BazookaCow19/class-info huggingface dataset:
MATH 442: Intro Partial Diff Equations Introduces partial differential equations, emphasizing the wave, diffusion and potential (Laplace) equations. Focuses on understanding the physical meaning and mathematical properties of solutions of partial differential equations. Includes fundamental solutions and transform methods for problems on the line, as well as separation of variables using orthogonal series for problems in regions with boundary. Covers convergence of Fourier series in detail. 3 or 4 undergraduate hours. 3 or 4 graduate hours. 4 hours of credit requires approval of the instructor and completion of additional work of substance. Prerequisite: One of MATH 284, MATH 285, MATH 286, MATH 441.
MATH 444: Elementary Real Analysis Careful treatment of the theoretical aspects of the calculus of functions of a real variable intended for those who do not plan to take graduate courses in Mathematics. Topics include the real number system, limits, continuity, derivatives, and the Riemann integral. 3 or 4 undergraduate hours. 3 or 4 graduate hours. Credit is not given for both MATH 444 and either Math 424 or MATH 447. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 241; MATH 314 or MATH 347, or equivalent.
MATH 446: Applied Complex Variables For students who desire a working knowledge of complex variables; covers the standard topics and gives an introduction to integration by residues, the argument principle, conformal maps, and potential fields. Students desiring a systematic development of the foundations of the subject should take MATH 448. 3 or 4 undergraduate hours. 3 or 4 graduate hours.  Credit is not given for both MATH 446 and MATH 448. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 241.
MATH 447: Real Variables Careful development of elementary real analysis for those who intend to take graduate courses in Mathematics. Topics include completeness property of the real number system; basic topological properties of n-dimensional space; convergence of numerical sequences and series of functions; properties of continuous functions; and basic theorems concerning differentiation and Riemann integration. 3 undergraduate hours. 3 or 4 graduate hours. Credit is not given for both MATH 447 and either Math 424 or MATH 444. 4 hours of credit requires approval of the instructor and completion of additional work of substance. Prerequisite: MATH 241 or equivalent; junior standing; MATH 314 or MATH 347, or equivalent experience; or consent of instructor.
MATH 448: Complex Variables For students who desire a rigorous introduction to the theory of functions of a complex variable; topics include Cauchy's theorem, the residue theorem, the maximum modulus theorem, Laurent series, the fundamental theorem of algebra, and the argument principle. 3 or 4 undergraduate hours. 3 or 4 graduate hours. Credit is not given for both MATH 448 and MATH 446. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 447.
MATH 450: Numerical Analysis Same as CS 450, CSE 401 and ECE 491. See CS 450.
MATH 453: Number Theory Basic introduction to the theory of numbers. Core topics include divisibility, primes and factorization, congruences, arithmetic functions, quadratic residues and quadratic reciprocity, primitive roots and orders. Additional topics covered at the discretion of the instructor include sums of squares, Diophantine equations, continued fractions, Farey fractions, recurrences, and applications to primality testing and cryptopgraphy. 3 or 4 undergraduate hours. 3 or 4 graduate hours. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 241 or equivalent.
MATH 461: Probability Theory Introduction to mathematical probability; includes the calculus of probability, combinatorial analysis, random variables, expectation, distribution functions, moment-generating functions, and central limit theorem. 3 or 4 undergraduate hours. 3 or 4 graduate hours. Credit is not given for both MATH 461 and either STAT 408 or ECE 313. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 241 or equivalent.
MATH 463: Statistics and Probability I Same as STAT 400. See STAT 400.
MATH 464: Statistics and Probability II Same as STAT 410. See STAT 410.
MATH 473: Algorithms Same as CS 473 and CSE 414. See CS 473.
MATH 475: Formal Models of Computation Same as CS 475. See CS 475.
MATH 481: Vector and Tensor Analysis Introductory course in modern differential geometry focusing on examples, broadly aimed at students in mathematics, the sciences, and engineering. Emphasis on rigorously presented concepts, tools and ideas rather than on proofs. The topics covered include differentiable manifolds, tangent spaces and orientability; vector and tensor fields; differential forms; integration on manifolds and Generalized Stokes Theorem; Riemannian metrics, Riemannian connections and geodesics. Applications to configuration and phase spaces, Maxwell equations and relativity theory will be discussed. 3 or 4 undergraduate hours. 3 or 4 graduate hours. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 241 and one of MATH 415 or MATH 416 or equivalent.
MATH 482: Linear Programming Rigorous introduction to a wide range of topics in optimization, including a thorough treatment of basic ideas of linear programming, with additional topics drawn from numerical considerations, linear complementarity, integer programming and networks, polyhedral methods. 3 or 4 undergraduate hours. 3 or 4 graduate hours. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: ASRM 406, MATH 415, or MATH 416.
MATH 484: Nonlinear Programming Iterative and analytical solutions of constrained and unconstrained problems of optimization; gradient and conjugate gradient solution methods; Newton's method, Lagrange multipliers, duality and the Kuhn-Tucker theorem; and quadratic, convex, and geometric programming. 3 or 4 undergraduate hours. 3 or 4 graduate hours. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 241; MATH 314 or MATH 347; or equivalent; MATH 415 or equivalent; or consent of instructor.
MATH 487: Advanced Engineering Math Complex linear algebra, inner product spaces, Fourier transforms and analysis of boundary value problems, Sturm-Liouville theory. Same as ECE 493. 3 undergraduate hours. 3 or 4 graduate hours. Prerequisite: One of MATH 284, MATH 285, MATH 286, MATH 441.
MATH 489: Dynamics & Differential Eqns Studies mathematical theory of dynamical systems, emphasizing both discrete-time dynamics and nonlinear systems of differential equations. Topics include: chaos, fractals, attractors, bifurcations, with application to areas such as population biology, fluid dynamics and classical physics. Basic knowledge of matrix theory will be assumed. 3 or 4 undergraduate hours. 3 or 4 graduate hours. 4 hours of credit requires approval of the instructor and completion of additional work of substance. Prerequisite: One of MATH 284, MATH 285, MATH 286, MATH 441.
MATH 490: Advanced Topics in Mathematics Deals with selected topics and applications of mathematics; see Class Schedule or department office for current topics. 1 to 4 undergraduate hours. 1 to 4 graduate hours. May be repeated with approval. Prerequisite: Consent of instructor.
MATH 492: Undergraduate Research in Math Work closely with department faculty on a well-defined research project. Topics and nature of assistance vary. Capstone paper or computational project required. 1 to 3 undergraduate hours. No graduate credit. Approved for Letter and S/U grading. May be repeated in separate terms up to 8 hours. Prerequisite: Evidence of adequate preparation for such study; consent of faculty member supervising the work; and approval of the department head.
MATH 499: Introduction Graduate Research Seminar is required of all first-year graduate students in Mathematics. It provides a general introduction to the courses and research work in all of the areas of mathematics that are represented at the University of Illinois at Urbana-Champaign. 1 undergraduate hour. 1 graduate hour. Approved for S/U grading only. May be repeated to a maximum of 2 hours. Prerequisite: Graduate standing or consent of instructor.
MATH 500: Abstract Algebra I Isomorphism theorems for groups. Group actions. Composition series. Jordan-Holder theorem. Solvable and nilpotent groups. Field extensions. Algebraic and transcendental extensions. Algebraic closures. Fundamental theorem of Galois theory, and applications. Modules over commutative rings. Structure of finitely generated modules over a principal ideal domain. Applications to finite Abelian groups and matrix canonical forms. Prerequisite: MATH 417 and MATH 418.
MATH 502: Commutative Algebra Commutative rings and modules, prime ideals, localization, noetherian rings, primary decomposition, integral extensions and Noether normalization, the Nullstellensatz, dimension, flatness, Hensel's lemma, graded rings, Hilbert polynomial, valuations, regular rings, singularities, unique factorization, homological dimension, depth, completion. Possible further topics: smooth and etale extensions, ramification, Cohen-Macaulay modules, complete intersections. Prerequisite: MATH 501 or consent of instructor.
MATH 512: Modern Algebraic Geometry An introduction to the tools and ideas of contemporary algebraic geometry, with particular focus on the language of schemes. 4 graduate hours. No professional credit. Prerequisite: MATH 500, and one of MATH 510, MATH 511, or consent of instructor.
MATH 514: Complex Algebraic Geometry Hodge theory of complex manifolds; examples, applications, and topological invariants. 4 graduate hours. No professional credit. Credit is not given for MATH 514 if credit for MATH 524 has been earned. Prerequisite: MATH 448 or consent of instructor.
MATH 518: Differentiable Manifolds I Definitions and properties of differentiable manifolds and maps, (co)tangent bundles, vector fields and flows, Frobenius theorem, differential forms, exterior derivatives, integration and Stokes' theorem, DeRham cohomology, inverse function theorem, Sard's theorem, transversality and intersection theory. Prerequisite: MATH 423 or MATH 481, or consent of instructor.
MATH 526: Algebraic Topology II CW-complexes, relative homeomorphism theorem, cellular homology, cohomology, Kunneth theorem, Eilenberg-Zilber theorem, cup products, Poincare duality, examples. Prerequisite: MATH 525, MATH 500; or consent of instructor. MATH 501 is recommended but not required.
MATH 531: Analytic Theory of Numbers I Problems in number theory treated by methods of analysis; arithmetic functions, Dirichlet series, Riemann zeta function, L-functions, Dirichlet's theorem on primes in progressions, the prime number theorem. Prerequisite: MATH 448 and either MATH 417 or MATH 453.
MATH 535: General Topology Study of topological spaces and maps, including Cartesian products, identifications, connectedness, compactness, uniform spaces, and function spaces. Prerequisite: Consent of instructor.
MATH 540: Real Analysis Lebesgue measure on the real line; integration and differentiation of real valued functions of a real variable; and additional topics at discretion of instructor. Prerequisite: MATH 447 or equivalent.
MATH 542: Complex Variables I Topics include the Cauchy theory, harmonic functions, entire and meromorphic functions, and the Riemann mapping theorem. Prerequisite: MATH 446 and MATH 447, or MATH 448.
MATH 545: Harmonic Analysis Harmonic analysis on the circle, the line, and the integers, i.e., Fourier series and transforms; locally compact Abelian groups; convergence and summability; conjugate functions; Hardy spaces; uniqueness; Tauberian theorems; almost-periodic functions; commutative Banach algebras. Prerequisite: MATH 448 and MATH 541; knowledge of Banach spaces.
MATH 546: Hilbert Spaces Geometrical properties of Hilbert spaces, spectral theorems for compact, bounded and unbounded operators, basic theory of operator algebras, and additional material depending on the instructor. Prerequisite: MATH 541.
MATH 554: Linear Analysis and Partial Differential Equations Course will provide students with the basic background in linear analysis associated with partial differential equations. The specific topics chosen will be largely up to the instructor, but will cover such areas as linear partial differential operators, distribution theory and test functions, Fourier transforms, Sobolev spaces, pseudodifferential operators, microlocal analysis, and applications of the above topics. 4 graduate hours. No professional credit. Prerequisite: MATH 553 or consent of instructor.
MATH 558: Methods of Applied Mathematics Introduction to modern methods of applied mathematics, including nondimensionalization and scaling analysis, regular and singular asymptotics, analysis of multiscale systems, and analysis of complex systems. Each technique is illustrated with applications from science and engineering. The mathematical frameworks will include ordinary, partial and stochastic differential equations, point processes, and Markov chains. Prerequisite: Undergraduate background in ODEs, PDEs, and probability theory (MATH 441, MATH 442, and MATH 461, or equivalents), or consent of instructor.
MATH 562: Theory of Probability II Continuation of MATH 561. Same as STAT 552. Prerequisite: MATH 561.
MATH 563: Risk Modeling and Analysis Quantitative tools for measuring risks and modeling dependencies. Topics include risk measures, stochastic orders, copulas, dependence measures, and their statistical inferences. Same as STAT 558. 4 graduate hours. No professional credit. Prerequisite: MATH 408 or MATH 461.
MATH 564: Applied Stochastic Processes Introduction to topics such as spectral analysis, filtering theory, and prediction theory of stationary processes; Markov chains and Markov processes. Same as STAT 555. Prerequisite: MATH 446 and MATH 447.
MATH 580: Combinatorial Mathematics Fundamental results on core topics of combinatorial mathematics: classical enumeration, basic graph theory, extremal problems on finite sets, probabilistic methods, design theory, discrete optimization. Same as CS 571. Prerequisite: Consent of instructor.
MATH 582: Structure of Graphs Structure of graphs and properties of special classes of graphs. Degree sequences and reconstruction, structure of k-connected graphs, Hamiltonian cycles and circumference, planar graphs and their properties, graph minors, cycle coverings, matroidal and algebraic aspects of graphs. Prerequisite: MATH 580 or consent of instructor.
MATH 593: Mathematical Internship Full-time or part-time practice of graduate-level mathematics in an off-campus government, industrial, or research laboratory environment. Summary report required. 0 graduate credit. No professional credit. Approved for S/U grading only. May be repeated in separate terms.
MATH 595: Advanced Topics in Mathematics See Class Schedule for current topics. 1 to 4 graduate hours. No professional credit. May be repeated in the same or separate semesters. Prerequisite: Consent of instructor.
MATH 597: Reading Course Independent study in Mathematics. 1 to 8 graduate hours. No professional credit. Approved for Letter and S/U grading. May be repeated in the same or separate terms, with a maximum of 8 hours per semester. Prerequisite: Consent of instructor.
MATH 599: Thesis Research Approved for S/U grading only. May be repeated. Prerequisite: Consent of instructor.
MBA 530: Internship Approved for S/U grading only. May not be repeated for credit. Prerequisite: Completion of first year of Master of Business Administration program.
MBA 531: Special Projects Individual projects selected by the student in consultation with a faculty member and approved by the executive officer of the program. Approved for letter and S/U grading. May be repeated in the same or subsequent terms to a maximum of 12 hours. Prerequisite: Completion of first year of Master of Business Administration program.
MBA 543: Digital Media & Marketing Aims to give students ample understanding of the critical role of digital media as the delivery channels of marketing communication and the impacts of digital revolution in marketing and the rise of marketing technology industry, through interaction with the instructor, the content, and other students in the course. 4 graduate hours. No professional credit. Credit is not given for both MBA 543 and BADM 590, Digital Media & Marketing.
MBA 549: Multiculturalism in Management and the Marketplace With globalization, multiculturalism is on the rise. This cultural diversity impacts organizations, both in terms of management and in the marketplace. This course introduces the fundamentals of cross-cultural management by describing the impact of culture on interpersonal processes in organizations, discussing how culture shapes communication, decision-making, negotiation, leadership, and teamwork. Additionally, this course introduces the foundations for dealing with multiculturalism in the marketplace, discussing how culture impacts consumer behavior and how marketers can leverage these insights. 4 graduate hours. No professional credit.
MBA 553: Entrepreneurship: From Startup to Growth Will explore the earlier stages of the entrepreneurial venture process. The course modules will be focused on practical ideas and techniques that entrepreneurs can use to evaluate the potential of market opportunities and make decisions about whether to pursue them in a startup company. This course will also build on concepts, outline strategies, and tactics for forming, financing, and launching the new venture. Topics to be addressed will include developing a go-to market strategy, selecting appropriate revenue and pricing strategies, preparing financial models, raising startup and initial growth financing, and preparing for and managing growth. 4 graduate hours. No professional credit. Credit is not given for both MBA 553 and BADM 590, Entrepreneurship: From Startup to Growth.
MBA 561: Introduction to Business Analytics with R For businesses to capitalize on data analytics, they need leaders who understand the data analytic process. Even more valuable are leaders who know how to analyze big data. This course addresses the human skills gap by providing a foundational set of data analytic skills that can be applied to many business settings. You will gain first-hand experience with key steps of the data assembly process, as well as with tools for communicating data analytic results. Specifically, you will have the opportunity to install R, a popular data analytic language. You will also install and gain familiarity with RStudio, and integrated development environment (IDE), that makes it easier to code with R. You will also be introduced to notebooks and dashboards—powerful tools for communicating code and analytic results. Finally, you will get some practice executing some data manipulation tasks that are required before data can be analyzed with machine learning algorithms. 2 graduate hours. No professional credit. Credit is not given for both MBA 561 and BADM 590, section title "Introduction to Business Analytics: Data and the Firm".
MBA 562: Introduction to Business Analytics: Communicating with Data Introduces students to the science of business analytics while casting a keen eye toward the artful use of numbers found in the digital space. The goal is to provide businesses and managers with the foundation needed to apply data analytics to real-world challenges they confront daily in their professional lives. Students will learn to identify the ideal analytic tool for their specific needs; understand valid and reliable ways to collect, analyze, and visualize data; and utilize data in decision making for their agencies, organizations or clients. 2 graduate hours. No professional credit. Credit is not given for both MBA 562 and BADM 590, Introduction to Business Analytics: Communicating with Data.
MBA 563: Data Toolkit: Business Data Modeling & Predictive Analytics The ultimate goal for data analytics in business is to obtain actionable insight. In this course, you will learn to use several tools—including the most important tool, your mind--for processing business data to gain that insight. You will perform tasks including extracting, transforming and loading (ETL) data to conducting exploratory data analytics (EDA). You will also gain experience in finding patterns in the data by using machine learning (ML) algorithms. You will develop a conceptual foundation for why ML algorithms are useful and how the resulting models from those algorithms are used to find actionable insight related to business problems. In the end, you will be equipped with the skillset to evaluate when an algorithm should be used and the ability to run these algorithms with R and RStudio and communicate the results using notebooks. Completion of this course requires downloading and using certain software on specific operation systems; details can be found in the course syllabus. 4 graduate hours. No professional credit. Credit is not given for both MBA 563 and BADM 590, Data Toolkit: Business Data Modeling & Predictive Analytics.
MBA 590: Specialization Capstone This course covers various topics from each iMBA Specialization. Group projects and individual assignments will be required. Students are required to take 2 Specialization Capstones for their iMBA degree. Additional fees may apply. See Class Schedule. 0 graduate hours. No professional credit. Approved for S/U grading only. May be repeated if topics vary; student cannot take the same section more than once.
MBA 597: Program Foundations This is the first course of the University of Illinois iMBA degree and is taken concurrently with a student’s first course(s) during their iMBA program. Students will develop connections to the program and have a firm understanding of program and academic expectations upon course completion. These skills will then be applied to the iMBA coursework in order for students to be successful. 0 graduate hours. No professional credit. Approved for S/U grading only. Prerequisite: iMBA students are expected to enroll in this course during their first term in the program. Concurrent enrollment with other courses is expected. Limited to iMBA students in their first enrollment term.
MBA 598: Program Capstone This course is the final course of the University of Illinois iMBA degree and is designed to bridge the 'knowing – doing' gap, challenging students to apply their iMBA courses, work experience, industry acumen, business knowledge and skills. Students will work through a case study in which the deliverables for each module will build upon one another. The course culminates with the final case presentation. 0 graduate hours. No professional credit. Approved for S/U grading only. Prerequisite: iMBA students are expected to enroll in this course during their final term in the program. Concurrent enrollment with other courses is expected. Limited to iMBA students in their final enrollment term.
MCB 100: Introductory Microbiology Introduction to the principal activities and properties of microorganisms, including bacteria, yeasts, molds, and viruses; consideration of the role of natural processes, such as photosynthesis; and man's use and control of microorganisms in the production of antibodies and vaccines in industrial fermentations, in sanitation and public health, and in agriculture. Credit is not given for both MCB 100 and MCB 300. Prerequisite: There are no prerequisites for MCB 100, but some chemistry is recommended.