminar in Algebra (1-3 credits, max 99)
Credit arranged. Current literature.
MATH 5630 Mathematical Genetics (3 credits)
Cross-listed with BIOL 5630
Investigation of aspects of evolutionary biology with an emphasis on stochastic models and statistical methods; topics include: diffusion methods in molecular evolution, gene genealogies and the coalescent, inferring coalescent times from DNA sequences, population subdivision and F statistics, likelihood methods for phylogenic inference, statistical hypothesis testing, the parametric bootstrap.
Prereqs: MATH 1160 or MATH 1170 and STAT 2510 or STAT 3010 Cooperative: open to WSU degree-seeking students.
MATH 5710 Functional Analysis I (3 credits)
Linear topological spaces and linear operators.
Prereqs: MATH 5350
MATH 5720 Functional Analysis II (3 credits)
Linear topological spaces and linear operators.
Prereqs: MATH 5710
MATH 5750 Graph Theory I (3 credits)
Basic concepts and theorems; topics include trees and connectivity, eulerian and hamiltonian graphs, graph colorings, matchings, graph decomposition, and extremal graph theory.
MATH 5760 Graph Theory II (3 credits)
Basic concepts and theorems; topics include trees and connectivity, eulerian and hamiltonian graphs, graph colorings, matchings, graph decomposition, and extremal graph theory.
Prereqs: Instructor Permission
MATH 5790 Combinatorics (3 credits)
Topics from enumerative combinatorics, design theory, extremal combinatorics, and algebraic combinatorics.
MATH 5960 MAT Comp Exam (1 credit)
Supervised preparation for the Master of Arts in Teaching comprehensive exam. Graded Pass/Fail.
MATH 5980 (s) Internship (1-16 credits, max 99)
Credit arranged
MATH 5990 (s) Non-thesis Master's Research (1-16 credits, max 99)
Credit arranged. Research not directly related to a thesis or dissertation.
Prereqs: Permission
MATH 6000 Doctoral Research and Dissertation (1-45 credits, max 99)
Credit arranged