Program Requirements
This joint program in Physics and Geophysics provides a firm basis for graduate work in geophysics and related fields as well as a sound preparation for those who wish to embark on a career directly after the B.Sc.
Program Prerequisites
Students entering Physics programs from the Freshman program must have successfully completed the courses below or their equivalents. Quebec students must have completed the DEC with appropriate science and mathematics courses.

CHEM 110 General Chemistry 1 (4 credits)
Overview
Chemistry : A study of the fundamental principles of atomic structure, radiation and nuclear chemistry, valence theory, coordination chemistry, and the periodic table.
Terms: Fall 2019
Instructors: Huot, Mitchell; Sirjoosingh, Pallavi; McKeague, Maureen (Fall)
Fall
Prerequisites/corequisites: College level mathematics and physics or permission of instructor; CHEM 120 is not a prerequisite
Each lab section is limited enrolment

CHEM 120 General Chemistry 2 (4 credits)
Overview
Chemistry : A study of the fundamental principles of physical chemistry.
Terms: Winter 2020
Instructors: Sewall, Samuel Lewis; Wiseman, Paul; Sirjoosingh, Pallavi; Huot, Mitchell; Gauthier, JeanMarc (Winter)
Winter
Prerequisites/corequisites: College level mathematics and physics, or permission of instructor: CHEM 110 is not a prerequisite
Each lab section is limited enrolment

PHYS 131 Mechanics and Waves (4 credits)
Overview
Physics : The basic laws and principles of Newtonian mechanics; oscillations, waves, and wave optics.
Terms: Fall 2019
Instructors: Ragan, Kenneth J (Fall)
Fall
3 hours lectures; 1 hour tutorial, 3 hours laboratory in alternate weeks; tutorial sessions
Corequisite: MATH 139 or higher level calculus course.
Restriction(s): Not open to students who have taken or are taking PHYS 101, or who have taken CEGEP objective 00UR or equivalent.
Laboratory sections have limited enrolment

PHYS 142 Electromagnetism and Optics (4 credits)
Overview
Physics : The basic laws of electricity and magnetism; geometrical optics.
Terms: Winter 2020
Instructors: Webb, Tracy (Winter)
Winter
3 hours lectures, 3 hours laboratory in alternate weeks; tutorial sessions
Prerequisite: PHYS 131.
Corequisite: MATH 141 or higher level calculus course.
Restriction: Not open to students who have taken or are taking PHYS 102, or who have taken CEGEP objective 00US or equivalent.
Laboratory sections have limited enrolment
One of:

BIOL 111 Principles: Organismal Biology (3 credits)
Overview
Biology (Sci) : An introduction to the phylogeny, structure, function and adaptation of unicellular organisms, plants and animals in the biosphere.
Terms: Fall 2019
Instructors: Hendry, Andrew; Bell, Graham; Cristescu, Elena; Hargreaves, Anna (Fall)
Fall
2 hours lecture and 3 hours laboratory
Restriction: Not open to students who have taken CEGEP objective 00UK or equivalent; or BIOL 115.
This course serves as an alternative to CEGEP objective code 00UK
May require departmental approval.
Open to all students wishing introductory biology.
Attendance at first lab is mandatory to confirm registration in the course.
This class will use a Student Response System (clicker) which can be obtained from the Bookstore.

BIOL 112 Cell and Molecular Biology (3 credits)
Overview
Biology (Sci) : The cell: ultrastructure, division, chemical constituents and reactions. Bioenergetics: photosynthesis and respiration. Principles of genetics, the molecular basis of inheritance and biotechnology.
Terms: Winter 2020
Instructors: Dent, Joseph Alan; Schöck, Frieder (Winter)
MATH 133 and either MATH 140/141 or MATH 150/151.

MATH 133 Linear Algebra and Geometry (3 credits)
Overview
Mathematics & Statistics (Sci) : Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases; quadratic loci in two and three dimensions.
Terms: Fall 2019, Winter 2020, Summer 2020
Instructors: BélangerRioux, Rosalie; Omar, Zayd; Albanese, Michael (Fall) Ghaswala, Tyrone; Hurtubise, Jacques Claude (Winter)
3 hours lecture, 1 hour tutorial
Prerequisite: a course in functions
Restriction A: Not open to students who have taken MATH 221 or CEGEP objective 00UQ or equivalent.
Restriction B: Not open to students who have taken or are taking MATH 123, MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics.
Restriction C: Not open to students who are taking or have taken MATH 134.

MATH 140 Calculus 1 (3 credits)
Overview
Mathematics & Statistics (Sci) : Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
Terms: Fall 2019, Winter 2020, Summer 2020
Instructors: Trudeau, Sidney; Negrini, Isabella; Walker, Aled (Fall) Fortier, Jérôme (Winter)
3 hours lecture, 1 hour tutorial
Prerequisite: High School Calculus
Restriction: Not open to students who have taken MATH 120, MATH 139 or CEGEP objective 00UN or equivalent
Restriction: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics
Each Tutorial section is enrolment limited

MATH 141 Calculus 2 (4 credits)
Overview
Mathematics & Statistics (Sci) : The definite integral. Techniques of integration. Applications. Introduction to sequences and series.
Terms: Fall 2019, Winter 2020, Summer 2020
Instructors: Haris, Asad; Trudeau, Sidney; Abdenbi, Brahim (Fall) Trudeau, Sidney; Macdonald, Jeremy; Beckman, Erin (Winter)
Restriction: Not open to students who have taken MATH 121 or CEGEP objective 00UP or equivalent
Restriction Note B: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics.
Each Tutorial section is enrolment limited

MATH 150 Calculus A (4 credits)
Overview
Mathematics & Statistics (Sci) : Functions, limits and continuity, differentiation, L'Hospital's rule, applications, Taylor polynomials, parametric curves, functions of several variables.
Terms: Fall 2019
Instructors: Roth, Charles (Fall)
Fall
3 hours lecture, 2 hours tutorial
Students with no prior exposure to vector geometry are advised to take MATH 133 concurrently. Intended for students with high school calculus who have not received six advanced placement credits
Restriction: Not open to students who have taken CEGEP objective 00UN or equivalent
Restriction Note B: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics
MATH 150 and MATH 151 cover the material of MATH 139, MATH 140, MATH 141, MATH 222

MATH 151 Calculus B (4 credits)
Overview
Mathematics & Statistics (Sci) : Integration, methods and applications, infinite sequences and series, power series, arc length and curvature, multiple integration.
Terms: Winter 2020
Instructors: Roth, Charles (Winter)
Winter
3 hours lecture; 2 hours tutorial
Each Tutorial section is enrolment limited
Prerequisite: MATH 150
Restriction: Not open to students who have taken CEGEP objective 00UP or equivalent
Restriction: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics
Restriction: Not open to students who have taken MATH 152
Required Courses (57 credits)

EPSC 231 Field School 1 (3 credits)
Overview
Earth & Planetary Sciences : Geological mapping of selected areas, preparation of maps, reports from field notes, aerial photographs, etc.
Terms: This course is not scheduled for the 20192020 academic year.
Instructors: There are no professors associated with this course for the 20192020 academic year.
Prerequisite: EPSC 240, or permission of the instructor.
This field course, given in the U.S,.has an additional fee projected to be $594.10 to cover the costs of transportation, some meals and accommodation as well as other field expenses. The fee is only refundable prior to the deadline to withdraw with full refund. The Department of Earth and Planetary Sciences subsidizes a portion of the cost for this activity.

EPSC 240 Geology in the Field (3 credits)
Overview
Earth & Planetary Sciences : Lectures and fieldbased exercises, held locally on campus and in the Montreal area, introduce students to the reading and interpretation of a topographic map, the basic description of a stratigraphic section and the inference of its depositional environment, the nature of intrusive contacts, and the field measurement of some structural features and geophysical properties. Students plot geological information on a map, identify landforms in aerial views and learn the tectonic features diagnostic of plate margins. By the end of the course, the students relate a geological map to the geological history of Quebec.
Terms: Fall 2019
Instructors: Rowe, Christen Danielle (Fall)

EPSC 303 Structural Geology (3 credits)
Overview
Earth & Planetary Sciences : Primary igneous and sedimentary structures, attitudes of planes and lines, stress and strain, fracturing of rocks, faulting, homogeneous strain, description and classification of folds, foliation and lineation, orthographic and stereographic projections.
Terms: Fall 2019
Instructors: Kirkpatrick, James (Fall)

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 2019
Instructors: Liu, Yajing (Fall)

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 2019, Winter 2020, Summer 2020
Instructors: Macdonald, Jeremy; Causley, Broderick (Fall) Fortier, Jérôme (Winter)

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 2019, Winter 2020
Instructors: Kelome, Djivede (Fall) Macdonald, Jeremy (Winter)

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 2019, Winter 2020
Instructors: Roth, Charles (Fall) McGregor, Geoffrey; Hurtubise, Jacques Claude (Winter)

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 2019, Winter 2020, Summer 2020
Instructors: Nave, JeanChristophe (Fall) BélangerRioux, Rosalie (Winter)

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 2019
Instructors: Guo, Hong (Fall)

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 2020
Instructors: Rutledge, Robert (Winter)

PHYS 241 Signal Processing (3 credits)
Overview
Physics : Linear circuit elements, resonance, network theorems, diodes, transistors, amplifiers, feedback, integrated circuits.
Terms: Winter 2020
Instructors: Reisner, Walter (Winter)
Winter
2 hours lectures; 3 hours laboratory alternate weeks
Prerequisite: CEGEP physics or PHYS 142.

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 2019
Instructors: Siwick, Bradley (Fall)

PHYS 258 Experimental Methods 2 (3 credits)
Overview
Physics : Advanced laboratory work and data analysis as related to mechanics, optics and thermodynamics. Computers will be employed routinely for data analysis and for numerical computation, and, particularly, to facilitate the use of Fourier methods.
Terms: Winter 2020
Instructors: Brunner, Thomas (Winter)
Winter
6 hours of laboratory and classroom work
Prerequisite: PHYS 257

PHYS 331 Topics in Classical Mechanics (3 credits)
Overview
Physics : Forced and damped oscillators, Newtonian mechanics in three dimensions, rotational motion, Lagrangian and Hamiltonian mechanics, small vibrations, normal modes. Nonlinear dynamics and chaos.
Terms: Winter 2020
Instructors: CaronHuot, Simon (Winter)

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 2020
Instructors: Cline, James M (Winter)

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 2019
Instructors: Guo, Hong (Fall)

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 2020
Instructors: Gervais, Guillaume (Winter)

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 2020
Instructors: Lee, Eve J (Winter)

PHYS 446 Majors Quantum Physics (3 credits)
Overview
Physics : de Broglie waves, Bohr atom. Schroedinger equation, wave functions, observables. One dimensional potentials. Schroedinger equation in three dimensions. Angular momentum, hydrogen atom. Spin, experimental consequences.
Terms: Fall 2019
Instructors: Childress, Jack (Fall)
Complementary Courses (12 credits)

EPSC 350 Tectonics (3 credits)
Overview
Earth & Planetary Sciences : Rheology of the Earth, mechanics of the crust and mantle and core, convection in the mantle, evolution and kinematics and deformations of the oceanic and continental plates, thermal evolution of the Earth, the unifying theory of plate tectonics.
Terms: This course is not scheduled for the 20192020 academic year.
Instructors: There are no professors associated with this course for the 20192020 academic year.
Winter
3 hours lectures
Prerequisite(s): EPSC 320

EPSC 425 Sediments to Sequences (3 credits)
Overview
Earth & Planetary Sciences : Advanced techniques for interrogating the stratigraphic record. Topics include cyclicity in the sedimentary record, sequence stratigraphy, chemostratigraphy, sedimentary control on the fossil record, and the record of deep sea sediment cores.
Terms: This course is not scheduled for the 20192020 academic year.
Instructors: There are no professors associated with this course for the 20192020 academic year.

EPSC 435 Applied Geophysics (3 credits)
Overview
Earth & Planetary Sciences : Methods in geophysical surveying including gravity, magnetism, electromagnetism, resistivity and seismology; application to exploration and near surface environmental and hydrological targets are included, along with field applications of techniques.
Terms: This course is not scheduled for the 20192020 academic year.
Instructors: There are no professors associated with this course for the 20192020 academic year.

EPSC 482 Research in Earth and Planetary Sciences (3 credits)
Overview
Earth & Planetary Sciences : Research project designed by a student in consultation with a departmental faculty member of Earth & Planetary Sciences.
Terms: Fall 2019, Winter 2020
Instructors: There are no professors associated with this course for the 20192020 academic year.
May not be taken concurrently with EPSC 480
A statement of the proposed project and method of evaluation, signed by the student and supervisor, must be submitted to the departmental Director of Undergraduate Studies for approval by the add/drop deadline of the semester in which the student registers for this course.

EPSC 510 Geodynamics (3 credits)
Overview
Earth & Planetary Sciences : Topics in geodynamics including the gravity field of the Earth and planets, the body and orbital dynamics of planets and moons, tidal interactions, Earth deformation under static and dynamic loads including glacial isostatic adjustment and sea level change, the history and dynamics of the Earth's climate and of surface ice and water.
Terms: This course is not scheduled for the 20192020 academic year.
Instructors: There are no professors associated with this course for the 20192020 academic year.

EPSC 520 Earthquake Physics and Geology (3 credits)
Overview
Earth & Planetary Sciences : What are earthquakes and how do we study them? Fundamental mechanics of faulting and earthquake source processes are explored from theoretical and observational perspectives. The lectures cover concepts of earthquake source mechanism, including seismic waves, earthquake energy budget, fracture and friction mechanics, earthquake cycle deformation, earthquake triggering and prediction, and seismic hazards. This is complemented by inclass discussion on recent major discoveries and challenges in the field. Students learn to investigate earthquake source process by using seismic, geodetic and geological data in computer labs and course projects supervised by the instructor(s).
Terms: This course is not scheduled for the 20192020 academic year.
Instructors: There are no professors associated with this course for the 20192020 academic year.

EPSC 549 Hydrogeology (3 credits)
Overview
Earth & Planetary Sciences : Introduction to groundwater flow through porous media. Notions of fluid potential and hydraulic head. Darcy flux and Darcy's Law. Physical properties of porous media and their measurement. Equation of groundwater flow. Flow systems. Hydraulics of pumping and recharging wells. Notions of hydrology. Groundwater quality and contamination. Physical processes of contaminant transport.
Terms: Winter 2020
Instructors: Alazard, Marina (Winter)
Winter
3 hours lectures, 12 hours laboratory
Prerequisite: permission of the 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 2020
Instructors: Laborde, Maxime; Hurtubise, Jacques Claude (Winter)

PHYS 339 Measurements Laboratory in General Physics (3 credits)
Overview
Physics : Introduction to modern techniques of measurement. The use of computers in performing and analysing experiments. Data reduction, statistical methods, report writing. Extensive use of computers is made in this laboratory; therefore some familiarity with computers and computing is an advantage.
Terms: Winter 2020
Instructors: Reisner, Walter (Winter)
Winter
6 hours
Prerequisite: PHYS 241 or permission of instructor

PHYS 449 Majors Research Project (3 credits)
Overview
Physics : A supervised research project.
Terms: Fall 2019, Winter 2020, Summer 2020
Instructors: Leslie, Sabrina (Fall) Leslie, Sabrina (Winter) Leslie, Sabrina (Summer)
Winter or Summer
6 hours
Restrictions: U2 or U3 students in a Physics program, or permission of the instructor.