Campuses:
Twin Cities Campus
Physics B.S. Phys.School of Physics & Astronomy
College of Science and Engineering
The physics program prepares students for employment, often in industrial or governmental laboratories, or for further study at graduate or professional schools in physics, engineering, biophysics, medicine, education, law, or business.
The program integrates a broad foundation in physics that can be flexibly combined with coursework in other technical disciplines or used to specialize in physics. Students should consult a physics adviser to help formulate objectives for study.
Program Delivery
This program is available:
Admission Requirements
Students must complete
8 courses
before admission to the program.
Freshman and transfer students are usually admitted to premajor status
before admission to this major.
For information about University of Minnesota admission requirements, visit the
Office of Admissions
website.
Required prerequisites
Core Coursework
All of the subplans start with a common foundation in physics and mathematics. This basic core of physics and math, taken during the first two years, provides the necessary tools to move into one of the subplans within physics.
The freshman and sophomore years give students a broad introduction to the fundamental ideas of physics. During this same period students learn the mathematical techniques that they will need for advanced work in physics and other sciences.
Introductory Physics Core Requirement
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)
or
PHYS 1501V  Honors Introduction to Mechanics
[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)
or
PHYS 1502V  Honors Introduction to Electricity and Magnetism
[PHYS, WI]
(4.0 cr)
Physics III
Note: PHYS 2503 and 2503H offered only fall semester.
PHYS 2503  Physics III: Intro to Waves, Optics, and Special Relativity
(4.0 cr)
or
PHYS 2503H  Honors Physics III
(4.0 cr)
Lower Division Core Physics Requirement
PHYS 2201  Introductory Thermodynamics and Statistical Physics
(3.0 cr)
Mathematics Requirements
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)
Calculus III or IV
Calculus III or IV course is required for admission, but both courses are required to complete the program.
MATH 2243  Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2373  CSE Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2574H  Honors Calculus IV
(4.0 cr)
or
MATH 2263  Multivariable Calculus
(4.0 cr)
or
MATH 2374  CSE Multivariable Calculus and Vector Analysis
(4.0 cr)
or
MATH 2573H  Honors Calculus III
(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 Universitywide 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
In addition to the core coursework, students must select one of the five subplans (professional, biological, computational, teaching, engineering) and complete the respective additional programmatic requirements (4852 cr). These requirements are subject to departmental review for each student. Requirements for each subplan are detailed below.
Students intending to pursue graduate study in physics are strongly encouraged to take PHYS 4303.
Core Coursework
Lower Division Core Physics Requirements
PHYS 2601  Quantum Physics
(4.0 cr)
PHYS 2605  Quantum Physics Laboratory
(3.0 cr)
Remaining Calculus III or IV Course
Calculus III or IV is required for admission to the program. Both courses are required to complete the program.
MATH 2243  Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2373  CSE Linear Algebra and Differential Equations
(4.0 cr)
or
MATH 2574H  Honors Calculus IV
(4.0 cr)
or
MATH 2263  Multivariable Calculus
(4.0 cr)
or
MATH 2374  CSE Multivariable Calculus and Vector Analysis
(4.0 cr)
or
MATH 2573H  Honors Calculus III
(4.0 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 or more course(s) from the following:
·
PHIL 3601W  Scientific Thought
[WI]
(4.0 cr)
·
PHYS 4052W  Methods of Experimental Physics II
[WI]
(5.0 cr)
·
PHYS 4121W  History of 20thCentury Physics
[WI]
(3.0 cr)
Program Subplans
Students are required to complete one of the following subplans.
Professional
This subplan is ideal for students who want the strongest possible grounding in physics. It is designed to suit the needs of students who are interested in fundamental physics or astrophysics, applying physics to the workplace, or who are planning on continuing their physics education in graduate school.
Professional Physics Subplan: Additional Programmatic Requirements (5052 cr.)
PHYS 4001  Analytical Mechanics
(4.0 cr)
PHYS 4002  Electricity and Magnetism
(4.0 cr)
PHYS 4101  Quantum Mechanics
(4.0 cr)
PHYS 4201  Statistical and Thermal Physics
(3.0 cr)
PHYS 4051  Methods of Experimental Physics I
(5.0 cr)
PHYS 4052W  Methods of Experimental Physics II
[WI]
(5.0 cr)
PHYS 4303  Electrodynamics and Waves
(3.0 cr)
Technical Electives
Technical electives include any mathematics, science, or engineering course of technical nature by departmental advisor approval. Only one course may be an directed research or directed study course. Students are encouraged to discuss options for technical electives with their departmental advisor, as specific courses are frequently approved for inclusion in a student's technical electives based on individual interests and goals.
Take 22 or more credit(s) from the following:
Upper Level Math Elective
Take 1 or more course(s) totaling 4 or more credit(s) from the following:
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
·
MATH 4428  Mathematical Modeling
(4.0 cr)
·
MATH 4567  Applied Fourier Analysis
(4.0 cr)
·
MATH 5285H  Honors: Fundamental Structures of Algebra I
(4.0 cr)
·
MATH 5525  Introduction to Ordinary Differential Equations
(4.0 cr)
·
MATH 5583  Complex Analysis
(4.0 cr)
·
MATH 5587  Elementary Partial Differential Equations I
(4.0 cr)
·
MATH 5615H  Honors: Introduction to Analysis I
(4.0 cr)
·
Upper Level Physics Elective
Take 1 or more course(s) totaling 3 or more credit(s) from the following:
·
PHYS 3022  Introduction to Cosmology
(3.0 cr)
·
PHYS 4041  Computational Methods in the Physical Sciences
(4.0 cr)
·
PHYS 4121W  History of 20thCentury Physics
[WI]
(3.0 cr)
·
PHYS 4211  Introduction to SolidState Physics
(3.0 cr)
·
PHYS 4511  Introduction to Nuclear and Particle Physics
(3.0 cr)
·
PHYS 4611  Introduction to Space Physics
(3.0 cr)
·
PHYS 4621  Introduction to Plasma Physics
(3.0 cr)
·
PHYS 5041  Mathematical Methods for Physics
(4.0 cr)
·
PHYS 4911  Introduction to Biopolymer Physics
(3.0 cr)
or
PHYS 5081  Introduction to Biopolymer Physics
(3.0 cr)
·
Other Technical Electives
Take at most 15 credit(s) from the following:
·
AST 4001  Astrophysics I
(4.0 cr)
·
AST 4002  Astrophysics II
(4.0 cr)
·
AST 5201  Methods of Experimental Astrophysics
(4.0 cr)
·
EE 3005  Fundamentals of Electrical Engineering
(4.0 cr)
·
MATH 3283W  Sequences, Series, and Foundations: Writing Intensive
[WI]
(4.0 cr)
·
MATH 4512  Differential Equations with Applications
(3.0 cr)
·
MATH 5588  Elementary Partial Differential Equations II
(4.0 cr)
·
MATH 5616H  Honors: Introduction to Analysis II
(4.0 cr)
·
MATS 3011  Introduction to Materials Science and Engineering
(3.0 cr)
Biological
Students who are interested in entering the biological sciences or medicine will find this subplan an attractive option. Physics applies to biology at all levels, from the basics of biosystems to biomedical engineering. This option can be very useful to students who want to pursue a career in biomedical industry. It also provides a strong foundation for students interested in pursuing an advanced degree in biophysics, molecular biology, physiology, medical physics, biomedical engineering, or medical school. Combined with the physics core curriculum this biological subplan gives students powerful tools to achieve their goals.
Biological Subplan: Additional Programmatic Requirements (54 cr)
Chemistry Requirements
CHEM 1065  Chemical Principles I Laboratory
[PHYS]
(1.0 cr)
CHEM 1061  Chemical Principles I
[PHYS]
(3.0 cr)
or
CHEM 1081  Chemistry for the Life Sciences I
(3.0 cr)
CHEM 1062  Chemical Principles II
[PHYS]
(3.0 cr)
CHEM 1066  Chemical Principles II Laboratory
[PHYS]
(1.0 cr)
or
CHEM 1082  Chemistry for the Life Sciences II
(3.0 cr)
CHEM 1086  Chemistry for the Life Sciences II Laboratory
(1.0 cr)
CHEM 2301  Organic Chemistry I
(3.0 cr)
or
CHEM 2081  Chemistry for the Life Sciences III
(3.0 cr)
Biochemistry Requirements
BIOC 3021  Biochemistry
(3.0 cr)
Upper Division Physics Requirements
Up to 2 of these may be replaced by similar courses in other departments with adviser approval.
PHYS 4001  Analytical Mechanics
(4.0 cr)
PHYS 4002  Electricity and Magnetism
(4.0 cr)
PHYS 4101  Quantum Mechanics
(4.0 cr)
PHYS 4201  Statistical and Thermal Physics
(3.0 cr)
Methods of Experimental Physics
PHYS 4051  Methods of Experimental Physics I
(5.0 cr)
PHYS 4052W  Methods of Experimental Physics II
[WI]
(5.0 cr)
Technical Electives
Technical electives include any mathematics, science, or engineering course of technical nature by departmental advisor approval. Only one course may be a directed research/study course. PHYS4911 is strongly recommended for students interested in biological physics. Students are encouraged to discuss options for technical electives with their departmental advisor, as specific courses are frequently approved for inclusion in a student's technical electives based on individual interests and goals.
Take 11 or more credit(s) from the following:
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
·
MATH 4428  Mathematical Modeling
(4.0 cr)
·
MATH 4512  Differential Equations with Applications
(3.0 cr)
·
MATH 4567  Applied Fourier Analysis
(4.0 cr)
·
PHYS 3022  Introduction to Cosmology
(3.0 cr)
·
PHYS 4121W  History of 20thCentury Physics
[WI]
(3.0 cr)
·
PHYS 4211  Introduction to SolidState Physics
(3.0 cr)
·
PHYS 4303  Electrodynamics and Waves
(3.0 cr)
·
PHYS 4511  Introduction to Nuclear and Particle Physics
(3.0 cr)
·
PHYS 4611  Introduction to Space Physics
(3.0 cr)
·
PHYS 4621  Introduction to Plasma Physics
(3.0 cr)
·
PHYS 4911  Introduction to Biopolymer Physics
(3.0 cr)
·
PHYS 5041  Mathematical Methods for Physics
(4.0 cr)
Computational
This subplan is ideal for students who seek a strong grounding in physics and the computational techniques used in physics research. Computational physics connects physics, computer science, and applied mathematics to provide scientific solutions to realistic and often complex problems. Students who are interested in moving directly into industry, as well as those who want to pursue a graduate degree in physics will find this program valuable.
Computational Subplan: Additional Programmatic Requirements (5052 cr)
Upper Division Physics Requirements
PHYS 4001  Analytical Mechanics
(4.0 cr)
PHYS 4002  Electricity and Magnetism
(4.0 cr)
PHYS 4101  Quantum Mechanics
(4.0 cr)
PHYS 4201  Statistical and Thermal Physics
(3.0 cr)
Methods of Experimental Physics
PHYS 4051  Methods of Experimental Physics I
(5.0 cr)
PHYS 4052W  Methods of Experimental Physics II
[WI]
(5.0 cr)
Computer Programming
Intro to C/C++
CSCI 1113  Introduction to C/C++ Programming for Scientists and Engineers
(4.0 cr)
or
A comparable computer language course may be substituted for CSCI 1113.
Structure of Computer Programming
CSCI 1913  Introduction to Algorithms, Data Structures, and Program Development
(4.0 cr)
or
CSCI 1933  Introduction to Algorithms and Data Structures
(4.0 cr)
Computational Elective
A minimum of one elective course with a computational focus must be taken as part of this subplan.
AST 4101  Computational Methods in the Physical Sciences
(4.0 cr)
or
PHYS 4041  Computational Methods in the Physical Sciences
(4.0 cr)
or
CHEM 4021  Computational Chemistry
(3.0 cr)
or
AEM 5253  Computational Fluid Mechanics
(3.0 cr)
Technical Electives
Technical electives include any mathematics, science, or engineering course of technical nature by departmental advisor approval. Only one course may be a directed research or directed study course. Students are encouraged to discuss options for technical electives with their departmental advisor, as specific courses are frequently approved for inclusion in a student's technical electives based on individual interests and goals.
Take 15 or more credit(s) from the following:
·
AST 4001  Astrophysics I
(4.0 cr)
·
AST 4002  Astrophysics II
(4.0 cr)
·
AST 5201  Methods of Experimental Astrophysics
(4.0 cr)
·
CSCI 3081W  Program Design and Development
[WI]
(4.0 cr)
·
CSCI 4041  Algorithms and Data Structures
(4.0 cr)
·
CSCI 4061  Introduction to Operating Systems
(4.0 cr)
·
CSCI 4211  Introduction to Computer Networks
(3.0 cr)
·
CSCI 5304  Computational Aspects of Matrix Theory
(3.0 cr)
·
CSCI 5523  Introduction to Data Mining
(3.0 cr)
·
EE 3005  Fundamentals of Electrical Engineering
(4.0 cr)
·
MATH 3283W  Sequences, Series, and Foundations: Writing Intensive
[WI]
(4.0 cr)
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
·
MATH 4428  Mathematical Modeling
(4.0 cr)
·
MATH 4512  Differential Equations with Applications
(3.0 cr)
·
MATH 4567  Applied Fourier Analysis
(4.0 cr)
·
PHYS 3022  Introduction to Cosmology
(3.0 cr)
·
PHYS 4121W  History of 20thCentury Physics
[WI]
(3.0 cr)
·
PHYS 4211  Introduction to SolidState Physics
(3.0 cr)
·
PHYS 4303  Electrodynamics and Waves
(3.0 cr)
·
PHYS 4511  Introduction to Nuclear and Particle Physics
(3.0 cr)
·
PHYS 4611  Introduction to Space Physics
(3.0 cr)
·
PHYS 4621  Introduction to Plasma Physics
(3.0 cr)
·
PHYS 4911  Introduction to Biopolymer Physics
(3.0 cr)
·
PHYS 5041  Mathematical Methods for Physics
(4.0 cr)
Secondary Education
For students who are interested in teaching secondary school physics, this program offers a versatile broadbased education. It is particularly useful to students who are planning on teaching in Minnesota, as it has been optimized to fit well with the new state licensure procedures. And, should a student's needs or plans change, this program combined with the physics core curriculum also prepares him or her for a variety of other career tracks, including graduate study in physics.
Secondary Education Subplan: Additional Programmatic Requirements (55 cr)
Upper Division Physics Requirements
Take 2 or more course(s) from the following:
·
PHYS 4001  Analytical Mechanics
(4.0 cr)
·
PHYS 4002  Electricity and Magnetism
(4.0 cr)
·
PHYS 4101  Quantum Mechanics
(4.0 cr)
Methods of Experimental Physics
PHYS 4051  Methods of Experimental Physics I
(5.0 cr)
PHYS 4052W  Methods of Experimental Physics II
[WI]
(5.0 cr)
Historical and Social Perspectives of Science and Philosophical Foundations
Take 1 or more course(s) from the following:
·
PHYS 4121W  History of 20thCentury Physics
[WI]
(3.0 cr)
·
HSCI 3814  Revolutions in Science: The Babylonians to Newton
[HIS, GP]
(3.04.0 cr)
·
HSCI 3815  Making Modern Science: Atoms, Genes and Quanta
[HIS, GP]
(3.04.0 cr)
General Psychology
Take 1 or more course(s) from the following:
·
PSY 1001  Introduction to Psychology
[SOCS]
(4.0 cr)
Philosophical Foundations
Take 1 or more course(s) from the following:
·
PHIL 1005  Scientific Reasoning
(4.0 cr)
·
PHIL 3601W  Scientific Thought
[WI]
(4.0 cr)
Technical Electives
Technical electives include any math, science, or engineering course of technical nature by departmental advisor approval. Students with the intent of continuing in physics graduate school are strongly encouraged to take PHYS 4001, 4002, 4101, and 4201. Only one course may be a directed research or directed study course. Students are encouraged to discuss options with their departmental advisor, as specific courses are frequently approved for inclusion based on individual interests and goals.
Take 26 or more credit(s) from the following:
·
AST 4001  Astrophysics I
(4.0 cr)
·
AST 4002  Astrophysics II
(4.0 cr)
·
AST 5201  Methods of Experimental Astrophysics
(4.0 cr)
·
EE 3005  Fundamentals of Electrical Engineering
(4.0 cr)
·
ESCI 3006  Planets of the Solar System
(3.0 cr)
·
ESCI 3303W  Geochemical Principles
[WI]
(4.0 cr)
·
ESCI 3402  Science and Politics of Global Warming
[ENV]
(3.0 cr)
·
MATH 3283W  Sequences, Series, and Foundations: Writing Intensive
[WI]
(4.0 cr)
·
MATH 4242  Applied Linear Algebra
(4.0 cr)
·
MATH 4281  Introduction to Modern Algebra
(4.0 cr)
·
MATH 4428  Mathematical Modeling
(4.0 cr)
·
MATH 4512  Differential Equations with Applications
(3.0 cr)
·
MATH 4567  Applied Fourier Analysis
(4.0 cr)
·
MATS 3011  Introduction to Materials Science and Engineering
(3.0 cr)
·
MM 3305  3D Printing and Additive Manufacturing
(3.0 cr)
·
PHYS 3022  Introduction to Cosmology
(3.0 cr)
·
PHYS 4002  Electricity and Magnetism
(4.0 cr)
·
PHYS 4101  Quantum Mechanics
(4.0 cr)
·
PHYS 4121W  History of 20thCentury Physics
[WI]
(3.0 cr)
·
PHYS 4201  Statistical and Thermal Physics
(3.0 cr)
·
PHYS 4211  Introduction to SolidState Physics
(3.0 cr)
·
PHYS 4303  Electrodynamics and Waves
(3.0 cr)
·
PHYS 4511  Introduction to Nuclear and Particle Physics
(3.0 cr)
·
PHYS 4611  Introduction to Space Physics
(3.0 cr)
·
PHYS 4621  Introduction to Plasma Physics
(3.0 cr)
·
PHYS 4911  Introduction to Biopolymer Physics
(3.0 cr)
·
PHYS 5041  Mathematical Methods for Physics
(4.0 cr)
·
CSCI 1113  Introduction to C/C++ Programming for Scientists and Engineers
(4.0 cr)
or
CSCI 1133  Introduction to Computing and Programming Concepts
(4.0 cr)
·
IE 3521  Statistics, Quality, and Reliability
(4.0 cr)
or
MATH 5651  Basic Theory of Probability and Statistics
(4.0 cr)
or
STAT 3011  Introduction to Statistical Analysis
[MATH]
(4.0 cr)
or
STAT 3021  Introduction to Probability and Statistics
(3.0 cr)
·
Take at most 8 credit(s) from the following:
·
AST 1001  Exploring the Universe
[PHYS, ENV]
(4.0 cr)
·
BIOL 1009  General Biology
[BIOL]
(4.0 cr)
·
ESCI 1001  Earth and Its Environments
[PHYS, ENV]
(4.0 cr)
·
ESCI 1006  Oceanography
[PHYS, ENV]
(4.0 cr)
Engineering
Students who are interested in the practical application of physics to the engineering fields, but who would like a less specialized education than they would find in an engineering department, will find that this subplan provides them with a solid education. In addition to the strong physics core curriculum, students can either focus on one area of engineering or explore a broad range of interests across a number of engineering fields. Students who are interested in moving directly into industry, as well as those who want to pursue a graduate degree in either engineering or physics will find this program valuable.
Engineering Subplan: Additional Programmatic Requirements (50 cr)
Note that CHEM 1061 and 1065, which are required for several of the engineering majors, are strongly recommended.
Upper Division Physics Requirements
Up to 2 of these may be replaced by courses covering related material in other CSE departments with adviser approval.
PHYS 4001  Analytical Mechanics
(4.0 cr)
PHYS 4002  Electricity and Magnetism
(4.0 cr)
PHYS 4101  Quantum Mechanics
(4.0 cr)
PHYS 4201  Statistical and Thermal Physics
(3.0 cr)
Methods of Experimental Physics
PHYS 4051  Methods of Experimental Physics I
(5.0 cr)
PHYS 4052W  Methods of Experimental Physics II
[WI]
(5.0 cr)
Technical Electives
Technical electives include any math, science, or engineering course of technical nature by departmental advisor approval. Only one course may be a directed research or directed study course. Students are encouraged to discuss options with their departmental advisor, as specific courses are frequently approved for inclusion based on individual interests and goals.
Take 25 or more credit(s) from the following:
·
Technical Electives


Credits:  4.0 [max 4.0] 
Course Equivalencies:  00078 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00078 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00078  Phys 1201W/Phys1301W/Phys1401V 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00079 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00079  Phys 1202W/1302W/1402V 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00079  Phys 1202W/1302W/1402V 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00080  Phys 2303/2403H/2503 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00080  Phys 2303/2403H/2503 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00067  Math 1271/Math 1281/Math 1371/ 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1142/1271/1281/1371/1571H 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00067  Math 1142/1271/1281/1371/1571H 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1272/1282/1252/1372/1572 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 1272/1282/1252/1372/1572 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00068  Math 1272/1282/1252/1372/1572 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/2373/2573 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/2373/2573 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00561  Math 2243/Math 2373/Math 2573H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/2373/2573H/3251 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/2373/2573H/3251 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00069  Math 2263/2374/3251 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/2373/2573 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2243/2373/2573 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00561  Math 2243/Math 2373/Math 2573H 
Grading Basis:  AF only 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/2373/2573H/3251 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2263/2373/2573H/3251 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00069  Math 2263/2374/3251 
Grading Basis:  AF only 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00984  HSci 4121/Phys 4121 
Typically offered:  Periodic Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01212  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 3574/5583 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Spring Odd Year 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01838 
Typically offered:  Periodic Fall & Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00984  HSci 4121/Phys 4121 
Typically offered:  Periodic Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Fall Odd Year 
Credits:  3.0 [max 3.0] 
Typically offered:  Fall Odd Year 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00744  Phys 4911/5081 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00744  Phys 4911/5081 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Spring Even Year 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2283/3283W 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02133  CSci 1133/CSci 1133H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  (Select a set) 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00259  MATH 4653/Math 5651/Stat 5101 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  01878  Chem 1065/Chem 1075H 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01884  Chem 1061/Chem 1071H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01884  Chem 1061/Chem 1071H 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01885  Chem 1062/Chem 1072H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  01879  Chem 1066/Chem 1076H 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  1.0 [max 1.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01929  Chem 2301/Chem 2331H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00467 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01525 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01212  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Spring Odd Year 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00984  HSci 4121/Phys 4121 
Typically offered:  Periodic Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Fall Odd Year 
Credits:  3.0 [max 3.0] 
Typically offered:  Fall Odd Year 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00744  Phys 4911/5081 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02133  CSci 1133/CSci 1133H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  (Select a set) 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00259  MATH 4653/Math 5651/Stat 5101 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00008 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01838 
Typically offered:  Periodic Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  02288 
Prerequisites:  [4201 or equiv], [CSci 1113 or equiv], CSE grad student 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Spring Even Year 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00728 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02015 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  CSci 4211/5211 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Periodic Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2283/3283W 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01212  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Spring Odd Year 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00984  HSci 4121/Phys 4121 
Typically offered:  Periodic Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Fall Odd Year 
Credits:  3.0 [max 3.0] 
Typically offered:  Fall Odd Year 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00744  Phys 4911/5081 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00259  MATH 4653/Math 5651/Stat 5101 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  (Select a set) 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00984  HSci 4121/Phys 4121 
Typically offered:  Periodic Spring 
Credits:  3.0 4.0 [max 4.0] 
Course Equivalencies:  00978  HSci 1814/HSci 3814 
Typically offered:  Every Fall & Spring 
Credits:  3.0 4.0 [max 4.0] 
Course Equivalencies:  00979 
Typically offered:  Periodic Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00518  PSTL 1281/Psy 1001/Psy 1001H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01327 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Grading Basis:  AF or Aud 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Spring Even Year 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01702  Geo 3402/Geo 5402 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Math 2283/3283W 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01212  Math 4242/Math 4457 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Periodic Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Grading Basis:  AF or Aud 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Spring Odd Year 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00984  HSci 4121/Phys 4121 
Typically offered:  Periodic Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall & Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Spring 
Credits:  3.0 [max 3.0] 
Typically offered:  Fall Odd Year 
Credits:  3.0 [max 3.0] 
Typically offered:  Fall Odd Year 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  00744  Phys 4911/5081 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  02133  CSci 1133/CSci 1133H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00259  MATH 4653/Math 5651/Stat 5101 
Typically offered:  Every Fall & Spring 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  (Select a set) 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  00003  Ast 1001/1005/1011H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01525 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  01201  Geo 1001/1005/1012/1101/1105 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Course Equivalencies:  Geo 1006/5006 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01884  Chem 1061/Chem 1071H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  01878  Chem 1065/Chem 1075H 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  3.0 [max 3.0] 
Course Equivalencies:  01885  Chem 1062/Chem 1072H 
Typically offered:  Every Fall, Spring & Summer 
Credits:  1.0 [max 1.0] 
Course Equivalencies:  01879  Chem 1066/Chem 1076H 
Grading Basis:  AF only 
Typically offered:  Every Fall, Spring & Summer 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Spring 
Credits:  4.0 [max 4.0] 
Typically offered:  Every Fall 
Credits:  3.0 [max 3.0] 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Fall 
Credits:  5.0 [max 5.0] 
Typically offered:  Every Spring 