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Searched for: 3 subjects found.
12.009[J] Nonlinear Dynamics: The Natural Environment
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(Same subject as 18.352[J])
Prereq: Calculus II (GIR) and Physics I (GIR); Coreq: 18.03
Units: 3-0-9
Analyzes cooperative processes that shape the natural environment, now and in the geologic past. Emphasizes the development of theoretical models that relate the physical and biological worlds, the comparison of theory to observational data, and associated mathematical methods. Topics include carbon cycle dynamics; ecosystem structure, stability and complexity; mass extinctions; biosphere-geosphere coevolution; and climate change. Employs techniques such as stability analysis; scaling; null model construction; time series and network analysis.
D. H. Rothman
18.705 Commutative Algebra
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Prereq: 18.702
Units: 3-0-9
Exactness, direct limits, tensor products, Cayley-Hamilton theorem, integral dependence, localization, Cohen-Seidenberg theory, Noether normalization, Nullstellensatz, chain conditions, primary decomposition, length, Hilbert functions, dimension theory, completion, Dedekind domains.
W. Zhang
24.116 Philosophy of Statistics
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Not offered regularly; consult department
Prereq: None
Units: 3-0-9
Studies how to evaluate statistical hypotheses. Critically considers several prominent approaches, including frequentism (with its null hypotheses, test statistics, p-values), likelihoodism (with its likelihood ratios and relative support) and Bayesianism (with its priors, conditionalization, utilities). Focuses on foundations, not technicalities. Previous exposure to statistics will be helpful but isn't required.
Staff
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