Quantitative prerequisites for FOURTH year QES courses

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EOSC325• EOSC325 Geophysical Continuum Dynamics, 3 credits, 3-0-0. • Introduction to tensor calculus and continuum mechanics. Stress, strain and strain-rate tensors. Mass, momentum and energy balance. Applications to problems of geophysical heat transport, elasticity and fluid dynamics ssc exp EOSC329• EOSC329 Quantitative Groundwater Hydrology, 3 credits, 2-3-3. • Introduction to theory of groundwater flow; flow nets; regional groundwater resource evaluation; well hydraulics; role of groundwater in geologic processes, case studies. ssc exp EOSC350• EOSC350 Environmental, Geotechnical, and Exploration Geophysics I, 3 credits, 3-2-0. • Principles of geophysical survey design, data acquisition, processing and interpretation with emphasis on near-surface problems. Magnetic, seismic reflection/refraction, electromagnetic and ground penetrating radar surveys. Case history analysis of environmental and geotechnical problems. ssc exp Cmpscintro CPSC103• CPSC103 Introductory Systematic Program Design, 3 credits, 3-0-1. • Computation as a tool for systematic problem solving in non-computer-science disciplines. Introductory programming skills. ssc exp CPSC110• CPSC110 Computation, Programs, and Programming, 4 credits, 3-3-0. • Fundamental program and computation structures. Introductory programming skills. Computation as a tool for information processing, simulation and modelling, and interacting with the world. ssc exp CPSC301• CPSC301 Computing in the Life Sciences, 3 credits, 3-2-0. • Basic concepts, tools, and techniques for working with scientific data at larger scales, higher speeds, and lower costs that would otherwise be impossible. Applications and examples drawn from the life sciences. No prior computing background is required. ssc exp MATH210• MATH210 Introductory Mathematical Computing, 3 credits, 3-1-0. • Introductory numerical computation, computer algebra, mathematical graphics. Primarily for second year students taking a degree in mathematics. One hour laboratory ssc exp PHYS210• PHYS210 Introductory Computational Physics, 3 credits, 2-3-0. • Introductory UNIX/Linux; software tools for processing, fitting and displaying data; numerical methods and application in the physical sciences. ssc exp Diff Eqs MATH255 • MATH255 Ordinary Differential Equations, 3 credits, 3-0-0. • Review of linear systems; nonlinear equations and applications; phase plane analysis; Laplace transforms; numerical methods. ssc exp MATH256 • MATH256 Differential Equations, 3 credits, 3-0-0. • Linear ordinary differential equations, Laplace transforms, Fourier series and separation of variables for linear partial differential equations. ssc exp EOSC472• EOSC472 Chemical Oceanography and Marine Geochemistry, 3 credits, 3-0-2*. • Controls on chemical composition and elemental distributions in seawater and marine sediments (including nutrient elements, dissolved gases, the carbonate system, marine organic matter, and trace metals); solution chemistry of seawater; isotopic tracers of rates and dates in marine systems; geochemical balance in the oceans. ssc exp EOSC410• EOSC410 Geoscientific Data Analysis and Empirical Modelling, 3 credits, 3-0-0. • Application of data analysis and empirical modelling strategies for conducting a data-oriented research in geosciences; from setting research questions and hypothesis to delivering and interpreting results. Examples are drawn from across the Earth, ocean, atmospheric and planetary sciences. ssc exp EOSC442• EOSC442 Climate Measurement and Analysis, 1 credits, 0-3-0. • Local climate time series collection and analysis. Retrieval and analysis of online climate data and model output. ssc exp EOSC453• EOSC453 Physics of the Earth and Other Planets, 3 credits, 3-0-0. • Identification and quantitative analysis of diverse physical problems in the earth, ocean, atmospheric, and planetary sciences. ssc exp EOSC471• EOSC471 Waves, Currents and Ocean Mixing, 3 credits, 3-0-0. • Use of observations, theory and model results to solve physical oceanographic problems including applications to transport and mixing of pollutants or nutrients. ssc exp EOSC473• EOSC473 Methods in Oceanography, 3 credits, 0-3-0. • Methods of data acquisition, study and analysis required in solving oceanographic problems. Includes a field school held during the mid-term break. A fee is to be paid by January 31. Open to third- and fourth-year students in Oceanography, or with permission of the Department Head. ssc exp Calc IV div/grad/curl MATH217• MATH217 Multivariable and Vector Calculus, 4 credits, 4-0-0. • Partial differentiation, extreme values, multiple integration, vector fields, line and surface integrals, the divergence theorem, Green's and Stokes' theorems. Intended for students in Honours Physics and Engineering Physics. ssc exp MATH317• MATH317 Calculus IV, 3 credits, 3-0-0. • Parametrizations, inverse and implicit functions, integrals with respect to length and area; grad, div, and curl, theorems of Green, Gauss, and Stokes. ssc exp EOSC250• EOSC250 Fields and Fluxes, 3 credits, 3-0-0. • Application of classical theory of scalar and vector fields to geophysical sciences. Conductive, convective and radiative energy flux, gravitation, electrostatics, and magnetostatics. Gauss' and Stokes' theorems. ssc exp Applied DEs MATH257• MATH257 Partial Differential Equations, 3 credits, 3-0-0. • Introductory partial differential equations; Fourier series; the heat, wave and potential equations; boundary-value problems; numerical methods. ssc exp ATSC409• ATSC409 Numerical Techniques for Ocean, Atmosphere and Earth Scientists, 3 credits, 0-0-3. • Web-based introduction to the practical numerical solution of ordinary and partial differential equations including considerations of stability and accuracy. ssc exp ATSC406• ATSC406 Operational Meteorology, 3 credits, 2-2-0. • Introduction to meteorological prediction, meteorological data analysis, prognosis of weather systems, motion and development, satellite imagery, Doppler radar, numerical weather prediction, synoptic and mesoscale forecasting, applied laboratory exercises. ssc exp ATSC404• ATSC404 Dynamic Meteorology, 3 credits, 3-0-0. • Dynamic principles governing atmospheric motions on a rotating planet. Simplified mathematical models of atmospheric flow based on scale analysis. Application to synoptic-scale and general circulation of the troposphere. ssc exp ATSC405• ATSC405 Cloud Physics and Chemistry, 3 credits, 3-0-0. • Cloud thermodynamics, chemistry and microphysics. Computer modelling of droplet growth, convection, and mixing. Application of differential equations to atmospheric problems. ssc exp ATSC201• ATSC201 Meteorology of Storms, 3 credits, 3-0-0. • Characteristics and physical processes of thunderstorms, tornadoes, lightning, hail, hurricanes, blizzards, cyclones and other storms. ssc exp Phys- mech/waves PHYS101• PHYS101 Energy and Waves, 3 credits, 3-3-1. • Fluids, harmonic oscillator, travelling waves, standing waves, sound, and interference of light waves, including diffraction. ssc exp PHYS107• PHYS107 Enriched Physics I, 3 credits, 3-3-1. • Classical mechanics including conservation laws, angular momentum of rigid bodies and simple harmonic motion, wave phenomena, with an introduction to special relativity, quantum mechanics, nuclear physics, statistical mechanics and solid state physics. ssc exp PHYS117• PHYS117 Dynamics and Waves, 3 credits, 3-0-2. • Kinematics including curvilinear motion. Forces and Newton's laws of motion. Work-energy theorem, conservation of energy. Conservation of momentum, collisions. Torque, rotational dynamics, angular momentum. Oscillations and waves. ssc exp PHYS153• PHYS153 Elements of Physics, 6 credits, 3-3-1. • Thermometry, thermal properties of matter, heat, oscillations, waves, sound, wave optics; geometrical optics, elementary electricity and magnetism, simple DC and AC circuits. ssc exp PHYS157• PHYS157 Introductory Physics for Engineers I, 3 credits, 3-0-1. • Heat, thermodynamics, oscillations, waves, and sound. ssc exp SCIE001• SCIE001 Science One, 27 credits, na. • An innovative first-year multi-disciplinary course incorporating biology, chemistry, mathematics, and physics with a strong focus on the connections between these traditional disciplines. ssc exp Phys- EM PHYS102• PHYS102 Electricity, Light and Radiation, 3 credits, 3-3-1. • Introduction to optics, electricity and magnetism, electric circuits, radioactivity, including biological applications. ssc exp PHYS108• PHYS108 Enriched Physics II, 3 credits, 3-0-1. • Electricity and magnetism, electrical circuits, induction, electromagnetic waves, Maxwell's equations and applications. ssc exp PHYS118• PHYS118 Electricity, Light and Radiation, 3 credits, 3-0-1. • Optics, electricity and magnetism, electric circuits, radioactivity, including biological applications. ssc exp PHYS158• PHYS158 Introductory Physics for Engineers II, 3 credits, 3-0-1. • Electricity and magnetism, DC and AC circuits, optics. ssc exp SCIE001• SCIE001 Science One, 27 credits, na. • An innovative first-year multi-disciplinary course incorporating biology, chemistry, mathematics, and physics with a strong focus on the connections between these traditional disciplines. ssc exp Stats STAT201• STAT201 Statistical Inference for Data Science, 3 credits, 3-0-1. • Classical and simulation-based techniques for estimation and hypothesis testing, including inference for means and proportions. Emphasis on case studies and real data sets, as well as reproducible and transparent workflows when writing computer scripts for analysis and reports. ssc exp STAT251• STAT251 Elementary Statistics, 3 credits, 3-1-0. • Probability, discrete and continuous random variables, joint probability distributions, estimation, hypothesis testing, regression, analysis of variance, goodness of fit. ssc exp CALC IIIMATH200• MATH200 Calculus III, 3 credits, 3-0-0. • Analytic geometry in 2 and 3 dimensions, partial and directional derivatives, chain rule, maxima and minima, second derivative test, Lagrange multipliers, multiple integrals with applications. ssc exp EOSC250• EOSC250 Fields and Fluxes, 3 credits, 3-0-0. • Application of classical theory of scalar and vector fields to geophysical sciences. Conductive, convective and radiative energy flux, gravitation, electrostatics, and magnetostatics. Gauss' and Stokes' theorems. ssc exp SoftwareCPSC203• CPSC203 Programming, Problem Solving, and Algorithms, 3 credits, 3-0-1. • Analysis of increasingly complex algorithmic problems, using a modern programming language and a variety of approaches. Problem decomposition and abstraction guide explorations of topics from applied algorithms, for example Voronoi Diagrams, Markov Chains, Bin Packing, and Graph Search. ssc exp CPSC210• CPSC210 Software Construction, 4 credits, 3-2-0. • Design, development, and analysis of robust software components. Topics such as software design, computational models, data structures, debugging, and testing. ssc exp EOASEOSC212• EOSC212 Topics in the Earth and Planetary Sciences, 3 credits, 3-0-0. • Cutting edge problems in earth, ocean, atmospheric and planetary sciences. Topics will be introduced through discussions of the current literature ssc exp ENVR300• ENVR300 Introduction to Research in Environmental Science, 3 credits, 3-0-0. • Environmental research. Students investigate research methodologies and reporting in a range of scientific disciplines and fields. ssc exp Quantitative prerequisites for EOAS 4th yr courses. EOSC373• EOSC373 Introductory Oceanography: Climate and Ecosystems, 3 credits, 3-0-0. • Physical, chemical, and biological processes in the ocean and their interaction with climate and marine food-webs. ssc exp EOSC450• EOSC450 Potential Fields in Earth and Planetary Sciences, 3 credits, 3-0-0. • Theory, application and quantitative interpretation of potential field methods in Earth and planetary sciences. Topics drawn from problems in geophysical exploration, geodesy, geodynamics of the planets, geomagnetism, planetary magnetic fields, heat flow and fluid flow. ssc exp EOSC429• EOSC429 Groundwater Contamination, 3 credits, 2-2-0. • Contaminant transport processes in groundwater flow systems; aqueous and multiphase transport; mathematical models describing migration and chemical evolution of contaminant plumes; case studies. ssc exp EOSC434• EOSC434 Geological Engineering Practice II - Soil Engineering, 3 credits, 2-2-0. • Application of geomorphology, hydrogeology, and soil mechanics to geotechnical design. Influence and treatment of geological uncertainty in geotechnical hazard and risk assessments; multi-disciplinary approaches to geotechnical engineering problems in realistically complex geological environments. Case histories. ssc exp EOSC428• EOSC428 Field Techniques in Groundwater Hydrology, 3 credits, na. • Hydraulic head measurements, water-quality sampling, pump and slug testing, infiltration measurements, profiling techniques. Held over five days after spring term at the Richmond groundwater hydrology field-school site. Enrolment limitations. ssc exp EOSC433• EOSC433 Geological Engineering Practice I - Rock Engineering, 3 credits, 2-2-0. • Application of rock mechanics, hydrogeology, and engineering design tools in realistically complex geological environments. Influence and treatment of geological uncertainty, and use of field data, geotechnical monitoring, and numerical analyses for tunnelling, mining and rock slope engineering projects. Case histories. ssc exp MATH316• MATH316 Elementary Differential Equations II, 3 credits, 3-0-0. • Power series methods (ordinary and regular singular points, Bessel's equation); boundary value problems and separation of variables (Fourier series and other orthogonal series), applications to the vibrating string, heat flow, potentials. ssc exp PHYS312• PHYS312 Introductory Mathematical Physics, 3 credits, 3-0-0. • The application of ordinary and partial differential equations to physical problems; boundary and initial value problems associated with heat, wave and Laplace equations. Fourier analysis; expansions in Bessel and Legendre functions. ssc exp STAT200• STAT200 Elementary Statistics for Applications, 3 credits, 3-1-0. • Classical, nonparametric, and robust inferences about means, variances, and analysis of variance, using computers. Emphasis on problem formulation, assumptions, and interpretation. ssc exp BIOL300• BIOL300 Fundamentals of Biostatistics, 3 credits, 3-2-0. • Statistical procedures for biological research; estimation, hypothesis testing, goodness of fit, analysis of variance and regression; use of computers for statistical analysis. ssc exp or or or MATH215• MATH215 Elementary Differential Equations I, 3 credits, 3-0-0. • First-order equations; linear equations; linear systems; Laplace transforms; numerical methods; trajectory analysis of plane nonlinear systems. Applications of these topics will be emphasized. ssc exp ThermoPHYS203• PHYS203 Thermal Physics I, 4 credits, 4-0-0. • Fundamentals of thermodynamics and statistical physics; entropy, laws of thermodynamics, heat engines, free energy, phase transitions, Boltzmann statistics, quantum statistics. ssc exp CHEM304• CHEM304 Fundamentals of Thermodynamics and Statistical Mechanics, 3 credits, 3-0-1. • Principles of chemical thermodynamics; Introductory statistical mechanics; phase equilibria; electrochemistry. ssc exp Co - requisites AtscSci GEOS200• GEOS200 Atmospheric Environments, 3 credits, 3-2-0. • Physical principles underlying weather and climates. Thermal, moisture and wind climates from the scale of plants and animals to the globe. Daily weather systems and climate change. ssc exp EOSC372• EOSC372 Introductory Oceanography: Circulation and Plankton, 3 credits, 3-0-0. • Physical and chemical processes and their controls on the distribution of plankton in the ocean. ssc exp ATSC201• ATSC201 Meteorology of Storms, 3 credits, 3-0-0. • Characteristics and physical processes of thunderstorms, tornadoes, lightning, hail, hurricanes, blizzards, cyclones and other storms. ssc exp 3rd yr in any EOAS degree Anyprogramming language Notes: • Boxed lists are “ choose one of ” prerequisites. Colour key below. • ONLY quantitative courses are included. • or means “ choose one of ”. • ssc points to Stu. Services Center. • exp point to UBCexplore.io. EOSC211• EOSC211 Computer Methods in Earth, Ocean and Atmospheric Sciences, 3 credits, 3-2-0. • Mathematical computer-based problem solving in the physical, chemical, and biological sciences. Problems drawn from studies of the earth, the oceans and the atmosphere. ssc exp EOSC372• EOSC372 Introductory Oceanography: Circulation and Plankton, 3 credits, 3-0-0. • Physical and chemical processes and their controls on the distribution of plankton in the ocean. ssc exp EOSC352• EOSC352 Geophysical Continuum Dynamics, 3 credits, 3-0-0. • Introduction to tensor calculus and continuum mechanics. Stress, strain and strain-rate tensors. Mass, momentum and energy balance. Applications to problems of geophysical heat transport, elasticity and fluid dynamics ssc exp EOSC354• EOSC354 Analysis of Time Series and Inverse Theory for Earth Scientists, 3 credits, 3-2-0. • Continuous and discrete Fourier transforms, correlation and convolution, spectral estimates, optimum least-squares filters, deconvolution and prediction, frequency-wave number filtering. A practical course on computer techniques applied to the analysis of a wide range of geophysical phenomena. ssc exp EOSC340• EOSC340 Global Climate Change, 3 credits, 3-0-0. • Mechanisms and processes of past and future global environmental and climate change ssc exp
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