Program Requirements
Required Courses (24 credits)

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 2013
Instructors: Yi Huang (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)
Overview
Atmospheric & Oceanic Sciences : Lagrangian and Eulerian time derivatives. Vorticity, divergence and Helmholtz decomposition. Twodimensional NavierStokes equation for nondivergent flows. Rotating coordinate systems and the shallow water equations. Linear solutions, potential vorticity, and geostrophy in the shallow water context. Shallowwater quasigeostrophic approximation, including Rossby waves and barotrophic (Rayleigh) instability.
Terms: Fall 2013
Instructors: Daniel Kirshbaum (Fall)
 Fall
 Prerequisites: MATH 314
 Not open to students who have taken ATOC 412.

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 2013
Instructors: Evangelia Ioannidou (Fall)
 Fall
 3 hours lecture
 Prerequisites: ATOC 214 and MATH 222

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. Nonnumerical algorithms for sorting and searching.
Terms: Fall 2013, Winter 2014
Instructors: Nathan Friedman, Wenbo He (Fall) 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 60credit Major in Computer Science. COMP 208 cannot be taken for credit with or after COMP 250.

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 2013, Winter 2014, Summer 2014
Instructors: Nathan Grieve, Payman L Kassaei (Fall) Dmitry Jakobson (Winter) Sidney Trudeau (Summer)
 Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
 Restriction: Not open to students who have taken CEGEP course 201303 or MATH 150, MATH 151 or MATH 227

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 2013, Winter 2014
Instructors: William Cavendish (Fall) William Cavendish (Winter)
 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)
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 2013, Winter 2014, Summer 2014
Instructors: Ivo Klemes (Fall) Sidney Trudeau (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)
Overview
Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Terms: Fall 2013, Winter 2014, Summer 2014
Instructors: Charles Roth (Fall) Gantumur Tsogtgerel (Winter)
 Prerequisite: MATH 222.
 Corequisite: MATH 133.
 Restriction: Not open to students who have taken or are taking MATH 325.
Complementary Courses (37 credits)
3637 credits
Note: All students are encouraged to consult with the Undergraduate Adviser for help selecting from among the complementary courses. As general recommendations (but not programmatic requirements), students wishing to comply with Environment Canada recommendations for careers in operational meteorology are advised to take ATOC 215, 309, 512, 513, 540, 541, and 546. Students interested in atmospheric chemistry, aerosols, and cloud physics are advised to take ATOC 219, 309, 419, 521, 525, 540 and CHEM 223, 253. Suggested minors include math, physics, chemistry, computer science, earth and planetary science, and geography.
36 credits selected from:

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. Airsea interaction, including hurricanes and seaice formation, extratropical weather systems and fronts, role of the atmosphere and oceans in climate.
Terms: Winter 2014
Instructors: Man K Yau (Winter)
 Winter
 3 hours lecture
 Prerequisite: ATOC 214

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 2014
Instructors: Gregor Kos (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)
Overview
Atmospheric & Oceanic Sciences : Students will gain handson 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 watertank 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 2014
Instructors: Gregor Kos (Winter)
 Prerequisite(s): ATOC 214 or permission of instructor.

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 2013
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)
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 2013
Instructors: Tamar PeregBarnea (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)
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 2013
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)
Overview
Physics : The laws of thermodynamics and their consequences. Thermodynamics of PVT 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 2014
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)
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 2013
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.
2125 credits selected from the following (at least 12 credits must come from ATOC):

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 synopticscale systems are discussed. Emphasis will be put on the contribution of remote sensing to atmospheric and oceanic sciences.
Terms: Winter 2014
Instructors: Gerard Szejwach (Winter)
 Winter
 3 hours lecture
 Prerequisite: ATOC 215

ATOC 419 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 2014
Instructors: Parisa A Ariya (Winter)
 Winter
 3 hours lecture
 Prerequisites: CHEM 243, and CHEM 263 or CHEM 213 and CHEM 273, MATH 222 and MATH 315 (or equivalents) or permission of instructor.
 Restriction: Not open to students who have taken CHEM 419, CHEM 619, and ATOC 619
 Offered in odd years. Students should register in CHEM 419 in even years

ATOC 512 Atmospheric and Oceanic Dynamics (3 credits)
Overview
Atmospheric & Oceanic Sciences : Introduction to the fluid dynamics of largescale flows of the atmosphere and oceans. Stratification of atmosphere and oceans. Equations of state, thermodynamics and momentum. Kinematics, circulation, and vorticity. Hydrostatic and quasigeostrophic flows. Brief introduction to wave motions, flow over topography, Ekman boundary layers, turbulence.
Terms: Fall 2013
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)
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 KelvinHelmholtz instability. Wavemean flow interaction. Equatorially trapped waves.
Terms: Winter 2014
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)
Overview
Atmospheric & Oceanic Sciences : Application of statistical and semiempirical 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 20132014 academic year.
Instructors: There are no professors associated with this course for the 20132014 academic year.
 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 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 2013
Instructors: Man K Yau (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)
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 groundbased measurements. Climate implications.
Terms: This course is not scheduled for the 20132014 academic year.
Instructors: There are no professors associated with this course for the 20132014 academic year.
 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)
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 2014
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)
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 2013
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)
Overview
Atmospheric & Oceanic Sciences : Analysis of current meteorological data. Quasigeostrophic 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 2014
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)
Overview
Atmospheric & Oceanic Sciences : Halfhour 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 2014
Instructors: Eyad Hashem Atallah (Winter)
 Winter
 2 hours
 Prerequisite (Undergraduate): ATOC 540 or permission of instructor
 Restriction: Graduate students and finalyear Honours Atmospheric Science students. Others by special permission.

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 largescale flows in the atmosphere or ocean.
Terms: Winter 2014
Instructors: Daniel Kirshbaum (Winter)
 Winter
 1 hour lecture; 4 hours laboratory
 Prerequisite (Undergraduate): ATOC 412 or ATOC 512, or permission of instructor
 Restriction: Graduate students and finalyear Honours Atmospheric Science students. Others by special permission.

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 temperaturesalinity patterns, ocean circulation, boundary layers, wave phenomena and tides.
Terms: This course is not scheduled for the 20132014 academic year.
Instructors: There are no professors associated with this course for the 20132014 academic year.
 Winter
 3 hours lecture
 Prerequisite (Undergraduate): ATOC 512 or permission of instructor
 Restriction: Graduate students and finalyear Honours Atmospheric Science students. Others by special permission.

CHEM 223 Introductory Physical Chemistry 1 (2 credits)
Overview
Chemistry : Kinetics 1: Gas laws, kinetic theory of collisions. Thermodynamics: Zeroth law of thermodynamics. First law of thermodynamics, heat capacity, enthalpy, thermochemistry, bond energies. Second law of thermodynamics; the entropy and free energy functions. Third law of thermodynamics, absolute entropies, free energies, Maxwell relations and chemical and thermodynamic equilibrium states.
Terms: Fall 2013
Instructors: David M Ronis (Fall)
 Fall
 Prerequisites: CHEM 110, CHEM 120 or equivalent, PHYS 142, or permission of instructor.
 Corequisite: MATH 222 or equivalent.
 Restrictions: Not open to students who have taken or are taking CHEM 203 or CHEM 204.
 Note: Chemistry Honours and Majors must take CHEM 223 and CHEM 253 simultaneously.

CHEM 243 Introductory Physical Chemistry 2 (2 credits)
Overview
Chemistry : Heterogeneous equilibrium: phase rule and phase diagrams. Ideal solutions, colligative properties, solubility. Electrochemistry, DebyeHückel Theory. Kinetics 2: Transition State Theory, complex reactions, freeradical reactions, chain reactions, catalysis, reactions at surfaces, ionic effects of reactions in solution, photochemistry.
Terms: Winter 2014
Instructors: Gonzalo Cosa (Winter)
 Winter
 Prerequisites: CHEM 223 and CHEM 253.
 Restrictions: Not open to students who have taken or are taking CHEM 203 or CHEM 204. Permission of instructor.
 Note: Chemistry Honours and Majors must take CHEM 243 and CHEM 263 simultaneously.

CHEM 253 Introductory Physical Chemistry 1 Laboratory (1 credit)
Overview
Chemistry : Illustrative experiments in physical chemistry. Laboratory section of CHEM 223.
Terms: Fall 2013
Instructors: Amy Blum, Samuel Lewis Sewall, JeanMarc Gauthier (Fall)
 Fall
 Prerequisite: CHEM 110, CHEM 120 or equivalent.
 Corequisite: CHEM 223 or equivalent or permission of instructor.

CHEM 263 Introductory Physical Chemistry 2 Laboratory (1 credit)
Overview
Chemistry : Illustrative experiments in physical chemistry. Laboratory section of CHEM 243.
Terms: Winter 2014
Instructors: Amy Blum, Samuel Lewis Sewall, JeanMarc Gauthier (Winter)
 Winter
 Prerequisites: CHEM 223 and CHEM 253.
 Corequisite: CHEM 243 or equivalent.
 Restrictions: Not open to students who have taken or are taking CHEM 203 or CHEM 204. Permission of instructor.
 Note: Chemistry Honours and Majors must take CHEM 243 and CHEM 263 simultaneously.

CHEM 367 Instrumental Analysis 1 (3 credits)
Overview
Chemistry : An introduction to modern instrumental analysis emphasizing chromatography, electrochemical methods and computational data analysis. Analytical methods to be examined in detail include gasliquid and high performance liquid chromatography, LC mass spectrometry, and advanced electroanalysis techniques
Terms: Fall 2013
Instructors: Janine Mauzeroll, Joan F Power, Samuel Lewis Sewall, JeanMarc Gauthier (Fall)
 Fall
 Prerequisite: CHEM 257 or CHEM 277 or CHEM 287 and CHEM 297.
 Each lab section is limited enrolment

CHEM 575 Chemical Kinetics (3 credits)
Overview
Chemistry : Kinetic laws, measurement of reaction rates, transition state and collision theory, experimental techniques in reaction kinetics, reaction mechanisms, RRKM theory, Marcus theory of electron transfer, photochemistry and catalysis. Recent developments and their application to chemical and biological problems. Elementary reactions in gas, solution and solid phases and on surfaces.
Terms: Fall 2013
Instructors: Gonzalo Cosa (Fall)
 Winter
 Prerequisites: CHEM 273 and CHEM 223/CHEM 243 (formerly CHEM 213).

EPSC 320 Elementary Earth Physics (3 credits)
Overview
Earth & Planetary Sciences : Physical properties of Earth and the processes associated with its existence as inferred from astronomy, geodesy, seismology, geology, terrestrial magnetism and thermal evolution.
Terms: Fall 2013
Instructors: Yajing Liu (Fall)
 Fall
 3 hours lectures
 Prerequisite: MATH 222

EPSC 340 Earth and Planetary Inference (3 credits)
Overview
Earth & Planetary Sciences : Introduction to modern techniques for combining geological, geophysical, and geochemical measurements with theoretical knowledge about Earth and other planets. Use of tools from time series analysis and inverse methods to build models and test hypotheses within the Earth and Planetary Sciences.
Terms: Fall 2013
Instructors: Boswell Wing (Fall)
 Fall
 2 hours lectures, 3 hours laboratory
 Prerequisites: Completion of U1 year in Earth & Planetary Sciences or permission of instructor

EPSC 542 Chemical Oceanography (3 credits)
Overview
Earth & Planetary Sciences : History of chemical oceanography. Seawater composition and definition of salinity/chlorinity. Minor and traceelement distribution in the ocean. Geochemical mass balance. Dissolved gases in sea water. CO2 and the carbonate system. Chemical speciation. Physical chemistry of seawater. Organic matter and the carbon cycle in the marine environment. Sediment geochemistry.
Terms: Fall 2013
Instructors: Alfonso Mucci (Fall)
 Fall
 3 hours lectures
 Prerequisites: CHEM 213, CHEM 257 or equivalents, or registration in the Graduate Program in Oceanography.

GEOG 322 Environmental Hydrology (3 credits)
Overview
Geography : Quantitative, experimental study of the principles governing the movement of water at or near the Earth's surface and how the research relates to the chemistry and biology of ecosystems.
Terms: Winter 2014
Instructors: Nigel Thomas Roulet, Bernhard Lehner (Winter)
 Winter
 3 hours
 Prerequisite: GEOG 203 or equivalent

GEOG 372 Running Water Environments (3 credits)
Overview
Geography : The course focuses on the physical habitat conditions found in streams, rivers, estuaries and deltas. Based on the laws governing flow of water and sediment transport, it emphasizes differences among these environments, in terms of channel form, flow patterns, substrate composition and mode of evolution. Flooding, damming, channelisation, forestry impacts.
Terms: Fall 2013
Instructors: Michel F Lapointe (Fall)
 Fall
 3 hours
 Prerequisites: GEOG 203 and GEOG 272, or ENVR 200 and ENVR 202

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 2013, Winter 2014, Summer 2014
Instructors: Christian Genest, Daphna Harel (Fall) David B Wolfson (Winter) Jose Andres Correa (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 http://www.mcgill.ca/studentrecords/transfercredits/ for information regarding transfer credits for this course.

MATH 317 Numerical Analysis (3 credits)
Overview
Mathematics & Statistics (Sci) : Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
Terms: Fall 2013
Instructors: Peter Bartello (Fall)
 Fall
 Prerequisites: MATH 315 or MATH 325 or MATH 263, and COMP 202 or permission of instructor.

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, SturmLiouville theory, Fourier series, boundary and initial value problems.
Terms: Winter 2014
Instructors: Peter Bartello (Winter)
 Winter
 Prerequisites: MATH 223 or MATH 236, MATH 314, MATH 315

MATH 323 Probability (3 credits)
Overview
Mathematics & Statistics (Sci) : Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
Terms: Fall 2013, Winter 2014, Summer 2014
Instructors: Masoud AsgharianDastenaei (Fall) William J Anderson (Winter) Djivede Kelome (Summer)
 Prerequisites: MATH 141 or equivalent.
 Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
 Restriction: Not open to students who have taken or are taking MATH 356

MATH 324 Statistics (3 credits)
Overview
Mathematics & Statistics (Sci) : Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Terms: Fall 2013, Winter 2014
Instructors: William J Anderson (Fall) Masoud AsgharianDastenaei (Winter)
 Fall and Winter
 Prerequisite: MATH 323 or equivalent
 Restriction: Not open to students who have taken or are taking MATH 357
 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.

MATH 423 Regression and Analysis of Variance (3 credits)
Overview
Mathematics & Statistics (Sci) : Leastsquares estimators and their properties. Analysis of variance. Linear models with general covariance. Multivariate normal and chisquared distributions; quadratic forms. General linear hypothesis: Ftest and ttest. Prediction and confidence intervals. Transformations and residual plot. Balanced designs.
Terms: Fall 2013
Instructors: Abbas Khalili Mahmoudabadi (Fall)
 Fall
 Prerequisites: MATH 324, and MATH 223 or MATH 236
 Restriction: Not open to students who have taken or are taking MATH 533.

MATH 555 Fluid Dynamics (4 credits) *
Overview
Mathematics & Statistics (Sci) : Kinematics. Dynamics of general fluids. Inviscid fluids, NavierStokes equations. Exact solutions of NavierStokes equations. Low and high Reynolds number flow.
Terms: This course is not scheduled for the 20132014 academic year.
Instructors: There are no professors associated with this course for the 20132014 academic year.
 Fall
 Prerequisite (Undergraduate): MATH 315 and MATH 319 or equivalent

PHYS 241 Signal Processing (3 credits)
Overview
Physics : Linear circuit elements, resonance, network theorems, diodes, transistors, amplifiers, feedback, integrated circuits.
Terms: Winter 2014
Instructors: Matthew Adam Dobbs (Winter)
 Winter
 2 hours lectures; 3 hours laboratory alternate weeks
 Prerequisite: CEGEP physics or PHYS 142.

PHYS 331 Topics in Classical Mechanics (3 credits)
Overview
Physics : Forced and damped oscillators, Newtonian mechanics in three dimensions, rotational motion, Lagrangian mechanics, small vibrations, normal modes. Introduction to Hamiltonian mechanics.
Terms: Winter 2014
Instructors: Gilbert Holder (Winter)
 Winter
 3 hours lectures
 Prerequisite: PHYS 230
 Corequisite: MATH 315
 Restriction: Not open to students having passed PHYS 451 or PHYS 351

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. FermiDirac and BoseEinstein distributions; applications.
Terms: Winter 2014
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)
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 2013
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

PHYS 342 Majors Electromagnetic Waves (3 credits)
Overview
Physics : Maxwell's equations. The wave equation. The electromagnetic wave, reflection, refraction, polarization. Guided waves. Transmission lines and wave guides. Vector potential. Radiation. The elemental dipole; the halfwave dipole; vertical dipole; folded dipoles; Yagi antennas. Accelerating charged particles.
Terms: Winter 2014
Instructors: Michael Hilke (Winter)
 Winter
 3 hours lectures
 Prerequisites: PHYS 340 or PHYS 242, Mathematics MATH 314, MATH 315

PHYS 432 Physics of Fluids (3 credits) *
Overview
Physics : The physical properties of fluids. The kinematics and dynamics of flow. The effects of viscosity and turbulence. Applications of fluid mechanics in biophysics, geophysics and engineering.
Terms: Winter 2014
Instructors: James M Cline (Winter)
 Winter
 3 hours lectures
 Prerequisites: PHYS 230, MATH 223, MATH 314, MATH 315
 Restriction: Not open to students who have taken PHYS 332.
* Students may take PHYS 432 OR MATH 555.