| BMA 567 | Modeling of Biological Systems | 4(3-2-0) Alt. yrs |
| Preq: MA 131 |
| An introduction to quantitative modeling in biology. Use of Forrester diagrams, probabilistic and deterministic description of dynamic processes, development of model equations, simulation methods and criteria for model evaluation. Examination of current literature dealing with application of models and simulation in biology. Individual and class modeling projects. |
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| BMA (MA) 573 | Mathematical & Experimental Modeling of Physical Processes I | 3(3-0-0) F |
| Preq: MA 341, MA 405, knowledge of high-level programg. lang |
| In-depth treatment of case studies in application of mathematics to problems currently under investigation in industrial and governmental laboratories. Background information for each case study; development of mathematical models; analytical and computational methods appropriate to models; model validation using experimental data collected during field trips to laboratories. Problems in biology & electromagnetism. |
| Course Offerings: fall | |
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| BMA (MA) 574 | Mathematical & Experimental Modeling of Physical Processes II | 3(3-0-0) S |
| Preq: MA 341, MA 405, knowledge of high-level programg. lang. |
| In-depth treatment of case studies in the application of mathematics to problems currently under investigation in industrial and governmental laboratories. Background information for each case study; development of mathematical models; analytical and computational methods appropriate to the models; model validation using experimental data collected during field trips to the laboratories. Case studies involve problems in mechanics, thermodynamics, and hydrodynamics. |
| Course Offerings: sprg | |
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| BMA 590 | Special Topics | 1-3 F,S,Sum |
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| BMA 591 | Special Topics | 0-3 F,S,Sum |
| Directed readings, problem sets, written and oral reports as dictated by need and interest of student, e.g., cellular, molecular and physiological modeling; new 500-level courses during the developmental phase. |
| Course Offerings: sprg | |
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| BMA 610 | Special Topics | 1-3 F,S,Sum |
| Directed readings, problem sets, written and oral reports as dictated by need and interest of student, e.g., cellular, molecular and physiological modeling; new 500-level courses during the developmental phase. |
| Course Offerings: fall sprg | |
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| BMA 685 | Master's Supervised Teaching | 1-3 F,S,Sum |
| Preq: Master's student |
| Teaching experience under the mentorship of faculty who assist the student in planning for the teaching assignment, observe and provide feedback to the student during the teaching assignment, and evaluate the student upon completion of the assignment. |
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| BMA 688 | Non-Thesis Masters Continuous Registration - Half Time Registration | 1(1-0-0) F,S,Sum |
| Preq: Master's student |
| For students in non-thesis master's programs who have completed all credit hour requirements for their degree but need to maintain half-time continuous registration to complete incomplete grades, projects, final master's exam, etc. |
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| BMA 689 | Non-Thesis Master Continuous Registration - Full Time Registration | 3(3-0-0) F,S,Sum |
| Preq: Master's student |
| For students in non-thesis master's programs who have completed all credit hour requirements for their degree but need to maintain full-time continuous registration to complete incomplete grades, projects, final master's exam, etc. Students may register for this course a maximum of one semester. |
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| BMA 690 | Master's Examination | 1-5 F,S |
| Preq: Master's student |
| For students in non thesis master's programs who have completed all other requirements of the degree except preparing for and taking the final master's exam. |
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| BMA 693 | Master's Supervised Research | 1-9 F,S |
| Preq: Master's student |
| Instruction in research and research under the mentorship of a member of the Graduate Faculty. |
| Course Offerings: fall sum1 sum2 sprg | |
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| BMA 695 | Master's Thesis Research | 1-9 F,S |
| Preq: Master's student |
| Thesis research. |
| Course Offerings: fall sprg | |
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| BMA 696 | Summer Thesis Research | 1(1-0-0) Sum |
| Preq: Master's student |
| For graduate students whose programs of work specify no formal course work during a summer session and who will be devoting full time to thesis research. |
| Course Offerings: sum1 | |
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| BMA 699 | Master's Thesis Preparation | 1-3 F,S,Sum |
| Preq: Master's student |
| For students who have completed all credit hour requirements and full-time enrollment for the master's degree and are writing and defending their theses. |
| Course Offerings: fall sum1 sum2 sprg | |
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| BMA (OR) (ST) 722 | Decision Analytic Modeling | 4(3-2-0) F, Alt. yrs. |
| Preq: MA 421 or ST 421 plus ST 511 or ST 516 |
| Analysis of decision problems involving risk and uncertainty. Modeling decision process; Bayesian probability analysis, use of information, and subjective probability; utility theory and multi-attribute utility assessment; dynamics of interacting with decision makers and subject matter specialists; decision trees, influence diagrams and other tools to assist in modeling decision problems. Laboratory develops skill in implementing methodology. |
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| BMA (MA) (ST) 771 | Biomathematics I | 3(3-0-0) F |
| Preq: Advanced calculus, reasonable background in biology |
| Role of theory construction and model building in development of experimental science. Historical development of mathematical theories and models for growth of one-species populations (logistic and off-shoots), including considerations of age distributions (matrix models, Leslie and Lopez; continuous theory, renewal equation). Some of the more elementary theories on the growth of organisms (von Bertalanffy and others; allometric theories; cultures grown in a chemostat). Mathematical theories oftwo and more species systems (predator-prey, competition, symbosis; leading up to present-day research) and discussion of some similar models for chemical kinetics. Much emphasis on scrutiny of biological concepts as well as of mathematical structureof models in order to uncover both weak and strong points of models discussed. Mathematical treatment of differential equations in models stressing qualitative and graphical aspects, as well as certain aspects of discretization. Difference equation models. |
| Course Offerings: fall | WolfWare Info |
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| BMA (MA) (ST) 772 | Biomathematics II | 3(3-0-0) S |
| Preq: BMA 771, elementary probability theory |
| Continuation of topics of BMA 771. Some more advanced mathematical techniques concerning nonlinear differential equations of types encountered in BMA 771: several concepts of stability, asymptotic directions, Liapunov functions; different time-scales. Comparison of deterministic and stochastic models for several biological problems including birth and death processes. Discussion of various other applications of mathematics to biology, some recent research. |
| Course Offerings: sprg | WolfWare Info |
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| BMA (MA) (OR) (ST) 773 | Stochastic Modeling | 3(3-3-0) S,Alt. Yrs. |
| Preq: BMA 772 or ST (MA) 746 |
| Survey of modeling approaches and analysis methods for data from continuous state random processes. Emphasis on differential and difference equations with noisy input. Doob-Meyer decomposition of process into its signal and noise components. Examples from biological and physical sciences, and engineering. Student project. |
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| BMA (MA) (OR) 774 | Partial Differential Equation Modeling in Biology | 3(3-0-0) S |
| Preq: BMA 771 or MA/OR 731; BMA 772 or MA 401 or MA 501 |
| Modeling with and analysis of partial differential equations as applied to real problems in biology. Review of diffusion and conservation laws. Waves and pattern formation. Chemotaxis and other forms of cell and organism movement. Introduction to solid and fluid mechanics/dynamics. Introductory numerical methods. Scaling. Perturbations, Asymptotics, Cartesian, polar and spherical geometries. Case studies. |
| Course Offerings: fall | WolfWare Info |
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| BMA 801 | Seminar | 1(1-0-0) F,S |
| Preq: Graduate standing |
| Graduate students in biomathematics are expected to attend through most of their residence period. |
| Course Offerings: fall sprg | |
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| BMA 815 | Advanced Special Topics | 1-3 F,S,Sum |
| Directed readings, problem sets, written and oral reports as dictated by need and interest of student; new 600-level courses during the development phase (currently includes courses in stochastic modeling and biophysical theory). |
| Course Offerings: fall sprg | |
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| BMA 885 | Doctoral Supervised Teaching | 1-3 F,S,Sum |
| Preq: Doctoral student |
| Teaching experience under the mentorship of faculty who assist the student in planning for the teaching assignment, observe and provide feedback to the student during the teaching assignment, and evaluate the student upon completion of the assignment. |
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| BMA 890 | Doctoral Preliminary Exam | 1-9 F,S,Sum |
| Preq: Doctoral student |
| For students who are preparing for and taking written and/or oral preliminary exams. |
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| BMA 893 | Doctoral Supervised Research | 1-9 F,S,Sum |
| Preq: Doctoral student |
| Instruction in research and research under the mentorship of a member of the Graduate Faculty. |
| Course Offerings: fall sum1 sum2 sprg | |
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| BMA 895 | Doctoral Dissertation Research | 1-9 F,S,Sum |
| Preq: Doctoral student |
| Dissertation research |
| Course Offerings: fall sprg | |
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| BMA 896 | Summer Dissertation Research | 1(1-0-0) Sum |
| Preq: Doctoral student |
| For graduate students whose programs of work specify no formal course work during a summer session and who will be devoting full time to thesis research. |
| Course Offerings: sum1 | |
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| BMA 899 | Doctoral Dissertation Preparation | 1-3 F,S,Sum |
| Preq: Doctoral student |
| For students who have completed all credit hours, full-time enrollment, preliminary examination, and residency requirements for the doctoral degree, and are writing and defending their dissertations. |
| Course Offerings: fall sum1 sum2 sprg | |