Twin Cities campus

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Twin Cities Campus

Astrophysics B.A.

Astrophysics, Minnesota Institute for
College of Liberal Arts
  • Program Type: Baccalaureate
  • Requirements for this program are current for Fall 2014
  • Required credits to graduate with this degree: 120
  • Required credits within the major: 49 to 51
  • Degree: Bachelor of Arts
The program in astrophysics develops the skills necessary to tackle complex and ill-defined problems within the physical sciences and prepares students for careers in several broad areas. The program is aimed primarily for students interested in secondary education in the physical sciences, science policy, and science and technical writing. The program can also prepare students for graduate study in astrophysics.
Program Delivery
This program is available:
  • via classroom (the majority of instruction is face-to-face)
Admission Requirements
Students must complete 7 courses before admission to the program.
Note: the following courses do not factor into the overall credit total for the major.
For information about University of Minnesota admission requirements, visit the Office of Admissions website.
Required prerequisites
Mathematics
Complete one pair of courses from the following sequence.
Calculus Sequence I
MATH 1271 - Calculus I [MATH] (4.0 cr)
MATH 1272 - Calculus II (4.0 cr)
or Calculus Sequence II
MATH 1371 - CSE Calculus I [MATH] (4.0 cr)
MATH 1372 - CSE Calculus II (4.0 cr)
or Calculus Honors Sequence
MATH 1571H - Honors Calculus I [MATH] (4.0 cr)
MATH 1572H - Honors Calculus II (4.0 cr)
Complete one pair of courses from the following sequence.
Linear Algebra & Multivariable Calculus Sequence I
MATH 2243 - Linear Algebra and Differential Equations (4.0 cr)
MATH 2263 - Multivariable Calculus (4.0 cr)
or Linear Algebra & Multivariable Calculus Sequence II
MATH 2373 - CSE Linear Algebra and Differential Equations (4.0 cr)
MATH 2374 - CSE Multivariable Calculus and Vector Analysis (4.0 cr)
or Linear Algebra & Multivariable Calculus Honors Sequence
MATH 2573H - Honors Calculus III (4.0 cr)
MATH 2574H - Honors Calculus IV (4.0 cr)
Required prerequisites
Preparatory Physics
Complete three courses from either physics sequence.
Physics Sequence
PHYS 1301W - Introductory Physics for Science and Engineering I [PHYS, WI] (4.0 cr)
PHYS 1302W - Introductory Physics for Science and Engineering II [PHYS, WI] (4.0 cr)
PHYS 2503 - Physics III: Intro to Waves, Optics, and Special Relativity (4.0 cr)
or Physics Honors Sequence
PHYS 1401V - Honors Physics I [PHYS, WI] (4.0 cr)
PHYS 1402V - Honors Physics II [PHYS, WI] (4.0 cr)
PHYS 2403H {Inactive} (4.0 cr)
General Requirements
All students in baccalaureate degree programs are required to complete general University and college requirements including writing and liberal education courses. For more information about University-wide requirements, see the liberal education requirements. Required courses for the major, minor or certificate in which a student receives a D grade (with or without plus or minus) do not count toward the major, minor or certificate (including transfer courses).
Program Requirements
Students are required to complete 4 semester(s) of any second language. with a grade of C-, or better, or S, or demonstrate proficiency in the language(s) as defined by the department or college.
AST 1011H is recommended but not required. The number of credits in the major varies by area of interest, but requires at least 15 credits of AST courses. Students may earn no more than one undergraduate degree from the Astrophysics program: a B.A. or a B.S. or a minor. Beginning fall 2012, all incoming CLA freshmen must complete the appropriate First Year Experience course sequence. Specific information about this collegiate requirement can be found at: http://class.umn.edu/degree_requirements/index.html
Major Courses
Each of the different areas of interest has the same core math, physics, and astrophysics requirements. Curriculum details for the different areas--secondary education, science writing, science policy, and scientist--are developed by the student in consultation with an adviser.
Astrophysics Requirement
AST 2001 - Fundamental Astrophysics (4.0 cr)
AST 4001 - Astrophysics I (4.0 cr)
AST 4002 - Astrophysics II (4.0 cr)
Physics Requirement
PHYS 2201 - Introductory Thermodynamics and Statistical Physics (4.0 cr)
PHYS 2601 - Quantum Physics (4.0 cr)
PHYS 2605 {Inactive} (3.0 cr)
PHYS 4001 - Analytical Mechanics (4.0 cr)
PHYS 4002 - Electricity and Magnetism (4.0 cr)
Mathematics Requirement
Take a minimum of four credits.
MATH 3283W - Sequences, Series, and Foundations: Writing Intensive [WI] (4.0 cr)
or MATH 4xxx
or MATH 5xxx
Technical Electives
Take 12 or more credit(s) from the following:
· AST 4xxx
· AST 5xxx
Senior Project
This requirement can be met with directed research in astrophysics or a project tailored to the specific area of interest.
AST 4994W - Directed Research [WI] (2.0-5.0 cr)
Upper-division Writing Intensive within the major
Students are required to take one upper-division Writing Intensive course within the major. If that requirement has not been satisfied within the core major requirements, students must choose one course from the following list. Some of these courses may also fulfill other major requirements.
Take 0 - 1 course(s) from the following:
· AST 4994W - Directed Research [WI] (2.0-5.0 cr)
· MATH 3283W - Sequences, Series, and Foundations: Writing Intensive [WI] (4.0 cr)
 
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· College of Liberal Arts
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· Fall 2018
· Fall 2017
· Fall 2016

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· Astrophysics B.A.
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MATH 1271 - Calculus I (MATH)
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1271/Math 1381/Math 1571/
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 1272 - Calculus II
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1272/Math 1282/Math 1372/
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 1371 - CSE Calculus I (MATH)
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1271/Math 1381/Math 1571/
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 1372 - CSE Calculus II
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1272/Math 1282/Math 1372/
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 1571H - Honors Calculus I (MATH)
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1271/Math 1381/Math 1571/
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 1572H - Honors Calculus II
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 1272/Math 1282/Math 1372/
Grading Basis: A-F only
Typically offered: Every Fall & Spring
Continuation of 1571. Infinite series, differential calculus of several variables, introduction to linear algebra. prereq: 1571H (or equivalent) honors student
MATH 2243 - Linear Algebra and Differential Equations
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2243/Math 2373/Math 2574H
Typically offered: Every Fall, Spring & Summer
Linear algebra: basis, dimension, matrices, eigenvalues/eigenvectors. Differential equations: first-order linear, separable; second-order linear with constant coefficients; linear systems with constant coefficients. prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-
MATH 2263 - Multivariable Calculus
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2263/Math 2374/Math 2573H
Typically offered: Every Fall, Spring & Summer
Derivative as linear map. Differential/integral calculus of functions of several variables, including change of coordinates using Jacobians. Line/surface integrals. Gauss, Green, Stokes Theorems. prereq: [1272 or 1372 or 1572] w/grade of at least C-
MATH 2373 - CSE Linear Algebra and Differential Equations
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2243/Math 2373/Math 2574H
Typically offered: Every Fall & Spring
Linear algebra: basis, dimension, eigenvalues/eigenvectors. Differential equations: linear equations/systems, phase space, forcing/resonance, qualitative/numerical analysis of nonlinear systems, Laplace transforms. Use of computer technology. prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-, CSE or pre-Bio Prod/Biosys Engr
MATH 2374 - CSE Multivariable Calculus and Vector Analysis
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2263/Math 2374/Math 2573H
Typically offered: Every Fall & Spring
Derivative as linear map. Differential/integral calculus of functions of several variables, including change of coordinates using Jacobians. Line/surface integrals. Gauss, Green, Stokes theorems. Use of computer technology. prereq: [1272 or 1282 or 1372 or 1572] w/grade of at least C-, CSE or pre-Bioprod/Biosys Engr
MATH 2573H - Honors Calculus III
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2263/Math 2374/Math 2573H
Grading Basis: A-F only
Typically offered: Every Fall
Integral calculus of several variables. Vector analysis, including theorems of Gauss, Green, Stokes. prereq: Math 1572H (or equivalent), honors student
MATH 2574H - Honors Calculus IV
Credits: 4.0 [max 4.0]
Course Equivalencies: Math 2243/Math 2373/Math 2574H
Grading Basis: A-F only
Typically offered: Every Spring
Advanced linear algebra, differential equations. Additional topics as time permits. prereq: Math 1572H or Math 2573H, honors student and permission of University Honors Program
PHYS 1301W - Introductory Physics for Science and Engineering I (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: Phys 1201W/1301W/1401V/1501V
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 or Concurrent: MATH 1271/1371/1371H or equivalent
PHYS 1302W - Introductory Physics for Science and Engineering II (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: Phys 1202W/1302W/1402V/1502V
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: PHYS 1301 or equivalent, Prereq or Concurrent: MATH 1272/1372/1572H or equivalent
PHYS 2503 - Physics III: Intro to Waves, Optics, and Special Relativity
Credits: 4.0 [max 4.0]
Course Equivalencies: Phys 2303/2403H/2503/2503H
Typically offered: Every Fall
Third semester of introductory physics. Mechanical/electromagnetic waves, optics, special relativity. prereq: 1302W or equivalent
PHYS 1401V - Honors Physics I (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: Phys 1201W/1301W/1401V/1501V
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. Prereq: Honors program or with permission, Prereq or Concurrent: MATH 1271/1371/1571H or equivalent
PHYS 1402V - Honors Physics II (PHYS, WI)
Credits: 4.0 [max 4.0]
Course Equivalencies: Phys 1202W/1302W/1402V/1502V
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. Honors program or with permission, PHYS 1401V or equivalent, Prereq or CC: MATH 1272/1372/1572H or equivalent
AST 2001 - Fundamental 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
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: Every Spring
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
PHYS 2201 - Introductory Thermodynamics and Statistical Physics
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Thermodynamics and its underlying statistical nature. Prereq: PHYS 1302W or equivalent
PHYS 2601 - Quantum Physics
Credits: 4.0 [max 4.0]
Typically offered: Every Spring
Introduction to quantum mechanics. Applications to atomic, molecular, condensed-matter, nuclear, elementary-particle, and statistical physics. Prereq: PHYS2503/2503H, Recommended Concurrent: Phys 3041
PHYS 4001 - Analytical Mechanics
Credits: 4.0 [max 4.0]
Typically offered: Every Fall
Analytic Newtonian mechanics. Mathematics beyond prerequisites developed as required. Prereq: PHYS 2503/2503H or equivalent, PHYS 3041
PHYS 4002 - Electricity and Magnetism
Credits: 4.0 [max 4.0]
Typically offered: Every Fall & Spring
Classical theory of electromagnetic fields using vector algebra and vector calculus. prereq: PHYS 3041, PHYS 2503/2503H or equivalent
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-
AST 4994W - Directed Research (WI)
Credits: 2.0 -5.0 [max 5.0]
Grading Basis: A-F only
Typically offered: Every Fall & Spring
Independent research in observational or theoretical astrophysics. Senior Thesis for undergraduate astrophysics majors. Arranged with faculty member.
AST 4994W - Directed Research (WI)
Credits: 2.0 -5.0 [max 5.0]
Grading Basis: A-F only
Typically offered: Every Fall & Spring
Independent research in observational or theoretical astrophysics. Senior Thesis for undergraduate astrophysics majors. Arranged with faculty member.
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-