577
- Subject
- MATH
- Type
- course
- Edition
- 2026-2027
- Source
- www.uwyo.edu
94 courses with the subject MATH, each shown exactly as we captured it from the college's catalog, with every element we hold. Where the wording looks broken, that is our reading of the catalog, not the college's text.
577
This class is to assist students in refreshing their skills in Mathematics, from the fundamentals of arithmetic through college level algebra and trigonometry. If time and preparation allow, basic calculus concepts will be discussed. This class is largely self-paced, but with intrusive faculty support. Max Credit: 3
402
Max Credit: 3 USP 2015 Code: U5FY
For music majors and minors not planning to enroll in MATH 1400 , MATH 1450 or a calculus course. Serves as an introduction to the mathematics and physics underlying music and develops quantitative reasoning in a musical context. Topics include the wave nature of sound, intervals, scales, temperment, acoustics and psychoacoustics. Max Credit: 3
Emphasizes aspects of algebra important in the study of calculus. Includes notation of algebra, exponents, factoring, theory of equations, inequalities, functions, graphing and logarithms. For students who plan to enroll in a calculus course (MATH 2200 or MATH 2350 ). Max Credit: 3
or MATH 1450 - Algebra and Trigonometry (USP:Q)
Emphasizes aspects of algebra, trigonometry and problem solving important in the study of calculus. Functions and their applications to real world problems. Classes of functions including polynomial, exponential, logarithmic and trigonometric functions. Intuitive introduction to the idea of limit and sequenc which are developed further in the calculus sequence. For the student with considerable prior exposure to trigonometry and algebra. Graphing calculators are used frequently in class and on assignments. See instructor for specifications. Max Credit: 5
Emphasizes physical science applications. Includes plane analytic geometry, differentiation, applications of the derivative differential equations, integration and applications. Max Credit: 4
Continues MATH 2200 . Includes elementary functions, derivatives, integrals, analytical geometry, infinite series and applications. Max Credit: 4
Electives Basic Chemistry: 45-46 Hours
Computer Science (6 Hours)
Introduces the mathematical concepts that serve as foundations of computer science: logic, set theory, relations and functions, graphs (directed and undirected), inductively defined structures (lists and trees), and applications of mathematical induction. Provides an introduction to abstract and rigorous thinking in advanced mathematics and computer science. Max Credit: 3
Includes solution of ordinary differential equations, integral transforms. Emphasizes construction of mathematical models arising in physical science and other areas. Max Credit: 3
Primarily for students in the College of Business. Includes an introduction to limits; the definition of a derivative; derivatives and their applications; antiderivatives; definite integrals and their applications. The applications emphasize concepts of interest to business majors. Max Credit: 4
Primarily for students in the College of Business. Includes the mathematics of finance; systems of linear equations and matrices; linear programming; sets, counting, and probability. Students will learn to use Excel spreadsheets to solve business application problems in a computer lab that meets one day per week. Max Credit: 4
Preparation for the William Lowell Putnam Mathematical Competition. Problem solving strategies and mathematical content appropriate for the Putnam Exam are emphasized with problem sets taken from previous Putnam or other international math contests. Max Credit: (Max. 8)
An introduction to modern mathematical reasoning and discourse, emphasizing the distinctive ways in which logic and language are used and the motivations behind them. Develops methods of precise definition and rigorous proof. Several topics are explored, illustrating mathematics as a living, dynamic subject with its own culture and conventions. Max Credit: 2 Former Course Number: MATH 2800
Professional Education Requirements Analysis Completion of EDST 2450 with a minimum grade of C or better
Continues MATH 2310. Includes partial differential equations, Fourier series, boundary value problems, series solutions of ordinary differential equations, linear algebra, linear systems of equations and numerical methods. Max Credit: 3 Prerequisite:
is a prerequisite for the following courses: Computing EDEX 2484 - Introduction to Special Education MATH 3500 - Abstract Algebra I: Introduction to Methods (Offered Fall Semester Only) - 7 Hours Abstract Algebra EDSE 3271 - Subject Matter Specific Methods I: MATH 4000 - History of Mathematics Secondary Mathematics Education MATH 4150 - Secondary School on Campus (3 (3 credits required) credits required)
Provides an introduction to combinatorics and combinatorial algorithms, with applications to areas such as computer science and probability. Topics include general counting methods, recurrence relations, generating functions, inclusion-exclusion, partial orders, and graph theory. Max Credit: 3
Explores the roots of mathematics and the people who made significant contributions to it. Mathematical subjects typically include algebra, calculus and number theory; both chronological and topical approaches are employed. Max Credit: 3
Provides prospective teachers opportunity to study mathematics as it relates to the secondary school. Topics may vary from semester to semester. Emphasizes current trends and concerns of secondary school mathematics education. Max Credit: 4
A second course in analysis. Includes metric space topology, sequences and series of functions, and analysis in R^n. Max Credit: 3
Develops the theory of functions of one complex variable. Topics include the algebra and geometry of complex numbers, functions of one complex variable, elementary functions, limits, continuity and differentiation. Differentiability leads to the Cauchy theorem, integral theorems, power series, residue theory and applications to integration theory and boundary value problems. Max Credit: 3
Modeling - Strongly Recommended
and Partial Differential Equations Further develops the skills needed for computational problem solving and numerical analysis. Topics addressed include: one- step and linear multistep methods for solving initial value problems; truncation errors, stability analysis, and convergence of the numerical methods; finite difference approximation for elliptic equations and initial boundary value problems; iterative methods for sparse linear systems. Students typically complete a final project in this course. Max Credit: 3
Studies advanced topics in mathematical logic. Takes up such topics as: uninterpreted calculi and the distinctive contributions of syntax and semantics; metatheory, including completeness and consistency proofs; modal logic and semantics; logic as a philosophical tool. Max Credit: 3
Continuation from MATH 2250 of the study of matrices, an important tool in statistics, physics, engineering and applied mathematics in general. Concentrates on the structure of matrices, including diagonalizability; symmetric, hermitian and unitary matrices; and canonical forms such as Jordan form. Max Credit: 3
Course in Abstract Algebra Second course in a two-course sequence. Building on the first course, continues the investigation of abstract algebraic structures, including groups, rings, and fields, as well as applications. Familiarity with proof-based mathematics is assumed. Max Credit: 3
Studies topics in mathematics which are motivated by questions about integers. Topics include divisibility, congruences, diophantine equations, quadratic residues, primitive roots, primes, and representations of positive integers. Max Credit: 3
Broadens the student's understanding of the many faces of geometry and provides a context for the specific case of Euclidean geometry. Various approaches will be presented, including axiomatic, synthetic, coordinate, and transformational methods. Max Credit: 3
Exposes students to problems and thinking in mathematics which would otherwise be unavailable. Max Credit: 3
used for a Mathematics Elective. Only grades of C or better will be accepted for the Minor.
Mathematics Max Credit: (Max. 9)
Patterns for the Middle-level Learner Provides working middle-level mathematics teachers opportunities to understand and discuss numbers, their representations, and operations on them from an abstract perspective that includes elegant proof. Also emphasized is the role of language and purpose in composing definitions. Max Credit: 3
Mathematics and the Middle-Level Learner Empowers teachers of middle-level mathematics to design more engaging experiences. Emphasizes the historical context for the development of mathematics, especially its symbols, tools, personalities, and classic problems. Max Credit: 3
Problem- Solving for the Middle-Level Learner Showcases two aspects of 2D and 3D geometry: measurement and transformation. Emphasis reflects current state and national 1209
graduate program, in either degree or non- degree seeking status, and acceptance into the Middle-level Mathematics program. 5190. Mathematics of Change and the Middle-Level Learner, MMA. 3. Students gain a solid understanding of data and func- tions in the service of calculus. Hands-on, project-driven, and focuses on the essential concepts of functions and calculus and their role in middle-level mathematics. Emphasis is on writing and technology (calculators and probeware). Cross listed with MATH 5190. gram, in either degree or non-degree seeking status, and acceptance into the Middle-level Mathematics program. 5205. Methods of Teaching Middle-Level Mathematics, MMA. 3. Research-based pedagogy and pedagogical content knowledge for teaching middle-level mathematics. De- signed for practicing teachers of middle-grades mathematics. Cross listed with EDCI 5205. 5215. Using Instructional Technology for Middle-Level Mathematics, MMA. 3. Covers the use of technology appropriate to middle-level mathematics teaching, such as microworlds, geographic information systems, spreadsheets, and other content appropriate technologies. Cross Listed with EDCI 5215. 5225. Assessment for Middle-Level Math- ematics, MMA. 3. Middle-level Mathematics Initiative teacher participants examine, ana- lyze, and implement a variety of assessments that are aligned with standards and instruction appropriate to the middle level math learner. Cross listed with EDCI 5225. Prerequisite: ad- mission to the SMTC Program. 5300. Classroom Assessment in Middle- level Science, MSC. 2. Deals with the design, construction, and testing of curriculum ma- terials to bring the spirit of scientific inquiry to elementary school pupils. Research to be conducted in the Science and Mathematics Teaching Center. 5320. Plan B Research in Science/Math- ematics Classroom, MSC. 3. A course to give graduate students in education, or in service teacher, an in-depth view of the new materi- als for teaching science in elementary schools. 5400. Spatial Data Instructional Technol- ogy. 1. Teaching strategies appropriate for elementary/middle school students’ concep- tual level of development. Positive attitudes toward teaching children about the Earth, its physical environment and human/environ- ment relationships will be promoted. The course content will be supported by the use of geospatial technologies, such as GPS and GIS. Prerequisite: graduate standing. 5510. Integrated Instructional Strategies, MSC. 2. Appropriate instructional strate- gies are discussed and modeled for aligning standards, expectations, and experiences in an integrated science environment. Atten- tion is given to unique characteristics of each strategy, including a review of research on the effectiveness of each strategy on student achievement and attitudes. Prerequisite: gradu- ate standing and teaching certification in el- ementary, middle school or general science; or graduate standing and concurrent enrollment in a program leading to teacher certification in elementary, middle school or general science education. 5600. Mathematics and Statistics in Sci- ence Teaching, MSC. 2. Provides science teachers with the knowledge and experience necessary to help students use statistics in the scientific process. Activities emphasize a hands-on inductive approach closely related to the school science curriculum. Important statistical ideas and methods are studied as they arise naturally in the biological, physical, and earth sciences. Prerequisite: graduate stand- ing and teaching certification in elementary, middle school or general science; or, gradu- ate standing and concurrent enrollment in a program leading to teacher certification in elementary, middle school or general science education. 5610. Field Studies in Environmental Edu- cation, NED. 4. Expands student’s knowl- edge of ecological and physiological animal College of Education 422 and plant adaptations to environmental condi- tions, the use of teaching methods and tools of naturalists, the range of resources available for designing and evaluating curriculum, and promotes an appreciation and understanding of the diversity of environments. Contains 4 modules. Prerequisite: graduate standing; must be accepted into the Teton Science School Program and matriculating at the TSS site. 5620. Advanced Elements of Field Ecol- ogy Course Design, NED. 5 (Max. 6). Addresses designing field ecology courses that include research, outdoor leadership, and natural history components. Opportunities are provided to gain deeper understanding of key natural history and ecology concepts of the bioregion; practical strategies for teach- ing these concepts in field programs; and to formally present student work. Prerequisite: graduate standing; must be accepted into the Teton Science School Program and matriculat- ing at the TSS site. 5625. Place-Based Education - Teton Sci- ence School. 3. Introduces graduate students at Teton Science Schools to the theory and practice of place-based education. The design of the course exposes students to the histori- cal, political, and eco-social underpinnings of place-based education while supporting stu- dents in developing thoughtful place-based pedagogies. Prerequisite: graduate student status. 5630. Teaching Practicum-Teton Science School. 2-4 (Max. 6). To improve teaching methods and techniques and expand profes- sional skills. Integrates the foundation of Teton Science Schools, applies coursework content understanding and develops leadership. The course is intended to challenge previously held instructional beliefs and nurture an evolving set of skills and instructional identity. Not equivalent to EDSE 4500 or EDCI 5990 or
Develops the theory of measures, measurable functions, integration theory, density and convergence theorems, product measures, decomposition and differentiation of measures, and elements of function analysis on Lp spaces. Lebesgue theory is an important application of this development. Max Credit: 3
A continuation of MATH 5200 . Max Credit: 3
Develops the function theory of holomorphic (analytic) and harmonic functions. Topics covered include the Cauchy- Riemann equations, Cauchy-Goursat theorem, Cauchy integral theorem, Morera's theorem, maximum modulus theorem, Liouville's theorem, power series representation, harmonic functions, theory of singularities of functions of one complex variable, contour integration, analytic continuation, Riemann mapping theorem and topology of spaces of holomorphic functions. Max Credit: 3
A continuation of MATH 5230 . Max Credit: 3
Probability STAT 5255 - Mathematical Theory of
Statistics STAT 5265 - Introduction to the Theory of
Topics include the geometry of Hilbert spaces, linear functions and operators on Hilbert spaces, spectral theory of compact normal operators, Banach space theory, the open mapping theorem, Hahn-Banach theorem, Banach- Steinhaus theorem, duality and linear operators on Banach spaces, and different topologies on Banach spaces and their duals. Max Credit: 3
Topics may include discussion of topological vector spaces, locally convex spaces, F-spaces, spectral theory of non- compact operators on Hilbert spaces, semigroups or evolution operators, distribution theory, and applications to differential equations and Sobolev spaces. Max Credit: 3
Topics in analysis. Max Credit: (Max. 18)
s Applied Sciences I
Second semester of a three-semester computational methods series with emphasis on numerical solution of differential equations. Topics include explicit and implicit methods, methods for stiff ODE problems, finite difference, finite volume, and fini element methods for time-independence PDEs semi/fully discrete methods for time-dependent PDEs. Max Credit: 3
Third semester of a three-semester computational methods series with emphasis on numerical solution of problems displaying sharp fronts and interfaces (nonlinear conservation laws, Hamilton-Jacobi equations). Max Credit: 3
Topics in numerical analysis. Max Credit: (Max 18)
I with a grade of B or better
Studies advanced topics in mathematical logic. Takes up such topics as: uninterpreted calculi and the distinctive contributions of syntax and semantics; metatheory, including completeness and consistency proofs; modal logic and semantics; logic as a philosophical tool. Max Credit: 3
Differential equations constitute the mathematical language for te problems of continuous change. ODEs deal with evolutionary processes involving one independent variable. This course revisits solution techniques but emphasizes the theoretical framework. Topics include: existence and uniqueness, linear and nonlinear differential systems, asymptotics and perturbations, and stability. Max Credit: 3
The theory of PDEs is important for abstract mathematics, applied science, and mathematical modeling. This course covers solution techniques but emphasizes the theoretical framework. Topics include: first order systems; characteristics; hyperbolic, elliptic and parabolic equations; separations of variables; series and transforms; integral relations; Green's functions, maximum principles; variational methods. Max Credit: 3
Max Credit: (Max. 18)
An introduction to the theory of abstract vector spaces and linear transformations from an axiomatic point of view, with applications to matrix theory. Topics include vector spaces, dimension, linear transformations, dual spaces and functionals, inner product spaces, and structure theorems. Max Credit: 3
An introduction to combinatorics covering both classical and contemporary topics. Includes some of the following: generating functions, recursion formulas, partially ordered sets, inclusion- exclusion, partitions, graph theory, Ramsey theory, combinational optimization, Latin squares, finite geometries, and design theory. Max Credit: 3
An in-depth study of various aspects of group theory, building 1211
Studies the structure of groups, rings, and fields. For each, concepts of substructures, quotient structures, extensions, homomorphism, and isomorphism are discussed. Max Credit: 3
A continuation of MATH 5550 , examining in depth selected topics from the theory of rings, fields, and algebras, including Galois theory. Max Credit: 3
An overview of matrix theory and its applications to combinatorics. Topics include Smith normal form, the Perron- Frobenius theory of non-negative matrices, location and perturbation of eigenvalues, and interlacing of eigenvalues. Applications include structure theorems for (0,1)-matrices, network flows, spectra of graphs, and the permanent. Max Credit: 3
Topics in algebra. Max Credit: (Max. 18)
Topics considered are metric spaces, open spheres, open sets, closed sets, continuous functions, limit points, topological spaces, homeomorphisms, compactness, connectedness, and separability. The familiar notion of distance on the real number line is generalized to the notion of a metric for an arbitrary set, which is in turn generalized to the concept of a set topology for a set. Certain applications to analysis and geometry are indicated. Max Credit: 3
Topics in algebraic topology, including simplicial homology groups and their topological invariance, the Eilenberg-Steenrod axioms, singular homology theory, and cohomology. Max Credit: 3
Curve theory, theory of surfaces, and geometrics on a surface. Max Credit: 3
Max Credit: (Max. 9) Prerequisite: consent of instructor.
Selected topics in combinatorial analysis. Max Credit: (Max. 18)
1-3 Max Credit: (Max. 8) Prerequisite: consent of instructor.
Work in classroom with a major professor. Expected to give some lectures and gain classroom experience. Max Credit: (Max. 3)
Campus Max Credit: (Max. 16)
Campus Max Credit: (Max. 16)
Designed to provide an enrichment experience in a variety of topics. Max Credit: (Max. 99)
Graduate level course designed for students who are involved in research for their thesis project. Also used for students whose coursework is complete and are writing their thesis. Max Credit: (Max. 24)
Graduate level course designed for students who are involved in research for their dissertation project. Also used for students whose coursework is complete and are writing their dissertation. Max Credit: (Max. 48)
Credit: (Max. 24) Prerequisite: graduate standing. Mathematics Education EMAT 5100 - Theory 1212
Source: University of Wyoming's catalog, linked per course · table learning_unit · CourseShelf publish 59