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exam2_review

Course: ATOC 1060, Spring 2012
School: Colorado
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2 Exam Review ATOC 1060 Exam 2: Friday, Mar 23 3:00-3:50pm Duane Physics G1B20 Content Unit 2: The Chemical and Biological Climate System Lecture 12 -> Lecture 21 up to and including El Nino Chapters 8, 9 Quizzes 4, 5, 6 Learning group discussions 4, 5, 6 2 Rules allowed items pencil eraser items NOT allowed calculator sheet of equations computer textbook notes cell phones 3 What should I...

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2 Exam Review ATOC 1060 Exam 2: Friday, Mar 23 3:00-3:50pm Duane Physics G1B20 Content Unit 2: The Chemical and Biological Climate System Lecture 12 -> Lecture 21 up to and including El Nino Chapters 8, 9 Quizzes 4, 5, 6 Learning group discussions 4, 5, 6 2 Rules allowed items pencil eraser items NOT allowed calculator sheet of equations computer textbook notes cell phones 3 What should I bring? #2 pencil good eraser student ID number 4 Test format 33 multiple choice questions [3 points each] Fill in the corresponding bubble on the scan-tron sheet 5 Concept review - Lecture 12 Atoms contain protons, neutrons, and electrons Chemical elements have atomic mass [periodic table] Molecules are 2+ atoms held together by bonds Chemical reactions are expressed with chemical equations [read & understand chemical equation] The most abundant gases in the atmosphere are N2, O2, Ar, and CO2; only CO2 is a greenhouse gas The total pressure (concentration) of the atmosphere is the sum of the partial pressures of each individual gas pCO2 has a seasonal cycle and a multi-decadal increase [Figure: slide 16] Steady state means the concentration of the gas/chemical is constant with time; input balances output Non-steady state means the concentration of the gas/ chemical changes with time; input and output are imbalanced 6 Concept review - Lecture 13 The most abundant elements in the ocean are Cl-, Na+, SO42-, Mg, and HCO3-; concentration is expressed as mass of chemical per volume of H2O Residence time is the average length of time a substance spends in a given reservoir Under the assumption of steady state, residence time is proportional to chemical concentration [qualitative relation] If chemical residence time is longer than the mixing time of the ocean, the chemical will be well-mixed Chemical concentration in the ocean is controlled by both physical (vertical exchange) and biological (photosynthesis) processes Certain ocean chemicals are not in steady state: their concentration is changing with time. Examples: CO2, CFCs Deep water formation draws anthropogenic CO2 and CFCs into 7 the ocean interior [Figures: slides 18, 19] Concept review - Lecture 14 The ocean stores 60 times more carbon than the atmosphere because CO2 in the ocean gets converted to bicarbonate and carbonate, allowing more CO2 from the atmosphere to diffuse into the ocean When CO2 enters the ocean, it reacts with water to form carbonic acid, bicarbonate, and carbonate [chemical reactions] The carbon speciation reactions are equilibrium reactions; changing any part of the carbonate chemistry will result in a shift in all other species [qualitative understanding] Most of the dissolved inorganic carbon (DIC) in the ocean is in the form of bicarbonate; only a small fraction is CO2 Oceanographers measure DIC by adding acid to the seawater sample; this converts all inorganic carbon to CO2 DIC concentrations are higher in the deep ocean than at the surface because of the solubility pump and the biological pump 8 Concept review - Lecture 15 Photosynthesis plays an important role in the climate system by transforming CO2 (greenhouse gas) into organic matter The atmospheric seasonal cycle of pCO2 is driven by photosynthesis and respiration in the terrestrial biosphere [Figure 8-4] Plants are autotrophs: they can photosynthesize Photosynthesis converts inorganic materials (CO2, nutrients) into organic matter (carbohydrates, lipids, proteins, nucleic acids) and oxygen [photosynthesis chemical reaction] Terrestrial plant photosynthesis may be limited by low pCO2, low soil nutrients, low precipitation, and/or low light levels Leaf photosynthesis occurs in a chloroplast. A series of light reactions and dark reactions x CO2 into organic matter Stomata allow for CO2 to diffuse into the leaf; but also 9 result in transpiration Concept review Lecture 16 Net Ecosystem Exchange (NEE) is a measure of how much carbon is entering or leaving the ecosystem; it is an important quantity for climate NEE depends on the rates of gross primary respiration, production, autotrophic heterotrophic respiration, and disturbance [Figure: Slide 3] Autotrophic respiration: plants convert organic matter into energy; consumes O2, produces CO2 Net primary production: net amount of organic matter produced by photosynthesis, after accounting for autotrophic respiration Heterotrophic respiration: decomposition of soil organic matter by microbes; consumes O2, produces CO2; depends on temperature Disturbance: a natural process that disturbs the terrestrial carbon reservoir (re, pine beetles) 10 Concept review - Lecture 17 Phytoplankton are unicellular autotrophs living in the surface ocean Diatoms: create a shell (frustule) out of silica Dinoagellates: small agella; can create red tides Coccolithophorids: create a shell (coccoliths) out of CaCO3 All phytoplankton contain chlorophyll and perform photosynthesis Chlorophyll absorbs strongly in the blue, reects in the green part of the electromagnetic spectrum [Figure: Slide 10] Satellites can detect the surface chlorophyll concentration in the ocean [qualitative understanding] Phytoplankton photosynthesis is important for the oceans biological pump [Figure: Slide 15] 11 Concept review Lecture 18 The surface ocean chlorophyll concentration is non-uniform: elevated chlorophyll at Equator, 60o; low chlorophyll at 30o [Figure: Slide 2] Phytoplankton take up carbon, nitrogen, and phosphorous according to the Redeld ratio [understand ratio] A limitation to photosynthesis is something that impedes the photosynthetic process Photosynthesis in the ocean is never limited by H2O or CO2 Light can limit ocean photosynthesis when phytoplankton leave the euphotic zone and enter the aphotic zone Photosynthesis can be limited by low nutrient concentrations; chlorophyll is elevated where surface nutrients are abundant Nutrient concentrations are elevated at depth; nutrients return to the surface in upwelling zones 12 Concept review Lecture 19 Zooplankton are heterotrophic organisms that are capable of movement, but not against a current; most are transparent CaCO3-shelled zooplankton: forams, pteropods Fish can swim against a current; heterotrophs that absorb O2 and release CO2 Food webs exhibit bottom-up control when the primary producers (phytoplankton) control ecosystem structure Food webs exhibit top-down control when the top predator controls the ecosystem structure The maximum sustainable yield of a shery is the maximum amount of each type of sh that can be caught without impairing future populations 13 Concept review Lecture 20 Coral individuals are called polyps; live in CaCO3 cups Hermatypic corals contain zooxanthellae: masses of photosynthetic dinoagellates living within the lining of coral tissue Zooxanthellae and corals live in symbiotic relationship: corals provide protected environment, CO2, nutrients; zooxanthellae provide oxygen, glucose, and enhance ability for CaCO3 synthesis Corals grow better in surface ocean (sunlight) Corals under stress will expel zooxanthellae, leading to bleaching and coral starvation Coral skeletons are at risk of disintegration as the ocean acidies 14 Concept review - Lecture 21 El Nino is a coupled atmosphere-ocean climate phenomena occurring naturally every 3 to 7 years in the Pacic El Nino is associated with a slackening of the trade winds, and causes changes in ocean temperature and atmospheric convection patterns [Figure: Slide 14] El Nino events are associated with warmer surface temperatures, reduced upwelling of nutrients, and fewer phytoplankton in the Eastern Equatorial Pacic Fisheries observe a decline in sh population in the Eastern Equatorial Pacic during an El Nino event El Nino is associated with extreme drought and res in South-East Asia; this increases the ux of carbon dioxide from the terrestrial biosphere into the atmosphere; We can observe changes in the atmospheric pCO2 growth rate during El Nino events 15 Good luck! Last minute questions? Visit TA Sean Haneys ofce hours Special day/location tomorrow: Thursday, Mar 22, 5-7pm Ekeley S231 16
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Washington - AMATH - 567
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Washington - AMATH - 567
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Washington - AMATH - 567
90Chapter 5Banach SpacesMany linear equations may be formulated in terms of a suitable linear operatoracting on a Banach space. In this chapter, we study Banach spaces and linear operators acting on Banach spaces in greater detail. We give the denitio
Washington - AMATH - 567
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Washington - AMATH - 567
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Washington - AMATH - 567
Chapter 8Bounded Linear Operators on a HilbertSpaceIn this chapter we describe some important classes of bounded linear operators onHilbert spaces, including projections, unitary operators, and self-adjoint operators.We also prove the Riesz represent
Washington - AMATH - 567
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Washington - AMATH - 567
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Washington - AMATH - 567
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Washington - AMATH - 567
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Washington - AMATH - 567
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Washington - AMATH - 567
Errata Applied Analysis (Corrected in online les but not in Second Printing) p. 115: Replace statement of Theorem 5.53 with: A consistent approximation scheme is convergent if and only if it is stable. p.115: Replace last paragraph (Conversely.) of the pr
Washington - AMATH - 567
Indexbackwards heat equation, 164Baker-Campbell-Hausdor formula, 123ballclosed, 14open, 14unit, 4Banach algebra, 39Banach space, 8, 91of linear operators, 110Banach-Alaoglu theorem, 120, 208Banach-Steinhaus theorem, 204base of open sets, 84ba
Washington - AMATH - 567
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Washington - AMATH - 581
AMATH 581 Autumn Quarter 2011Homework 1: Quantum Harmonic OscillatorDUE: Friday, October 14, 2011 (actually at 3am on 10/15)The probability density evolution in a one-dimensional harmonic trapping potential is governed by the partialdierential equatio
Washington - AMATH - 581
AMATH 581 Autumn Quarter 2011Homework 2: Quantum Harmonic OscillatorDUE: Friday, October 21, 2011 (actually at 3am on 10/22)Continuing on the idea of the harmonic oscillator of Homework 1:(b) Calculate the rst ve normalized eigenfunctions (n ) and eig
Washington - AMATH - 581
AMATH 581 Autumn Quarter 2011Homework 3: Vorticity-Streamfunction EquationsDUE: Friday, November 4, 2011 (actually at 3am on 11/5)The time evolution of the vorticity (x, y, t) and streamfunction (x, y, t) are given by the governing equations:t + [, ]
Washington - AMATH - 581
AMATH 581 Autumn Quarter 2011Homework 4: Vorticity-Streamfunction EquationsDUE: Friday, November 11, 2011 (actually 3 a.m. on 11/12)The time evolution of the vorticity (x, y, t) and streamfunction (x, y, t) are given by the governing equations:t + [,
Washington - AMATH - 581
AMATH 581 Autumn Quarter 2011Homework 5: Reaction-Diusion SystemsDUE: Tuesday, November 22, 2011 (actually Wednesday, 11/23 at 3 a.m.)Consider the reaction-diusion systemUt = (A)U (A)V + D12UVt = (A)U + (A)V + D2where A2 = U 2 + V 2 and22V22
Washington - AMATH - 581
AMATH 581 Autumn Quarter 2011Homework 6: Bose-Einstein Condensation in 3DDUE: Wednesday, December 7, 2011 (actually Thursday, 12/8 at 3 a.m.)Consider the Gross-Pitaevskii system (nonlinear Schrodinger with potential) modeling a condensedstate of matte
Washington - AMATH - 581
AMATH 581Practice 1: Autumn 2011DUE: midnight, Thursday 10/6I Consider the functionf (x) = x sin(3x) exp(x)and solve for the x-value near x 0.5 that satises f (x) = 0. In the rst part, usethe Newton-Raphson method with the initial guess x(1) = 1.6 t