DEPARTMENT OF PHYSICS

Transcription

1 Department of Physics 1 DEPARTMENT OF PHYSICS Rockefeller Building physics.case.edu Phone: ; Fax: Kathleen Kash, Department Chair kathleen.kash@case.edu The Department of Physics offers programs leading to the following undergraduate degrees: Bachelor of Arts, Bachelor of Science in physics, Bachelor of Science in mathematics and physics, and Bachelor of Science in engineering with an engineering physics major. Associated with the Bachelor of Science in physics degree are optional concentrations in mathematical physics and in biophysics. The department also offers the graduate degrees Master of Science and Doctor of Philosophy, as well as a unique master s degree in entrepreneurship. All of these programs involve the study of the basic laws of nature and the properties of energy and matter in their various forms. The curriculum reflects the varied interests of the faculty and will prepare students for a wide range of future activities. At the undergraduate level, open electives and engineering physics concentration area courses tailor the programs to the student s interests and career plans. Employment opportunities at the bachelor s level include research, development, and technical assistance (engineering, computer programming, management) in industrial, government, and university settings. A similar flexibility exists in the first few years of graduate study. The research leading to the PhD degree normally centers on a specific area of physics. However, even at this stage, the broad background and training characteristic of a physics degree are emphasized. Undergraduate Programs Majors Course requirements and typical schedules for the majors are summarized in the Plan of Study Grids (click the button above). Bachelor of Arts in Physics The BA physics major includes a large number of elective courses, making it easy for the student to pursue other interests or complete a second major while earning a degree in physics. Teacher Licensure Option The physics department offers a special option for undergraduate students who wish to pursue a physics major and a career in teaching. The Adolescent to Young Adult (AYA) Teacher Education Program in Physical Sciences prepares CWRU students to receive an Ohio Teaching License for grades Students declare a second major in education, which involves hours in education and practicum requirements, and complete a planned sequence of physics courses within the context of the BA Physics major. The program is designed to offer several unique features not found in other programs and to place students in mentored teaching situations throughout their teacher preparation career. This small, rigorous program is designed to capitalize on the strengths of CWRU's physics department, its Teacher Education Program, and the relationships the university has built with area schools. (For details on education course work, see the program description for Teacher Licensure ( teacherlicensureprogram) elsewhere in this bulletin.) Bachelor of Science in Physics The BS degree has two alternatives to the standard program: a mathematical physics concentration and a biophysics concentration. BSE Degree in Engineering Physics The BSE degree in engineering physics supplies an excellent background for graduate studies in physics, but is also designed for students who value an engineering credential and who are considering a career in engineering, either through employment following the BSE or through engineering graduate studies. This degree is awarded by the Case School of Engineering and includes the Engineering Core Curriculum. The technical electives in this program are concentrated in any of sixteen specific engineering areas. BS in Mathematics and Physics The BS in mathematics and physics is a single degree for students interested in advanced mathematics and theoretical physics. This degree is distinct from the mathematical physics concentration in the BS in physics degree. The program is jointly administered by the Department of Physics and the Department of Mathematics, Applied Mathematics, and Statistics. Students may be advised by faculty members from either department. All BS, BA, and BSE candidates have an opportunity to complete a yearlong research project in which they work one-on-one with a faculty researcher, write a senior thesis, and present their work in public. Minor Course requirements for the minor in physics are as follows: PHYS 121 General Physics I - Mechanics or PHYS 115 or PHYS 12 PHYS 122 or PHYS 116 or PHYS 12 Introductory Physics I Physics and Frontiers I - Mechanics General Physics II - Electricity and Introductory Physics II Physics and Frontiers II - Electricity and PHYS 221 Introduction to Modern Physics Two of the following courses: 6 PHYS 01 PHYS 10 PHYS 1 PHYS 15 PHYS 16 PHYS 20 PHYS 2 PHYS 26 PHYS 27 PHYS 28 or PHYS 6 Advanced Laboratory Physics I Classical Mechanics Thermodynamics and Statistical Mechanics Introduction to Solid State Physics Introduction to Nuclear and Particle Physics Introduction to Biological Physics Electricity and I Physical Optics Laser Physics Cosmology and the Structure of the Universe Modern Cosmology

2 2 Department of Physics PHYS 1 PHYS 2 Introduction to Quantum Mechanics I Introduction to Quantum Mechanics II Total 17 Graduate Programs in Physics Overview The graduate student in physics has two primary responsibilities: to broaden and deepen his or her own understanding of physics, and to contribute in a significant way to the progress of physics as a research discipline. Neither of these efforts can be completely separated from the other. Your understanding of physics is necessarily reflected in your research: your research will help to deepen your understanding of physics. However, the relative emphasis gradually shifts during graduate study from early concentration on formal course work to the original research necessary for a PhD dissertation. At Case Western Reserve University, the formal requirements for the PhD degree are a course requirement, a qualifying examination, and a dissertation requirement. Exceptions to these departmental requirements are possible, and individual requests for changes will be carefully considered. There is no foreign language requirement. Although most students apply to the department s PhD program, the department maintains a master s degree program as well. This program involves fewer courses than the PhD program, and may or may not involve a dissertation, depending upon the student s needs and interests. The requirements for the master's degree are outlined in the relevant section below. The department also has a master s track in Physics Entrepreneurship. This program is designed for students who have a background in physics and a passion for innovation, entrepreneurship, and working for small companies and startups. Students study graduate-level physics, practical business, and technology innovation while working on a real-world entrepreneurial project with an existing company or their own startup. The Physics Entrepreneurship Program helps connect students with mentors, advisors, partners, funding sources and job opportunities. The requirements for this master s track are outlined in the relevant section below. Requirements for Graduation Requirements for the Ph.D. degree include course work, the PhD qualifying examination, a topical oral examination, and submission and defense of a written thesis. Requirements for the master's degree include course work and either a comprehensive examination or a thesis. Requirements for the master s degree, Entrepreneurship Track, include course work and a thesis. Required Courses for the PhD Degree With the help of a faculty advisor, students choose a curriculum of course work from among a large array of offerings in physics and related science and engineering departments. The university requires a total of 6 hours of course work for students entering with a bachelor's degree, or 18 hours of course work for those students entering with a master's degree. This requirement may be met by supervised research, by lecture courses, by reading courses, or a combination. Twelve of the course hours involve required courses, but any of these requirements may be waived for students who have had the equivalent material elsewhere or, in the case of Graduate Laboratory, equivalent experience elsewhere. The required courses are: Two from the following five: PHYS 27 Laser Physics PHYS 1 Physics of Imaging PHYS 1 Physics of Condensed Matter I PHYS 51 Empirical Foundations of the Standard Model PHYS 65 General Relativity or PHYS 6 Modern Cosmology Additionally, students are required to take PHYS 72 Graduate Physics Laboratory plus one additional 00- or 500-level lecture course from the following list*: PHYS 2 Physics of Condensed Matter II PHYS 51 Empirical Foundations of the Standard Model PHYS 60 Advanced Topics in NMR Imaging PHYS 59 Special Topics Seminar PHYS 566 Cosmology PHYS 581 Quantum Mechanics III PHYS 591 Gauge Field Theory I *Other courses, either in physics or in other departments, may be substituted by petition. Note that courses that have dual listings with 00-level courses generally do not satisfy this requirement. Although not required, most students take the following introductory courses during the first year, as much of the PhD qualifying exam is based on material in these courses: PHYS 1 Introduction to Quantum Mechanics I and PHYS 2 Introduction to Quantum Mechanics II PHYS 2 Classical Electromagnetism PHYS 1 Classical and Statistical Mechanics I and PHYS 1 Classical and Statistical Mechanics II The classroom lecture courses will be augmented by official reading courses, which will have specified syllabi (published in the catalogue and monitored by the Graduate Committee), graded homework, and final examinations. Courses in special topics, as well as individualized study, can be arranged by mutual consent when the demand is sufficient. Required Courses for the Master s Degree The requirements for the MS degree depend on whether or not the candidate completes the research and writing for a master s thesis. A total of 27 credit hours of graduate course work must be completed. The two options corresponding to Program A (with thesis) and Program B (without thesis) are as follows: Program A: MS with Thesis PHYS 1 Classical and Statistical Mechanics I ( hours) PHYS 2 Classical Electromagnetism ( hours) PHYS 651 Thesis M.S. (6 to 9 hours) Other graduate courses (15 to 12 hours, of which at least 6 must be in physics) Thesis and oral defense

3 Department of Physics Program B: MS without Thesis PHYS 1 Classical and Statistical Mechanics I ( hours) PHYS 2 Classical Electromagnetism) ( hours) Other graduate courses (21 hours, of which at least 9 must be in physics) Comprehensive examination (Given in May and August) The 27 hours of required courses can generally be completed in three semesters, though thesis research and writing may take longer. Candidates must be in residence (paying tuition) during the semester in which they complete requirements and receive the degree; applications for degree should be filed early in the third semester. Candidates for the PhD degree may apply for and receive the MS degree on the basis of work completed toward the PhD. Required Courses for the Master s Degree, Entrepreneurship Track The requirements for the master s degree, Entrepreneurship Track, are 27 credit hours as follows: PHYS 91 Modern Physics for Innovation I ( hours) PHYS 92 Modern Physics for Innovation II ( hours) PHYS 9 Feasibility and Technology Analysis ( hours) PHYS 9 Technology-Based Venture Creation ( hours) 00-level Physics Elective ( hours) Restricted Elective ( - 6 hours) Thesis work (PHYS 651) (6-9 hours) The program is typically a two-year program. Additional Courses for Cultural Purposes The university permits graduate students to enroll in up to eight fellowship courses that are not counted toward the degree requirements for no additional charge. These may include courses in foreign language, history, philosophy, business and management, music, engineering, etc. These courses will be graded, and a grade will appear on the student s transcript. PhD Qualifying Examination and Master s Comprehensive Examination The PhD qualifying examination is based on advanced undergraduate material and on material covered in the introductory courses: Quantum Mechanics I & II; Classical Electromagnetism; and Classical and Statistical Mechanics I & II. Additionally, written material from the graduate laboratory course and undergraduate courses (such as relativity) may be incorporated into the qualifying exam. A normally prepared student will be expected to take the qualifying examination in May at the end of the first year of graduate study. Students who fail the first time will speak with the chair of the qualifying committee and Director of Graduate Studies to ascertain if there is a disconnect between knowledge and performance on the exam. They will discuss with the student how best to maximize the chance of passing on the student s second attempt, generally in mid to late August. For students not passing the second time, the chair of the qualifying committee and Director of Graduate Studies will discuss the student s future plans, or the unusual possibility of a third exam. Program B candidates for the master s degree (not Entrepreneurship Track) must complete a comprehensive examination. This examination is identical to, and offered the same time as, the PhD qualifying examination. The passing grade for the master s exam is set lower than the passing grade for the PhD qualifying examination. Students who fail the first time will be allowed a second opportunity in August. Under special circumstances, students may be given an oral examination instead of a written exam. The PhD qualifying and master s comprehensive examination consists of a written two-day examination. Several months in advance of the date for the qualifying examination, a written announcement is made which gives more specific details about the forthcoming examination. Previous examinations are on file and available to students. Admission to PhD Candidacy A student will be admitted to PhD candidacy upon passing the qualifying exam and upon a vote of the faculty to determine whether the student is making satisfactory academic progress. Topical Oral Exam Within one year of formal association with a research advisor, but no later than the end of the fifth semester after a student matriculates, each student will have an oral examination of her/his research progress with the dissertation committee. The examination will consist of a presentation by the student relating to literature in her/his thesis topic, a proposed direction for work, and a progress report. Passing this examination is a requirement for the PhD degree. If the time deadline cannot be met because of extenuating circumstances, the student may petition the graduate committee for an extension. Advising Upon entry to graduate school, the master s or PhD student s academic advisor will be the department s Director of Graduate Studies. Eventually, each successful student will acquire a research advisor and dissertation committee. At that time, the responsibility of the Director of Graduate Studies will greatly diminish, but not vanish entirely. It will remain the Director s responsibility to assist the research advisor in academic matters. The Director of Graduate Studies, as well as the research advisor, will countersign the student s course program. It is the responsibility of the Director of Graduate Studies to follow the career of the student and see that all requirements for the degree are fulfilled. The director of the Physics Entrepreneurship Program will be the academic advisor for students in the Entrepreneurship Track of the master s program. Each successful student will also acquire a research advisor and thesis committee, which will meet with the student at least once per semester. It is the responsibility of the director of the Physics Entrepreneurship Program to follow the career of the students in this track and see that all requirements for the degree are fulfilled. PhD Research and Dissertation A PhD degree implies, in addition to the course and qualifying exam requirements, the performance of a piece of original research and its presentation as a doctoral dissertation. The research requirement for the PhD is at the heart of the doctoral program. The final requirement for the PhD degree is the written doctoral dissertation and oral defense. Entering students should interest themselves in the available research possibilities in the physics department at an early state of their careers. They should be thinking about the area of interest, the kind of problem they would like to tackle, and the faculty member under whose direction

4 Department of Physics they would like to work. As soon as they have passed the qualifying exam, they should devote themselves increasingly to research. By January or February of the first year, the student should begin to speak with faculty members about their research, and ultimately find a faculty member who will sponsor and supervise the student s work. The relationship between a student and research advisor is a very close one. It is in the course of this relationship that students develop their skills in the actual doing of physics. Students should give much thought to their choice of research area and research advisor. Once a student has made this commitment, it takes the highest priority. Students must understand that they are unlikely to bring their thesis research to a successful conclusion without a total commitment on their part. Our policy on financial support of graduate students reflects the importance of such a commitment. Renewal of a student s support will be contingent upon evidence of progress toward a degree. Colloquia and Seminars In addition to course work and individualized direction in research, the physics department provides a third medium of teaching, colloquia and seminars, which are shared by students and faculty alike. Colloquia are talks of a general nature, given at a level that all graduate students in all areas of physics should be able to follow. They are usually held on Thursdays. Notices (and, whenever possible, brief introductions to the subject) will be distributed well in advance of each colloquium. Graduate students are urged and expected to attend all of these colloquia. (All graduate students are required to register each semester for the zero-credit-hour course PHYS 666 Frontiers in Physics, which consists of attendance at colloquia.) Seminars tend to deal with more specific topics and often require some expertise in the field. Some groups hold weekly luncheon seminars; others meet whenever a speaker is available. Advanced students are expected not only to attend, but also to participate in the seminars in their fields. Students who have not yet chosen a field of research may find the seminars a valuable means of sampling the types of research available. Students in the Entrepreneurship Track are expected to attend all of that program s seminars, and are encouraged to attend other relevant seminars. Policy on Working Outside the Department The teaching and research assistantships represent a rich and exciting experience and a total time commitment on the part of both the graduate student and his or her advisor. It is generally not advisable for a student to accept other employment or non-family responsibilities, inside or outside of the department or university. If a student nevertheless desires an additional position, written approval must first be obtained from the student s advisor, and a petition then made to the Graduate Committee. Prior approval of the committee is required in order to avoid a possible reduction or termination in assistantship financial support. A variety of special circumstances may arise in the case of students in the Entrepreneurship Track. Oversight will be provided by the Physics Entrepreneurship Committee, and approval of the director of the Physics Entrepreneurship Program is required. Requirements Tables for Physics Programs Bachelor of Arts in Physics The Bachelor of Arts degree with a physics major requires completion of the Arts and Sciences General Education Requirements (GER) and 120 total credits, of which 50 are specified by the physics department as shown below. Courses specified for this major satisfy the 6-credit Arts and Sciences GER in Sciences and Mathematics. One of the following: PHYS 115 PHYS 121 PHYS 12 Introductory Physics I General Physics I - Mechanics Physics and Frontiers I - Mechanics One of the following: PHYS 116 PHYS 122 PHYS 12 All of the following: Introductory Physics II General Physics II - Electricity and Physics and Frontiers II - Electricity and PHYS 221 Introduction to Modern Physics PHYS 01 Advanced Laboratory Physics I PHYS 0 PHYS 1 PHYS 1 Advanced Laboratory Physics 1 Seminar Thermodynamics and Statistical Mechanics Introduction to Quantum Mechanics I Two of the following: 6 PHYS 250 PHYS 10 PHYS 15 PHYS 16 PHYS 20 PHYS 2 PHYS 26 PHYS 27 PHYS 28 Computational Methods in Physics Classical Mechanics Introduction to Solid State Physics Introduction to Nuclear and Particle Physics Introduction to Biological Physics Electricity and I Physical Optics Laser Physics Cosmology and the Structure of the Universe 1 PHYS 6 Modern Cosmology 1 PHYS 65 All of the following: General Relativity Intro Science 1 2 Intro Science 2 2 ENGR 11 Elementary Computer Programming or EECS 12 MATH 121 or MATH 125 Introduction to Programming in Java Engineering I Math and Calculus Applications for Life, Managerial, and Social Sci I One of the following: MATH 122 Engineering II

5 Department of Physics 5 MATH 12 MATH 126 MATH 22 or MATH 227 Calculus II Math and Calculus Applications for Life, Managerial, and Social Sci II Engineering III Calculus III MATH 22 Elementary Differential Equations SAGES First and University Seminars 10 SAGES Departmental Seminar 2- SAGES Capstone - Breadth Requirements 5 12 Open electives 6-1 PHED Physical Education (2 semesters) 0 Total Students may choose only one of these two courses to satisfy the requirements of the BA degree. A two-course science sequence chosen from ASTR 221 Stars and Planets and ASTR 222 Galaxies and Cosmology; CHEM 105 Principles of Chemistry I and CHEM 106 Principles of Chemistry II; CHEM 111 Principles of Chemistry for Engineers and ENGR 15 Chemistry of Materials; BIOL 21 Genes, Evolution and Ecology and BIOL 215 Cells and Proteins; EEPS 101 (Earth & Planets) or EEPS 110 (Physical Geology); and EEPS 115 (Introduction to Oceanography) or EEPS 117 (Weather and Climate or another two-course sequence totaling 6 or more credits in a quantitative science (other than physics), with approval of the physics undergraduate curriculum committee. PHYS 0 + PHYS 52 can be used to satisfy this requirement. PHYS 51 can be used to satisfy this requirement. The breadth requirements include 6 hours of Social Sciences and 6 hours of Arts and Humanities. This may increase by credits if the required Global and Cultural Diversity course is not also one of the breadth requirement courses. Courses required for the BA in Physics satisfy the 6-credit GER for Natural Sciences and Mathematics as well as the Quantitative Reasoning course requirement. The number of open electives will vary depending on course choices made by each student. The BA degree requires a minimum of 0 semester hours at the level, of which only 16 are specified as PHYS courses. No more than 2 hours beyond the 100-level in any one department (the physics BA specifies 19 such credits) may be applied to the 120 credit total and at least 90 credits must be in the College of Arts and Sciences. Typical Schedule First Year General Physics I - Mechanics (PHYS 121) or Physics and Frontiers I - Mechanics (PHYS 12) Engineering I (MATH 121) Intro Science Elective I SAGES First Seminar Physics Today and Tomorrow (PHYS 166) 1 Engineering II (MATH 122) General Physics II - Electricity and (PHYS 122) or Physics and Frontiers II - Electricity and (PHYS 12) Intro Science Elective II University Seminar Elementary Computer Programming (ENGR 11) Year Total: Second Year Introduction to Modern Physics (PHYS 221) Engineering III (MATH 22) University Seminar Humanities/Social Science Elective Open Elective Physics Elective Elementary Differential Equations (MATH 22) Humanities/Social Science Elective Open Elective Open Elective Year Total: Third Year Advanced Laboratory Physics I (PHYS 01) Advanced Laboratory Physics Seminar (PHYS 0) 1 Thermodynamics and Statistical Mechanics (PHYS 1) Introduction to Quantum Mechanics I (PHYS 1) Humanities/Social Science Elective Open Elective 2 Physics Elective Global and Cultural Diversity Elective Humanities/Social Science Elective Open Elective Open Elective Year Total: Fourth Year Senior Physics Project (PHYS 51) 2 Senior Physics Project Seminar (PHYS 52) 1 Open Elective Open Elective Open Elective Open Elective Senior Physics Project (PHYS 51) 2 Senior Physics Project Seminar (PHYS 52) 1 Open Elective Open Elective Open Elective

6 6 Department of Physics Year Total: Total in Sequence: 120 Bachelor of Science in Physics The Bachelor of Science in physics requires completion of the courses listed in the table below as well as the Arts and Sciences General Education Requirements, for a total of 127 credits. Many courses may be taken at times other than those shown in the "Typical Schedule" tables below. PHYS 121 General Physics I - Mechanics or PHYS 12 PHYS 122 or PHYS 12 Physics and Frontiers I - Mechanics General Physics II - Electricity and Physics and Frontiers II - Electricity and PHYS 20 Analog and Digital Electronics PHYS 20 Advanced Instrumentation Laboratory PHYS 221 Introduction to Modern Physics PHYS 250 Computational Methods in Physics PHYS 01 Advanced Laboratory Physics I PHYS 02 Advanced Laboratory Physics II PHYS 0 Advanced Laboratory Physics Seminar PHYS 10 Classical Mechanics PHYS 1 Thermodynamics and Statistical Mechanics PHYS 2 Electricity and I PHYS 25 Electricity and II PHYS 1 PHYS 2 Introduction to Quantum Mechanics I Introduction to Quantum Mechanics II Choose one of the following: PHYS 15 PHYS 20 PHYS 26 PHYS 27 Introduction to Solid State Physics Introduction to Biological Physics Physical Optics Laser Physics Choose one of the following: PHYS 16 PHYS 28 PHYS 6 PHYS 65 Introduction to Nuclear and Particle Physics Cosmology and the Structure of the Universe Modern Cosmology General Relativity CHEM 105 Principles of Chemistry I - or CHEM 111 Principles of Chemistry for Engineers CHEM 106 Principles of Chemistry II - or ENGR 15 Chemistry of Materials ENGR 11 Elementary Computer Programming or EECS 12 MATH 121 Introduction to Programming in Java Engineering I 1 MATH 122 or MATH 12 MATH 22 or MATH 227 Engineering II Calculus II Engineering III Calculus III MATH 22 Elementary Differential Equations SAGES First and University Seminars 10 SAGES Departmental Seminar 1 2- SAGES Capstone 2 - Breadth Requirements 12 Open Electives 2-19 PHED Physical Education (2 semesters) 0 Total PHYS 0 Advanced Laboratory Physics Seminar + PHYS 52 Senior Physics Project Seminar can be used to satisfy this requirement. PHYS 51 can be used to satisfy this requirement. The breadth requirements include 6 hours of Social Sciences and 6 hours of Arts and Humanities. This may increase by credits if the required Global and Cultural Diversity course is not also one of the breadth requirement courses. Courses required for the BS in physics satisfy the 6-credit GER for Natural Sciences and Mathematics as well as the Quantitative Reasoning course requirement. The number of open electives may vary, depending on course choices made by the student, but the degree requires that the total number of credits be at least 127. Typical Schedule First Year General Physics I - Mechanics (PHYS 121) or Physics and Frontiers I - Mechanics (PHYS 12) Engineering I (MATH 121) Principles of Chemistry I (CHEM 105) or Principles of Chemistry for Engineers (CHEM 111) SAGES First Seminar Physics Today and Tomorrow (PHYS 166) 1 General Physics II - Electricity and (PHYS 122) or Physics and Frontiers II - Electricity and (PHYS 12) - Engineering II (MATH 122) Principles of Chemistry II (CHEM 106) or Chemistry of Materials (ENGR 15) Elementary Computer Programming (ENGR 11) University Seminar Year Total:

7 Department of Physics 7 Second Year Analog and Digital Electronics (PHYS 20) Introduction to Modern Physics (PHYS 221) Engineering III (MATH 22) University Seminar Humanities/Social Science Elective Advanced Instrumentation Laboratory (PHYS 20) Computational Methods in Physics (PHYS 250) Classical Mechanics (PHYS 10) Elementary Differential Equations (MATH 22) Humanities/Social Science Elective Year Total: Third Year Advanced Laboratory Physics I (PHYS 01) Advanced Laboratory Physics Seminar (PHYS 0) 1 Thermodynamics and Statistical Mechanics (PHYS 1) Introduction to Quantum Mechanics I (PHYS 1) Humanities/Social Science Elective Open Elective Advanced Laboratory Physics II (PHYS 02) Electricity and I (PHYS 2) Introduction to Quantum Mechanics II (PHYS 2) Global and Cultural Diversity Elective Open Elective Year Total: Fourth Year Electricity and II (PHYS 25) Senior Physics Project (PHYS 51) 2 Senior Physics Project Seminar (PHYS 52) 1 Condensed Matter Physics Elective Open Elective Open Elective Senior Physics Project (PHYS 51) 2 Senior Physics Project Seminar (PHYS 52) 1 Particle/Astrophysics Elective Humanities/Social Science Elective Open Elective Open Elective -1 Year Total: Total in Sequence: 127 Bachelor of Science in Physics with Mathematical Physics Concentration Students who are interested in theoretical physics and who have a strong background in mathematics may consider this concentration. The program is based on the BS in physics, but with certain substitutions in the course requirements. Several of the laboratory courses are replaced by advanced mathematics courses, and some of the undergraduate physics courses are replaced by graduate courses. This program is not the same as the BS program in mathematics and physics, which provides a coherent and parallel education in both mathematics and physics. The following table shows the requirements for the Bachelor of Science in physics with mathematical physics concentration. PHYS 121 General Physics I - Mechanics or PHYS 12 PHYS 122 or PHYS 12 Physics and Frontiers I - Mechanics General Physics II - Electricity and Physics and Frontiers II - Electricity and PHYS 20 Analog and Digital Electronics PHYS 221 Introduction to Modern Physics PHYS 250 Computational Methods in Physics PHYS 01 Advanced Laboratory Physics I PHYS 0 Advanced Laboratory Physics Seminar PHYS 10 Classical Mechanics PHYS 1 Thermodynamics and Statistical Mechanics PHYS 9 Methods of Mathematical Physics I PHYS 50 Methods of Mathematical Physics II PHYS 81 Quantum Mechanics I Choose PHYS 2 or both PHYS 2 & PHYS 25 PHYS 2 PHYS 2 PHYS 25 Classical Electromagnetism Electricity and I Electricity and II PHYS 82 Quantum Mechanics II M-Group 1, 2 & 1 9 Choose one of the following: PHYS 15 PHYS 20 PHYS 26 PHYS 27 Introduction to Solid State Physics Introduction to Biological Physics Physical Optics Laser Physics Choose one of the following: PHYS 16 PHYS 28 PHYS 6 PHYS 65 Introduction to Nuclear and Particle Physics Cosmology and the Structure of the Universe Modern Cosmology General Relativity CHEM 105 Principles of Chemistry I - or CHEM 111 Principles of Chemistry for Engineers CHEM 106 Principles of Chemistry II - or ENGR 15 Chemistry of Materials ENGR 11 Elementary Computer Programming or EECS 12 MATH 121 Introduction to Programming in Java Engineering I 1

8 8 Department of Physics MATH 122 or MATH 12 MATH 22 or MATH 227 Engineering II Calculus II Engineering III Calculus III MATH 22 Elementary Differential Equations SAGES First and University Seminars 10 SAGES Departmental Seminar 2 2- SAGES Capstone - Breadth Requirements 12 Open Electives PHED 2 semesters 0 Total 127 Second Year Analog and Digital Electronics (PHYS 20) Introduction to Modern Physics (PHYS 221) Engineering III (MATH 22) University Seminar Humanities/Social Science Elective Computational Methods in Physics (PHYS 250) Classical Mechanics (PHYS 10) Elementary Differential Equations (MATH 22) Humanities/Social Science Elective Open Elective Year Total: M-group 1, 2 and are to be chosen, in consultation with the advisor, from among approved advanced mathematics or statistics courses. PHYS 0 Advanced Laboratory Physics Seminar + PHYS 52 Senior Physics Project Seminar can be used to satisfy the SAGES departmental seminar requirement. PHYS 51 can be used to satisfy the SAGES capstone requirement. The breadth requirements include 6 hours of Social Sciences and 6 hours of Arts and Humanities. This may increase by credits if the required Global and Cultural Diversity course is not also one of the breadth requirement courses. Courses required for the BS in physics satisfy the 6-credit GER for Natural Sciences and Mathematics as well as the Quantitative Reasoning course requirement. The number of open electives may vary, depending on course choices made by the student, but the degree requires that the total number of credits be at least 127. Third Year Advanced Laboratory Physics I (PHYS 01) Advanced Laboratory Physics Seminar (PHYS 0) 1 Thermodynamics and Statistical Mechanics (PHYS 1) Methods of Mathematical Physics I (PHYS 9) Quantum Mechanics I (PHYS 81) Humanities/Social Science Elective Methods of Mathematical Physics II (PHYS 50) Quantum Mechanics II (PHYS 82) Global and Cultural Diversity Elective Advanced Mathematics Elective Electricity and I (PHYS 2) Year Total: Typical Schedule First Year General Physics I - Mechanics (PHYS 121) or Physics and Frontiers I - Mechanics (PHYS 12) Engineering I (MATH 121) Principles of Chemistry I (CHEM 105) or Principles of Chemistry for Engineers (CHEM 111) Physics Today and Tomorrow (PHYS 166) 1 SAGES First Seminar General Physics II - Electricity and (PHYS 122) or Physics and Frontiers II - Electricity and (PHYS 12) - Engineering II (MATH 122) Principles of Chemistry II (CHEM 106) or Chemistry of Materials (ENGR 15) Elementary Computer Programming (ENGR 11) University Seminar Year Total: Fourth Year Senior Physics Project (PHYS 51) 2 Senior Physics Project Seminar (PHYS 52) 1 Condensed Matter Physics Elective Advanced Mathematics Elective Electricity and II (PHYS 25) Open Elective Senior Physics Project (PHYS 51) 2 Senior Physics Project Seminar (PHYS 52) 1 Particle/Astrophysics Elective Advanced Mathematics Elective Humanities/Social Science Elective Open Elective 5- Year Total: Total in Sequence: 127 Bachelor of Science in Physics with Biophysics Concentration This concentration is directed towards students interested in the combined study of biology and physics. The degree is a track within the

9 Department of Physics 9 standard BS in physics, in which four physics courses and certain open electives are replaced by a biogroup of five courses and a technical elective. The following table illustrates the requirements for the Bachelor of Science in physics with biophysics concentration. PHYS 121 General Physics I - Mechanics or PHYS 12 PHYS 122 or PHYS 12 Physics and Frontiers I - Mechanics General Physics II - Electricity and Physics and Frontiers II - Electricity and PHYS 20 Analog and Digital Electronics PHYS 20 Advanced Instrumentation Laboratory PHYS 221 Introduction to Modern Physics PHYS 250 Computational Methods in Physics PHYS 01 Advanced Laboratory Physics I PHYS 0 Advanced Laboratory Physics Seminar PHYS 10 Classical Mechanics PHYS 1 Thermodynamics and Statistical Mechanics PHYS 2 Electricity and I PHYS 25 Electricity and II PHYS 1 Introduction to Quantum Mechanics I Technical Elective 1 CHEM 105 Principles of Chemistry I - or CHEM 111 Principles of Chemistry for Engineers CHEM 106 Principles of Chemistry II - or ENGR 15 Chemistry of Materials CHEM 11 Principles of Chemistry Laboratory 2 ENGR 11 Elementary Computer Programming or EECS 12 MATH 121 MATH 122 or MATH 12 MATH 22 or MATH 227 Introduction to Programming in Java Engineering I Engineering II Calculus II Engineering III Calculus III MATH 22 Elementary Differential Equations B-Group B-Group B-Group 2 B-Group 2 B-Group SAGES First and University Seminars 10 SAGES Departmental Seminar 2- SAGES Capstone - Breadth Requirements 5 12 Open Electives PHED 2 Semesters 0 Total Suggested technical electives include PHYS 15 Introduction to Solid State Physics, PHYS 16 Introduction to Nuclear and Particle Physics, PHYS 20 Introduction to Biological Physics, PHYS 26 Physical Optics, PHYS 27 Laser Physics, PHYS 28 Cosmology and the Structure of the Universe, PHYS 6 Modern Cosmology, PHYS 65 General Relativity. B-group 1-5 are to be chosen in consultation with the biophysics academic advisor from among approved biology, biophysics, biochemistry, and biomedical engineering courses, including certain prerequisites as needed (e.g., chemistry). BIOL 21 Genes, Evolution and Ecology and BIOL 215 Cells and Proteins are suggested for B-group 1 and 2. PHYS 20 may be used as a B- group option if it is not selected as a PHYS technical elective. The listing of credits includes numbers for the most likely choices of courses and, in parentheses, possible alternatives. PHYS 0 Advanced Laboratory Physics Seminar + PHYS 52 Senior Physics Project Seminar can be used to satisfy the SAGES departmental seminar requirement. PHYS 51 can be used to satisfy the SAGES capstone requirement. The breadth requirements include 6 hours of Social Sciences and 6 hours of Arts and Humanities. This may increase by credits if the required Global and Cultural Diversity course is not also one of the breadth requirement courses. Courses required for the B.S. in physics satisfy the 6-credit GER for Natural Sciences and Mathematics as well as the Quantitative Reasoning course requirement. The number of open electives may vary, depending on course choices made by the student, but the degree requires that the total number of credits be at least 127. Typical Schedule First Year General Physics I - Mechanics (PHYS 121) or Physics and Frontiers I - Mechanics (PHYS 12) Engineering I (MATH 121) Principles of Chemistry I (CHEM 105) or Principles of Chemistry for Engineers (CHEM 111) Principles of Chemistry Laboratory (CHEM 11) 2 Physics Today and Tomorrow (PHYS 166) 1 SAGES First Seminar General Physics II - Electricity and (PHYS 122) or Physics and Frontiers II - Electricity and (PHYS 12) - Engineering II (MATH 122) Principles of Chemistry II (CHEM 106) or Chemistry of Materials (ENGR 15) Elementary Computer Programming (ENGR 11) Biogroup Elective Year Total:

10 10 Department of Physics Second Year Analog and Digital Electronics (PHYS 20) Introduction to Modern Physics (PHYS 221) Engineering III (MATH 22) Biogroup Elective University Seminar Advanced Instrumentation Laboratory (PHYS 20) Computational Methods in Physics (PHYS 250) Classical Mechanics (PHYS 10) Elementary Differential Equations (MATH 22) University Seminar Year Total: Third Year Advanced Laboratory Physics I (PHYS 01) Advanced Laboratory Physics Seminar (PHYS 0) 1 Thermodynamics and Statistical Mechanics (PHYS 1) Introduction to Quantum Mechanics I (PHYS 1) Biogroup Elective Humanities/Social Science Elective Electricity and I (PHYS 2) Biogroup Elective Global and Cultural Diversity Elective Humanities/Social Science Elective Open Elective Year Total: Fourth Year Electricity and II (PHYS 25) Senior Physics Project (PHYS 51) 2 Senior Physics Project Seminar (PHYS 52) 1 Physics Elective Humanities/Social Science Elective Open Elective Senior Physics Project (PHYS 51) 2 Senior Physics Project Seminar (PHYS 52) 1 Biogroup Elective Humanities/Social Science Elective Open Elective -1 Year Total: Total in Sequence: 127 Bachelor of Science in Engineering with Engineering Physics Major The engineering physics major allows students with strong interests in both physics and engineering to concentrate their studies in the common areas of these disciplines. The major prepares students to pursue careers in industry, either directly after undergraduate studies, or following graduate study in engineering or physics. Many employers value the unique problem-solving approach of physics, especially in industrial research and development. Its engineering science and design components prepare students to work as professional engineers. Students majoring in engineering physics complete the Engineering Core as well as a rigorous course of study in physics. Students select a concentration area from an engineering discipline, and must complete a sequence of at least four courses in this discipline. In addition, a senior research project under the guidance of a faculty member is required. The project includes a written report and participation in the senior seminar and symposium. The major requires the engineering general education requirements ( csedegree) and university general education requirements ( bulletin.case.edu/undergraduatestudies/degreeprograms). First Year General Physics I - Mechanics (PHYS 121) 2 Engineering I (MATH 121) 1 Principles of Chemistry for Engineers (CHEM 111) SAGES First Seminar General Physics II - Electricity and (PHYS 122) 2 Engineering II (MATH 122) 1 Elementary Computer Programming (ENGR 11) Chemistry of Materials (ENGR 15) Sages University Seminar Year Total: Second Year Introduction to Modern Physics (PHYS 221) Engineering III (MATH 22) Statics and Strength of Materials (ENGR 200) Introduction to Circuits and Instrumentation (ENGR 210) Sages University Seminar Instrumentation and Signal Analysis Laboratory (PHYS 208) Computational Methods in Physics (PHYS 250) Classical Mechanics (PHYS 10) Elementary Differential Equations (MATH 22) Thermodynamics, Fluid Dynamics, Heat and Mass Transfer (ENGR 225) Year Total: Third Year Advanced Laboratory Physics Seminar (PHYS 0) 1 Thermodynamics and Statistical Mechanics (PHYS 1) Engineering Physics Laboratory I (PHYS 17)

11 Department of Physics 11 Introduction to Quantum Mechanics I (PHYS 1) Engineering Concentration Humanities/Social Science Elective Engineering Physics Laboratory II (PHYS 18) Electricity and I (PHYS 2) Professional Communication for Engineers (ENGL 98) & Professional Communication for Engineers (ENGR 98) Humanities/Social Science Elective Engineering Concentration Year Total: Fourth Year Introduction to Solid State Physics (PHYS 15) Electricity and II (PHYS 25) Senior Physics Project Seminar (PHYS 52) 1 Senior Engineering Physics Project (PHYS 5) 2 Engineering Concentration Humanities/Social Science Elective Senior Physics Project Seminar (PHYS 52) 1 Senior Engineering Physics Project (PHYS 5) 2 Applied Quantum Mechanics Engineering Concentration Humanities/Social Science Elective Open Elective Year Total: Total in Sequence: Selected students may be invited to take MATH 12, 12, 227, and 228 in place of MATH 121, 122, 22, and 22. Selected students may be invited to take PHYS 12, 12 (Physics and Frontiers I, II Honors) in place of PHYS 121, 122. Engineering physics concentration courses are flexible, but they must be in a specific engineering discipline or study area and approved by an advisor. Possible concentration areas include aerospace engineering, biomedical engineering hardware, biomedical engineering software, chemical engineering, civil engineering (solid mechanics, structural and geotechnical, environmental), computer science, computer systems hardware, computer systems software, control systems and automation, electrical engineering, macromolecular science, materials science and engineering, mechanical engineering, signal processing, systems analysis and decision making. EECS 21, PHYS 15, PHYS 27, PHYS 2. Students may choose to fulfill this requirement in their third year. Bachelor of Science in Mathematics and Physics MATH 121 MATH 122 or MATH 12 Engineering I Engineering II Calculus II MATH 22 or MATH 227 Engineering III Calculus III MATH 22 Elementary Differential Equations MATH 07 Linear Algebra MATH 08 Introduction to Abstract Algebra MATH 21 Fundamentals of Analysis I MATH 22 Fundamentals of Analysis II MATH 2 Introduction to Complex Analysis PHYS 121 General Physics I - Mechanics or PHYS 12 PHYS 122 or PHYS 12 Physics and Frontiers I - Mechanics General Physics II - Electricity and Physics and Frontiers II - Electricity and PHYS 221 Introduction to Modern Physics PHYS 10 Classical Mechanics PHYS 1 PHYS 1 or PHYS 81 PHYS 2 or PHYS 82 Thermodynamics and Statistical Mechanics Introduction to Quantum Mechanics I Quantum Mechanics I Introduction to Quantum Mechanics II Quantum Mechanics II Choose PHYS 2 or both PHYS 2 & PHYS 25 PHYS 2 PHYS 2 PHYS 25 Classical Electromagnetism Electricity and I Electricity and II PHYS 72 Graduate Physics Laboratory MP Group 1 1 MP Group 2 1 MP Group 1 MP Group 1 CHEM 105 Principles of Chemistry I 2 - or CHEM 111 Principles of Chemistry for Engineers CHEM 106 Principles of Chemistry II 2 - or ENGR 15 ENGR 11 Chemistry of Materials Elementary Computer Programming Advanced Physics Elective SAGES First and University Seminars 10 SAGES Departmental Seminar 5 SAGES Capstone 5 - Breadth Requirements 6 12 Open Electives PHED 2 semesters 0 Total 126

12 12 Department of Physics The MP group of four courses corresponds to two physics courses and two mathematics courses. The physics courses are chosen from PHYS 250 Computational Methods in Physics, PHYS 9 Methods of Mathematical Physics I, and PHYS 50 Methods of Mathematical Physics II. The mathematics courses are subject to approval by the MP committee and are hence referred to as approved electives. They may be chosen from the general list of mathematics courses at the 00 level or higher. It may also be possible to choose a course outside the mathematics and physics departments as a substitute in the MP group, subject to approval by the committee. Other science sequence courses may be substituted if approved by the mathematics and physics (MP) committee. Or other approved computational course An advanced physics course to be selected from the following list: PHYS 15 Introduction to Solid State Physics, PHYS 16 Introduction to Nuclear and Particle Physics, PHYS 20 Introduction to Biological Physics, PHYS 26 Physical Optics,PHYS 27 Laser Physics, PHYS 28 Cosmology and the Structure of the Universe, PHYS 6 Modern Cosmology, PHYS 65 General Relativity. Students are encouraged to take either the Math or Physics SAGES departmental seminar and capstone courses but should then take both courses from the same department. The physics departmental seminar consists of 1 credit of PHYS 0 Advanced Laboratory Physics Seminar +PHYS 52 Senior Physics Project Seminar. The breadth requirements include 6 hours of Social Sciences and 6 hours of Arts and Humanities. This may increase by credits if the required Global and Cultural Diversity course is not also one of the breadth requirement courses. Courses required for the BS in mathematics and physics satisfy the 6-credit GER for Natural Sciences and Mathematics as well as the Quantitative Reasoning course requirement. The number of open electives may vary as determined by the degree requirement that the total number of credits be at least 126. Typical Schedule First Year General Physics I - Mechanics (PHYS 121) or Physics and Frontiers I - Mechanics (PHYS 12) Engineering I (MATH 121) Principles of Chemistry I (CHEM 105) or Principles of Chemistry for Engineers (CHEM 111) Physics Today and Tomorrow (PHYS 166) 1 SAGES First Seminar General Physics II - Electricity and (PHYS 122) or Physics and Frontiers II - Electricity and (PHYS 12) - Engineering II (MATH 122) Principles of Chemistry II (CHEM 106) or Chemistry of Materials (ENGR 15) Elementary Computer Programming (ENGR 11) University Seminar - Year Total: Second Year Introduction to Modern Physics (PHYS 221) Engineering III (MATH 22) or Calculus III (MATH 227) Linear Algebra (MATH 07) University Seminar Humanities/Social Science Elective Open Elective 2 Classical Mechanics (PHYS 10) Elementary Differential Equations (MATH 22) Introduction to Abstract Algebra (MATH 08) MATH/PHYS Elective Humanities/Social Science Elective Year Total: Third Year Thermodynamics and Statistical Mechanics (PHYS 1) Introduction to Quantum Mechanics I (PHYS 1) or Quantum Mechanics I (PHYS 81) Fundamentals of Analysis I (MATH 21) MATH/PHYS Elective Humanities/Social Science Elective Open Elective SAGES Departmental Seminar Introduction to Quantum Mechanics II (PHYS 2) or Quantum Mechanics II (PHYS 82) Fundamentals of Analysis II (MATH 22) Introduction to Complex Analysis (MATH 2) Global and Cultural Diversity Elective Year Total: Fourth Year SAGES Capstone Physics Elective Classical Electromagnetism (PHYS 2) MATH/PHYS Elective Open Elective Graduate Physics Laboratory (PHYS 72) MATH/PHYS Elective Open Elective Open Elective -1 Year Total: Total in Sequence: 126

13 Department of Physics 1 Department Faculty Kathleen Kash, PhD (Massachusetts Institute of Technology) Professor and Chair Experimental condensed matter and mesoscopic physics; synthesis and characterization of novel nitride semiconductors Jesse Berezovsky, PhD (University of California, Santa Barbara) Associate Professor Imaging coherent transport in mesoscopic graphene; optical readout of single spin dynamics in a quantum dot; spin dynamics in layered core/ shell nanocrystal quantum dots; measurements of nuclear and electron spin at a ferromagnetic/semiconductor interface; spatio-temporal imaging and simulation of magnetization dynamics in ferromagnetic structures Robert W. Brown, PhD (Massachusetts Institute of Technology) Distinguished University Professor and Institute Professor Medical imaging; industrial physics; particle physics theory; cosmology Edward M. Caner, MS Instructor Science entrepreneurship Gary S. Chottiner, PhD (University of Maryland) Professor, Director of Undergraduate Studies Experimental physics of surfaces and thin films Craig J. Copi, PhD (University of Chicago) Senior Instructor Theoretical cosmology; particle physics; astrophysics Corbin E. Covault, PhD (Harvard University) Professor Experimental high-energy astrophysics Diana I. Driscoll, PhD Instructor Introductory physics Pavel Fileviez Perez, PhD (Max Planck Institute for Physics) Assistant Professor Particle and astro-particle physics Xuan Gao, PhD (Columbia University) Associate Professor Experimental condensed matter physics; nanomaterials; electron transport in nanostructures; correlated electrons in low dimensions Michael Hinczewski, PhD (Massachusetts Institute of Technology) Assistant Professor Theoretical biophysics Kurt Hinterbichler, PhD (Columbia University) Warren E. Rupp Assistant Professor Theoretical particle physics; astrophysics; cosmology Peter J. Kernan, PhD (Ohio State University) Instructor Cosmology; astrophysics Walter R. Lambrecht, PhD (University of Ghent) Professor Theoretical condensed matter physics; electronic structure-based physics of materials Michael A. Martens, PhD Professor Medical imaging physics, high energy particle physics, accelerator physics Harsh Mathur, PhD (Yale University) Professor Condensed matter theory, particle-astrophysics theory Benjamin Monreal, PhD (Massachusetts Institute of Technology) Agnar Pytte Professor in Physics; Associate Professor Experimental particle astrophysics Rolfe G. Petschek, PhD (Harvard University) Professor Theoretical condensed matter; optical materials Charles Rosenblatt, PhD (Harvard University) Professor and Ohio Eminent Scholar in Condensed Matter Physics Experimental condensed matter; liquid crystals and complex fluids John E. Ruhl, PhD (Princeton University) Connecticut Professor Experimental astrophysics and cosmology Kenneth D. Singer, PhD (University of Pennsylvania) Ambrose Swasey Professor of Physics; Director, Engineering Physics Experimental condensed matter physics; nonlinear optics Glenn D. Starkman, PhD (Stanford University) Distinguished University Professor; Director, Institute for the Science of Origins; Director, Center for Education and Research in Cosmology and Astrophysics (CERCA) Theoretical cosmology, particle physics, astrophysics Giuseppe Strangi, PhD (University of Calabria, Italy) Professor and The Ohio Research Scholar in Surfaces of Advanced Materials Opto-plasmonics of soft composite metamaterials; liquid crystal photonics