Courses
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| ANTH 504 Quantitative Methods for Anthropology View ANTH 504 in the UTK catalog (opens in a new window) | (3) | Fundamentals of research design and statistical methods (including standard parametric statistics and some of their nonparametric correlates) emphasizing anthropological applications and appropriate usage. Exploratory data sets will be provided to facilitate learning, and students may additionally provide their own data. | Science/Engineering Domain |
| ANTH 604 Bayesian Data Analysis for Natural and Social Sciences View ANTH 604 in the UTK catalog (opens in a new window) | (3) | Fundamentals of Bayesian modeling and multivariate statistical modeling. Natural and social science applications are emphasized, along with skills in critical evaluation of research conducted using statistical methods in these fields. While exploratory data sets will be provided, students are encouraged to supply their own research data to facilitate learning. Cross-listed: (Same as Ecology and Evolutionary Biology 614.) Registration Restriction(s): Minimum student level – graduate. Registration Permission: Students may enroll with courses equivalent to ANTH 504 and EEB 560 by instructor permission. Must have completed ANTH 504 or EEB 560 with at least a B. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| BCMB 401 Biochemistry I View BCMB 401 in the UTK catalog (opens in a new window) | (4) | First semester of a two-course sequence providing in-depth coverage of biochemistry and molecular biology. Covers amino acid structure and chemistry, protein structure and chemistry, protein folding, enzyme behavior and function, reaction mechanisms, catabolism and energy transfer, synthetic metabolism including photosynthesis, and protein transport. (DE) Prerequisite(s): Biology 240 and Chemistry 350, 360, and 369. | Science/Engineering Domain |
| BCMB 402 Biochemistry II View BCMB 402 in the UTK catalog (opens in a new window) | (4) | Second semester of a two-course sequence providing in-depth coverage of biochemistry and molecular biology. Covers structure of DNA and RNA, experimental methods of analyzing nucleic acids, mechanisms of RNA and protein synthesis, mechanisms of DNA replication, repair and recombination, chromosome structure and function, regulation of gene expression, genome structure and genomics, and mechanisms of biological regulation. (DE) Prerequisite(s): Biology 240 and Chemistry 350, 360, and 369. | Science/Engineering Domain |
| BCMB 510 Computational Structural Biochemistry View BCMB 510 in the UTK catalog (opens in a new window) | (1) | Introduction to computational tools, internet resources and databases for biological research to analyze and model protein structures and to study protein-ligand interactions. (DE) Corequisite(s): 511. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| BCMB 511 Advanced Protein Chemistry and Cellular Biology View BCMB 511 in the UTK catalog (opens in a new window) | (4) | Cellular structure and function at molecular and supramolecular level in progression: protein structure and function; membrane structure and function; bioenergetics and membrane proteins. (DE) Corequisite(s): 510. Recommended Background: Prior knowledge of cell biology and biochemistry. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| BCMB 512 Advanced Molecular Biology View BCMB 512 in the UTK catalog (opens in a new window) | (3) | Regulation of nucleic acid expression and protein activity. Nucleic acid structure and function; replication and repair of nucleic acids; gene expression; protein synthesis; post-translational protein modification; mitosis and meiosis; cell cycle and cell growth. (DE) Prerequisite(s): 511 or consent of instructor. | Science/Engineering Domain |
| BCMB 515 Experimental Techniques I View BCMB 515 in the UTK catalog (opens in a new window) | (3) | Introduction to modern experimental methodology and instrumentation in biochemistry, molecular biology and cell biology, including cell culture; spectrophotometry; microscopy; nucleic acid purification and analysis; protein assays; enzyme purification; electrophysiology; computer analysis of nucleic acid and protein sequences. Team-taught lecture/demonstration format. Repeatability: May be repeated. Maximum 6 hours. Comment(s): Primarily for departmental graduate students. | Science/Engineering Domain |
| BCMB 518 Biophysical Chemistry View BCMB 518 in the UTK catalog (opens in a new window) | (4) | Covers (1) thermodynamics; free energy; entropy and enthalpy; chemical equilibrium; solution chemistry; protein folding; DNA melting; protein-ligand association; phase transition; (2) enzymatics; protonation and electron transport. (3) Molecular Structure and Interaction (3a) Theory: Quantum theory, Duality principle, Wave Equation, Single atom model, (3b) Applications: Simulated Molecular Dynamics. Spectroscopy (UV-Vis, Raman, Fluorescence, Circular dichroism, NMR), X-ray diffraction and scattering. Recommended Background: Calculus. Comment(s): Intended for graduate students in the biochemistry and cellular and molecular biology (BCMB) graduate program, but also open to majors in other concentrations. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| BCMB 560 Advanced Concepts in Structural Biology/Biochemistry View BCMB 560 in the UTK catalog (opens in a new window) | (3) | Concepts related to structural biology/biochemistry with information taken from current literature. Predominantly lecture format with student participation. Specific subject area to be announced. Repeatability: May be repeated. Maximum 12 hours. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| BCMB 615 Special Topics in Biochemistry, Cellular, and Molecular Biology View BCMB 615 in the UTK catalog (opens in a new window) | (3) | Biochemical and biophysical methods, mechanisms of enzyme catalysis, gene expression, membrane structure and function, metabolic regulation, physical biochemistry, molecular genetics, cell ultrastructure and physiology, neurobiology, and related topics. Repeatability: May be repeated. Maximum 9 hours. (DE) Prerequisite(s): 511 and 512 or consent of instructor. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| CBE 506 Advanced Engineering Mathematics View CBE 506 in the UTK catalog (opens in a new window) | (3) | Formulation and solution of problems in chemical engineering and materials areas, ordinary and partial differential equations; types of ODE, PDE and solution techniques; transform methods; conformal mapping; variational methods; introduction to numerical methods. Cross-listed: (Formerly CBE 505. Same as MSE 506/510.) Same as MSE 506, MSE 510. | Science/Engineering Domain |
| CBE 547 Advanced Transport Phenomena View CBE 547 in the UTK catalog (opens in a new window) | (3) | Unified treatment of momentum transport (fluid flow), energy transport (heat conduction, convection, and radiation), and mass transport (diffusion). Fundamental basis of transport phenomena and momentum transport: viscous, viscoelastic, and potential flows. (Formerly CBE 548) | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| CE 538 Finite Element Applications in Geotechnical Engineering View CE 538 in the UTK catalog (opens in a new window) | (3) | Application of finite element method to typical problems in geotechnical engineering. Confined and unconfined flow through porous media; two-dimensional stress and strain; two-dimensional elements; representation of nonlinear soil behavior with elastic and elastic-plastic models. Taught concurrently with 561. Credit Restriction: Students may not receive credit for both 538 and 561. Recommended Background: Course work in soil behavior and matrix computation. | Science/Engineering Domain |
| CE 551 Traffic Engineering: Characteristics View CE 551 in the UTK catalog (opens in a new window) | (3) | Characteristics of human, vehicle, and roadway in transportation system; microscopic and macroscopic traffic models; elements of transportation/highway safety. | Science/Engineering Domain |
| CE 561 Finite Element Applications in Structural Engineering View CE 561 in the UTK catalog (opens in a new window) | (3) | Application of finite element method to typical problems in structural engineering. Truss, beam and plate elements; two-dimensional stress and strain; two-dimensional elements; representation of nonlinear material behavior with elastic and elastic-plastic models. Taught concurrently with 538. Credit Restriction: Students may not receive credit for both 561 and 538. Recommended Background: Structural analysis and matrix computation course. | Science/Engineering Domain |
| CE 595 Software Development for Research & Practice View CE 595 in the UTK catalog (opens in a new window) | (3) | Graduate students in engineering often face a significant challenge to develop software at an advanced level to support their thesis research or to prepare for a career in using/developing/supporting software for engineering practice/research. This course provides a much-needed bridge from the typical undergraduate use of computing in engineering (e.g. spreadsheet macros, simple Matlab and Mathematica scripts) to current approaches for development of modern research and production-scale software. Engineering students completing this course are also prepared to study parallel programming, graphics/visualization, databases, algorithms, etc. which assume a working knowledge and experience with abstract programming concepts in C++ and Python. Students in this course acquire specific knowledge and skills with object-oriented techniques in C++ sufficient to design, implement and test moderate-size programs for engineering computations. Students develop knowledge of modern computer hardware, parallel processing and operating systems (Linux, Windows, OS X) at a level to understand the impact and interaction with engineering application software. Credit restriction: IGMCS credit is limited to CE595: Software Development for Research & Practice. Other CE595 courses are not eligible unless stated otherwise. IGMCS credit limited to the "Software Development for Research & Practice" section; other CE 595 sections not eligible unless stated otherwise. | Science/Engineering Domain |
| CE 651 Analysis Techniques for Transportation Systems I View CE 651 in the UTK catalog (opens in a new window) | (3) | Topics on mathematical, statistical, operations research, or computer science techniques that may be applied to modeling and analysis of transportation systems. Registration Restriction(s): Minimum student level - graduate. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| CE 652 Analysis Techniques for Transportation Systems II View CE 652 in the UTK catalog (opens in a new window) | (3) | Advanced topics of application of mathematical, statistical and computer science techniques in modeling and analysis of transportation systems. (DE) Prerequisite(s): 651. Registration Restriction(s): Minimum student level - graduate. | Science/Engineering Domain |
| CE 661 Nonlinear Finite Element Methods View CE 661 in the UTK catalog (opens in a new window) | (3) | Theory and practice of nonlinear finite element methods focused on solid mechanics applications. Treatment of geometric nonlinear kinematics and inelastic material response. Development of linearized expressions for use in the Newton-Raphson algorithm. Programming of element and material subroutines. Cross-listed: (Same as: Mechanical Engineering 660 and Aerospace Engineering 660.) (DE) Prerequisite(s): CE 560 or equivalent; CE 538 or CE 561, or consent of instructor. Same as AE 660, ME 660. | Science/Engineering Domain |
| ENVE 561 Climate and Environmental Informatics View ENVE 561 in the UTK catalog (opens in a new window) | (3) | Introduction to applied time series, spatial statistics, and geographical data sciences for climate and the environmental applications with an emphasis on extreme events, regional analysis, uncertainty characterization and risk management. Case studies and class projects focused on integration of disparate data and analysis techniques to solve problems in climate change impacts. | Science/Engineering Domain |
| ENVE 572 Air Pollution Dispersion Modeling View ENVE 572 in the UTK catalog (opens in a new window) | (3) | Diffusion of air pollution in the atmosphere; application of USEPA computer models for atmospheric dispersion from industrial, area, mobile sources, and spills; evaluation of meteorological data and comparison of model predictions to ambient measurements; new source review and permitting requirements. Credit Restriction: Students cannot receive credit for both ENVE 572 and ENVE 672. (DE) Prerequisite(s): ENVE 574. | Science/Engineering Domain |
| ENVE 577 Air Pollution Climatology View ENVE 577 in the UTK catalog (opens in a new window) | (3) | Linkages between climate change and pollutant emissions, transport, transformation, and deposition. Both the impact of air quality on climate and the impact of climate on air quality will be examined using general circulation and meteorological models. Regional-scale effects of land utilization, incident radiation, climate perturbations and air quality parameters such as ozone, particulate matter, and greenhouse gases will be investigated. | Science/Engineering Domain |
| ENVE 595 Special Topics View ENVE 595 in the UTK catalog (opens in a new window) | (3) | Theory and practice of extreme events in climate change issues. The course will emphasize new development of climate studies. Students will learn critique extreme events articles and publications. The earth system models, GCMs, will be introduced and how to use its outputs to assess climate extreme effects. Global and regional climate modeling for impacts of extreme events based on IPCC CMIPS data availability and analysis of impacts of the climate extreme in large scale statistical and mathematical data analysis. The tools will be used such as empirical code, Data Mining, NCL, IDL, and Matlab. The Kraken and Newton machines are available for the data simulations and analyses. Hopefully students will have some accomplishment through this course, such as a draft for a conference and/or journal paper and useful findings. Same as ENVE 691. | Science/Engineering Domain |
| ENVE 674 Climate Effects in the Environment View ENVE 674 in the UTK catalog (opens in a new window) | (3) | Theory and practice of climate change issues. Will focus on new developments in climate studies such as climate impacts on crops, human health, and ecosystems. Will include reviewing and evaluating published literature about climate effects on the environment. The earth system model output data will be introduced and the course will cover how to use it to assess climate effects using statistical tools, AI/ML, and mathematics. Students will be trained to conduct research on climate impact on the environment. | Science/Engineering Domain |
| ENVE 691 Special Topics in Environmental Engineering View ENVE 691 in the UTK catalog (opens in a new window) | (3) | Selected advanced problems of current interest. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| CHEM 570 Quantum Chemistry and Spectroscopy View CHEM 570 in the UTK catalog (opens in a new window) | (3) | Basic principles of quantum mechanics and their applications to molecular orbital theory, molecular structure, and spectroscopy; introduction to group theory. Recommended Background: 2 semesters of physical chemistry. | Science/Engineering Domain |
| CHEM 572 Thermodynamics and Statistical Mechanics View CHEM 572 in the UTK catalog (opens in a new window) | (3) | Macroscopic and microscopic description of equilibrium systems. Basic principles of thermodynamics and statistical mechanics, and application to selected chemical systems. Recommended Background: 2 semesters of physical chemistry. | Science/Engineering Domain |
| CHEM 670 Special Topics in Physical Chemistry View CHEM 670 in the UTK catalog (opens in a new window) | (3) | Topics of current significance. At present, Coupled-Channel Methods for Quantum Dynamics is the only 670 topic approved. However, other topics may qualify. See the Chemistry Dept. liaison for more information. Repeatability: May be repeated. Maximum 12 hours. (DE) Prerequisite(s): 570, 572, and 573 or consent of instructor. Section offered in Fall of 2011 is not IGMCS eligible. Only the "Coupled-Channel Methods for Quantum Dynamics" topic is currently approved; the Fall 2011 section was not IGMCS eligible. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| DSE 511 Introduction to Data Science and Computing I View DSE 511 in the UTK catalog (opens in a new window) | (3) | Topics include: version control, scripting languages, relational and non-relational databases, proper use of data structures, introduction to data science work flows, introduction to project management, and applications. Registration Restriction(s): Minimum student level – graduate. | Computer/Information Science |
| DSE 512 Introduction to Data Science and Computing II View DSE 512 in the UTK catalog (opens in a new window) | (3) | Topics include: platforms for scalable computing including Map Reduce, Hadoop, Spark, and HPC, setting up computing in cloud, and modern data science work flows. Registration Restriction(s): Minimum student level – graduate. | Computer/Information Science |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| EEB 406 Models in Biology (Sec. 8) View EEB 406 in the UTK catalog (opens in a new window) | (3) | Difference and differential equation models of biological systems. Cross-listed: (Same as Mathematics 405.) (Formerly EEB 461.) (DE) Prerequisite(s): Math 142, 148, 152, or permission from instructor. Same as MATH 405. | Science/Engineering Domain |
| EEB 511 Core Evolution View EEB 511 in the UTK catalog (opens in a new window) | (3) | Readings, lectures, and discussion about key concepts in evolution. | Science/Engineering Domain |
| EEB 560 Biometry View EEB 560 in the UTK catalog (opens in a new window) | (3) | Statistical applications in biological research. Recommended: Statistics course. | Science/Engineering Domain |
| EEB 581 Mathematical Biology I View EEB 581 in the UTK catalog (opens in a new window) | (3) | Deterministic and stochastic models of populations, communities, and ecosystems. Cross-listed: (Same as Mathematics 581.) (DE) Prerequisite(s): MATH 431, 453, or permission from instructor. Same as MATH 581. | Science/Engineering Domain |
| EEB 582 Mathematical Biology II View EEB 582 in the UTK catalog (opens in a new window) | (3) | Continuation of 581. Cross-listed: (Same as Mathematics 582.) (DE) Prerequisite(s): 581 or permission from instructor. Same as MATH 582. | Science/Engineering Domain |
| EEB 610 Advanced Topics in Mathematical, Theoretical and Computational Ecology View EEB 610 in the UTK catalog (opens in a new window) | (1–3) | Exposure and in-depth training in contemporary topics and approaches important to advanced research in mathematical, theoretical, and computational ecology. Consult departmental listing for offerings. Repeatability: May be repeated with consent of department. Maximum 9 hours. | Science/Engineering Domain |
| EEB 681 Advanced Topics in Mathematical Biology I View EEB 681 in the UTK catalog (opens in a new window) | (3) | Selected topics in theoretical and applied mathematical biology: including modeling of cell biology, ecology, evolution, disease dynamics, behavioral science, and the connection to experimental and field data from the life sciences. Cross-listed: (Same as Mathematics 681.) Repeatability: May be repeated. Maximum 6 hours. (RE) Prerequisite(s): MATH 581 or MATH 582 or MATH 682 Same as MATH 681. | Science/Engineering Domain |
| EEB 683 Advanced Topics in Mathematical Biology II View EEB 683 in the UTK catalog (opens in a new window) | (3) | Selected topics in modeling in mathematical biology: including ecology, evolution, epidemiology, network dynamics, social science, and techniques of parameter estimation using data from the life sciences. Cross-listed: (Same as Mathematics 682.) Repeatability: May be repeated. Maximum 6 hours. (RE) Prerequisite(s): MATH 581 or MATH 582 or MATH 681 | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| COSC 462 Parallel Programming View COSC 462 in the UTK catalog (opens in a new window) | (3) | Principles and practice of parallel computing; design, implementation, and evaluation of parallel programs for shared and distributed memory architectures, and vector processors. Sample topics include models of parallel computers, basic communication operations, performance and scalability of parallel systems, and programming techniques including multi-threading and message passing. (RE) Prerequisite(s): COSC 360 or COSC 367 with a grade of C or better. | Computer/Information Science |
| COSC 471 Numerical Analysis View COSC 471 in the UTK catalog (opens in a new window) | (3) | See MATH 471 Same as MATH 471. | Computer/Information Science |
| COSC 472 Numerical Algebra View COSC 472 in the UTK catalog (opens in a new window) | (3) | See MATH 472 Same as MATH 472. | Computer/Information Science |
| COSC 505 Introduction to Programming for Scientists and Engineers View COSC 505 in the UTK catalog (opens in a new window) | (3) | Introduce programming and computational science and engineering to graduate students in the sciences and engineering. Problem solving and algorithm development. Might use various programming languages such as C++, Python or others as needed. Comment(s): EECS majors cannot use course to meet degree requirements. Registration Restriction(s): Minimum student level – graduate. | Computer/Information Science |
| COSC 522 Machine Learning View COSC 522 in the UTK catalog (opens in a new window) | (3) | Theoretical and practical aspects of machine learning techniques related to pattern recognition. Statistical methods studied include Bayesian and linear classifiers, support vector machines, neural networks, and unsupervised learning. Syntactic methods include grammatical inference, string matching and Markov chains. Ensemble methods include random forests, adaptive boosting, and classifier fusion. Recommended Background: Programming, probability theory, linear algebra. | Computer/Information Science |
| COSC 523 Artificial Intelligence View COSC 523 in the UTK catalog (opens in a new window) | (3) | Theoretical and applied aspects of artificial intelligence. Course topics include problem solving and search, knowledge representation and reasoning, decision-making under uncertainty, machine learning, and multi-agent systems. Recommended Background: Programming, data structures and algorithms, linear algebra, probability theory. | Computer/Information Science |
| COSC 524 Natural Language Processing View COSC 524 in the UTK catalog (opens in a new window) | (3) | Presents natural language processing (NLP) theory and methods available for reasoning about text in computational systems. NLP is deeply interdisciplinary, drawing on linguistics, artificial intelligence, and computer science, and enables numerous applications of computational text analysis. Will cover major algorithms used in NLP, common applications of NLP, and the underlying linguistic and human reasoning phenomena NLP systems attempt to model. Recommended Background: Python Programming. | Computer/Information Science |
| COSC 525 Deep Learning View COSC 525 in the UTK catalog (opens in a new window) | (3) | Theoretical and practical aspects of how to build deep networks for representations of high-dimensional data. Deep models for both supervised and unsupervised learning will be discussed, including convolutional neural network, autoencoder, generative adversarial network, and recurrent neural network. Recommended Background: Machine Learning and Python Programming Language. | Computer/Information Science |
| COSC 526 Data Engineering View COSC 526 in the UTK catalog (opens in a new window) | (3) | Provides a practical introduction to big data mining and analytics, blending theory and practice. Over the course of the semester, students will become familiar with modern data science methods, gain comfort with the tools of the trade, explore real-world data sets, and leverage the power of high performance and cloud resources to extract insights from data. Upon completing the course, students will learn how to create reproducible and explanatory data science workflows, how to implement a modern MapReduce, and how to implement parallel clustering methods. Students will also study strategies for overcoming the common imperfections in real-world datasets, and apply their new skills to extract insights from a high-dimensional dataset. Recommended Background: Python Programming. | Computer/Information Science |
| COSC 527 Biologically Inspired Computation View COSC 527 in the UTK catalog (opens in a new window) | (3) | Recent developments in computational methods inspired by nature, such as neural networks, genetic algorithms, evolutionary programming, ant-swarm optimization, artificial immune systems, swarm intelligence, cellular automata, multi-agent systems, cooperation, and competition. | Computer/Information Science |
| COSC 530 Computer Systems Organization View COSC 530 in the UTK catalog (opens in a new window) | (3) | An exploration of the central issues in computer architecture: instruction set principles and design, memory hierarchies (cache and main memories, mass storage, virtual memory) and design, pipelining, instruction-level parallelism, bus organization, RISC (Reduced Instruction Set Computers), CISC (Complex Instruction Set Computers), multiprocessors, implementation issues, technology trends, architecture modeling and simulation. Recommended Background: Course work in architecture or machine organization. | Computer/Information Science |
| COSC 533 Cloud and Web Architectures View COSC 533 in the UTK catalog (opens in a new window) | (3) | An in-depth study on the principles of designing and developing applications in the context of the Internet and the web. Includes an overview of web protocols, the client-server architecture paradigm, and software components that underlie the two of them. Related topics are also covered, including security, synchronization, interactivity, and advanced web architectures. Recommended Background: Undergraduate coursework in computer interfaces and operating systems. | Computer/Information Science |
| COSC 545 Fundamentals of Digital Archeology View COSC 545 in the UTK catalog (opens in a new window) | (3) | An advanced topic course focused on developing multi-disciplinary skills of discovering, retrieving, analyzing, and presenting operational data. Students will use critical thinking and intense practice solving real-world problems to recognize and address key operational issues: the lack of context, missing observations, and incorrect values. At the end of the course students will be able to discover operational data, to retrieve and store it, to recover context, to estimate the impact of missing events, to identify unreliable or incorrect values, and to present the results. Hands-on assignments will be given, requiring demonstration, presentation and report writing. Credit Restriction: Students cannot receive credit for both 445 and 545. Recommended Background: 340, 370, Electrical and Computer Engineering 313. | Computer/Information Science |
| COSC 557 Visualization View COSC 557 in the UTK catalog (opens in a new window) | (3) | Graphical techniques to reveal intrinsic properties in data, acquired or computationally-simulated, from various scientific, medical and engineering applications. Topics may include visual perception, structure and storage of high-dimensional data (structured and unstructured), visualization of scalar fields, vector fields, tensor fields, or other complex quantities, time-varying data, advanced light transport (single-scattering and multiple-scattering), transfer functions, graphs and manifolds, level sets, interpolation, hierarchical and parallel acceleration methods. The design and use of leading production visualization packages will also be covered. Recommended Background: 556. | Computer/Information Science |
| COSC 565 Databases and Scripting Languages View COSC 565 in the UTK catalog (opens in a new window) | (3) | Introduction to database theory, models, and query formation. Survey of scripting languages, their uses, and their interconnectivity with databases. Recommended Background: 302. | Computer/Information Science |
| COSC 571 Numerical Mathematics I View COSC 571 in the UTK catalog (opens in a new window) | (3) | See Math 571. Same as MATH 571. | Computer/Information Science |
| COSC 594 Special Topics View COSC 594 in the UTK catalog (opens in a new window) | (3) | Special Topics classes may be eligible with permission from IGMCS program chair Special Topics classes may be eligible with permission from the IGMCS program chair. | Computer/Information Science |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| EEPS 425 Data Analysis for Geoscientists View EEPS 425 in the UTK catalog (opens in a new window) | (3) | (formerly GEOL 425) Overview of sampling schemes, data analysis, and statistical methods as applicable to Earth sciences. Recommended Background: Introductory geology and introductory calculus, or consent of instructor. | Science/Engineering Domain |
| EEPS 524 GIS for Geoscientists View EEPS 524 in the UTK catalog (opens in a new window) | (3) | (formerly GEOL 524) Introduction to Geographic Information Systems (GIS), which are computer systems for input, storage, manipulation, and display of data georeferenced to the surface of the Earth or other planetary bodies. Participants will become familiar with a GIS software package, learn fundamental concepts of mapping and data manipulation, and will design and execute a GIS project in their own area of geologic interest. | Science/Engineering Domain |
| EEPS 525 Data Analysis for Geoscientists View EEPS 525 in the UTK catalog (opens in a new window) | (3) | (formerly GEOL 525) Overview of sampling schemes, data analysis, and statistical methods as applicable to earth sciences. Recommended Background: Introductory geology and introductory calculus. | Science/Engineering Domain |
| EEPS 539 Geologic Applications of Remote Sensing View EEPS 539 in the UTK catalog (opens in a new window) | (3) | (formerly GEOL 539) An introduction to the use of visible, infrared, microwave/radio, and nuclear remote sensing techniques in the geologic study of the Earth. Topics covered include mineral spectroscopy, light scattering models, instrumentation for remote sensing, calibration and atmospheric removal, multi- and hyperspectral image cube analysis, and ground-truthing techniques. Emphasis on working directly with remote sensing data to solve geologic problems. Contact Hour Distribution: 2 hours lecture and one 2-hour lab. Recommended Background: Mineralogy, calculus and physics or consent of instructor. | Science/Engineering Domain |
| EEPS 590 Special Problems in Geology View EEPS 590 in the UTK catalog (opens in a new window) | (1–3) | (formerly GEOL 590) Student- or instructor-initiated course offered at the convenience of the department, with focus on specialized topics in the geological sciences. Repeatability: May be repeated. Maximum 12 hours. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| EEPS 675 Seminar in Geophysics View EEPS 675 in the UTK catalog (opens in a new window) | (3) | (formerly GEOL 675) Advanced treatment of selected topics in geophysics. Repeatability: May be repeated. Maximum 9 hours. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| EEPS 685 Seminar in Hydrogeology View EEPS 685 in the UTK catalog (opens in a new window) | (3) | (formerly GEOL 685) Repeatability: May be repeated. Maximum 9 hours. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| GEOG 411 Intermediate Geographic Information Science View GEOG 411 in the UTK catalog (opens in a new window) | (3) | Concepts and methods of spatial analysis and their application using geographic information systems software and techniques. Emphasizes both theoretical and applied aspects of GIS. Contact Hour Distribution: 2 hours lecture and 2 hours lab. (DE) Prerequisite(s): 310 or consent of instructor. | Science/Engineering Domain |
| GEOG 414 Spatial Data Management View GEOG 414 in the UTK catalog (opens in a new window) | (3) | Types, sources, acquisition, and documentation of spatial data. Spatial database management methods and strategies for data sharing. Contact Hour Distribution: 2 hours lecture and 2 hours lab. (RE) Prerequisite(s): 411. | Science/Engineering Domain |
| GEOG 510 Geographic Software Design View GEOG 510 in the UTK catalog (opens in a new window) | (3) | Algorithms for spatial analysis, software design, and program implementation in stand alone and distributed computing environments. Repeatability: May be repeated. Maximum 6 hours. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| GEOG 512 Environmental Modeling and Geospatial Analysis View GEOG 512 in the UTK catalog (opens in a new window) | (3) | Geographic applications in environmental modeling and geospatial analysis. Topics include but are not limited to: modeling concepts, frameworks and approaches; Geographic Information Science (GIS) for modeling; spatial decision support systems and environmental modeling; modeling human-environmental systems; and dynamic systems modeling. Repeatability: May be repeated with consent of instructor. Maximum 6 hours. (DE) Prerequisite(s): 411. | Science/Engineering Domain |
| GEOG 515 Topics in Quantitative Geography View GEOG 515 in the UTK catalog (opens in a new window) | (4) | Multivariate analysis applied to spatial and temporal problems in geography; research problems utilizing appropriate computer programs; usefulness to geographic research of techniques developed by other disciplines. Contact Hour Distribution: 3 hours lecture and 2 hours lab per week. Repeatability: May be repeated with consent of instructor. Maximum 8 hours. Recommended Background: 415 or consent of instructor. | Science/Engineering Domain |
| GEOG 517 Database Design for Spatial Data Science View GEOG 517 in the UTK catalog (opens in a new window) | (3) | Concepts and methods of database design and creation for geographic information systems and spatial data science. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| GEOG 520 Geovisualization and Geographic Information for Researchers and Professionals View GEOG 520 in the UTK catalog (opens in a new window) | (3) | GEOG 520 is equivalent to GEOG 411 for non-geography graduate students. Since GEOG 411 is included in the list of courses for IGMCS, GEOG 520 can be used to fulfill the IGMCS requirement as far as you do not also use GEOG 411 for the IGMCS requirement. Equivalent to GEOG 411; counts toward IGMCS only if GEOG 411 is not also used. | Science/Engineering Domain |
| GEOG 611 Seminar in Geographic Information Science View GEOG 611 in the UTK catalog (opens in a new window) | (3) | Repeatability: May be repeated. Maximum 6 hours. (DE) Prerequisite(s): 517 and 518 or consent of instructor. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| LFSC 507 Programming for Biological Data Analysis View LFSC 507 in the UTK catalog (opens in a new window) | (3) | Topics to be covered include the application of computing, modeling, data analysis, and information technology to fundamental problems in the life sciences. Repeatability: May be repeated. Maximum 12 hours. | Science/Engineering Domain |
| LFSC 510 Special Topics in Life Sciences View LFSC 510 in the UTK catalog (opens in a new window) | (1–3) | Specializations in biotechnology; cellular, molecular, and developmental biology; environmental toxicology; ethology; plant, physiology and genetics; and physiology. Repeatability: May be repeated. Maximum 9 hours. | Science/Engineering Domain |
| LFSC 517 Genomics and Bioinformatics View LFSC 517 in the UTK catalog (opens in a new window) | (3) | This course covers molecular evolution and comparative genomics. Computational approaches are a cornerstone of this field. It is taught by computational biologist Dr. Igor Zhulin. | Science/Engineering Domain |
| LFSC 520 Genome Science and Technology I View LFSC 520 in the UTK catalog (opens in a new window) | (4) | Overview of genomics, advanced genetics principles. Either LFSC 520 or LFSC 521, but not both, may be counted toward the IGMCS. Either LFSC 520 or LFSC 521 may be counted toward the IGMCS, but not both. | Science/Engineering Domain |
| LFSC 521 Genome Science and Technology II View LFSC 521 in the UTK catalog (opens in a new window) | (4) | Analytical technologies and special techniques. Either LFSC 520 or LFSC 521, but not both, may be counted toward the IGMCS. Either LFSC 520 or LFSC 521 may be counted toward the IGMCS, but not both. | Science/Engineering Domain |
| LFSC 595 Special Topics in Genome Science and Technology View LFSC 595 in the UTK catalog (opens in a new window) | (1–3) | Tutorials or lectures in variety of special topics to be chosen by instructor. Eligible sections include: A Survey of Biology for Computational Researchers. Repeatability: May be repeated. Maximum 12 hours. Eligible sections include: A Survey of Biology for Computational Researchers. | Science/Engineering Domain |
| LFSC 596 Special Topics in Genome Science and Technology View LFSC 596 in the UTK catalog (opens in a new window) | (1–3) | Tutorials or lectures in variety of special topics to be chosen by instructor. Repeatability: May be repeated. Maximum 12 hours. | Science/Engineering Domain |
| LFSC 695 Advanced Topics in Genome Science and Technology View LFSC 695 in the UTK catalog (opens in a new window) | (1–3) | Tutorials or lectures on variety of advanced topics to be chosen by instructor. Repeatability: May be repeated. Maximum 12 hours. | Science/Engineering Domain |
| LFSC 696 Advanced Topics in Genome Science and Technology View LFSC 696 in the UTK catalog (opens in a new window) | (1–3) | Tutorials or lectures on variety of advanced topics to be chosen by instructor. Repeatability: May be repeated. Maximum 12 hours. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| INSC 565 Digital Libraries View INSC 565 in the UTK catalog (opens in a new window) | (3) | Technological and social aspects of electronic publishing and digital libraries. Technologies and standards that enable electronic publishing and digital libraries. History of electronic publishing and digital libraries and their impact on user needs and information provision. Note: This course is also available online for distance education students. Contact the Information Sciences liaison for more information. Offered every spring semester. | Computer/Information Science |
| INSC 584 Database Management Systems View INSC 584 in the UTK catalog (opens in a new window) | (3) | Defining data needs, data structures, role of operating systems in data management, file organization, database management systems, logical data models, internal data models, database administration and evaluation. Design and implementation of application using database management system. Note: This course is also available online for distance education students. Contact the Information Sciences liaison for more information. Offered every fall semester. | Computer/Information Science |
| INSC 588 Human-Computer Interaction View INSC 588 in the UTK catalog (opens in a new window) | (3) | Survey of human-computer interaction and introduction to human and technological factors of importance to design of usable information systems. Basic phenomena of human perception, cognition, memory, and problem solving, and relationship to user-centered design. Methods and techniques for interaction design and evaluation. Note: This course is also available online for distance education students. Contact the Information Sciences liaison for more information. Offered every spring semester. | Computer/Information Science |
| INSC 592 Introduction to Data Analytics View INSC 592 in the UTK catalog (opens in a new window) | (3) | Concepts of big data and data analytics in settings such as academia, organizations, the sciences, and on the web. Basic concepts and process of data analytics, and data mining techniques and skills (ETL). Designing effective information visualizations. (RE) Prerequisite(s): 584 or instructor’s consent. Registration Restriction(s): Minimum student level – graduate. | Computer/Information Science |
| INSC 594 Graduate Research Participation View INSC 594 in the UTK catalog (opens in a new window) | (3) | Advanced research techniques under supervision of staff research director whose area coincides with interests of student. Grading Restriction: Satisfactory/No Credit grading only. Repeatability: May be repeated. Maximum 6 hours. Registration Permission: Consent of advisor and research director. Note: Credit towards IGMCS requires prior approval from the IGMCS liaison. Note: This course is also available online for distance education students. Contact the Information Sciences liaison for more information. IGMCS credit requires prior approval from the IGMCS liaison. | Computer/Information Science |
| INSC 599 Practicum View INSC 599 in the UTK catalog (opens in a new window) | (3–6) | Opportunity to translate theory into practice under guidance of qualified information professionals. Grading Restriction: Satisfactory/No Credit grading only. Repeatability: May be repeated. Maximum 6 hours. Recommended Background: Completion of core and pertinent advanced courses relevant to student's practicum design. Comment(s): 3.0 GPA required. Registration Permission: Consent of advisor and approval of practicum coordinator. Note: This course is also available online for distance education students. Contact the Information Sciences liaison for more information. | Computer/Information Science |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| IE 602 Nonlinear Optimization View IE 602 in the UTK catalog (opens in a new window) | (3) | Kuhn-Tucker theory in nonlinear programming, solution procedures for constrained and unconstrained nonlinear programs, search techniques, quadratic programming, duality and sensitivity analysis. Cross-listed: Management Science 651 Same as MGSC 651. | Science/Engineering Domain |
| IE 604 Network Flow Optimization View IE 604 in the UTK catalog (opens in a new window) | (3) | Fundamental theory, algorithms, and applications of deterministic network-flow models, and analytical procedures for a special class of stochastic networks (GERT networks). Linear programming and its relationship to network analysis. Algorithms for various kinds of shortest and k-shortest path models. Labeling procedures for maximal flows in capacitated networks. The Out-Of-Kilter algorithm for cost minimization flow models. Primal Simplex network optimization procedures for pure and generalized networks. Traveling-Salesman problem algorithms with extensions to multiple salesmen. CPM, PERT and network-flow models in project management. Introduction to multi-commodity networks. Extensive use of network optimization software. (DE) Prerequisite(s): 522. Registration Restriction(s): Minimum student level – graduate. | Science/Engineering Domain |
| IE 609 Stochastic Programming View IE 609 in the UTK catalog (opens in a new window) | (3) | Topics include modeling of uncertainty, two-stage stochastic programs, the value of information, Benders decomposition, L-shaped method, stochastic integer programs and multistage stochastic programs. | Science/Engineering Domain |
| IE 610 Heuristics in Optimization View IE 610 in the UTK catalog (opens in a new window) | (3) | Heuristic methods and their applications to optimization problems, including neighborhood search and major meta-heuristics methods. | Science/Engineering Domain |
| IE 611 Integer Programming View IE 611 in the UTK catalog (opens in a new window) | (3) | Theoretical foundations of Integer Programming and its application to optimization problems, including branch-and-bound, cutting planes, polyhedral analysis, and complexity. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| AE 504 Introduction to Uncertainty Quantification View AE 504 in the UTK catalog (opens in a new window) | (3) | Provides a foundational knowledge of uncertainty and propagation, quantification methodologies. It consists of 2 modules: I: Probability Concepts, Basic Statistical Operations, and Set Operations and II: Probabilistic UQ Methods with introduction to non-Probabilistic Methods. Cross-listed: (Same as Biomedical Engineering 504 and Mechanical Engineering 504.) Same as AE 504, ME 504. | Science/Engineering Domain |
| AE 599 Introduction to Computational Aerodynamics View AE 599 in the UTK catalog (opens in a new window) | (3) | This course will provide an introduction to computational aerodynamics with a focus on commonly used computational fluid dynamics (CFD) approaches. The theoretical bases of these methods, which generally place an emphasis on the solution of inviscid and/or high-Reynolds number flow fields, will be presented and augmented through application-oriented activities using a CFD solver. Special topics course: must be "Introduction to Computational Aerodynamics." Repeatability: May be repeated. Maximum 6 hours. Only the "Introduction to Computational Aerodynamics" special-topics section counts toward IGMCS. | Science/Engineering Domain |
| AE 617 Discontinuous Galerkin Finite Element Methods View AE 617 in the UTK catalog (opens in a new window) | (3) | Comparison and conventional and discontinuous Galerkin (DG) methods; Interior penalty method; Concept of numerical flux; DG formulation of elliptic PDEs: Weighted residual statement and overview of numerical fluxes; Relation between DG and interior penalty methods; Parabolic PDEs: DG formulation and keys to the stability of the method, numerical fluxes; Hyperbolic PDEs: Systems of conservation laws and Rankine-Hugoniot jump conditions; Riemann solutions and numerical fluxes for linear and nonlinear hyperbolic PDEs; Transmitting boundary conditions; Spacetime discontinuous Galerkin methods; Object-oriented design and implementation for DG methods. Cross-listed: (Same as: Mechanical Engineering 617.) Same as AE 617. | Science/Engineering Domain |
| ME 517 Finite Elements for Engineering Applications View ME 517 in the UTK catalog (opens in a new window) | (3) | Modern computational theory applied to conservation principles across the engineering sciences. Weak forms, extremization, boundary conditions, discrete implementation via finite element, finite difference, finite volume methods. Asymptotic error estimates, accuracy, convergence, stability. Linear problem applications in 1, 2 and 3 dimensions, extensions to non-linearity, non-smooth data, unsteady, spectral analysis techniques, coupled equation systems. Computer projects in heat transfer, structural mechanics, mechanical vibrations, fluid mechanics, heat/mass transport. Cross-listed: (Same as Aerospace Engineering 517.) Comment(s): Bachelor’s degree in engineering or natural science required. Registration Permission: Consent of instructor. Same as AE 517. | Science/Engineering Domain |
| ME 518 Computational Fluid Dynamics View ME 518 in the UTK catalog (opens in a new window) | (3) | Finite difference and finite volume techniques for solving compressible and incompressible fluid flow problems. Classification of partial differential equations and their discrete approximations. Explicit and Implicit techniques for solving unsteady Euler and Navier-Stokes equations including finite volume and finite difference formulations. Formulation of boundary conditions, artificial viscosity and multigrid acceleration. Stability analysis and convergence. Grid generation. Cross-listed: (Same as Aerospace Engineering 518; Biomedical Engineering 518.) Same as AE 518, BME 518. | Science/Engineering Domain |
| ME 525 Combustion and Chemically Reacting Flows I View ME 525 in the UTK catalog (opens in a new window) | (3) | Fundamentals: thermochemistry, chemical kinetics and conservation equations; phenomenological approach to laminar flames; diffusion and premixed flame theory; single droplet combustion; deflagration and detonation theory; stabilization of combustion waves in laminar streams; flammability limits of premixed laminar flames; introduction to turbulent flames. (DE) Prerequisite(s): 522 and 541 or consent of instructor. | Science/Engineering Domain |
| ME 570 Numerical Methods for Engineers View ME 570 in the UTK catalog (opens in a new window) | (3) | Review and implementation of basic numerical techniques. Explicit and implicit solution techniques of ordinary differential equations and partial differential equations. Applications include heat transfer and fluid mechanics. (Formerly AE 599). Recommended Background: Numerical analysis, fluid mechanics, heat transfer and differential equations. Registration Permission: Consent of Instructor. | Science/Engineering Domain |
| ME 599 Special Topic: Advanced Manufacturing Processes View ME 599 in the UTK catalog (opens in a new window) | (3) | Manufacturing can be loosely divided into those activities carried out by the production engineer and those completed by the industrial engineer. The production engineer is primarily concerned with machines and processes required to produce the desired part(s), while the industrial engineer handles the necessary management and organization activities. In this course, we will focus on the production engineering aspects of manufacturing. | Science/Engineering Domain |
| ME 655 Advanced Topics in Computational Fluid Dynamics View ME 655 in the UTK catalog (opens in a new window) | (3) | Modern approximation theory for Euler and Navier-Stokes conservation systems, compressible flow, hyperbolic forms, boundary conditions. Weak forms, extremization, finite element/finite volume/flux vector discrete implementations, a priori error estimates, accuracy, convergence, stability. Numerical linear algebra, approximate factorization, sparse matrix methods. Dissipation, Fourier spectral analysis, smooth and non-smooth solutions. Cross-listed: (Same as Aerospace Engineering 655.) Same as AE 655. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| MATH 405 Models in Biology View MATH 405 in the UTK catalog (opens in a new window) | (3) | Difference and differential equation models of biological systems. Credit Restriction: May not be applied toward graduate degree in Mathematics. (DE) Prerequisite(s): 142 or 148 or 152. | Mathematics/Statistics |
| MATH 411 Mathematical Modeling View MATH 411 in the UTK catalog (opens in a new window) | (3) | Construction and analysis of mathematical models used in science and industry. Projects emphasized. Recommended Background: Courses in differential equations and linear algebra. | Mathematics/Statistics |
| MATH 424 Stochastic Processes View MATH 424 in the UTK catalog (opens in a new window) | (3) | Markov chains, Poisson processes and Brownian motion. Other topics as selected by instructor. (DE) Prerequisite(s): 423. | Mathematics/Statistics |
| MATH 453 Linear Algebra II View MATH 453 in the UTK catalog (opens in a new window) | (3) | Advanced topics in linear algebra, including inner product spaces, orthogonality, adjoint operators, Jordan canonical form, and the spectral theorem. (RE) Prerequisite(s): MATH 200 or MATH 251 or MATH 257. | Mathematics/Statistics |
| MATH 471 Numerical Analysis View MATH 471 in the UTK catalog (opens in a new window) | (3) | Introduction to computation, instabilities, and rounding. Interpolation and approximation by polynomials and piecewise polynomials. Quadrature and numerical solution of initial and boundary value problems of ordinary differential equations, stiff systems. Cross-listed: (Same as Computer Science 471.) Recommended Background: Course in basic numerical methods. Same as COSC 471. | Mathematics/Statistics |
| MATH 472 Numerical Algebra View MATH 472 in the UTK catalog (opens in a new window) | (3) | Direct and iterative methods for systems of linear equations. Solution of single nonlinear equation and nonlinear systems. Orthogonal decomposition, least squares and algebraic eigenvalue problem. Cross-listed: (Same as Computer Science 472.) Recommended Background: Course in basic numerical methods and linear algebra. Same as COSC 472. | Mathematics/Statistics |
| MATH 515 Analytical Applied Mathematics I View MATH 515 in the UTK catalog (opens in a new window) | (3) | Analysis of advanced techniques in modern context for applied problems: dimensional analysis and scaling, perturbation theory, variational approaches, transform theory, wave phenomena and conservation laws, stability and bifurcation, distributions, integral equations. Recommended Background: Courses in advanced calculus, linear algebra, and either advanced differential equations or 512. | Mathematics/Statistics |
| MATH 517 Mathematical Methods in Physics I View MATH 517 in the UTK catalog (opens in a new window) | (3) | Cross-listed: (See Physics 571.) Same as PHYS 571. | Mathematics/Statistics |
| MATH 518 Industrial Mathematics View MATH 518 in the UTK catalog (opens in a new window) | (3) | Modeling, analysis, and computation applied to scientific/technical/industrial problems. The course will be centered around several modules, each motivated by a type of mathematical problem frequently occurring in industry. Recommended Background: Undergraduate courses in differential equations, linear/matrix algebra, and experience with programming. | Mathematics/Statistics |
| MATH 525 Statistics I View MATH 525 in the UTK catalog (opens in a new window) | (3) | Formulation of statistical models, sufficiency; methods of estimation and optimal theory, asymptotic efficiency; the confidence procedures and hypothesis testing, uniformly most powerful tests; Bayesian statistics. Recommended Background: One year of advanced calculus and 425. | Mathematics/Statistics |
| MATH 526 Statistics II View MATH 526 in the UTK catalog (opens in a new window) | (3) | Continuation of 525. Estimation and tests in general linear models; non-parametric models, rank methods for comparison, robust tests. Other topics as selected by instructor. (DE) Prerequisite(s): 525. | Mathematics/Statistics |
| MATH 527 Stochastic Modeling View MATH 527 in the UTK catalog (opens in a new window) | (3) | Variable topics in probability applied to real world situations. Topics may include queuing theory, branching processes, Monte Carlo simulation, stochastic finance and other topics as selected by instructor. Recommended Background: One year of advanced calculus and one year of undergraduate probability or mathematical statistics. | Mathematics/Statistics |
| MATH 537 Mathematical Principles of Continuum Mechanics I View MATH 537 in the UTK catalog (opens in a new window) | (3) | Conservation principles, equations of equilibrium and motion for fluids and elastic solids, constitutive relations and stress, convexity properties, bifurcation phenomena, existence theory. Recommended Background: Courses in advanced calculus and advanced differential equations. | Mathematics/Statistics |
| MATH 571 Numerical Analysis I View MATH 571 in the UTK catalog (opens in a new window) | (3) | Direct and iterative methods for linear systems. The linear least squares problem. The algebraic eigenvalue problem and the singular value decomposition theorem. Newton and quasi-Newton methods for systems of nonlinear equations. Cross-listed: (Same as Computer Science 571.) Recommended Background: Courses in advanced calculus, linear algebra, and basic numerical analysis. Same as COSC 571. | Mathematics/Statistics |
| MATH 572 Numerical Analysis II View MATH 572 in the UTK catalog (opens in a new window) | (3) | Numerical techniques for initial value problems of ordinary differential equations. Two-point boundary value problems. Finite difference and finite element methods for selected partial differential equations. Fourier spectral and pseudo spectral methods. Fast Poisson solvers. (RE) Prerequisite(s): 571 Same as COSC 572. | Mathematics/Statistics |
| MATH 577 Optimization View MATH 577 in the UTK catalog (opens in a new window) | (3) | Mathematical foundations of constrained and unconstrained optimization. Lagrange multipliers, the Farkas lemma, the Kuhn-Tucker-Karush theorem. Analysis of major algorithms and applications to real world problems. Recommended Background: Courses in numerical algorithms, linear algebra and advanced calculus. | Mathematics/Statistics |
| MATH 578 Numerical Methods for Partial Differential Equations View MATH 578 in the UTK catalog (opens in a new window) | (3) | Numerical approximation of solutions of partial differential equations including conservation laws and hyperbolic, parabolic, and elliptic problems. Derivation, physical meaning, and implementation of schemes. Recommended Background: A course in partial differential equations or 512 or 515, and familiarity with an operating system and a programming language. | Mathematics/Statistics |
| MATH 585 Optimal Control Theory View MATH 585 in the UTK catalog (opens in a new window) | (3) | Deterministic optimal control. Examples involving calculus of variations, optimal trajectories, and engineering control problems. Introduction to stochastic control. Recommended Background: One year of advanced calculus and undergraduate differential equations. | Mathematics/Statistics |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| MICR 540 Genomics and Bioinformatics View MICR 540 in the UTK catalog (opens in a new window) | (3) | Fundamentals of a new scientific discipline based on sequencing genomes (entire DNA) of individual organisms. Goals, principles and types of genome analysis are covered in a traditional lecture course. Computational tools for genome analysis (bioinformatics) are presented in both lecture and hands-on (computer-laboratory) settings. | Science/Engineering Domain |
| MICR 575 Reproducible Data Analysis View MICR 575 in the UTK catalog (opens in a new window) | (3) | Introduction to the practice of analyzing and communicating data analysis clearly, efficiently, and reproducibly. Topics include an introduction to functional programming, data visualization, literate programming, and version control. | Science/Engineering Domain |
| MICR 670 Advanced Topics in Environmental Microbiology View MICR 670 in the UTK catalog (opens in a new window) | (1–3) | IGMCS eligibility is subject to course topic. Section numbers of eligible courses will be listed as they become available. Repeatability: May be repeated. Maximum 12 hours. Registration Permission: Consent of instructor. IGMCS eligibility is subject to course topic; section numbers of eligible courses are listed as they become available. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| MSE 504 Introduction to Machine Learning for Materials Science View MSE 504 in the UTK catalog (opens in a new window) | (3) | Designed to provide the fundamental background of ML methods as applied to practical problems of materials discovery, characterization, and optimization. Covers the basics of the classification, regression, and dimensionality reduction methods, combined physics- and ML based workflows, and introduces the concepts of active learning, experimental planning, and causal learning as necessary elements of decision making. The emphasis is made on low-code hands-on practice. Graduate students will be expected to complete a capstone project by applying machine learning to an aspect of their graduate research or model system. Credit Restriction: Students cannot receive credit for both MSE 404 and MSE 504. | Science/Engineering Domain |
| MSE 510 Mathematical and Numerical Problem Solving Skills for Materials Scientists and Engineers View MSE 510 in the UTK catalog (opens in a new window) | (3) | Formulation and solution of problems in materials science, including linear and nonlinear algebraic equations, ordinary and partial differential equations, and integral equations. Emphasize on use of modern computational tools. Cross-listed: (Same as CBE 506. Formerly MSE 506) Same as CBE 506. | Science/Engineering Domain |
| MSE 612 Computational Plasticity and Micromechanics View MSE 612 in the UTK catalog (opens in a new window) | (3) | Computational modeling and simulation methods will be introduced with applications in plasticity, fracture and fatigue, microstructural evolution, and material instability in engineering structural materials. Topics include the classic finite element method based on constitutive modeling, cohesive interface model, discrete dislocation dynamics, atomistic/continuum coupling techniques, and current research areas that are pertinent to the research efforts at UT and ORNL. | Science/Engineering Domain |
| MSE 613 Modeling and Simulation in Materials Science and Engineering I. Quantum Mechanics View MSE 613 in the UTK catalog (opens in a new window) | (3) | Introduction to and applications of quantum mechanical modeling and simulation of advanced materials at electronic and atomic levels of description. Development of structure/property relationships for functional, structural, and energy materials. Registration Restriction(s): Minimum student level – graduate. | Science/Engineering Domain |
| MSE 614 Modeling and Simulation in Materials Science and Engineering II. Classical Mechanics View MSE 614 in the UTK catalog (opens in a new window) | (3) | Introduction to and applications of classical modeling and simulation of advanced materials at atomic and mesoscale levels of description. Development of structure/property relationships for functional, structural, and energy materials. Registration Restriction(s): Minimum student level – graduate. Registration Permission: Consent of instructor. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| NE 470 Nuclear Reactor Theory View NE 470 in the UTK catalog (opens in a new window) | (3) | Fundamentals of reactor physics relative to cross sections kinematics of elastic scattering, reactor kinetics, reactor systems, and nuclear data. Analytical and numerical methods applicable to general criticality problems, eigenvalue searches, perturbation theory, and the multigroup diffusion equations. | Science/Engineering Domain |
| NE 571 Reactor Theory and Design View NE 571 in the UTK catalog (opens in a new window) | (3) | Analytical and numerical techniques for neutronics modeling of nuclear systems. Forward and adjoint Boltzmann transport equation. Multigroup diffusion theory. Core analysis methods and codes. (RE) Prerequisite(s): 470 or consent of instructor. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| PHYS 513 Problems in Theoretical Physics I View PHYS 513 in the UTK catalog (opens in a new window) | (3) | Fundamentals of physics: classical mechanics (Newtonian mechanics, Lagrangian and Hamiltonian dynamics) and electrostatics and magnetostatics. Note: the above course is available online for Fall 2020. | Science/Engineering Domain |
| PHYS 514 Problems in Theoretical Physics II View PHYS 514 in the UTK catalog (opens in a new window) | (3) | Fundamentals of physics: electrodynamics, relativity, and quantum mechanics. | Science/Engineering Domain |
| PHYS 571 Mathematical Methods in Physics I View PHYS 571 in the UTK catalog (opens in a new window) | (3) | Linear vector spaces, matrices, tensors, curvilinear coordinates, functions of a complex variable, partial differential equations and boundary value problems, Green's functions, integral transforms, integral equations, spherical harmonics, Bessel functions, calculus of variations. Cross-listed: (Same as Mathematics 517.) Recommended Background: Advanced calculus and differential equations. Same as MATH 517. | Science/Engineering Domain |
| PHYS 573 Numerical Methods in Physics View PHYS 573 in the UTK catalog (opens in a new window) | (3) | Numerical methods for solution of physical problems, use of digital computers, analysis of errors. (DE) Prerequisite(s): 571 or consent of instructor. | Science/Engineering Domain |
| PHYS 642 Advanced Topics in Modern Physics View PHYS 642 in the UTK catalog (opens in a new window) | (3) | IGMCS Eligible Topics: "Modern Biological Physics: Network and Systems Biology" IGMCS-eligible topics: "Modern Biological Physics: Network and Systems Biology". | Science/Engineering Domain |
| PHYS 643 Computational Physics View PHYS 643 in the UTK catalog (opens in a new window) | (3) | Developing computer algorithms for solving representative problems in various fields of physics, celestial dynamics in astrophysics, boundary value problems in electromagnetism, atomic and nuclear structures, band structure in solid state physics, transport problems in statistical mechanics, Monte Carlo simulation of liquids, fitting and interpolation of data, correlation analysis, or optimization strategy. (DE) Prerequisite(s): 521, 531, and 571. Registration Restriction(s): Minimum student level – graduate. | Science/Engineering Domain |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| STAT 537 Statistics for Research I View STAT 537 in the UTK catalog (opens in a new window) | (3) | Principles and application of statistical methodology, integrated with considerable use of major statistical computing system. Probability and probability distributions, forming and testing hypotheses using parametric and nonparametric inference methods. Matrix-based simple linear regression and correlation. | Mathematics/Statistics |
| STAT 538 Statistics for Research II, Regression Modeling View STAT 538 in the UTK catalog (opens in a new window) | (3) | Theory and application of simple and multiple linear regression, including interpretation, diagnostics, model selection, model-building strategies. Causal and predictive approaches are discussed. Logistic regression is introduced for binomial response variables, with focus on estimation, testing, and interpretation. Regression approaches are contrasted with machine learning approaches such as Random Forests. Model evaluation methods are integrated throughout, including techniques for assessing predictive accuracy (RMSE, R², and prediction intervals) and classification performance (accuracy, precision, recall, ROC). Statistical software is required for data analysis, visualization, and implementation of all models. AI tools are presented to assist in data preparation, coding, and summary of results. Students are guided through steps for proper model building through applied case studies. Registration Restriction(s): Minimum student level - graduate. | Mathematics/Statistics |
| STAT 563 Probability and Mathematical Statistics View STAT 563 in the UTK catalog (opens in a new window) | (3) | Basic probability and probability models; random variables and distributional models; kernel density estimation; cubic splines; likelihood inference and maximum likelihood estimation and model fitting with information criteria; moment and moment generating functions; functions of random variables; goodness of fit tests and quantile modeling of distributions. (DE) Prerequisite(s): Mathematics 241. Registration Permission: Prerequisite (s) or consent of instructor required. | Mathematics/Statistics |
| STAT 564 Statistical Inference II View STAT 564 in the UTK catalog (opens in a new window) | (3) | Sampling distributions; point and interval estimation; fixed width entropy confidence intervals; likelihood theory; Fisher information and its inverse; large sample, deviance, and bootstrap confidence intervals; Bayesian estimation and hypothesis testing; information approach to hypothesis testing; uniformly most powerful and likelihood ratio tests, theory of linear models, estimation, model building and inference. (DE) Prerequisite(s): 563. | Mathematics/Statistics |
| STAT 577 Applied Statistical Machine Learning View STAT 577 in the UTK catalog (opens in a new window) | (3) | An applied introduction to machine learning methods, including decision trees, support vector machines, neural networks, clustering, and association rules. Emphasizes data preparation, conceptual understanding, model evaluation, and practical applications across disciplines. Registration Restriction(s): Minimum student level – graduate. | Mathematics/Statistics |
| STAT 579 Multivariate and Data Mining Techniques View STAT 579 in the UTK catalog (opens in a new window) | (3) | Multivariate normal distribution, data visualization, handling missing data, dimension reduction techniques, supervised learning, clustering, outlier detection. Cross-listed: (Same as Business Analytics 552.) | Mathematics/Statistics |
| Course Title | Credit Hours | Description | IGMCS Discipline |
|---|---|---|---|
| ANSC 571 Design and Analysis of Biological Research View ANSC 571 in the UTK catalog (opens in a new window) | (3) | Experimental design and procedures; selection of experimental units; analysis and interpretation of data; statistical models and contrasts, analyses of variance: covariates, treatment arrangements, mean separation and regression. Cross-listed: Same as Plant Sciences 571. Recommended Background: 3 hours of statistics. Same as PLSC 571. | Science/Engineering Domain |
| CEM 601 Advanced Epidemiology View CEM 601 in the UTK catalog (opens in a new window) | (3) | Epidemiological study design, data analysis, and model building. Emphasis placed on using, understanding, and making inferences based on least squares, logistic, Poisson, survival, and mixed models. STATA will be used as the basic computing language for all analyses. Recommended Background: Graduate-level epidemiology course or statistics course. Comment(s): Consent of instructor. Registration Restriction(s): Minimum student level – graduate. | Science/Engineering Domain |
| CEM 602 GIS and Geographical Epidemiology View CEM 602 in the UTK catalog (opens in a new window) | (4) | Principles and applications of Geographical Information Systems (GIS) and geographical epidemiology in human and animal health research and practice. Exposure to a wide range of spatial analysis techniques useful in the investigation of human and animal disease problems as well as vector dynamics. The knowledge gained is useful in guiding disease prevention and control strategies. Recommended Background: Graduate-level epidemiology course or statistics course. Comment(s): Consent of instructor. Registration Restriction(s): Minimum student level – graduate. | Science/Engineering Domain |
| EPP 531 Statistical Genetics and Genomics View EPP 531 in the UTK catalog (opens in a new window) | (3) | Statistical concepts for analysis of genetic and -omics data using classical and contemporary analytical methods. Basic unix scripting and R programming, as well as fundamental genetics and -omics principles will be taught for methods to make sense. Class activities will include lectures, review of literature, and hands-on experience with real data set. Topics will include QC and filtering of next-generation sequence data, variant calling and filtering, genetic linkage mapping, QTL analysis, GWAS, genomic prediction, metagenome analysis, and transcriptome analysis. | Science/Engineering Domain |
| EPP 622 Bioinformatics Applications View EPP 622 in the UTK catalog (opens in a new window) | (3) | Fundamental bioinformatics concepts, principles and techniques with a focus on the application of bioinformatics to problems in agriculture. Laboratory practical will be taught within a LINUX computational environment where students will gain basic skills in bash and python scripting and construction open source-software based workflows to analyze genomic data. Contact Hour Distribution: 2 hours lecture and 2 hours lab. (DE) Prerequisite(s): Life Sciences 520 or introductory genetics course. Registration Restriction(s): minimum student level – graduate. | Science/Engineering Domain |