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-~~NOTOC~~
-======Additional Programmatic Requirements by Sub-Plan (48-52 cr.)======
-In addition to the core requirements, students must select one of the five sub-plans detailed below.
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-=== Professional Physics Sub-Plan===
-This sub-plan is ideal for those 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 Sub-Plan: Additional Programmatic Requirements (50-52 cr.)** ^^**Credits**^
-| PHYS 4001 | Analytical Mechanics | 4 |
-| PHYS 4002 | Electricity and Magnetism | 4 |
-| PHYS 4101 | Quantum Mechanics | 4 |
-| PHYS 4201 | Statistical and Thermal Physics | 3 |
-| PHYS 4051 | Methods of Experimental Physics I | 5 |
-| PHYS 4052W | Methods of Experimental Physics II | 5 |
-| Technical electives with approval of advisor. These are in addition to any courses listed above. || 25 |
-Technical electives must include at least one upper division physics elective (3-4 credits) and at least one upper division math elective (3-4 credits).
-A physics elective is any course with a PHYS designator at the 3XXX-level or above. PHYS 4303 "Optics and Acoustics" is strongly recommended for those intending to pursue graduate study. A technical elective is any course in CSE or CBS at the 3XXX-level and above. The 1XXX-level CSCI programming courses in java and C++ are also accepted.
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- === Engineering Physics Sub-Plan ===
-Students who are interested in the practical application of physics to the engineering fields, but who would like a less specialized education that they would find in an engineering department, will find that this degree track 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 Physics Sub-Plan: Additional Programmatic Requirements (48-50 cr.) ^^ Credits ^
-| PHYS 4001 | Analytical Mechanics | 4 |
-| PHYS 4002 | Electricity and Magnetism | 4 |
-| PHYS 4101 | Quantum Mechanics | 4 |
-| PHYS 4201 | Statistical and Thermal Physics | 3 |
-| Up to two of the above courses may be replaced by courses covering related material offered in other CSE departments after approval by the student's advisor. |||
-| PHYS 4051 | Methods of Experimental Physics I | 5 |
-| PHYS 4052W | Methods of Experimental Physics II | 5 |
-| Technical electives in engineering and related areas with approval of advisor. These are in addition to any courses listed above. || 25 |
-Note that CHEM 1021, which is required for several of the engineering majors, is strongly recommended.
-A technical elective is any course in CSE or CBS at the 3XXX-level and above. The 1XXX-level CSCI programming courses in java and C++ are also accepted. In filling the engineering portion of the technical electives, credits can be taken in a single area or distributed across several engineering fields, depending on student's interest.
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- === Physics with a Biological Emphasis ===
-This option is designed for students who have an interest in the application of physics to biology, including its application at a fundamental level to the understanding of biological systems, its application to measuring-systems for biomedical applications, and as a basis for biomedical engineering. Students preparing for direct employment in biomedical-related industry might be interested in this option. Likewise, students might adopt this emphasis with an interest in pursuing graduate study in molecular biology, physiology, medical physics, or biomedical engineering. Students planning to go on to medical school might also be interested in this option, although such students may find it simpler to satisfy the entrance requirements for medical school through a physics major in CLA.
-^ Courses ^ Credits ^
-^ Chem 1021,1022  | Chemical Principles I, II | 8 |
-^ Chem 2301  | Organic Chemistry I  | 3 |
-^ BioC 3021 | Biochemistry | 3 |
-^  Biol 1009* | General Biology (Counted in the CLE requirement above) | 14 |
-* Technical electives in Biology (at 3xxx level and above) and related areas
-Plus at least one course in each of the two remaining areas (6-8 credits) not already chosen from the list of Phys 4001, 4002, 4101, and 4201 above. These may be the physics courses listed, themselves, or approved substitutes as listed below:
-^ Courses ^ Credits ^
-^ Phys 3201, or Chem 3501 | Physical Chemistry I | 3 |
-^  Phys 4001 | | 4 |
-^  Phys 4002 | | 4 |
-^  Phys 4101, or Chem 3502  | Physical Chemistry II | 4 (3) |
-The additional requirements here include a basic minimum of chemistry and biochemistry for further work in biology-related areas. As in the earlier two emphases, coursework in all four of the upper division core areas is required, but in this case, coursework in two of these areas may be taken in chemistry, a path which is recommended for students planning to do graduate work in biology.
-As in the other emphases, the student's advisor will be able to recommend suitable courses that might be used to satisfy the requirement of 14 credits in biology and related areas. Students interested in a direct discussion of the application of physical principles to biology might consider Phys 5401 and 5402, Physiological and Radiological Physics, respectively.
-== Physics for Teaching ==
-This option is intended for students who may be interested in teaching physics at the secondary school level. The emphasis in this program is less on advanced formal study of physics and more on a broad training in physics and related scientific topics that would be of most use in working with high-school students. This program is intended, in particular, to fit well with the requirements of the new State of Minnesota licensure for the teaching of physics in secondary schools. Nevertheless, it is designed so as not to preclude other career options, including graduate school in physics, should a student's interests change.   The total number of credits from the following courses must be greater than or equal to 30.
-^ Courses ^ Credits ^
-^ Chem 1021-1022 | Chemical Principles I, II | 8 |
-^ One upper level course from each of the following four groups:||
-^ History and philosophy of science, e.g. | |
-^ Phys 4111 | History of Nineteenth-Century Physics  | 3 |
-^ Phys 4121 | History of Twentieth-Century Physics | 3 |
-^ Relativity, astrophysics, and cosmology, e.g. ||
-^ Ast 2001 | Introduction to Astrophysics | 4 |
-^ Phys 4911 | Introduction to Biopolymer Physics | 3 |
-^ Phys 5022 | Relativity, Cosmology and the Universe | 4 |
-^ Earth sciences, e.g. | |
-^ Geo 2201 | Geodynamics I: The Solid Earth | 4 |
-^ Geo 3201 | Geodynamics II: The Fluid Earth  | 4 |
-^ Geo 2303  | Geochemical Principles |  3 |
-^ Geo 3401 | Geochronology and Earth History | 3 |
-^ Science for technology, e.g. | |
-^ Phys 4711 | Introduction to Optics | 3 |
-^ EE 5621 | Physical Optics and EE5622. Physical Optics Laboratory | 4 |
-^ Phys 5701 | Solid State Physics for Engineers and Scientists | 4 |
-^ AEM 4201 | Fluid Mechanics  | 4 |
-**Additional technical electives to complete a total of 30 credits**
-All courses must be selected with the approval of the student's advisor. The courses listed above are merely suggestions for appropriate courses to fill this requirement.
-Included in a student's overall program must be two courses in Engineering, one of which has a substantial design component. In addition, a student must acquire a knowledge of computer programming in at least one language, either through coursework or individual study and practice, if he or she does not already have such knowledge.
-Students following this option in preparation for secondary school teaching are strongly recommended to participate in a program of voluntary teaching at some point during their undergraduate years.
-If a student who pursues this option still has in mind the possibility of doing graduate study in physics, he or she would be wise to try to work in all four of the upper division core courses, Phys 3201, 4001, 4002 and 4101.
-**Computational Physics Emphasis**
-Students who are interested in the practical application of physics and computational methods, but would like a less specialized education than they would find in a computer science department, will find that this degree track provides them with a solid education.  In addition to the strong physics core curriculum, students can focus on the use of computational techniques in a number of scientific fields, such as physics, chemistry, geophysics, and different engineering fields.  Students interested in moving directly into industry, and students who want to pursue a graduate degree in either computational methods or physics, will find this program valuable.
-Plus at least one course in each of the two remaining areas (7-8 credits) not already chosen from the above list of Phys 3201, 4001, 4002 and 4101.  These may be the physics courses listed, themselves, or approved substitutes as listed below.  Other substitutions can be made with the approval of the faculty advisor or DUS.
-^ Courses ^ Credits ^
-^ Phys 3201 or Geo 5202 | Geological Thermomechanical Modeling or Chem 3501 Physical Chemistry | 3 |
-^ Phys 4001 or AEM 2021 | Statics and Dynamics or AEM 4201 Fluid Mechanics | 4 |
-^ Phys 4002 | | 4 |
-^ Phys 4101 | 4 |
-**Additional Programmatic Requirements (14-15 credits)**
-^ Courses ^ Credits ^
-^ CSci 1901  | Structure of Computer Programming | 3-4 |
-^ or CSci 1107 | Introduction to Fortran | 3-4 |
-^ or CSCI 1113 | Introduction to C/C++	| 3-4 |
-^ CSci 2031 | Introduction to Numerical Computation | 4 |
-^ (Ast4101 or comparable Math or Physics course) |Computational Methods |  4 |
-^ Chem. 5012  | Computational Chemistry | 3 |
-^ or AEM 4251 | Computational Fluid Mechanics |
-**Technical electives in computation, physics and related areas at upper division level (11-14 cr.)**
-Examples include
-^Course number ^ description ^
-^ Geo 5201 | Time-Series Analysis |
-^ Geo 5802 | Scientific Visualization |
-^ Geo 5202 | Geological Thermomechanical Modeling |
-^ Math 5487 + 5488 | Computational Methods for Differential and Integral Equations I and II |
-^ Math 5485 + 5486 | Introduction to Numerical Methods I and II  |
-^ Math 5481 | Math of Industrial Problems |
-^ Math 4567 | Fourier Analysis |
-^ Phys 5041 + 5042 | Analytical and Numerical Methods I and II |
-^ CE 3101 | Computer Application in Civil Engineering. |

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