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Liberal Program - Core Science Component Atmospheric and Oceanic Sciences (48 credits)

Offered by: Atmospheric & Oceanic Sciences     Degree: Bachelor of Science

Program Requirements

45-48 credits

Required Courses (21 credits)

  • ATOC 214 Introduction: Physics of the Atmosphere (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2014

    Instructors: Man K Yau (Fall)

    • Fall
    • 3 hours lecture
    • Prerequisite: CEGEP Physics, or the combination of PHYS 131 and PHYS 142, or permission of instructor.
  • ATOC 312 Rotating Fluid Dynamics (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2014

    Instructors: Daniel Kirshbaum (Fall)

    • Fall
    • Prerequisites: MATH 314
    • Not open to students who have taken ATOC 412.
  • ATOC 315 Thermodynamics and Convection (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2014

    Instructors: Evangelia Ioannidou (Fall)

    • Fall
    • 3 hours lecture
    • Prerequisites: ATOC 214 and MATH 222
  • MATH 222 Calculus 3 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2014, Winter 2015

    Instructors: Jian-Jun Xu, Michael Brandenbursky (Fall) Gantumur Tsogtgerel (Winter)

    • Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
    • Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227
  • MATH 223 Linear Algebra (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2014, Winter 2015

    Instructors: Stephan Ehlen (Fall)

    • Fall and Winter
    • Prerequisite: MATH 133 or equivalent
    • Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs
  • MATH 314 Advanced Calculus (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2014, Winter 2015

    Instructors: Ivo Klemes (Fall) Neville G F Sancho (Winter)

    • Prerequisites: MATH 133, MATH 222
    • Restriction: Not open to students who have taken or are taking MATH 248
  • MATH 315 Ordinary Differential Equations (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.

    Terms: Fall 2014, Winter 2015

    Instructors: Charles Roth (Fall) Jian-Jun Xu (Winter)

    • Prerequisite: MATH 222.
    • Corequisite: MATH 133.
    • Restriction: Not open to students who have taken or are taking MATH 325.

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:

  • ATOC 215 Oceans, Weather and Climate (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2015

    Instructors: Man K Yau (Winter)

    • Winter
    • 3 hours lecture
    • Prerequisite: ATOC 214
  • ATOC 219 Introduction to Atmospheric Chemistry (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2015

    Instructors: Thomas Preston (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:

  • ATOC 357 Atmospheric and Oceanic Science Laboratory (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2015

    Instructors: Gregor Kos, Daniel Kirshbaum (Winter)

    • Prerequisite(s): ATOC 214 or permission of instructor.
  • PHYS 257 Experimental Methods 1 (3 credits)

    Offered by: Physics (Faculty of Science)

    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 2014

    Instructors: Andreas Warburton, Edith M Engelberg (Fall)

    • Fall
    • 6 hours of laboratory and classroom work
    • Corequisite: PHYS 230 or PHYS 251

3 credits selected from:

  • PHYS 230 Dynamics of Simple Systems (3 credits)

    Offered by: Physics (Faculty of Science)

    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 2014

    Instructors: Tamar Pereg-Barnea (Fall)

    • Fall
    • 3 hours lectures
    • Prerequisite: CEGEP Physics or PHYS 131.
    • Corequisite: MATH 222
    • Restriction: Not open to students taking or having passed PHYS 251
  • PHYS 251 Honours Classical Mechanics 1 (3 credits)

    Offered by: Physics (Faculty of Science)

    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 2014

    Instructors: Robert Brandenberger (Fall)

    • Fall
    • 3 hours lectures
    • Prerequisite: CEGEP physics or PHYS 131.
    • Corequisite: MATH 222
    • Restriction: Not open to students taking or having taken PHYS 230.

3 credits selected from:

  • PHYS 232 Heat and Waves (3 credits)

    Offered by: Physics (Faculty of Science)

    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 2015

    Instructors: Hong Guo (Winter)

    • Winter
    • 3 hours lectures
    • Prerequisites: CEGEP Physics or PHYS 142, and CEGEP chemistry or CHEM 120, and PHYS 230.
    • Restriction: Not open to students taking or having passed PHYS 253
  • PHYS 253 Thermal Physics (3 credits)

    Offered by: Physics (Faculty of Science)

    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 2014

    Instructors: Walter Reisner (Fall)

    • Fall
    • 3 hours lectures
    • Prerequisites: CEGEP physics or PHYS 131, and CEGEP chemistry or CHEM 120.
    • Corequisite: MATH 222
    • Restriction: Not open to students taking or having taken PHYS 232.

12-16 credits selected from (at least 6 of which must be ATOC):

  • ATOC 309 Weather Radars and Satellites (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2015

    Instructors: Frederic Fabry, Yi Huang (Winter)

    • Winter
    • 3 hours lecture
    • Prerequisite: ATOC 215
  • ATOC 512 Atmospheric and Oceanic Dynamics (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2014

    Instructors: Peter Bartello (Fall)

    • Fall
    • 3 hours lecture
    • Prerequisite (Undergraduate): MATH 314, MATH 315, or permission of instructor
  • ATOC 513 Waves and Stability (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2015

    Instructors: Timothy Merlis (Winter)

    • Winter
    • 3 hours lecture
    • Prerequisite (Undergraduate): MATH 314, MATH 315, or permission of instructor
  • ATOC 515 Turbulence in Atmosphere and Oceans (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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: Winter 2015

    Instructors: David N Straub (Winter)

    • Winter
    • 3 hours lecture
    • Prerequisite (Undergraduate): MATH 314, MATH 315, a previous course in fluid dynamics (such as ATOC 512), or permission of instructor
  • ATOC 519 Advances in Chemistry of Atmosphere (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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: This course is not scheduled for the 2014-2015 academic year.

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • 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.
  • ATOC 521 Cloud Physics (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2014

    Instructors: Andreas Zuend (Fall)

    • 3 hours
    • Prerequisites (Undergraduates): ATOC 315, MATH 314, and MATH 315, or permission of instructor.
    • Restriction: Not open to students who have taken ATOC 621.
  • ATOC 525 Atmospheric Radiation (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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: Winter 2015

    Instructors: Yi Huang (Winter)

    • Prerequisites (Undergraduates): ATOC 315, MATH 314, and MATH 315, or permission of instructor.
    • Restriction: Not open to students who have taken ATOC 620.
  • ATOC 531 Dynamics of Current Climates (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2015

    Instructors: Bruno Tremblay (Winter)

    • Fall
    • 3 hours lecture
    • Prerequisite (Undergraduate): MATH 315 or permission of instructor
    • Corequisite (Undergraduate): ATOC 412 or ATOC 512 or permission of instructor
  • ATOC 540 Synoptic Meteorology 1 (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2014

    Instructors: Eyad Hashem Atallah (Fall)

    • Fall
    • 2 hours lecture; 2 hours laboratory
    • Prerequisite (Undergraduate): MATH 314, MATH 315, or permission of instructor
  • ATOC 541 Synoptic Meteorology 2 (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2015

    Instructors: Eyad Hashem Atallah (Winter)

    • Winter
    • 2 hours lecture; 2 hours laboratory
    • Prerequisite (Undergraduate): ATOC 412 and ATOC 540 or permission of instructor.
  • ATOC 546 Current Weather Discussion (1 credit)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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 2015

    Instructors: Eyad Hashem Atallah (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.
  • ATOC 558 Numerical Methods and Laboratory (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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: This course is not scheduled for the 2014-2015 academic year.

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • Winter
    • 1 hour lecture; 4 hours laboratory
    • Prerequisite (Undergraduate): ATOC 412 or ATOC 512, or permission of instructor
    • Restriction: Graduate students and final-year Honours Atmospheric Science students. Others by special permission.
  • ATOC 568 Ocean Physics (3 credits)

    Offered by: Atmospheric & Oceanic Sciences (Faculty of Science)

    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: Fall 2014

    Instructors: David N Straub (Fall)

    • 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.
  • COMP 208 Computers in Engineering (3 credits)

    Offered by: Computer Science (Faculty of Engineering)

    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 2014, Winter 2015

    Instructors: Nathan Friedman, Amir Hossein Rabbani (Fall) Wenbo He, Nathan Friedman (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.
  • MATH 203 Principles of Statistics 1 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2014, Winter 2015

    Instructors: Ana Best, David B Wolfson (Fall) Jose Andres Correa (Winter)

    • 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 http://www.mcgill.ca/student-records/transfercredits/ for information regarding transfer credits for this course.
  • MATH 319 Introduction to Partial Differential Equations (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    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 2015

    Instructors: Peter Bartello (Winter)

    • Winter
    • Prerequisites: MATH 223 or MATH 236, MATH 314, MATH 315
  • PHYS 333 Thermal and Statistical Physics (3 credits)

    Offered by: Physics (Faculty of Science)

    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 2015

    Instructors: Sabrina Leslie (Winter)

    • Winter
    • 3 hours lectures
    • Prerequisite: PHYS 232
    • Restriction: Not open to students taking or having passed PHYS 362
  • PHYS 340 Majors Electricity and Magnetism (3 credits)

    Offered by: Physics (Faculty of Science)

    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 2014

    Instructors: Shaun MacDonald Lovejoy (Fall)

    • Fall
    • 3 hours lectures
    • Prerequisites: CEGEP physics or PHYS 142, MATH 222
    • Corequisite: MATH 314
    • Restriction: Not open to students who have passed PHYS 242 or PHYS 350
Faculty of Science—2014-2015 (last updated Feb. 18, 2014) (disclaimer)