The Undergraduate Concentration
Course List
 

Courses Relevant to the Astronomy Concentration at Harvard University C*=intended for concentrators, N*=intended for non-concentrators, G*=graduate students (or qualified undergrads), Pre/Con=can be taken concurrently. Not all courses are offered every year. Check Courses of Instruction for the current year.

Department No. Title Comments
Astronomy 1 The Astronomical Universe N* Introductory course, requires only basic algebra skills.
Astronomy 2 Celestial Navigation N* Primarily practical lab activities (learn to use a sextant and compass, etc.)
Astronomy 5 [Planets Orbiting Other Stars] N* Survey of Solar system; techniques to detect extrasolar planets. Pre: high school math or physics or taken one of Science A-35, Science A-47 or Science A-54.
Astronomy 7 Black Holes and the Violent Universe C* Black holes, neutron stars, white dwarfs and related energetic phenomena. Pre: high school math or physics or taken one of Science A-35, Science A-47 or Science A-54.
Astronomy 9 [The Origin & Evolution of the Universe] C* How did Universe we observe come into being & form? How far back can this history be trusted? Pre: high school math or physics, or taken one of Science A-35, Science A-36, Science A-47, or Science A-54.
Astronomy 16 Stars and Gas in the Milky Way C* Intro to fundamental astronomical principles underlying behavior of stars and interstellar gas. Pre: Physics 15a or take concurrently
Astronomy 91r Supervised Reading & Research C* Supervised reading and research in subjects not normally included in the regular course offerings of the dept. Often in lieu of thesis
Astronomy 97hf Introductory Tutorial C* Sophomores or qualified frosh meet with several members of dept.
Astronomy 98hf Junior Tutorial C* weekly research talks plus demi-thesis.
Astronomy 99 Senior Thesis C* for Honors Concentrators
Astronomy 135 [Planetary System Astronomy] C*/G* Formerly Astronomy 50.Formation, evolution, dynamics, patterns of our solar system, planetary systems in general. Pre: Phys 15a,b,c, or Phys 11a, b, & permission of instructor.
Astronomy 145 Topics in Astrophysics C*/G* Required for Honors concentrators. Pre/Con: Phys 143a.
Astronomy 150 Radiative Processes in Astrophysics C*/G* Applications to radio, infrared, optical, x-ray, and gamma-ray astronomy. Pre/Con: Phys 143a.
Astronomy 151 Astrophysical Dynamics C*/G* Fluid & gas dynamics with applications drawn from astrophysical phenomena.
Astronomy 191 Astrophysics Laboratory C*/G* Very popular, satisfies Physics Lab. requirement. Pre: Phys 15c/equiv.
Astronomy 192 Tools and Techniques of Astronomical Measurements C*/G* Observational techniques course, including measurement of radiation from astronomical sources at all wavelengths and frequencies. Telescopes and basic instrumentation and methods for many techniques. Pre: Phys 15a,b,c and Appl.Math 105/equivs.
Astronomy 193 [Noise and Data Analysis in Astrophysics] C*/G* How to design experiments to get the most information. Noise processes. Image processing & restoration techniques. Pre: Math 21b/equiv.
Astronomy 200hf. Seminar in Modern Astrophysics and Cosmology G* Topical areas in modern astrophysics & astronomy. Different topic each semester. Two semesters req. for credit.
Astronomy 201a. [Stellar and Planetary Astrophysics] G* Stars studied as (1) elementary (baryonic) building blocks of Universe, (2) and main source of the evolution of matter (nucleosynthesis).
Astronomy 201b. [Interstellar Medium and Star Formation] G* Nature of the Interstellar Medium. Processes leading to formation of stars & planets, impact of star formation on ISM. Exchange between galactic maertial and the intergalactic medium.
Astronomy 202a. Galaxies and Dynamics G* Observational & theoretical overview of extragalactic astronomy with emphasis on dynamics.
Astronomy 202b Cosmology G* Cosmological principle: isotrophy & homogeneity, cosmological world models, thermal history of Big Bang, microwave background, growth of density fluctuations, formation & evolution of galaxies, active galactic nuclei, large scale structure, structure of galaxies & clusters of galaxies, gravitational lensing, candidates for dark matter, measurements of cosmological parameters.
Astronomy 218 Radio Astronomy G* Theory, and radio observations of the sun, planets, pulsars, masers, hydrogen and molecular clouds, quasars, cosmic background and more! Pre: Ast. 150 or Phys. 153 recommended.
Astronomy 219 [High Energy Astrophysics] G* Relativistic and high-energy astrophysical phenomena.
Astronomy 225 Formation of Stars and Planets G* Multidisciplinary overview of many topics related to star and planet formation.
Astronomy 251 [Quantum Mechanics for Astrophysics] G* Quantum mechanics with application to atomic & molecular processes important in astronomical environments.Pre: Physics 143a/equiv or perm. of instr.
Astronomy 300 Topics in Modern Astrophysics G* Graduate seminar, reading, or research course may be arranged with a faculty member.
Astronomy 301hf Research Forum G* Training in clear presentation of scientific ideas.
Astronomy 302 Scientists Teaching Science G* Learn to lecture, lead discussions, create tests. Focus on educational research & case studies. Pre: Experience as instructor of science or as teaching fellow.
Science A-35 Matter in the Universe N* The nature and history of matter revealed by astronomical observation and experimental physics.
Science A-36 Observing the Sun and Stars N* The nature of the sun and the stars with emphasis on direct observations.
Science A-47 Cosmic Connections N* Origin & evolution of stars & planets, and will consider connections between astronomical events & conditions that seem necessary for life to develop.
Physics 11a Mechanics C* Motion of particles and rigid bodies, waves, kinetics. Pre/Con: Math 21a or 22a
Physics 11b Electricity, Magnetism, & Waves C* Electricity, magnetism, circuits, waves, optics, etc. Pre: Phys 11a, Math 21a or 23a.
Physics 15a Introductory Mechanics and Relativity C* Newtonian mechanics and special relativity. Pre: Math 1b/equiv. Encouraged to take Math 21a concurrently.
Physics 15b Introductory Electromagnetism C* Maxwell's equations in differential form, electric and magnetic fields in materials. Lab work at home. Pre: Phys 15a, 16/equiv., Pre/Con: Math 21a.
Physics 15c Wave Phenomena C* Forced oscillation and resonance, Fourier series, polarization, etc. Pre: Phys 15b, Pre/Con: Math 21b.
Physics 16 Mechanics and Special Relativity C* Advanced version of 15a. Pre: score of 4 or 5 on mechanics section of Physics C AP exam/equiv. Pre/Con: Math 21a/equiv.
Physics 123 Laboratory Electronics C*/G* Lab-intensive intro to electronic circuit design. Develop circuit intuition & debugging skills. Treatment moves from passive circuits through design with discrete transitors. Digital half of course ephasizes use of programmable logic devices, microprocessors & microcontrollers; issues that arise in interfacing analog & digital devices to a computer.
Physics 125 Widely Applied Physics C*/G* Very popular course applies elementary physics to real things and practical situations. Pre: Phys 15a,b,c, Pre/Con: Math 21a/equiv. Recommended: Phys 143a, 181
Physics 143a Quantum Mechanics I C*/G* Intro to nonrelativistic quantum: uncertainty relations, Schrodinger equation, tunneling, spin, etc. Pre: Phys 15c or per of Director of Undergraduate Stufies.
Physics 143b Quantum Mechanics II C*/G* Further techniques and applications of QM. Pre: Phys 143a
Physics 145 Elementary Particle Physics C*/G* Emphasis on concepts and phenomenology, taught partly in seminar mode. Pre: Phys 143a. Recommended: Phys 143b/equiv.
Physics 151 Mechanics C*/G* Lagrangian, Hamilton's eqns., etc. Pre: Phys 15a,b or permission of Director of Undergraduate Studies, Math 21a,b/equiv. Recommended: Phys 143a
Physics 153 Electrodynamics C*/G* Aimed at advanced undergrads. Properties and sources of field vectors and wave aspect of EM fields, applications. Pre: Phys 15 a,b,and c, or perm of Director of Undergraduate Studies; Math 21a,b/equiv.
Physics 181 Statistical Mechanics and Thermodynamics C*/G* Intro to thermal physics. Some students take ES-181 instead. Pre: Phys 143a/equiv.
Physics 191r Advanced Laboratory C*/G* Experimental projects. equiv. to Astro. 191 or Applied Phys 191. Pre: Phys 15 Recommended: Phys 143
Physics 210 General Theory of Relativity G* Introduction to general relativity. Pre: Phys 151, 153, Math 21/equiv.
Physics 211 General Relativity, Cosmology and Other Topics G* Equivalent to Astro 211 Pre: Phys 210/equiv. Recommended: Phys 253a.
Physics 251a Advanced Quantum Mechanics I G* Basic course in nonrelativistic quantum mechanics. Pre: Phy 143a, b/equiv.
Physics 251b Advanced Quantum Mechanics II G* Time-dependent perturbations; quantized radiation field; absorption & emission of radiation; identical particles & second quantization; symmetry groups. Pre: Phy. 251a.
Physics 253a Quantum Field Theory I G* Intro to relativistic quantum mechanics & quantum field theory. Canonical quantization, scalar & spinor fields, scattering theory, Feyman digrams, renormalization. Pre: Phy 251a, b/equiv.
Physics 253b Quantum Field Theory II G* Continuation of Phy 253a. Vector fields, guage invariance, funtional integration, quantum electrodynamics, spontaneous symmetry breakdown, & intro to the standard model. Pre: Phy 253a.
Mathematics 1a Introduction to Calculus C* Introduction to integration, differential calculus. Pre: Solid background in precalculus.
Mathematics 1b Calculus, Series, and Differential Equations C* Integration and diff. eqs. w/applications. Approximations by polynomial series. Pre: Math 1a, or Xa and Xb, equiv.
Mathematics 21a Multivariable Calculus C* Partial derivs., Green's Theorem, etc. Pre: Math 1b/equiv.
Mathematics 21b Linear Algebra and Differential Equations C* Determinants, eigenvalues/vectors, ordinary diff. eqs. and solutions, applications. Pre: Math 21a/equiv.
Mathematics 23a Theoretical Linear Algebra & Multivariable Calculuc I C* A rigorous treatment of linear algebra & the calculus of functions of n real variables. Pre: Math 1b or grade of 4 or 5 on the Calculus BC Adv. Plcmt Exam.
Mathematics 23b Theoretical Linear Algebra & Multivariable Calculus II C* Continuation of the subject matter of Math 23a
Mathematics 25a Honors Multivariable Calculus & Linear Algebra C*/G* Rigorous treatment of linear algebra, point-set & metric topology, & the calculus of functions in n variables. Pre: A 5 on Adv. Plcmt BC-Calculus Examination or equiv.
Mathematics 25b Honors Multivariable Calculus & Linear Algebra C*/G* Continuation of Math 25a. More adv. topics. Pre: Math 25a or permission of instructor.
Mathematics 112 Real Analysis C*/G* Proof-based course relevant to calculus. Pre: Math 21 a,b or 23a,b Pre/Con: Math 101/equiv.
Mathematics [Methods of Analysis and Applications] C*/G* Especially for physics students. Transforms, mappings, and differential eqns. Pre: Math 21a,b, 23a,b, or 25a,b, and permission of instructor.
Mathematics 132 Topology II: Smooth Manifolds C*/G* Differential manifolds, smooth maps & transversality. Pre: Math 23a,b, 25a,b, 55a,b or 112.
Applied Math 105a Complex and Fourier Analysis C*/G*Fourier & Laplace transforms, complex variables, etc. Pre: App.Math 21a,b or Math 21a and b.
Applied Math 105b Ordinary and Partial Differential Equations C*/G*Differential equations, expansions, asymptotics, etc. Pre: App. Math 21a, b or Math 21a, b.
Applied Math 111 Introduction to Scientific Computing C*/G*Elementary numerical methods & their computer implementation: linear & nonlinear equations; interpolation, differentiation & quadrature; ordinary differential equation intial & boundary value problems. Pre:App. Math 21a and 21b, or Math 21a & 21B. Ability to program in some hi-level computer language
Applied Math 201 Physical Mathematics I G*Intro to m ethods for developing solutions for problems in physical sciences that can't be solved exactly. Pre: App.Math 105a,b/ or equiv.
Applied Math 202 Physical Mathematics II G* Theory & techniques for finding exact approximate analytical solutions of partial differential & integral equations, & related topics: eigenfunction expansions, Green functions, variational calculus, transform techniques, perturbation methods, characteristics. Pre: App.Math 105a, 105b or equiv.
Applied Math 205 Practical Scientific Computing G* Computational methods at sophisticated analytic level. Practical exercises emphasized. Wide range of topics from linear algebra to Fournier analaysis. Pre: App.Math at level of l05B, & ability to program in Fortran or C useful.

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