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Applied Physics Honours

Bachelor of Science

This bachelor of science (BSc) honours program offers a solid physics background combined with an extensive introduction to the applied aspects necessary for high technology careers.

Minimum Grade Requirement

Students wishing to enrol in physics courses must obtain a C- grade or better in prerequisite courses.

Program Requirements

Students complete 132 units, as specified below.

Students should enrol in the co-operative education program to acquire valuable industrial experience.

Lower Division Requirements

Students complete a minimum total of 54 units, including all of

CHEM 121 - General Chemistry and Laboratory I (4)

Atomic and molecular structure; chemical bonding; thermochemistry; elements; periodic table; gases liquids, solids, and solutions. This course includes a laboratory component. Prerequisite: BC high school chemistry 12 or CHEM 111. Recommended: MATH 151 (or 154) and PHYS 120 (or 101) as a corequisite. Students may not count both CHEM 120 and 121 for credit. Quantitative/Breadth-Science.

CHEM 122 - General Chemistry II (2)

Chemical equilibria; electrochemistry; chemical thermodynamics; kinetics. Students who intend to take further laboratory courses in chemistry should take CHEM 122 concurrently with CHEM 126. Prerequisite: CHEM 121 or 120. Recommended: MATH 152 (or 155) and PHYS 121 (or 102) as a corequisite. Quantitative.

CHEM 126 - General Chemistry Laboratory II (2)

Experiments in chemical equilibrium, acids and bases, qualitative analysis, electrochemistry and chemical kinetics. Prerequisite: CHEM 121. Corequisite: CHEM 122. Quantitative.

CMPT 102 - Introduction to Scientific Computer Programming (3)

A programming course which will provide the science student with a working knowledge of a scientific programming language and an introduction to computing concepts, structured programming, and modular design. The student will also gain knowledge in the use of programming environments including the use of numerical algorithm packages. Corequisite: MATH 152 or 155 (or 158). Students with credit for CMPT 120, 125, 126, 130, 135, or 128 may not take CMPT 102 for further credit. Quantitative.

CMPT 150 - Introduction to Computer Design (3)

Digital design concepts are presented in such a way that students will learn how basic logic blocks of a simple computer are designed. Topics covered include: basic Von Neumann computer architecture; an introduction to assembly language programming; combinational logic design; and sequential logic design. Prerequisite: Strongly recommended: MACM 101 and either CMPT 120 or equivalent programming. Students with credit for ENSC 150 or CMPT 290 may not take this course for further credit. Quantitative.

CMPT 250 - Introduction to Computer Architecture (3)

This course deals with the main concepts embodied in computer hardware architecture. In particular, the organization, design and limitations of the major building blocks in modern computers is covered in detail. Topics will include: processor organization; control logic design; memory systems; and architectural support for operating systems and programming languages. A hardware description language will be used as a tool to express and work with design concepts. Prerequisite: CMPT/ENSC 150. Students with credit for ENSC 250 may not take this course for further credit. Quantitative.

MATH 152 - Calculus II (3)

Riemann sum, Fundamental Theorem of Calculus, definite, indefinite and improper integrals, approximate integration, integration techniques, applications of integration. First-order separable differential equations. Sequences and series, series tests, power series, convergence and applications of power series. Prerequisite: MATH 150 or 151; or MATH 154 or 157 with a grade of at least B. Students with credit for MATH 155 or 158 may not take this course for further credit. Quantitative.

MATH 251 - Calculus III (3)

Rectangular, cylindrical and spherical coordinates. Vectors, lines, planes, cylinders, quadric surfaces. Vector functions, curves, motion in space. Differential and integral calculus of several variables. Vector fields, line integrals, fundamental theorem for line integrals, Green's theorem. Prerequisite: MATH 152; or MATH 155 or MATH 158 with a grade of at least B. Recommended: It is recommended that MATH 240 or 232 be taken before or concurrently with MATH 251. Quantitative.

MATH 252 - Vector Calculus (3)

Vector calculus, divergence, gradient and curl; line, surface and volume integrals; conservative fields, theorems of Gauss, Green and Stokes; general curvilinear coordinates and tensor notation. Introduction to orthogonality of functions, orthogonal polynomials and Fourier series. Prerequisite: MATH 240 or 232, and 251. MATH 240 or 232 may be taken concurrently. Students with credit for MATH 254 may not take MATH 252 for further credit. Quantitative.

PHYS 131 - Physics Laboratory I (2) *

Elementary experiments in optics, electricity, and mechanics that are designed to augment the general survey courses. Corequisite: PHYS 121 or 126 should be taken concurrently or may precede; or by permission of the department. Students with credit for PHYS 130 or 141 may not take PHYS 131 for further credit. Quantitative.

PHYS 211 - Intermediate Mechanics (3)

An intermediate mechanics course covering kinematics, dynamics, calculus of variations and Lagrange's equations, non-inertial reference frames, central forces and orbits, and rigid body motion. Prerequisite: PHYS 126 or 121 or 141, with a minimum grade of C-. Corequisite: MATH 251; MATH 232 or 240. Recommended: MATH 310 and PHYS 255. Quantitative.

PHYS 231 - Physics Laboratory II (3)

Introductory physics laboratory with experiments chosen from mechanics, heat, optics, electricity, magnetism, properties of matter, atomic and nuclear physics, along with lectures on the use of computers for data acquisition and data analysis in the physics laboratory. Prerequisite: PHYS 141 or 131 or 130, with a minimum grade of C-. Recommended co-requisite: PHYS 255. Students with credit for PHYS 234 may not take this course for further credit. Quantitative.

PHYS 233 - Physics Laboratory III (2)

Experiments chosen from among mechanics, heat, optics, electricity, magnetism, properties of matter, atomic and nuclear physics. Engineering Science students will do a selected set of experiments. Prerequisite: PHYS 231 or ENSC 220, with a minimum grade of C-. Quantitative.

PHYS 255 - Vibrations and Waves (3)

The physics of vibrations and waves. Topics include periodic motion, including free and forced oscillations, coupled oscillators, normal modes, and waves in one and higher dimensions. Prerequisite: PHYS 126 or 121 or 141 with a minimum C- grade; or PHYS 101 and 102 with a grade of B or better. Corequisite: MATH 251; MATH 232 or 240. Recommended concurrent: PHYS 211 and MATH 310. Quantitative.

PHYS 285 - Introduction to Relativity and Quantum Mechanics (3)

Special relativity, including relativistic kinematics and dynamics; tests of relativity; matter waves and early quantum models; wave mechanics and its application to molecular, atomic and subatomic systems. Prerequisite: PHYS 255, with a minimum grade of C-. Quantitative.

and one of

MATH 150 - Calculus I with Review (4)

Designed for students specializing in mathematics, physics, chemistry, computing science and engineering. Topics as for Math 151 with a more extensive review of functions, their properties and their graphs. Recommended for students with no previous knowledge of Calculus. In addition to regularly scheduled lectures, students enrolled in this course are encouraged to come for assistance to the Calculus Workshop (Burnaby), or Math Open Lab (Surrey). Prerequisite: Pre-Calculus 12 (or equivalent) with a grade of at least B+, or MATH 100 with a grade of at least B-, or achieving a satisfactory grade on the 間眅埶AV Calculus Readiness Test. Students with credit for either MATH 151, 154 or 157 may not take MATH 150 for further credit. Quantitative.

MATH 151 - Calculus I (3)

Designed for students specializing in mathematics, physics, chemistry, computing science and engineering. Logarithmic and exponential functions, trigonometric functions, inverse functions. Limits, continuity, and derivatives. Techniques of differentiation, including logarithmic and implicit differentiation. The Mean Value Theorem. Applications of Differentiation including extrema, curve sketching, related rates, Newton's method. Antiderivatives and applications. Conic sections, polar coordinates, parametric curves. Prerequisite: Pre-Calculus 12 (or equivalent) with a grade of at least A, or MATH 100 with a grade of at least B, or achieving a satisfactory grade on the 間眅埶AV Calculus Readiness Test. Students with credit for either MATH 150, 154 or 157 may not take MATH 151 for further credit. Quantitative.

and one of

MATH 232 - Applied Linear Algebra (3)

Linear equations, matrices, determinants. Introduction to vector spaces and linear transformations and bases. Complex numbers. Eigenvalues and eigenvectors; diagonalization. Inner products and orthogonality; least squares problems. An emphasis on applications involving matrix and vector calculations. Prerequisite: MATH 150 or 151; or MACM 101; or MATH 154 or 157, both with a grade of at least B. Students with credit for MATH 240 make not take this course for further credit. Quantitative.

MATH 240 - Algebra I: Linear Algebra (3)

Linear equations, matrices, determinants. Real and abstract vector spaces, subspaces and linear transformations; basis and change of basis. Complex numbers. Eigenvalues and eigenvectors; diagonalization. Inner products and orthogonality; least squares problems. Applications. Subject is presented with an abstract emphais and includes proofs of the basic theorems. Prerequisite: MATH 150 or 151; or MACM 101; or MATH 154 or 157, both with a grade of at least B. Students with credit for MATH 232 cannot take this course for further credit. Quantitative.

and one of

PHYS 120 - Mechanics and Modern Physics (3)

A general calculus-based introduction to mechanics. Topics include translational and rotational motion, momentum, energy, gravitation, and selected topics in modern physics. Prerequisite: BC Principles of Physics 12 or PHYS 100 or equivalent, with a minimum grade of C-. This prerequisite may be waived, at the discretion of the department, as determined by the student's performance on a regularly scheduled PHYS 100 final exam. Please consult the physics advisor for further details. Corequisite: MATH 150 or 151 or 154 must precede or be taken concurrently. Students with credit for PHYS 101, 125 or 140 may not take this course for further credit. Quantitative/Breadth-Science.

PHYS 125 - Mechanics and Special Relativity (3) +

Newtonian mechanics and special relativity for students with good preparation in physics and mathematics. Topics include Newtonian particle mechanics, angular momentum, torque, conservation laws, gravitation, and special relativity. Prerequisite: Greater than 85% in both BC Pre-Calculus 12 & BC Physics 12, or a grade of A in PHYS 100, or equivalent. Co-requisite: MATH 150 or 151 or 154 must precede or be taken concurrently. Students with credit for PHYS 101, 120 or PHYS 140 may not take PHYS 125 for further credit. Quantitative.

PHYS 140 - Studio Physics - Mechanics and Modern Physics (4) *

A general calculus-based introduction to mechanics taught in an integrated lecture-laboratory environment. Topics include translational and rotational motion, momentum, energy, gravitation, and selected topics in modern physics. Prerequisite: BC Principles of Physics 12, or equivalent, with a minimum grade of C-. Corequisite: MATH 150 or 151 or 154 must precede or be taken concurrently. Students with credit for PHYS 125 or 120 or 101 may not take this course for further credit. Quantitative/Breadth-Science.

and one of

PHYS 121 - Optics, Electricity and Magnetism (3)

A general calculus-based introduction to electricity, magnetism and optics. Topics include electricity, magnetism, simple circuits, optics and topics from applied physics. Prerequisite: PHYS 120 or 125 or 140 (or PHYS 101 with a grade of A or B). Corequisite: MATH 152 or 155 must precede or be taken concurrently. Students with credit for PHYS 102, 126 or 141 may not take this course for further credit. Quantitative/Breadth-Science.

PHYS 126 - Electricity, Magnetism and Light (3) +

Electricity, magnetism, and the electromagnetic character of light for students with good preparation in physics and mathematics. Topics include waves, simple electrical circuits, electricity, magnetism, the unifications of electromagnetism in relativity, light as an electromagnetic wave, and photons. Prerequisite: PHYS 125 or a grade of A or better in PHYS 120 or 140. Corequisite: MATH 152 or 155 must precede or be taken concurrently. Students with credit in PHYS 102, 121 or 141 may not take this course for further credit. Quantitative.

PHYS 141 - Studio Physics - Optics, Electricity and Magnetism (4) *

A general calculus-based introduction to electricity, magnetism and optics taught in an integrated lecture-laboratory environment. Topics include electricity, magnetism, simple circuits, optics and topics from applied physics. Prerequisite: PHYS 140, with a minimum grade of C-. Corequisite: MATH 152 or 155 must precede or be taken concurrently. Students with credit for PHYS 126 or 121 or 102 may not take this course for further credit. Quantitative/Breadth-Science.

An additional second year CMPT course, such as CMPT 212, is recommended.

* students with credit for PHYS 140 and 141 are not required to complete PHYS 131

+ recommended

Upper Division Requirements 

Students have the option of various specialized upper division courses, as shown below.

Students complete a minimum total of 52 units, including all of

MATH 310 - Introduction to Ordinary Differential Equations (3)

First-order differential equations, second- and higher-order linear equations, series solutions, introduction to Laplace transform, systems and numerical methods, applications in the physical, biological and social sciences. Prerequisite: MATH 152; or MATH 155/158 with a grade of at least B, MATH 232 or 240. Quantitative.

PHYS 321 - Intermediate Electricity and Magnetism (3)

Development and application of Maxwell's equations in vector differential form. Notation and theorems of vector calculus; electric charge, fields, potentials, capacitance and field energy; conductors; methods for solving electrostatic problems; electric fields in matter; electrical current and the magnetic field; Ampere's law and the vector potential; magnetic fields in matter; electromotive force, electrical resistance, Faraday's law and inductance; Maxwell's correction to Ampere's law and electromagnetic waves. Prerequisite: PHYS 130 or 131 or 141; MATH 252 or 254; MATH 310, with a minimum grade of C-. Students with credit for PHYS 221 may not take this course for further credit. Quantitative.

PHYS 326 - Electronics and Instrumentation (4)

Circuits and circuit theory, passive and active devices, amplifiers, feedback, modern measurement techniques and instrumentation. Prerequisite: PHYS 231 and 255, with a minimum grade of C-. Quantitative.

PHYS 332W - Optics Laboratory (4)

Experiments in optics and modern physics, including diffraction, interference, spectroscopy, lasers and holography. Engineering Science students will do a selected set of experiments. Prerequisite: PHYS 233 and 285, or equivalent, with a minimum grade of C-. Students with credit for PHYS 332 may not take this course for further credit. Writing/Quantitative.

PHYS 344 - Thermal Physics (3)

Heat, temperature, heat transfer, kinetic theory, laws of thermodynamics, entropy, heat engines, applications of thermodynamics to special systems, phase transitions. Prerequisite: PHYS 126 or 121, MATH 251, with a minimum grade of C-. Quantitative.

PHYS 384 - Methods of Theoretical Physics I (3)

Applications of mathematical methods in physics, differential equations of physics, eigenvalue problems, solutions to wave equations. Prerequisite: MATH 252 or 254; MATH 310; PHYS 255 or ENSC 380, with a minimum grade of C-. Corequisite: PHYS 211. Quantitative.

PHYS 385 - Quantum Mechanics I (3)

Wave mechanics and the Schroedinger equation, the harmonic oscillator, introduction to Dirac notation, angular momentum and spin, the hydrogen atom, atomic structure, time-independent perturbation theory, atomic spectra, and applications. Prerequisite: MATH 252 or 254; PHYS 285 or ENSC 380 or CHEM 260, with a minimum grade of C-. Corequisite: PHYS 211; MATH 310. Quantitative.

PHYS 421 - Electromagnetic Waves (3)

A continuation of PHYS 321: properties of electromagnetic waves and their interaction with matter. Transmission lines and waveguides; antennas, radiation and scattering; propagation of electromagnetic waves in free space and in matter; reflection and refraction at boundaries; polarization, interference and diffraction. Prerequisite: PHYS 321; PHYS 255 or ENSC 380, with a minimum grade of C-. Students with credit for PHYS 324 or 425 may not take PHYS 421 for further credit. Quantitative.

PHYS 431 - Advanced Physics Laboratory I (4)

Advanced experiments in Physics. May include special projects. Prerequisite: PHYS 385 and either PHYS 332 or (PHYS 326 and 465), with a minimum grade of C-. Quantitative.

PHYS 432 - Undergraduate Honours Thesis (5) ++

Undergraduate research and preparation of an honours thesis. The research project may be in experimental or theoretical physics. Prospective students must obtain agreement of a faculty member willing to supervise the project, and submit the project to the physics department for approval at least two months prior to enrolling for the course. The research must be done during the term in which the student is enrolled for the course, and may not be part of a co-op practicum. The course will be graded on the basis of the honours thesis, which must be submitted before the end of the term. Prerequisite: All students interested in taking this course must consult with their faculty supervisor regarding prerequisites; normally requires PHYS 431, with a minimum grade of C-.

PHYS 455 - Modern Optics (3)

Optical physics, including geometrical and physical optics, waves in anisotropic media, coherence, image formation and Fourier optics, guided wave optics and selected advanced topics such as lasers, nonlinear optics, photonics and quantum optics. Prerequisite: PHYS 321 or 221, with a minimum grade of C-. Corequisite: PHYS 385. Quantitative.

PHYS 465 - Solid State Physics (3)

Crystal structure, lattice vibrations and thermal properties of solids, free electron model, band theory, and applications. Prerequisite: PHYS 385, with a minimum grade of C-. Quantitative.

and a minimum of 11 additional units chosen from

CHEM 340 - Materials Chemistry (3)

Bonding in solid state materials. Introduction to symmetry and its applications in materials science. Structure and physical properties of solid state materials. Prerequisite: Completion of 60 units in a science or applied science program, including first year chemistry, physics and calculus. Quantitative.

ENSC 426 - High Frequency Electronics (4)

Transmission lines and waveguides, microwave devices, travelling wave devices. An introduction to the theory of radiation, antennae and wave propagation, and microwave scattering theory. The design of complete communication systems incorporating microwave, optical and satellite channels. Laboratory work is included in this course. Prerequisite: Completion of 80 units including PHYS 221 or 321.

ENSC 495 - Introduction to Microelectronic Fabrication (4) **

Lectures provide the theory of integrated circuit fabrication. Students fabricate diodes, transistors and test structures in the laboratory. Topics: clean room practice, thermal oxidation and diffusion, photolithography, thin film deposition, etching, ion implantation, packaging, CMOS and bipolar processes. Prerequisite: Completion of 80 units including ENSC 225 or 226, and permission of the instructor.

PHYS 365 - Semiconductor Device Physics (3)

Structure and properties of semiconductors, semiconductor theory, theory and operation of semiconductor devices, semiconductor device technology. Prerequisite: PHYS 321 or 221; PHYS 255 or ENSC 380, with a minimum grade of C-. PHYS 321, ENSC 380, and PHYS 365 may be taken concurrently. Recommended: PHYS 285. Students with credit for ENSC 224 may not take PHYS 365 for further credit. Quantitative.

PHYS 395 - Computational Physics (3) *

Computer based approaches to the solution of complex physical problems. A partial list of topics includes: Monte-Carlo and molecular dynamics techniques applied to thermal properties of materials; dynamical behavior of conservative and dissipative systems, including chaotic motion; methods for ground state determination and optimization, including Newton-Raphson, simulated annealing, neural nets, and genetic algorithms; the analysis of numerical data; and the use of relevant numerical libraries. Prerequisite: MATH 310, PHYS 211, CMPT 101 or 102, with a minimum grade of C-. Recommended: PHYS 344 or equivalent. Quantitative.

or MACM 316 - Numerical Analysis I (3)

A presentation of the problems commonly arising in numerical analysis and scientific computing and the basic methods for their solutions. Prerequisite: MATH 152 or 155 or 158, and MATH 232 or 240, and computing experience. Quantitative.

Students considering physics graduate programs should also complete

PHYS 413 - Advanced Mechanics (3)

Central forces, rigid body motion, small oscillations. Lagrangian and Hamiltonian formulations of mechanics. Prerequisite: PHYS 384, with a minimum grade of C- or permission of the department. Non-physics majors may enter with MATH 252, 310 and PHYS 211, with a minimum grade of C-. Quantitative.

PHYS 415 - Quantum Mechanics II (3)

Foundations of quantum mechanics, time-dependent perturbation theory, radiation, variational methods, scattering theory, advanced topics, and applications. Prerequisite: PHYS 385 and either PHYS 384 or MATH 314 and 419, with a minimum grade of C-. Quantitative.

PHYS 445 - Statistical Physics (3)

Postulates of statistical mechanics, partition functions, applications to gases, paramagnetism and equilibrium. Quantum statistics and applications. Prerequisite: PHYS 344 or CHEM 360, with a minimum grade of C-. Recommended: PHYS 385. Quantitative.

* recommended

** the prerequisite ENSC 222 can be replaced by PHYS 326

++ should be based on an industrially motivated project

Faculty of Science Honours Requirements

In addition to the above requirements, students must also satisfy Faculty of Science honours program requirements as follows:

  • students are required to complete additional upper division units to total a minimum of 60 upper division units (excluding EDUC 401 to 406)
  • students who were enrolled at 間眅埶AV between fall 1991 and summer 2006 are required to complete a minimum of 12 units in subjects outside the Faculty of Science (excluding EDUC 401 to 406) including six units minimum to be completed in the Faculty of Arts and Social Sciences

Writing, Quantitative, and Breadth Requirements

Students admitted to 間眅埶AV beginning in the fall 2006 term must meet writing, quantitative and breadth requirements as part of any degree program they may undertake. See for university-wide information.

WQB Graduation Requirements

A grade of C- or better is required to earn W, Q or B credit

Requirement

Units

Notes
W - Writing

6

Must include at least one upper division course, taken at 間眅埶AV within the student’s major subject
Q - Quantitative

6

Q courses may be lower or upper division
B - Breadth

18

Designated Breadth Must be outside the student’s major subject, and may be lower or upper division
6 units Social Sciences: B-Soc
6 units Humanities: B-Hum
6 units Sciences: B-Sci

6

Additional Breadth 6 units outside the student’s major subject (may or may not be B-designated courses, and will likely help fulfil individual degree program requirements)

Students choosing to complete a joint major, joint honours, double major, two extended minors, an extended minor and a minor, or two minors may satisfy the breadth requirements (designated or not designated) with courses completed in either one or both program areas.

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Residency Requirements and Transfer Credit

The University’s residency requirement stipulates that, in most cases, total transfer and course challenge credit may not exceed 60 units, and may not include more than 15 as upper division work.

Elective Courses

In addition to the courses listed above, students should consult an academic advisor to plan the remaining required elective courses.