Physics

The Department of Physics offers courses in physics, experimental physics, mechanics, quantum mechanics, thermodynamics, electricity, waves and optics, thermal and statistical physics, and relativity. The department also offers physics labs.

For questions about specific courses, contact the department:

Departmental Office: 704 Pupin
212-854-3348
Office Hours: Monday–Friday, 9:00 a.m.–5:00 p.m.

Web: http://www.columbia.edu/cu/physics

Registration for First-Year Courses

The department offers two beginning sequences in physics:

Physics F1201-F1202; with laboratory, but without calculus as a prerequisite; primarily for premedical students.

Physics C1401-C1403 or Physics C1601-C1602-C2601; three-term sequences, using calculus; primarily for engineering and physical science students. For those students who have had Advanced Placement in physics and calculus, the two-term sequence Physics C2801-C2802 is offered.


Directory of Classes

The course information displayed on this page relies on an external system and may be incomplete. Please visit Physics on the Directory of Classes for complete course information.

After finding your course in the Directory of Classes, click on the section number to open an expanded view. The "Open To" field will indicate whether the course is open to School of Professional Studies students. If School of Professional Studies is not included in the field, students may still be able to cross-register for the course by obtaining permission after being admitted to an academic program.


PHYS BC2001 Physics I: Mechanics. 4.5 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA)., Lab Required

Corequisites: Calculus I or the equivalent.

Fundamental laws of mechanics. Kinematics, Newton's laws, work and energy, conservation laws, collisions, rotational motion, oscillations, gravitation.

Fall 2017: PHYS BC2001
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 2001 001/01611 T Th 10:10am - 11:25am
Ll104 Diana Center
Reshmi Mukherjee 4.5 49
PHYS 2001 002/09888 T Th 10:10am - 11:25am
903 Altschul Hall
Reshmi Mukherjee 4.5 5
PHYS 2001 003/01333  
Stiliana Savin 4.5 0
PHYS 2001 004/04444 T Th 10:10am - 11:25am
530 Altschul Hall
Stiliana Savin 4.5 40
PHYS 2001 005/04667 T Th 10:10am - 11:25am
530 Altschul Hall
Stiliana Savin 4.5 2

PHYS BC2002 Physics II: Electricity and Magnetism. 4.5 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA)., Lab Required

Prerequisites: Physics BC2001 or the equivalent.
Corequisites: Calculus II.

Charge, electric field, and potential. Gauss's law. Circuits: capacitors and resistors. Magnetism and electromagnetism. Induction and inductance. Alternating currents. Maxwell's equations.

Spring 2017: PHYS BC2002
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 2002 001/07410 T Th 10:10am - 11:25am
328 Milbank Hall
Eric Raymer 4.5 56
PHYS 2002 002/08240 T Th 10:10am - 11:25am
328 Milbank Hall
Eric Raymer 4.5 2
PHYS 2002 003/01696  
Stiliana Savin 4.5 10

PHYS BC3001 Physics III: Classical Waves & Optics. 5 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA)., Lab Required

Prerequisites: Physics BC2002 or the equivalent.
Corequisites: Calculus III.

Nonlinear pendula, transverse vibrations-elastic strings, longitudinal sound waves, seismic waves, electromagnetic oscillations & light, rainbows, haloes, the Green Flash; polarization phenomena - Haidinger's Brush, Brewster's angle, double refraction, optical activity; gravity & capillary waves; interference, diffraction, lenses & mirrors.

Fall 2017: PHYS BC3001
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 3001 001/01361 T Th 10:00am - 11:30am
510c Altschul Hall
Timothy Halpin-Healy 5 16
PHYS 3001 001/01361 W 4:10pm - 8:00pm
510c Altschul Hall
Timothy Halpin-Healy 5 16
PHYS 3001 002/08802 T Th 10:00am - 11:30am
510c Altschul Hall
Timothy Halpin-Healy 5 1
PHYS 3001 003/06186 W 4:10pm - 8:00pm
510c Altschul Hall
Timothy Halpin-Healy 5 0

PHYS BC3006 Quantum Physics. 3 points.

Prerequisites: BC3001 or C2601 or the equivalent.

Wave-particle duality and the Uncertainty Principle. The Schrodinger equation. Basic principles of the quantum theory. Energy levels in one-dimensional potential wells. The harmonic oscillator, photons, and phonons. Reflection and transmission by one-dimensional potential barriers. Applications to atomic, molecular, and nuclear physics.

Spring 2017: PHYS BC3006
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 3006 001/07993 T Th 10:10am - 11:25am
514 Altschul Hall
Reshmi Mukherjee 3 14

PHYS BC3082 Advanced Physics Laboratory. 1.5 point.

Barnard College physics laboratory has available a variety of experiments meant to complement 3000-level lecture courses. Each experiment requires substantial preparation, as well as written and oral presentations. Elementary particle experiments: detectors, cosmic ray triggers, muon lifetime.

PHYS BC3086 Quantum Physics Laboratory. 3 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).

Experiments illustrating phenomenological aspects of the early quantum theory: (i) Hydrogenic Spectra: Balmer Series & Bohr-Sommerfeld Model; (ii) Photoelectric Effect: Millikan's Determination of h/e; (iii) Franck-Hertz Experiment; and (iv) Electron Diffraction Phenomena. Substantial preparation required, including written and oral presentations, as well as an interest in developing the knack and intuition of an experimental physicist. This course is best taken concurrently with PHYS BC3006 Quantum Physics.

Spring 2017: PHYS BC3086
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 3086 001/03377 F 9:00am - 10:00am
510b Altschul Hall
Reshmi Mukherjee 3 11

PHYS BC3088 Advanced Electromagnetism Laboratory. 3 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).

Classical electromagnetic wave phenomena via Maxwell's equations, including: (i) Michaelson and Fabry-Perot Interferometry, as well as a thin-film interference and elementary dispersion theory; (ii) Fraunhofer Diffraction (and a bit of Fresnel); (iii) Wireless Telegraphy I: AM Radio Receivers; and (iv) Wireless Telegraphy II: AM Transmitters. Last two labs pay homage to relevant scientific developments in the period 1875-1925, from the discovery of Hertzian waves to the Golden Age of Radio. Complements PHYS W3008 Electromagnetic Waves and Optics.

Fall 2017: PHYS BC3088
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 3088 001/01858 F 10:30am - 12:00pm
510b Altschul Hall
Stiliana Savin 3 8

PHYS C1001 Physics for Poets. 3 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).
Not offered during 2017-18 academic year.

Prerequisites: No previous background in physics is expected; high school algebra is required.

Introduction to physics with emphasis on quantum phenomena, relativity, and models of the atom and its nucleus. Offered in Spring 2011 only.

PHYS C1002 Physics for Poets. 3 points.

CC/GS: Partial Fulfillment of Science Requirement, BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).
Not offered during 2017-18 academic year.

Prerequisites: No previous background in physics is expected; high school algebra is required.

Introduction to physics with emphasis on quantum phenomena, relativity, and models of the atom and its nucleus. 

PHYS C1291 General Physics I Laboratory. 1 point.

Corequisites: Laboratory to accompany PHYS V1201-2, PHYS V1301-2, or PHYS V1001-2.

PHYS C1292 General Physics II Laboratory. 1 point.

Prerequisites: Laboratory to accompany V1201-2, V1301-2, or V1001-2.

PHYS C1401 Introduction to Mechanics and Thermodynamics. 3 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).

Corequisites: MATH V1101 or MATH V1105, or the equivalent.

Fundamental laws of mechanics, kinematics and dynamics, work and energy, rotational dynamics, oscillations, gravitation, fluids, temperature and heat, gas laws, the first and second laws of thermodynamics.

PHYS C1402 Introduction to Electricity, Magnetism, and Optics. 3 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA)., Lab Required

Prerequisites: PHYS C1401, or the equivalent.
Corequisites: MATH V1102 or V1106, or the equivalent.

Electric fields, direct currents, magnetic fields, alternating currents, electromagnetic waves, polarization, geometical optics, interference, and diffraction.

PHYS C2801 General Physics. 4 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA)., Recitation Section Required

Prerequisites: Advanced placement in mathematics or some knowledge of differential and integral calculus and permission of the departmental representative. (A special placement meeting is held during Orientation Week.)

Mechanics, heat, electricity, magnetism, and light.

PHYS C2802 General Physics. 4 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA)., Recitation Section Required

Prerequisites: Advanced placement in mathematics or some knowledge of differential and integral calculus and permission of the departmental representative. (A special placement meeting is held during Orientation week.)

Mechanics, heat, electricity, magnetism, and light.

PHYS GU4019 Mathematical Methods of Physics. 3 points.

Prerequisites: differential and integral calculus; linear algebra; PHYS W3003 and PHYS W3007; or the instructor's permission.

This course will present a wide variety of mathematical ideas and techniques used in the study of physical systems. Topics will include: ordinary and partial differential equations; generalized functions; integral transforms; Green’s functions; nonlinear equations, chaos, and solitons; Hilbert space and linear operators; Feynman path integrals; Riemannian manifolds; tensor analysis; probability and statistics. There will also be a discussion of applications to classical mechanics, fluid dynamics, electromagnetism, plasma physics, quantum mechanics, and general relativity.

Fall 2017: PHYS GU4019
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 4019 001/70892 M W 10:10am - 11:25am
420 Pupin Laboratories
Brian Metzger 3 23/100

PHYS GU4023 Thermal and Statistical Physics. 3 points.

Prerequisites: PHYS W4021 or the equivalent.

Thermodynamics, kinetic theory, and methods of statistical mechanics; energy and entropy; Boltzmann, Fermi, and Bose distributions; ideal and real gases; blackbody radiation; chemical equilibrium; phase transitions; ferromagnetism.

Fall 2017: PHYS GU4023
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 4023 001/27342 T Th 1:10pm - 2:25pm
329 Pupin Laboratories
Frederik Denef 3 54/100

PHYS UN1001 Physics for Poets. 3 points.

CC/GS: Partial Fulfillment of Science Requirement

Prerequisites: high school algebra.

This course does not fulfill the physics requirement for admission to medical school. No previous background in physics is expected. An introduction to physics taught through the exploration of the scientific method, and the application of physical principles to a wide range of topics from quantum mechanics to cosmology.

Spring 2017: PHYS UN1001
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 1001 001/22892 M W 2:40pm - 3:55pm
428 Pupin Laboratories
Szabolcs Marka 3 127/140

PHYS UN1291 General Physics Laboratory. 1 point.

Same course as PHYS W1291x, but given off-sequence.

Corequisites: PHYS W1201y.

This course is the laboratory for the corequisite lecture course and can be taken only during the same term as the corresponding lecture.

Spring 2017: PHYS UN1291
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 1291 001/61966 M 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 13/15
PHYS 1291 002/76375 M 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 9/15
PHYS 1291 003/74858 T 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 12/15
PHYS 1291 004/64480 T 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 9/15
PHYS 1291 005/17809 W 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 12/15
PHYS 1291 006/64268 W 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 5/15
PHYS 1291 007/61869 Th 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 14/15
PHYS 1291 008/74156 Th 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 9/15
PHYS 1291 009/67925 F 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 6/15
Fall 2017: PHYS UN1291
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 1291 001/21452 M 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 15/15
PHYS 1291 002/10062 M 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 15/15
PHYS 1291 003/67323 M 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 12/15
PHYS 1291 004/22799 M 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 12/15
PHYS 1291 005/75863 M 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 10/15
PHYS 1291 006/68967 M 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 13/15
PHYS 1291 007/72385 T 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 14/15
PHYS 1291 008/29961 T 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 14/16
PHYS 1291 009/16186 T 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 9/15
PHYS 1291 010/64117 T 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 12/15
PHYS 1291 011/23167 T 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 9/15
PHYS 1291 012/27691 T 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 12/15
PHYS 1291 013/74065 W 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 12/15
PHYS 1291 014/28513 W 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 12/15
PHYS 1291 015/13394 W 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 13/15
PHYS 1291 016/11326 W 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 15/15
PHYS 1291 017/67817 W 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 13/15
PHYS 1291 019/68973 Th 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 15/15
PHYS 1291 020/29005 Th 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 12/15
PHYS 1291 021/75327 Th 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 12/15
PHYS 1291 022/69519 Th 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 13/15
PHYS 1291 023/14769 Th 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 15/15
PHYS 1291 024/28004 Th 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 14/15
PHYS 1291 025/12938 F 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 15/15
PHYS 1291 026/23661 F 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Giuseppina Cambareri 1 10/15

PHYS UN1493 Introduction to Experimental Physics. 3 points.

Prerequisites: PHYS W1401 and W1402.

Laboratory work associated with the two prerequisite lecture courses. Experiments in mechanics, thermodynamics, electricity, magnetism, optics, wave motion, atomic physics, and nuclear physics. Note: Students cannot receive credit for both PHYS W1493 and W1494.

Fall 2017: PHYS UN1493
Course Number Section/Call Number Times/Location Instructor Points Enrollment
PHYS 1493 001/61060 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 12/13
PHYS 1493 001/61060 T 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Nathan Saffold 3 12/13
PHYS 1493 002/21714 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 10/13
PHYS 1493 002/21714 T 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Nathan Saffold 3 10/13
PHYS 1493 003/61205 W 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Nathan Saffold 3 10/13
PHYS 1493 003/61205 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 10/13
PHYS 1493 004/19894 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 9/13
PHYS 1493 004/19894 W 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Nathan Saffold 3 9/13
PHYS 1493 005/16957 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 9/13
PHYS 1493 005/16957 W 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Nathan Saffold 3 9/13
PHYS 1493 006/23968 Th 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Nathan Saffold 3 13/13
PHYS 1493 006/23968 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 13/13
PHYS 1493 007/23867 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 13/13
PHYS 1493 007/23867 Th 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Nathan Saffold 3 13/13
PHYS 1493 008/71940 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 13/13
PHYS 1493 008/71940 Th 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Nathan Saffold 3 13/13
PHYS 1493 009/12172 F 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Nathan Saffold 3 6/13
PHYS 1493 009/12172 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 6/13
PHYS 1493 010/67765 M 1:00pm - 4:00pm
5th Flr Pupin Laboratories
Nathan Saffold 3 9/13
PHYS 1493 010/67765 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 9/13
PHYS 1493 011/21701 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 11/13
PHYS 1493 011/21701 M 4:10pm - 7:10pm
5th Flr Pupin Laboratories
Nathan Saffold 3 11/13
PHYS 1493 012/22577 T 3:00pm - 3:55pm
301 Pupin Laboratories
Nathan Saffold 3 12/13
PHYS 1493 012/22577 M 7:30pm - 10:30pm
5th Flr Pupin Laboratories
Nathan Saffold 3 12/13

PHYS V1201 General Physics I. 3 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).

Prerequisites: This course will use elementary concepts from calculus. Students should therefore have had some high school calculus, or be concurrently enrolled in MATH V1101.
Corequisites: Taken with accompanying lab PHYS V1291-V1292, the sequence PHYS V1201-C1202 satisfies requirements for medical school.

Mechanics, fluids, thermodynamics.

PHYS V1202 General Physics II. 3 points.

BC: Fulfillment of General Education Requirement: Quantitative and Deductive Reasoning (QUA).

Prerequisites: This couse will use elementary concepts from calculus. Students should therefore have had some high school calculus, or be cuncurrently enrolled in MATH V1101.
Corequisites: Taken with accompanying lab PHYS V1291-2, the sequence PHYS V1201-2 satisfies requirements for medical school.

Electricity, magnetism, optics, and modern physics.

PHYS V1900 Seminar in Contemporary Physics and Astronomy. 1 point.

Prerequisites: (or corequisite) Any 1000-level course in the Physics or Astronomy departments. This course may be repeated for credit only with the instructor's permission.

Lectures on current areas of research with discussions of motivation, techniques, and results, as well as difficulties and unsolved problems. Each student submits a written report on one field of active research.

PHYS W1402 Introduction To Electricity, Magnetism, and Optics. 3 points.

CC/GS: Partial Fulfillment of Science Requirement

Prerequisites: PHYS W1401.
Corequisites: MATH V1102 or the equivalent.

Electric fields, direct currents, magnetic fields, alternating currents, electromagnetic waves, polarization, geometrical optics, interference, and diffraction.

PHYS W1494 Introduction to Experimental Physics. 3 points.

Prerequisites: PHYS W1401 and W1402.

Laboratory work associated with the two prerequisite lecture courses. Experiments in mechanics, thermodynamics, electricity, magnetism, optics, wave motion, atomic physics, and nuclear physics. Note: Students cannot receive credit for both PHYS W1493 and W1494.

PHYS W2699 Experiments in Classical and Modern Physics. 3 points.

CC/GS: Partial Fulfillment of Science Requirement

Prerequisites: PHYS W1601 (or W1401), W1602 (or W1402), and W2601.

Laboratory work associated with the three prerequisite lecture courses. Experiments in mechanics, thermodynamics, electricity, magnetism, optics, wave motion, atomic physics, and nuclear physics.

PHYS W3002 From Quarks To the Cosmos: Applications of Modern Physics. 3.5 points.

Not offered during 2017-18 academic year.

Prerequisites: W2601 or W2802

This course reinforces basic ideas of modern physics through applications to nuclear physics, high energy physics, astrophysics and cosmology. The ongoing Columbia research programs in these fields are used as practical examples. The course is preparatory for advanced work in physics and related fields.

PHYS W3018 Weapons of Mass Destruction. 3 points.

CC/GS: Partial Fulfillment of Science Requirement, BC: Fulfillment of General Education Requirement: Reason and Value (REA).

Prerequisites: high school science and math.

A review of the history and environmental consequences of nuclear, chemical, and biological weapons of mass destruction (WMD); of how these weapons work, what they cost, how they have spread, how they might be used, how they are currently controlled by international treaties and domestic legislation, and what issues of policy and technology arise in current debates on WMD. What aspects of the manufacture of WMD are easily addressed, and what aspects are technically challenging? It may be expected that current events/headlines will be discussed in class.

PHYS W4011 Particle Astrophysics and Cosmology. 3 points.

Not offered during 2017-18 academic year.

Prerequisites: PHYS W1403, W2601 or W2802; MATH V1202 or V1208; students are recommended but not required to have taken PHYS W3003 and W3007.

An introduction to the basics of particle astrophysics and cosmology. Particle physics - introduction to the Standard Model and supersymmetry/higher dimension theories; Cosmology – Friedmann-Robertson-Walker line element and equation for expansion of universe; time evolution of energy/matter density from the Big Bang; inflationary cosmology; microwave background theory and observation; structure formation; dark energy; observational tests of geometry of universe and expansion; observational evidence for dark matter; motivation for existence of dark matter from particle physics; experimental searches of dark matter; evaporating and primordial black holes; ultra-high energy phenomena (gamma-rays and cosmic-rays).

PHYS W4040 Introduction to General Relativity. 3 points.

Prerequisites: PHYS W3003, PHYS W3007 or the equivalent.

Tensor algebra, tensor analysis, introduction to Riemann geometry. Motion of particles, fluid, and fields in curved spacetime. Einstein equation. Schwarzschild solution; test-particle orbits and light bending. Introduction to black holes, gravitational waves, and cosmological models.

PHYS W4050 Introduction to Particle Physics. 3 points.

Not offered during 2017-18 academic year.

Prerequisites: PHYS W2601 or W2802, or the equivalent.

Review of key concepts in quantum mechanics and special relativity. Conservation laws, decays, interactions, oscillations. Atoms, nuclei, hadrons (protons and neutrons) and quarks. Current theoertical and experimental challenges, including physics at the Large Hadron Collider.

PHYS W4075 Biology at Physical Extremes. 0 points.

Prerequisites: one year each of introductory physics and biology.

This is a combined lecture/seminar course designed for graduate students and advanced undergraduates. The course will cover a series of cases where biological systems take advantage of physical phenomena in counter intuitive and surprising ways to accomplish their functions. In each of these cases, we will discuss different physical mechanisms at work. We will limit our discussions to simple, qualitative arguments. We will also discuss experimental methods enabling the study of these biological systems. Overall, the course will expose students to a wide range of physical concepts involved in biological processes.

PHYS W4080 Scientific Computing. 3 points.

Not offered during 2017-18 academic year.

Prerequisites: PHYS W3003, PHYS W3008, PHYS W4021, PHYS W4023 or the instructor permission.

This course is intended to provide an introduction to scientic computing for Physics and other physical science undergraduates. Methods of computing will be taught through solving a variety of physical science problems. Previous programming experience is useful, but not required. The course will introduce the C++ programming language and also make use of Python and MATLAB in class and in exercises. The first part of the course will introduce these software tools and explore basic numerical algorithms for dierential equations and matrices, emphasizing numerical stability and performance. These algorithms will then be used to explore physical phenomena, such as the equation of state for a simple gas, electromagnetic wave propgation and statistical mechanics systems. A brief discussion of parallel computing techniques will be included, with a chance to implement some parallel algorithms.

The University reserves the right to withdraw or modify the courses of instruction or to change the instructors as may become necessary.