Twin Cities campus
 
Twin Cities Campus

Astrophysics Minor

Astrophysics, Minnesota Institute for
College of Liberal Arts
  • Program Type: Undergraduate minor related to major
  • Requirements for this program are current for Fall 2018
  • Required credits in this minor: 27 to 29
Students in the minor learn the physical principles underlying study of the solar system, stars, galaxy, and universe, as well as the methodology behind observations and conclusions.
Program Delivery
This program is available:
  • via classroom (the majority of instruction is face-to-face)
Minor Requirements
Students may complete no more than one degree in the Astrophysics program: a BA or a BS or a minor.
Mathematics
Take exactly 2 course(s) totaling exactly 8 credit(s) from the following:
Calculus I
· MATH 1271 - Calculus I [MATH] (4.0 cr)
or MATH 1371 - CSE Calculus I [MATH] (4.0 cr)
or MATH 1571H - Honors Calculus I [MATH] (4.0 cr)
· Calculus II
· MATH 1272 - Calculus II (4.0 cr)
or MATH 1372 - CSE Calculus II (4.0 cr)
or MATH 1572H - Honors Calculus II (4.0 cr)
Physics
Take exactly 3 course(s) totaling exactly 12 credit(s) from the following:
Physics I
· PHYS 1301W - Introductory Physics for Science and Engineering I [PHYS, WI] (4.0 cr)
or PHYS 1401V - Honors Physics I [PHYS, WI] (4.0 cr)
· Physics II
· PHYS 1302W - Introductory Physics for Science and Engineering II [PHYS, WI] (4.0 cr)
or PHYS 1402V - Honors Physics II [PHYS, WI] (4.0 cr)
· Physics III
· PHYS 2303 - Physics III: Physics of Matter (4.0 cr)
or PHYS 2503 - Physics III: Intro to Waves, Optics, and Special Relativity (4.0 cr)
or PHYS 2503H - Honors Physics III (4.0 cr)
Introduction to Astrophysics
Take exactly 1 course(s) totaling exactly 4 credit(s) from the following:
· AST 2001 - Introduction to Astrophysics (4.0 cr)
Technical Elective
Any AST 4xxx, 5xxx, or its cross-list may count as a technical elective.
Take exactly 1 course(s) totaling 3 - 5 credit(s) from the following:
· AEM 4301 - Orbital Mechanics (3.0 cr)
· AEM 4501 - Aerospace Structures (3.0 cr)
· AST 4001 - Astrophysics I (4.0 cr)
· AST 4002 - Astrophysics II (4.0 cr)
· AST 5012 - The Interstellar Medium (4.0 cr)
· AST 5201 - Methods of Experimental Astrophysics (4.0 cr)
· EE 3601 - Transmission Lines, Fields, and Waves (3.0 cr)
· ESCI 3006 - Planets of the Solar System (3.0 cr)
· ESCI 3303W - Geochemical Principles [WI] (4.0 cr)
· MATH 3283W - Sequences, Series, and Foundations: Writing Intensive [WI] (4.0 cr)
· ME 3324 - Introduction to Thermal Science (3.0 cr)
· PHYS 3022 - Introduction to Cosmology (3.0 cr)
· PHYS 4051 - Methods of Experimental Physics I (5.0 cr)
· AST 4031 - Interpretation and Analysis of Astrophysical Data (4.0 cr)
or AST 5031 - Interpretation and Analysis of Astrophysical Data (4.0 cr)
· AST 4041 - Computational Methods in the Physical Sciences (4.0 cr)
or PHYS 4041 - Computational Methods in the Physical Sciences (4.0 cr)
· AST 5022 - Relativity, Cosmology, and the Universe (4.0 cr)
or PHYS 5022 - Relativity, Cosmology, and the Universe (4.0 cr)
 
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MATH 1271 - Calculus I (MATH)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00067 - Math 1271/Math 1281/Math 1371/
Typically offered: Every Fall, Spring & Summer
Differential calculus of functions of a single variable, including polynomial, rational, exponential, and trig functions. Applications, including optimization and related rates problems. Single variable integral calculus, using anti-derivatives and simple substitution. Applications may include area, volume, work problems. prereq: 4 yrs high school math including trig or satisfactory score on placement test or grade of at least C- in [1151 or 1155]
MATH 1371 - CSE Calculus I (MATH)
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1142/1271/1281/1371/1571H
Typically offered: Every Fall & Spring
Differentiation of single-variable functions, basics of integration of single-variable functions. Applications: max-min, related rates, area, curve-sketching. Use of calculator, cooperative learning. prereq: CSE or pre-bioprod concurrent registration is required (or allowed) in biosys engn (PRE), background in [precalculus, geometry, visualization of functions/graphs], instr consent; familiarity with graphing calculators recommended
MATH 1571H - Honors Calculus I (MATH)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00067 - Math 1142/1271/1281/1371/1571H
Grading Basis: A-F only
Typically offered: Every Fall
Differential/integral calculus of functions of a single variable. Emphasizes hard problem-solving rather than theory. prereq: Honors student and permission of University Honors Program
MATH 1272 - Calculus II
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1272/1282/1252/1372/1572
Typically offered: Every Fall, Spring & Summer
Techniques of integration. Calculus involving transcendental functions, polar coordinates. Taylor polynomials, vectors/curves in space, cylindrical/spherical coordinates. prereq: [1271 or equiv] with grade of at least C-
MATH 1372 - CSE Calculus II
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1272/1282/1252/1372/1572
Typically offered: Every Spring
Techniques of integration. Calculus involving transcendental functions, polar coordinates, Taylor polynomials, vectors/curves in space, cylindrical/spherical coordinates. Use of calculators, cooperative learning. prereq: Grade of at least C- in [1371 or equiv], CSE or pre-Bioprod/Biosys Engr
MATH 1572H - Honors Calculus II
Credits: 4.0 [max 4.0]
Course Equivalencies: 00068 - Math 1272/1282/1252/1372/1572
Grading Basis: A-F only
Typically offered: Every Spring
Continuation of 1571. Infinite series, differential calculus of several variables, introduction to linear algebra. prereq: 1571H, honors student, permission of University Honors Program
PHYS 1301W - Introductory Physics for Science and Engineering I (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00078
Typically offered: Every Fall, Spring & Summer
Use of fundamental principles to solve quantitative problems. Motion, forces, conservation principles, structure of matter. Applications to mechanical systems. prereq: concurrent registration is required (or allowed) in Math 1271 or concurrent registration is required (or allowed) in Math 1371 or concurrent registration is required (or allowed) in Math 1571
PHYS 1401V - Honors Physics I (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00078
Grading Basis: A-F only
Typically offered: Every Fall
Comprehensive, calculus-level general physics. Emphasizes use of fundamental principles to solve quantitative problems. Description of motion, forces, conservation principles. Structure of matter, with applications to mechanical systems.
PHYS 1302W - Introductory Physics for Science and Engineering II (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00079
Typically offered: Every Fall & Spring
Use of fundamental principles to solve quantitative problems. Motion, forces, conservation principles, fields, structure of matter. Applications to electromagnetic phenomena. prereq: 1301W, concurrent registration is required (or allowed) in Math 1272 or Math 1372 or Math 1572
PHYS 1402V - Honors Physics II (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: 00079
Grading Basis: A-F only
Typically offered: Every Spring
Fundamental principles to solve quantitative problems. Description of motion, forces, conservation principles, fields. Structure of matter, with applications to electro-magnetic phenomena. prereq: 1401V, honors student or permission of University Honors Program
PHYS 2303 - Physics III: Physics of Matter
Credits: 4.0 [max 4.0]
Course Equivalencies: 00080 - Phys 2303/2403H/2503/2503H
Typically offered: Every Spring
Thermodynamics, mechanical/electromagnetic waves, optics, quantum theory. Applications of quantum nature of solids. prereq: 1302, [MATH 1272 or MATH 1372 or MATH 1572H], [MatSci or EE] student
PHYS 2503 - Physics III: Intro to Waves, Optics, and Special Relativity
Credits: 4.0 [max 4.0]
Course Equivalencies: 00080 - Phys 2303/2403H/2503
Typically offered: Every Fall
Third semester of introductory physics. Mechanical/electromagnetic waves, optics, special relativity. prereq: 1302W, [MATH 1272 or MATH 1372 or MATH 1572H]
PHYS 2503H - Honors Physics III
Credits: 4.0 [max 4.0]
Course Equivalencies: 00080 - Phys 2303/2403H/2503
Grading Basis: A-F only
Typically offered: Every Fall
The third semester of a calculus-based introductory physics sequence. Topics include: relativistic kinematics and dynamics, mechanical and electromagnetic waves, light, interference, diffraction, wave-particle duality and topics in modern physics. Course emphasizes the use of fundamental problems to solve quantitative problems. Intended primarily for those who have completed 1401V/1402V, although those students with outstanding performance in 1301W/1302W may be granted permission to enroll. prereq: 1402V or 1502V, honors student or permission of University Honors Program or instr consent
AST 2001 - Introduction to Astrophysics
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Physical principles and study of solar system, stars, galaxy, and universe. How observations/conclusions are made. prereq: [One yr calculus, PHYS 1302] or instr consent
AEM 4301 - Orbital Mechanics
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
The two-body problem. Earth-satellite operations, rocket performance, reentry dynamics, space environments, interplanetary trajectories. Numerical simulations. Design project. prereq: [2012 or equiv], [MATH 2373 or equiv], [CSE upper div or grad student]
AEM 4501 - Aerospace Structures
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Every Spring
Advanced strength of materials analysis of elastic structures with aerospace applications; failure modes and criteria, buckling, matrix methods for analysis, plane truss design; energy and Castigliano methods for statically determinate and indeterminate structures; torsion and bending of asymmetrical thin-walled sections. Design project. prereq: CSE upper div or grad, 3031 or equiv
AST 4001 - Astrophysics I
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Astrophysics of stars and stellar populations. Stellar formation, evolution, interiors/atmospheres. Stellar populations, galactic distribution of stars. prereq: 2001, Phys 2601
AST 4002 - Astrophysics II
Credits: 4.0 [max 4.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall
Astrophysics of galaxies and the universe. Diffuse matter, galactic structure, and evolution. Clusters of galaxies. Introductory cosmology, evolution of the universe. prereq: 2001, Phys 2601
AST 5012 - The Interstellar Medium
Credits: 4.0 [max 4.0]
Typically offered: Periodic Fall
Survey of physical processes in the interstellar medium. Dynamic processes, excitation processes, emission and absorption by gas and dust. Hot bubbles, HII regions, molecular clouds. prereq: 2001, Phys 2601 or instr consent
AST 5201 - Methods of Experimental Astrophysics
Credits: 4.0 [max 4.0]
Typically offered: Spring Even Year
Contemporary astronomical techniques and instrumentation. Emphasizes data reduction and analysis, including image processing. Students make astronomical observations at O'Brien Observatory and use department's computing facilities for data analysis. Image processing packages include IRAF, AIPS, IDL, MIRA. prereq: Upper div CSE or grad or instr consent
EE 3601 - Transmission Lines, Fields, and Waves
Credits: 3.0 [max 3.0]
Typically offered: Every Fall, Spring & Summer
Properties of transmission lines, electrostatics, magnetostatics, and electromagnetic waves in unbounded space. Guides, cavities, radiation theory, antennas. prereq: [2011, [Math 2243 or Math 2373 or Math 2573], [Phys 1302 or Phys 1402], CSE] or dept consent
ESCI 3006 - Planets of the Solar System
Credits: 3.0 [max 3.0]
Typically offered: Periodic Fall
Recent accomplishments of space missions. Diverse/common characteristics of planetary formation. Surface processes/interior dynamics. Meteoritic impacts. Comets. Other solar systems/possibility of life.
ESCI 3303W - Geochemical Principles (WI)
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Origin of elements (nucleosynthesis, elemental abundances). Geochemical classifications. Isotopes (radioactive, stable). Phase equilibria. Models of Earth's geochemical evolution. Basic geochemical processes that produced Earth's lithosphere, hydrosphere, atmosphere. prereq: [concurrent registration is required (or allowed) in CHEM 1061, concurrent registration is required (or allowed) in CHEM 1065] or instr consent
MATH 3283W - Sequences, Series, and Foundations: Writing Intensive (WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2283/3283W
Typically offered: Every Fall & Spring
Introduction to reasoning used in advanced mathematics courses. Logic, mathematical induction, real number system, general/monotone/recursively defined sequences, convergence of infinite series/sequences, Taylor's series, power series with applications to differential equations, Newton's method. Writing-intensive component. prereq: [concurrent registration is required (or allowed) in 2243 or concurrent registration is required (or allowed) in 2263 or concurrent registration is required (or allowed) in 2373 or concurrent registration is required (or allowed) in 2374] w/grade of at least C-
ME 3324 - Introduction to Thermal Science
Credits: 3.0 [max 3.0]
Grading Basis: A-F or Aud
Typically offered: Periodic Fall & Spring
Thermodynamics, heat transfer. Thermal properties of substances. First/second laws of thermodynamics. Steady/unsteady heat conduction. Thermal resistance concept. Convection heat transfer. Radiative heat transfer between solid surfaces. Boiling/condensation heat transfer. prereq: Chem 1061, Chem 1065, Math 2243 or Math 2373, Phys 1301, [CSE student]
PHYS 3022 - Introduction to Cosmology
Credits: 3.0 [max 3.0]
Typically offered: Spring Odd Year
Large-scale structure and history of universe. Dark matter, cosmic microwave background. Newtonian/relativistic world models. Physics of early universe. Cosmological tests. prereq: 2601
PHYS 4051 - Methods of Experimental Physics I
Credits: 5.0 [max 5.0]
Typically offered: Every Fall
Contemporary experimental techniques. Introduction to modern analog and digital electronics from an experimental viewpoint. Use of computers for data acquisition and experimental control. Statistics of data analysis. prereq: concurrent registration is required (or allowed) in 2605 or equiv lab experience or instr consent
AST 4031 - Interpretation and Analysis of Astrophysical Data
Credits: 4.0 [max 4.0]
Prerequisites: [Math 2243 or 2373 or equivalent[, [Math 2263 or 2374 or equivalent], Ast 2001 or #
Grading Basis: A-F only
Typically offered: Periodic Spring
Introduction to analysis techniques with applications to modern astrophysics. Methods to interpret/analyze large data sets from experiments. Principles/methods of analysis, with applications to current research. For senior undergraduate/graduate students in Physics/Astronomy. prereq: [Math 2243 or 2373 or equivalent[, [Math 2263 or 2374 or equivalent], Ast 2001 or instr consent
AST 5031 - Interpretation and Analysis of Astrophysical Data
Credits: 4.0 [max 4.0]
Course Equivalencies: 02569 - Ast 4031/Ast 5031
Grading Basis: A-F only
Typically offered: Every Spring
Introduction to analysis techniques with applications to modern astrophysics. Methods to interpret/analyze large data sets from experiments. Principles/methods of analysis, with applications to current research. For graduate students in Physics/Astronomy
AST 4041 - Computational Methods in the Physical Sciences
Credits: 4.0 [max 4.0]
Course Equivalencies: 01838 - Ast 4041/Phys 4041
Typically offered: Periodic Fall & Spring
Introduction to using computer programs to solve problems in physical sciences. Selected numerical methods, mapping problems onto computational algorithms. Arranged lab. prereq: Upper div or grad student or instr consent
PHYS 4041 - Computational Methods in the Physical Sciences
Credits: 4.0 [max 4.0]
Course Equivalencies: 01838 - Ast 4041/Phys 4041
Typically offered: Periodic Fall & Spring
Introduction to using computer programs to solve problems in physical sciences. Selected numerical methods, mapping problems onto computational algorithms. Arranged lab. prereq: Upper div or grad student or instr consent
AST 5022 - Relativity, Cosmology, and the Universe
Credits: 4.0 [max 4.0]
Course Equivalencies: Ast 5022/Phys 5022
Typically offered: Periodic Fall & Spring
Large-scale structure/history of universe. Introduction to Newtonian/relativistic world models. Physics of early universe, cosmological tests, formation of galaxies. prereq: [2001, Phys 2601] or instr consent
PHYS 5022 - Relativity, Cosmology, and the Universe
Credits: 4.0 [max 4.0]
Course Equivalencies: Ast 5022/Phys 5022
Typically offered: Periodic Fall
Large-scale structure and history of universe. Introduction to Newtonian and relativistic world models. Physics of early universe. Cosmological tests. Formation of galaxies. prereq: 2601 or instr consent