Program Requirements
45-48 credits
Required Courses (21 credits)
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ATOC 214 Introduction: Physics of the Atmosphere (3 credits)
Overview
Atmospheric & Oceanic Sciences : An introduction to physical meteorology designed for students in the physical sciences. Topics include: composition of the atmosphere; heat transfer; the upper atmosphere; atmospheric optics; formation of clouds and precipitation; instability; adiabatic charts.
Terms: Fall 2015
Instructors: Yau, Man K (Fall)
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ATOC 312 Rotating Fluid Dynamics (3 credits)
Overview
Atmospheric & Oceanic Sciences : Lagrangian and Eulerian time derivatives. Vorticity, divergence and Helmholtz decomposition. Two-dimensional Navier-Stokes equation for non-divergent flows. Rotating coordinate systems and the shallow water equations. Linear solutions, potential vorticity, and geostrophy in the shallow water context. Shallow-water quasi-geostrophic approximation, including Rossby waves and barotrophic (Rayleigh) instability.
Terms: Fall 2015
Instructors: Kirshbaum, Daniel (Fall)
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ATOC 315 Thermodynamics and Convection (3 credits)
Overview
Atmospheric & Oceanic Sciences : Buoyancy, stability, and vertical oscillations. Dry and moist adiabatic processes. Resulting dry and precipitating convective circulations from the small scale to the global scale. Mesoscale precipitation systems from the cell to convective complexes. Severe convection, downbursts, mesocyclones.
Terms: Fall 2015
Instructors: Ioannidou, Evangelia (Fall)
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MATH 222 Calculus 3 (3 credits)
Overview
Mathematics & Statistics (Sci) : Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Terms: Fall 2015, Winter 2016, Summer 2016
Instructors: Drury, Stephen W; Huang, Jingyin (Fall) Drury, Stephen W (Winter) McGregor, Geoffrey (Summer)
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MATH 223 Linear Algebra (3 credits)
Overview
Mathematics & Statistics (Sci) : Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
Terms: Fall 2015, Winter 2016
Instructors: Fox, Thomas F (Fall) Pichot, Michael (Winter)
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MATH 314 Advanced Calculus (3 credits)
Overview
Mathematics & Statistics (Sci) : Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.
Terms: Fall 2015, Winter 2016
Instructors: Panati, Annalisa (Fall) Roth, Charles (Winter)
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MATH 315 Ordinary Differential Equations (3 credits)
Overview
Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Terms: Fall 2015, Winter 2016, Summer 2016
Instructors: Xu, Jian-Jun (Fall) Lu, Xinyang (Winter) Roth, Charles (Summer)
Complementary Courses (27 credits)
24-27 credits:
Note: All students are encouraged to consult with the Undergraduate Adviser for help selecting from among the complementary courses.
3-6 credits selected from:
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ATOC 215 Oceans, Weather and Climate (3 credits)
Overview
Atmospheric & Oceanic Sciences : Laws of motion, geostrophic wind, gradient wind. General circulation of the atmosphere and oceans, local circulation features. Air-sea interaction, including hurricanes and sea-ice formation, extra-tropical weather systems and fronts, role of the atmosphere and oceans in climate.
Terms: Winter 2016
Instructors: Yau, Man K (Winter)
Winter
3 hours lecture
Prerequisite: ATOC 214
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ATOC 219 Introduction to Atmospheric Chemistry (3 credits)
Overview
Atmospheric & Oceanic Sciences : An introduction to the basic topics in atmospheric chemistry. The fundamentals of the chemical composition of the atmosphere and its chemical reactions. Selected topics such as smog chamber, acid rain, and ozone hole will be examined.
Terms: Winter 2016
Instructors: Preston, Thomas (Winter)
Winter
3 hours lecture
Prerequisites: CHEM 110 and CHEM 120, and one of MATH 139 or MATH 140 or MATH 150, or a CEGEP DEC in Science, or permission of instructor.
Restriction: Not open to students who have taken CHEM 219, CHEM 419 or ATOC 419
Offered in odd years. Students should register in CHEM 219 in even years
3 credits selected from:
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ATOC 357 Atmospheric and Oceanic Science Laboratory (3 credits)
Overview
Atmospheric & Oceanic Sciences : Students will gain hands-on experience in several fundamental atmospheric and oceanic science topics through practical experimentation. A diverse set of experiments will be conducted, ranging from in situ observations in Montreal, to remote sensing of clouds and radiation, to laboratory chemistry and water-tank experiments. As a background for these experiments, students will receive training on sensor principles and measurement error analysis, as well as the fundamental physical processes of interest in each experiment. They will learn to operate, and physically interpret data from, various sensors for in situ and remote observation of meteorological variables. Their training will also extend to operational weather observations, analysis, and forecasting.
Terms: Winter 2016
Instructors: Kos, Gregor (Winter)
Prerequisite(s): ATOC 214 or permission of instructor.
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PHYS 257 Experimental Methods 1 (3 credits)
Overview
Physics : Introductory laboratory work and data analysis as related to mechanics, optics and thermodynamics. Introduction to computers as they are employed for laboratory work, for data analysis and for numerical computation. Previous experience with computers is an asset, but is not required.
Terms: Fall 2015
Instructors: Warburton, Andreas; Engelberg, Edith M (Fall)
3 credits selected from:
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PHYS 230 Dynamics of Simple Systems (3 credits)
Overview
Physics : Translational motion under Newton's laws; forces, momentum, work/energy theorem. Special relativity; Lorentz transforms, relativistic mechanics, mass/energy equivalence. Topics in rotational dynamics. Noninertial frames.
Terms: Fall 2015
Instructors: Pereg-Barnea, Tamar (Fall)
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PHYS 251 Honours Classical Mechanics 1 (3 credits)
Overview
Physics : Newton's laws, work energy, angular momentum. Harmonic oscillator, forced oscillations. Inertial forces, rotating frames. Central forces, centre of mass, planetary orbits, Kepler's laws.
Terms: Fall 2015
Instructors: Hanna, David (Fall)
3 credits selected from:
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PHYS 232 Heat and Waves (3 credits)
Overview
Physics : The laws of thermodynamics and their consequences. Thermodynamics of P-V-T systems and simple heat engines. Free, driven, and damped harmonic oscillators. Coupled systems and normal modes. Fourier methods. Wave motion and dispersion. The wave equation.
Terms: Winter 2016
Instructors: Lovejoy, Shaun MacDonald (Winter)
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PHYS 253 Thermal Physics (3 credits)
Overview
Physics : Energy, work, heat; first law. Temperature, entropy; second law. Absolute zero; third law. Equilibrium, equations of state, gases, liquids, solids, magnets; phase transitions.
Terms: Fall 2015
Instructors: Webb, Tracy (Fall)
12-16 credits selected from (at least 6 of which must be ATOC):
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ATOC 309 Weather Radars and Satellites (3 credits)
Overview
Atmospheric & Oceanic Sciences : Basic notions of radiative transfer and applications of satellite and radar data to mesoscale and synoptic-scale systems are discussed. Emphasis will be put on the contribution of remote sensing to atmospheric and oceanic sciences.
Terms: Winter 2016
Instructors: Fabry, Frederic; Huang, Yi (Winter)
Winter
3 hours lecture
Prerequisite: ATOC 215
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ATOC 512 Atmospheric and Oceanic Dynamics (3 credits)
Overview
Atmospheric & Oceanic Sciences : Introduction to the fluid dynamics of large-scale flows of the atmosphere and oceans. Stratification of atmosphere and oceans. Equations of state, thermodynamics and momentum. Kinematics, circulation, and vorticity. Hydrostatic and quasi-geostrophic flows. Brief introduction to wave motions, flow over topography, Ekman boundary layers, turbulence.
Terms: Fall 2015
Instructors: Straub, David N (Fall)
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ATOC 513 Waves and Stability (3 credits)
Overview
Atmospheric & Oceanic Sciences : Linear theory of waves in rotating and stratified media. Geostrophic adjustment and model initialization. Wave propagation in slowly varying media. Mountain waves; waves in shear flows. Barotropic, baroclinic, symmetric, and Kelvin-Helmholtz instability. Wave-mean flow interaction. Equatorially trapped waves.
Terms: Winter 2016
Instructors: Merlis, Timothy (Winter)
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ATOC 515 Turbulence in Atmosphere and Oceans (3 credits)
Overview
Atmospheric & Oceanic Sciences : Application of statistical and semi-empirical methods to the study of geophysical turbulence. Reynolds' equations, dimensional analysis, and similarity. The surface and planetary boundary layers. Oceanic mixed layer. Theories of isotropic two- and three- dimensional turbulence: energy and enstrophy inertial ranges. Beta turbulence.
Terms: This course is not scheduled for the 2015-2016 academic year.
Instructors: There are no professors associated with this course for the 2015-2016 academic year.
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ATOC 519 Advances in Chemistry of Atmosphere (3 credits)
Overview
Atmospheric & Oceanic Sciences : Selected areas of atmospheric chemistry from field and laboratory to theoretical modelling are examined. The principles of atmospheric reactions (gas, liquid and heterogeneous phases in aerosols and clouds) and issues related to chemical global change will be explored.
Terms: Winter 2016
Instructors: Ariya, Parisa A (Winter)
Prerequisites: CHEM 243, and CHEM 263 or CHEM 213 and CHEM 273, MATH 222 and MATH 315 (or equivalents) or permission of instructor.
Restriction(s): Not open to students who have taken or are taking ATOC 419, ATOC 619, CHEM 419, CHEM 519 or CHEM 619.
Winter
3 hours lecture
Offered in odd years. Students should register in CHEM 519 in even years.
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ATOC 521 Cloud Physics (3 credits)
Overview
Atmospheric & Oceanic Sciences : Review of dry and moist atmospheric thermodynamics concepts. Atmospheric aerosols, nucleation of water and ice. Formation and growth of cloud droplets and ice crystals. Initiation of precipitation. Severe storms and hail. Weather modification. Numerical cloud models.
Terms: Fall 2015
Instructors: Zuend, Andreas (Fall)
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ATOC 525 Atmospheric Radiation (3 credits)
Overview
Atmospheric & Oceanic Sciences : Solar and terrestrial radiation. Interactions of molecules, aerosols, clouds, and precipitation with radiation of various wavelengths. Radiative transfer through the clear and cloudy atmosphere. Radiation budgets. Satellite and ground-based measurements. Climate implications.
Terms: Fall 2015
Instructors: Huang, Yi (Fall)
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ATOC 531 Dynamics of Current Climates (3 credits)
Overview
Atmospheric & Oceanic Sciences : The general circulation of the atmosphere and oceans. Atmospheric and oceanic general circulation models. Observations and models of the El Niño and Southern Oscillation phenomena.
Terms: Winter 2016
Instructors: Merlis, Timothy (Winter)
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ATOC 540 Synoptic Meteorology 1 (3 credits)
Overview
Atmospheric & Oceanic Sciences : Analysis of current meteorological data. Description of a geostrophic, hydrostatic atmosphere. Ageostrophic circulations and hydrostatic instabilities. Kinematic and thermodynamic methods of computing vertical motions. Tropical and extratropical condensation rates. Barotropic and equivalent barotropic atmospheres.
Terms: Fall 2015
Instructors: Atallah, Eyad Hashem (Fall)
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ATOC 541 Synoptic Meteorology 2 (3 credits)
Overview
Atmospheric & Oceanic Sciences : Analysis of current meteorological data. Quasi-geostrophic theory, including the omega equation, as it relates to extratropical cyclone and anticyclone development. Frontogenesis and frontal circulations in the lower and upper troposphere. Cumulus convection and its relationship to tropical and extratropical circulations. Diagnostic case study work.
Terms: Winter 2016
Instructors: Atallah, Eyad Hashem (Winter)
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ATOC 546 Current Weather Discussion (1 credit)
Overview
Atmospheric & Oceanic Sciences : Half-hour briefing on atmospheric general circulation and current weather around the world using satellite data, radar observations, conventional weather maps, and analyses and forecasts produced by computer techniques.
Terms: Winter 2016
Instructors: Atallah, Eyad Hashem (Winter)
Winter
2 hours
Prerequisite (Undergraduate): ATOC 540 or permission of instructor
Restriction: Graduate students and final-year Honours Atmospheric Science students. Others by special permission.
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ATOC 558 Numerical Methods and Laboratory (3 credits)
Overview
Atmospheric & Oceanic Sciences : Numerical simulation of atmospheric and oceanic processes. Finite difference, finite element, and spectral modelling techniques. Term project including computer modelling of convection or large-scale flows in the atmosphere or ocean.
Terms: Fall 2015
Instructors: Kirshbaum, Daniel (Fall)
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ATOC 568 Ocean Physics (3 credits)
Overview
Atmospheric & Oceanic Sciences : Research methods in physical oceanography including data analysis and literature review. Course will be divided into five separate modules focusing on temperature-salinity patterns, ocean circulation, boundary layers, wave phenomena and tides.
Terms: This course is not scheduled for the 2015-2016 academic year.
Instructors: There are no professors associated with this course for the 2015-2016 academic year.
Winter
3 hours lecture
Prerequisite (Undergraduate): ATOC 512 or permission of instructor
Restriction: Graduate students and final-year Honours Atmospheric Science students. Others by special permission.
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COMP 208 Computers in Engineering (3 credits)
Overview
Computer Science (Sci) : Introduction to computer systems. Concepts and structures for high level programming. Elements of structured programming using FORTRAN 90 and C. Numerical algorithms such as root finding, numerical integration and differential equations. Non-numerical algorithms for sorting and searching.
Terms: Fall 2015, Winter 2016
Instructors: Rezanejad, Morteza; Friedman, Nathan (Fall) Friedman, Nathan (Winter)
3 hours
Prerequisite: differential and integral calculus.
Corequisite: linear algebra: determinants, vectors, matrix operations.
Restrictions: COMP 202 and COMP 208 cannot both be taken for credit. COMP 202 is intended as a general introductory course, while COMP 208 is intended for students interested in scientific computations. Credits for either of these courses will not count towards the 60-credit Major in Computer Science. COMP 208 cannot be taken for credit with or after COMP 250.
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MATH 203 Principles of Statistics 1 (3 credits)
Overview
Mathematics & Statistics (Sci) : Examples of statistical data and the use of graphical means to summarize the data. Basic distributions arising in the natural and behavioural sciences. The logical meaning of a test of significance and a confidence interval. Tests of significance and confidence intervals in the one and two sample setting (means, variances and proportions).
Terms: Fall 2015, Winter 2016, Summer 2016
Instructors: Khalili Mahmoudabadi, Abbas; Wolfson, David B (Fall) Yang, Yi (Winter) Correa, Jose Andres (Summer)
No calculus prerequisites
Restriction: This course is intended for students in all disciplines. For extensive course restrictions covering statistics courses see Section 3.6.1 of the Arts and of the Science sections of the calendar regarding course overlaps.
You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar. Students should consult for information regarding transfer credits for this course.
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MATH 319 Introduction to Partial Differential Equations (3 credits)
Overview
Mathematics & Statistics (Sci) : First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, Sturm-Liouville theory, Fourier series, boundary and initial value problems.
Terms: Winter 2016
Instructors: Tsogtgerel, Gantumur (Winter)
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PHYS 333 Thermal and Statistical Physics (3 credits)
Overview
Physics : Introductory equilibrium statistical mechanics. Quantum states, probabilities, ensemble averages. Entropy, temperature, Boltzmann factor, chemical potential. Photons and phonons. Fermi-Dirac and Bose-Einstein distributions; applications.
Terms: Winter 2016
Instructors: Leslie, Sabrina (Winter)
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PHYS 340 Majors Electricity and Magnetism (3 credits)
Overview
Physics : The electrostatic field and scalar potential. Dielectric properties of matter. Energy in the electrostatic field. Methods for solving problems in electrostatics. The magnetic field. Induction and inductance. Energy in the magnetic field. Magnetic properties of matter. Maxwell's equations. The dipole approximation.
Terms: Fall 2015
Instructors: Siwick, Bradley (Fall)