Astronomy
Astronomy
Astronomy
Administrative Information
Director of Undergraduate Studies: Prof. Mary E. Putman, 1318 Pupin; 854-6831; mputman@astro.columbia.edu
Departmental Office: 1328 Pupin; 854-3278
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Professors Associate Professors |
Assistant Professors Adjunct Professors Adjunct Associate Professor On Leave |
Astronomy is, at once, the oldest science and one of the most vibrant fields of modern research. Its goal is to construct testable, quantitative, coherent models of the universe (the UNIty of the diVERSE) and its contents-galaxies, stars, and planets. The department offers two majors, both of which require a solid grounding in the mathematics and physics necessary for the pursuit of the discipline.
The astrophysics major is designed as preparation for graduate study and consists of a significant fraction of a standard physics major sequence; a year-long introduction to astrophysics (typically taken in the sophomore year, but open to first-year students with an adequate preparation in calculus and physics); and two required courses covering advanced topics in astronomy. Research, in the form of summer internships and/or term-time independent projects, which can lead to a senior thesis, is strongly encouraged. Students wishing to pursue independent, supervised research are encouraged to enroll in C3997 or C3998. For a senior thesis, students should enroll in the parallel, two-semester sequence C3997-C3998, in the fall and spring semesters of their senior year. In this sequence, student are required to attend the department colloquia in the fall semester, as well as a special seminar designed to help student understand the colloquium topic. The research project is begun in the fall, and it is completed and written into a thesis in the spring semester. C3997 and C3998 cannot be repeated for credit.
The astronomy major also provides a basis for further study in the field, but it is designed to be more compatible with liberal arts students who may pursue other careers and for students wishing to combine astronomy with related sciences other than physics, such as chemistry or geology. It requires only two physics courses beyond the introductory sequence and can be completed easily if begun in the sophomore year.
For introductory astronomy courses, the Department offers numerous 1000 level courses with no prerequisites and the calculus-based ASTR C2001- C2002 Introduction to Astrophysics I and II sequence that is recommended for astronomy majors and concentrators and is required for astrophysics majors. Each semester, there are at least two 3000 level courses taught. ASTR C3601 General Relativity, Black Holes, and Cosmology, ASTR C3602 Physical Cosmology, and ASTR C3646 Observational Astronomy are usually given in alternate years and other 3000 level courses are taught in various semesters. The 3000 level courses need not be taken in any particular order.
Undergraduate Requirements
Regulations for all Astronomy Majors, Concentrators, and Interdepartmental Majors
Courses in which the grade of D has been received do not count toward the major or concentration requirements.
For a Major in Astronomy
Students contemplating graduate study are advised to include at least two of these physics courses: PHYS W3003 Mechanics, PHYS W3007 Electricity and magnetism, and PHYS G4021 Quantum mechanics, I or PHYS BC3006 Quantum physics. One of these may be substituted for three points of astronomy.
The major should be planned with the director of undergraduate studies before the beginning of the junior year. The requirements for the major are as follows:
- Calculus sequence through MATH V1202 Calculus IV or MATH V1208 Honors mathematics IV
- One of the following:
- Two 3 point 1000-level astronomy courses and 12 points in astronomy at the 2000 level or above
- ASTR C2001-C2002 Introduction to astrophysics, I and II and 9 points in astronomy at the 3000 level or above
- One of the following sequences:
- PHYS C1401 Introduction to mechanics and thermal dynamics, PHYS C1402 Introduction to electricity, magnetism, and optics, PHYS C1403 Introduction to classical and quantum waves
- PHYS C1601 Physics I: mechanics and relativity, PHYS C1602 Physics II: thermodynamics, electricity, and magnetism, PHYS C2601 Physics III, classical and quantum waves
- PHYS C2801-C2802 Accelerated physics, I and II
- Two physics courses at the 3000 level or above
For a Major in Astrophysics
Students who have majored in astrophysics are qualified to proceed to graduate work in physics or in astronomy.
A minimum of 50 points, to be planned with the director of undergraduate studies before the beginning of the junior year as follows:
- Calculus sequence through MATH V1202 Calculus IV or MATH V1208 Honors mathematics IV .
- ASTR C2001-C2002 Introduction to astrophysics, I and II
- Six points in astronomy at the 3000 level or above
- One of the following sequences:
- PHYS C1401 Introduction to mechanics and thermal dynamics, PHYS C1402 Introduction to electricity, magnetism, and optics, PHYS C1403 Introduction to classical and quantum waves
- PHYS C1601 Physics I: mechanics and relativity, PHYS C1602 Physics II: thermodynamics, electricity, and magnetism, PHYS C2601 Physics III, classical and quantum waves
- PHYS C2801-C2802 Accelerated physics, I and II
- PHYS W3003 Mechanics
- PHYS W3007 Electricity and magnetism
- PHYS W3008 Electromagnetic waves and optics
- PHYS G4021 Quantum mechanics, I or BC3006 Quantum physics
- PHYS G4022 Quantum mechanics II or PHYS G4023 Thermal and statistical physics
For a Concentration in Astronomy
An extra three points of physics can substitute for three points of astronomy, as long as the course submitted is at the equivalent or higher level. The requirements for the concentration are as follows:
- Nine points of mathematics
- 15 points of astronomy, nine of which must be at or above the 2000 level
- Nine points of physics
ASTR C1234-C1235 The Universal Timekeeper: an Introduction To Scientific Habits of Mind 3 pts.Not offered in 2013-2014. Facility with high school algebra is assumed. C1234 is highly recommended as a prerequisite for C1235. Introduction to ideas and models of thought in the physical sciences, using the atomz as an imperturbable clock to explore applications such as measuring the age of the Shroud of Turin, determining the diets of ancient civilizations, charting the history of earth's climate, and unraveling the history of the universe.
ASTR C1403x and y Earth, Moon and Planets (Lecture) 3 pts. Prerequisites: Recommended preparation: a working knowledge of high school algebra. The overall architecture of the solar system. Motions of the celestial sphere. Time and the calendar. Major planets, the earth-moon system, minor planets, comets. Life in the solar system and beyond. This course is similar to ASTR BC 1753. You cannot enroll in both courses and receive credit for both.
ASTR C1404x and y Stars, Galaxies and Cosmology (Lecture) 3 pts. Distances to, and fundamental properties of, nearby stars; nucleosynthesis and stellar evolution; novae and supernovae; galaxies; the structure of the universe and theories concerning its origin, evolution, and ultimate fate. You cannot enroll in ASTR C1404 in addition to one of the following ASTR BC1754, ASTR C1420 or ASTR C1836 and received credit for both.
ASTR C1420 Galaxies and Cosmology. 3 pts.Not offered in 2013-2014. Galaxies contain stars, gas dust and (usually) super-massive black holes. They are found throughout the Universe, traveling through space and occasionally crashing into each other. This course will look at how these magnificent systems form and evolved, and what can they tells us about the formation and evolution of the Universe itself. You cannot enroll in ASTR C1420 in addition to ASTR BC1754 or ASTR C1404 and receive credit for both.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Spring 2013 :: ASTR C1420 | |||||
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ASTR 1420 |
77380 001 |
MW 1:10p - 2:25p 420 PUPIN LABORATORIES |
M. Putman | 37 |
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ASPG C1453y Another Earth 3 pts.
ASTR C1610x Theories of the Universe: From Babylon to the Big Bang 3 pts. Milestones in the science of cosmology over the past 6000 years. Skylore and observation in ancient cultures. The twin revolutions of the Greeks: Pythagoras and Ptolemy. Aristotle, Aquinas, and the Great Chain of Being. The "scientific revolution": the impersonal and deterministic world-order of Newton, Laplace, and Kelvin. The erosion of that world-order by mathematics and experiment in the 20th century (relativity, quantum physics, dark matter, and the expanding universe). Today's searches for a new grand order in the Universe, which can cope-or maybe not-with these blows to yesterday's comfortable wisdom.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Autumn 2013 :: ASTR C1610 | |||||
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ASTR 1610 |
27964 001 |
MW 1:10p - 2:25p TBA |
J. Patterson | 47 |
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ASTR BC1753x Life in the Universe 3 pts. Prerequisites: Recommended preparation: a working knowledge of high school algebra. Introduction to astronomy intended primarily for nonscience majors. Includes the history of astronomy; the apparent motions of the moon, sun, stars, and planets; gravitation and planetary orbits; the physics of the earth and its atmosphere; and the exploration of the solar system. This course is similar to ASTR C1403. You cannot enroll in both courses and receive credit for both.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Autumn 2013 :: ASTR BC1753 | |||||
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ASTR 1753 |
05927 001 |
TuTh 2:40p - 3:55p TBA |
L. Kay | 67 |
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ASTR BC1754y Stars, Galaxies and Cosmology 3 pts. Prerequisites: Recommended preparation: a working knowledge of high school algebra. The properties of stars, star formation, stellar evolution and nucleosynthesis, the Milky Way and other galaxies, and the origin and evolution of the universe. You cannot enroll in ASTR BC1754 in addition to one of the following ASTR C1404, ASTR C1420 or ASTR C1836 and received credit for both.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Spring 2013 :: ASTR BC1754 | |||||
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ASTR 1754 |
05649 001 |
TuTh 2:40p - 3:55p 202 ALTSCHUL HALL |
L. Kay | 94 |
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ASTR C1836x Stars and atoms 3 pts. Prerequisites: Recommended preparation: a working knowledge of high school algebra. What is the origin of the chemical elements? This course addresses this question, starting from understanding atoms, and then going on to look at how how atoms make stars and how stars make atoms. The grand finale is a history of the evolution of the chemical elements throughout time, starting from the Big Bang and ending with YOU. You cannot enroll in ASTR C1836 in addition to ASTR BC1754 or ASTR C1404 and receive credit for both. Science Requirement: Partial Fulfillment.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Autumn 2013 :: ASTR C1836 | |||||
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ASTR 1836 |
18671 001 |
TuTh 10:10a - 11:25a TBA |
K. Johnston | 22 |
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ASTR C1903x Astronomy Lab 1 1 pt. Laboratory for ASTR C1403. Projects include observations with the department's telescopes, computer simulation, laboratory experiments in spectroscopy, and the analysis of astronomical data. Lab 1 ASTR C1903 - goes with ASTR BC1753 or ASTR C1403.
ASTR C1904y Astronomy Lab 2 1 pt. Laboratory for ASTR C1404. Projects include use of telescopes, laboratory experiments in the nature of light, spectroscopy, and the analysis of astronomical data. Lab 2 ASTR C1904 - goes with ASTR BC1754 or ASTR C1404 (or ASTR C1836).
ASTR C2001x Introduction To Astrophysics, I 3 pts. Prerequisites: A working knowledge of calculus. Corequisites: A course in calculus-based general physics. First term of a two-term calculus-based introduction to astronomy and astrophysics. Topics include the physics of stellar interiors, stellar atmospheres and spectral classifications, stellar energy generation and nucleosynthesis, supernovae, neutron stars, white dwarfs, and interacting binary stars.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Autumn 2013 :: ASTR C2001 | |||||
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ASTR 2001 |
15164 001 |
TuTh 1:10p - 2:25p TBA |
F. Paerels | 18 |
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ASTR C2002y Introduction To Astrophysics, II 3 pts. Prerequisites: A working knowledge of calculus. Corequisites: The second term of a course in calculus-based general physics. Continuation of ASTR C2001; these two courses constitute a full year of calculus-based introduction to astrophysics. Topics include the structure of our galaxy, the interstellar medium, star clusters, properties of external galaxies, clusters of galaxies, active galactic nuclei, and cosmology.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Spring 2013 :: ASTR C2002 | |||||
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ASTR 2002 |
20569 001 |
TuTh 1:10p - 2:25p 1332 PUPIN LABORATORIES |
K. Johnston | 17 |
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ASTR C2900y Frontiers of Astrophysics 1 pt. Several members of the faculty each offer a brief series of talks providing context for a current research topic in the field and then present results of their ongoing research. Opportunities for future student research collaboration are offered. Grading is Pass/Fail.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Spring 2013 :: ASTR C2900 | |||||
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ASTR 2900 |
29529 001 |
F 10:10a - 11:25a 1332 PUPIN LABORATORIES |
J. Patterson | 13 |
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ASTR C3101 Stellar Structure and Evolution 3 pts.Not offered in 2013-2014. Prerequisites: one year of calculus-based general physics. Topics include the physics of stellar, structure, stellar atmospheres, nucleosynthesis, stellar evolution, interacting binary stars, white dwarfs, and neutron stars. Offered in alternate years.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Spring 2013 :: ASTR C3101 | |||||
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ASTR 3101 |
73141 001 |
MW 2:40p - 3:55p 420 PUPIN LABORATORIES |
M. Agueros | 16 |
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ASTR C3102 Planetary Dynamics & Physics of the Solar System 3 pts.Not offered in 2013-2014. Prerequisites: One year of calculus based Physics. The physics and astrophysics of planets, comets, asteroids, natural and artificial satellites, and pretty much anything in the Solar System - including the Sun. Detailed study of the Earth's atmosphere and oceans: circulations, climate, and weather. Orbital dynamics. The emerging science of extrasolar planets. The origin, evolution, and eventual fate of planets.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Spring 2013 :: ASTR C3102 | |||||
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ASTR 3102 |
14935 001 |
TuTh 2:40p - 3:55p 1332 PUPIN LABORATORIES |
A. Crotts | 6 |
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ASTR C3103 The Galaxy and the Interstellar Medium 3 pts.Not offered in 2013-2014. Prerequisites: one year of calculus-based general physics. The structure of galaxies and the physical processes that underlie it. Topics include: current galactic structure, the interstellar medium, dark matter, gas dynamics, shocks, gravitational collapse, star formation, supernovae remnants, stellar dynamics, spiral arms, galaxy formation.
ASTR C3105 Extrasolar Planets and Astrobiology (Lecture) 3 pts.Not offered in 2013-2014. Prerequisites: one year of calculus based physics. The emerging field of extrasolar planets and astrobiology will be covered at a quantitative level, with a major emphasis on astrophysical phenomenae and techniques. The subject will be introduced through an investigation of current planetary formation theories and approaches to planet detection, including what we currently know about extrasolar planets and detailed reference to state-of-the-art studies. An astronomer's view of the origin of life and extreme biology will be developed and applied to questions of cosmo-chemistry, observable life-signatures, habitable zones and other astrophysical constraints on the development of organisms.
ASTR C3106x The Science of Space Exploration 3 pts. Prerequisites: *ASTR C3106 The Science of Space Exploration* 3 pts. /A. Crotts, C. Scharf./ Prerequisites: One semester course in introductory astronomy or astrophysics e.g., ASTR C1403, ASTR C1404, ASTR C1420, ASTR C1836, ASTR C2001, ASTR C2002, ASTR BC1753 and ASTR BC1754. Ability in mathematics up to and including calculus is strongly urged. How and why do humans explore space? Why does it require such extraordinary effort? What have we found by exploring our Solar System? We investigate the physics and biological basis of space exploration, and the technologies and science issues that determine what we can accomplish. What has been accomplished in the past, what is being explored now, and what can we expect in the future? How do space scientists explore the Solar System and answer science questions in practice? What do we know about solar systems beyond our own?
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Autumn 2013 :: ASTR C3106 | |||||
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ASTR 3106 |
25488 001 |
TuTh 2:40p - 3:55p TBA |
A. Crotts C. Scharf |
9 |
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ASTR C3273y High Energy Astrophysics 3 pts. Prerequisites: One year of calculus-based general physics. Physics majors could take this course with no previous astronomy background. The properties of compact astronomical objects such as white dwarfs, neutron stars, and black holes; and their manifestations in pulsars, novae, supernova remnants, quasars, and active galactic nuclei. High-energy radiation mechanism and the instrumentation of high-energy astrophysics are also covered.
ASTR C3601x General Relativity, Black Holes, and Cosmology 3 pts. Prerequisites: one year of calculus-based general physics. Einstein's General Theory of Relativity replaced Newtonian gravity with an elegant theory of curved spacetime. Einstein's theory led to unforseen and unnerving predictions of singularities and cosmological instabilities. Nearly a century later, these mathematical oddities have been confirmed astrophysically in the existence of black holes, an expanding universe, and a big bang. The course will cover Einstein's General Theory, beginning with special relativity, with an emphasis on black holes and the big bang.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Autumn 2013 :: ASTR C3601 | |||||
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ASTR 3601 |
08872 001 |
MW 1:10p - 2:25p TBA |
J. Levin | 29 |
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ASTR C3602y Physical Cosmology 3 pts. Prerequisites: One year of calculus-based general physics. The standard hot big bang cosmological model and modern observational results that test it. Topics include the Friedmann equations and the expansion of the universe, dark matter, dark energy, inflation, primordial nucleosynthesis, the cosmic microwave background, the formation of large-scale cosmic structures, and modern cosmological observations.
ASTR C3646y Observational Astronomy Lecture & Lab. 3 pts. Prerequisites: One year of general astronomy. Introduction to the basic techniques used in obtaining and analyzing astronomical data. Focus on "ground-based" methods, at optical, infrared, and ultraviolet wavelengths. Regular use of the telescope facilities atop the roof of the Pupin Labs, to acquire photometry and spectroscopy of stars, planets, and nebulae. There will also be apportunity to acquire and analyze data from National Observatories, and from spacecraft. Given in alternate years.
ASTR C3996x Current Research in Astrophysics 1 pt. Prerequisites: Two semesters of Astronomy classes and two semesters of Physics classes. The goals of this course is to introduce Astronomy and Astrophysics majors to the methods and topics of current astronomical research. The course will also help with the development of critical thinking skills. Each week the topic of the course will be centered on the subject of the Astronomy department colloquium; this may include research on planets, stars, galaxies or cosmology. There will be two required meetings per week: the first to discuss papers related to the colloquium (time TBD), and the second the colloquium itself (at 4:15 pm each Wednesday). Grading is Pass/Fail.
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Course Number |
Call Number/ Section |
Days & Times/ Location |
Instructor | Enrollment | |
| Autumn 2013 :: ASTR C3996 | |||||
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ASTR 3996 |
25547 001 |
TBA | M. Putman | 0 |
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ASTR C3997x-C3998y Independent Research 1-3 pts. Prerequisites: This class requires the Instructor's permission to register. For an independent research project or independent study, a brief description of the proposed project or reading, with the supervising faculty member's endorsement, is required for registration. A variety of research projects conducted under the supervision of members of the faculty. Observational, theoretical, and experimental work in galactic and extragalactic astronomy and cosmology. The topic and scope of the work must be arranged with a faculty member in advance; a written paper describing the results of the project is required at its completion (note that a two-term project can be designed such that the grade YC is given after the first term). Senior majors in astronomy or astrophysics wishing to do a senior thesis should make arrangements in May of their junior year and sign up for a total of 6 points over their final two terms. Both a substantial written document and an oral presentation of thesis results are required.
ASTR W4260x Modeling the Universe 3 pts. Prerequisites: One year of calculus-based general physics. The goal of this course is to provide a basic hands-on introduction to the practice and theory of scientific computing with applications in astronomy and astrophysics. The course will include an introduction to programming as well as a sampling of methods and tools from the field of scientific computing. The course will include a hands-on project in which students use numerical methods to solve a research problem. Students who are interested in participating in research projects are strongly encouraged to take the course in their sophomore or junior year.
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