Veale Center
Phone 216-368-2867; Fax 216-368-5475
David M. Hutter, Chair

The Department of Physical Education offers the student a variety of opportunities from challenging academic classes to vigorous recreational activities.

David M. Hutter, Ph.D. (The Ohio State University)
Professor and Chair
Athletic Director

Jennie Amodio, B.A. (Ohio University)
Instructor
Softball Coach

Todd Clark, B.A. (Kenyon College)
Instructor
Men and women’s swim coach

Robert Del Rosa, M.A. (Western Reserve College)
Associate Professor
Wrestling coach; assistant director of athletics

Emily Donovan, B.A. (Kenyon College)
Instructor
Women’s Soccer Coach

Gerald Harbak, M.S. (Western Reserve University)
Assistant Professor
Soccer coach; golf coach

Dennis Harris, B.S. (The Ohio State University)
Instructor
Men’s track and field coach; assistant football coach

Kristin Hughes, M.S. (Smith College)
Instructor
Women’s basketball coach, Assistant Athletic Director

Adam Hutchinson, M.S. (University of Massachusetts at Amherst)
Instructor
Men’s Basketball Coach

Patrick Kennedy, M.S. (University of Maryland)
Assistant Professor
Associate Athletic Director
Director of intramurals, coordinator of club sports and coordinator of facilities

Kathy Lanese, B.S. (Ohio University)
Instructor
Women’s Track and Field Coach
Men’s & Women’s Cross Country Coach

Barb Moore, M.S. (West Virginia University)
Instructor
Head Athletic Trainer

Mina Moore, B.S. (Wayne State University)
Instructor
Associate director, intramurals

Joe Perella, B.S. (John Carroll University)
Instructor
Head Football Coach

Nancy Rahn, M.S. (West Chester University)
Instructor
Tennis coach, Coordinator of Physical Education

Jerry Seimon, B.S. (Kent State University)
Instructor
Baseball; assistant football coach

Jeff Tomaszewski, B.A. (Case Western Reserve University)
Instructor
Assistant Athletic Trainer

The purpose of the sports medicine minor is to expose students to the theory and practical aspects of prevention, recognition, and treatment of athletic injuries.

Required: PHED 332, 334, 339, 340, 341, 342

The department has designed an instructional program of modern activities and lifetime sports. Each semester 15 to 25 coeducational lifetime sports classes are offered. Freshmen, who have a one-year physical education requirement, have first priority in electing PHED 010 to 199. Others who have completed the requirement may audit classes.

A number of popular advanced lifetime sports activities are also offered for one hour of academic credit. Advanced skills, strategy, and coaching are taught (PHED 200 to 299).

The intramural program provides a continuous schedule of activities throughout the year. Individual and team sports are available to students in several divisions: residence hall, fraternity, women, coed, graduate, and open. Intercollegiate varsity athletic competition is available in 12 sports for men and 10 sports for women.

PHED 119. Skin and Scuba Diving (0)
Prereq: Advanced swimming skills.

PHED 120. Skin and Scuba Diving - Advanced (0)
Prereq: Skin and Scuba Certification.

PHED 127. Water Safety Instructors (0)
Prereq: Emergency Water Safety or Lifeguarding Certificate.

PHED 128. Weight Training I (0)
Prereq: Consent of instructor.

PHED 129. Life Guarding (0)
Prereq: Advanced swimming skills.

PHED 210. Skin and Scuba Diving (1)
Prereq: Advanced swimming skills.

PHED 211. Skin and Scuba Diving - Advanced (1)
Prereq: Skin and Scuba Certification.

PHED 215. Water Safety Instructors (1)
Prereq: Emergency Water Safety or Lifeguarding Certificate.

PHED 216. Weight Training II (1)
Prereq: PHED 128 or PHED 034.

PHED 217. Life Guarding (1)
Advanced physical education activities. Advanced instruction in sports, limited to upperclassmen. This course may lead to certification in lifeguarding. Prereq: Advanced swimming skills.

PHED 219. Weight Training III (1)
Prereq: PHED 216.

PHED 320. Psychology of Sport (2)
The major psychological dimension underlying an individual’s participation in sport. Selected areas that influence the acquisition of physical skill and performance in sports.

PHED 325. Officiating Basketball (2)
Administrative procedures, promotion, managerial relationships, scheduling, tournaments, budgeting, scoring systems, and officiating.

PHED 332. Care and Prevention of Athletic Injuries (3)
Designed as introduction to field of athletic training. Students become acquainted with various responsibilities of athletic trainers. Helps students better understand injury prevention and basis foundations of sports trauma. Study includes injury evaluation and treatment of the foot, ankle, knee, and lower leg.

PHED 334. Advanced Athletic Training I (3)
Introduces students to sports medicine management, including emergency procedures and general assessment skills. Principles underlying therapeutic modalities and exercise rehabilitation are discussed. Injury evaluation and treatment for the abdomen, shoulder, forearm, wrist, and hand are included. Prereq: PHED 332 and PHED 340.

PHED 337. Perspectives in Sex (3)
The many facts of human sexuality; incorporating this information into an effective healthy program of living.

PHED 339. Advanced Athletic Training II (3)
Concentrates on rehabilitation and modality application. Special topics such as drugs, nutrition, health conditions related to sports and gender issues are covered. Care and management of head, spinal, thoracic, and hip injuries included. Students participate in physical therapy clinic. Prereq: PHED 332 and PHED 340 and PHED 334.

PHED 340. Human Anatomy (3)
The purpose of this course is to instruct the student in basic anatomy. Joint and muscle action as it relates to performance is covered.

PHED 341. Physiology of Exercise (3)
Exercise physiology is an aspect of sports medicine that involves the study of how the body, from a functional standpoint, responds and adjusts to exercise. The study of exercise physiology is based on factual information derived primarily from experimental research. Laboratory work is an integral part of this course. Prereq: PHED 340.

PHED 342. Biomechanics (3)
The purpose of this course is to give the students an understanding of biomechanics. This course will help students better understand why specific mechanisms result in specific injuries. Topics include strength vs. power, dynamics, closed kinetic chain, open kinetic chain, and biomechanical analysis of specific joints. Prereq: PHED 340.

PHED 357. Principles of Coaching (2)
Designed to provide methods and techniques for coaching sport. Topics include teaching skill, motivating participants, training, conditioning, practice organization, budget, equipment, and facility management, and psychological, sociological and philosophical implications.

203 Clark Hall
Phone 216-368-2810; Fax 216-368-0814
Colin McLarty, Chair

The major program in philosophy, besides offering a solid foundation for advanced study in philosophy and enriching programs in other disciplines, develops the skills for analytical and critical thinking, effective communication and rational decision needed in a wide range of endeavors.

The program thus provides majors with unusual flexibility in the choice of subsequent careers, including law, medicine, and management while complementing the pursuit of career objectives with a greater perspective and a richer quality of intellectual life.

The department participates in an interdisciplinary major program in the history and philosophy of science and technology leading to the Bachelor of Arts degree in collaboration with the Department of History. The department also participates in, and contributes courses to, the interdisciplinary minor in artificial intelligence.

Colin McLarty, Ph.D. (Case Western Reserve University)
Associate Professor and Chair
Logic; philosophy of logic; philosophy of mathematics; philosophy of science; contemporary French philosophy

Laura E. Hengehold Ph.D. (Loyola University)
Assistant Professor
Political and social philosophy; philosophy of law; philosophy of feminism; Hegel; contemporary continental philosophy

Chin-Tai Kim, Ph.D. (Harvard University)
Professor
History of philosophy (17th-, 18th-, and 19th-century philosophy); theory of knowledge, metaphysics; ethics; phenomenology

Caroline A. Whitbeck, Ph.D. (Massachusetts Institute of Technology)
The Elmer G. Beamer-Hubert H. Schneider Professor of Ethics
Ethics; practical ethics; professional ethics

Joel Levin, Ph.D (University of Oxford)
Adjunct Associate Professor of Philosophy
Adjunct Professor of Law

Stephen Post, Ph.D. (University of Chicago)
Associate Professor of Biomedical Ethics
Biomedical ethics; applied ethics

The major consists of 30 hours (ten 3-credit courses) in philosophy, including PHIL 101, 201, 301, 302, and six other courses to be determined in consultation with the department’s undergraduate advisor. However, a student may request of the advisor that up to 6 hours (two 3-credit courses) of the required 18 hours in six 3-credit philosophy electives be taken in another field or other fields. Such a request should be supported by considerations showing how the substitution(s) would strengthen the student’s major in philosophy. The advisor must approve the substitution(s) in advance.

The department offers a range of possible minor programs, each of which must include PHIL 101 and four other courses in philosophy at the 200- or 300-level (excluding PHIL 390 and 399) chosen to meet the specific needs of students majoring in other fields. The undergraduate advisor will assist students in devising minor programs.

All sequences must include PHIL 101 and two other philosophy courses at the 200- or 300-levels (excluding PHIL 390 and 399) as approved by the undergraduate advisor. A typical sequence, for example, will consist of PHIL 101 and two courses from one of the following groups:

Logic and Scientific Methodology
PHIL 201, Introduction to Logic (3)

PHIL 203, Natural Philosophy I (3)

PHIL 204, Natural Philosophy II (3)

PHIL 303, Evolution, Creation and Science (3)

PHIL 309 Philosophical Issues in Genetics (3)

Logic, Formal Systems, and Philosophy of Mathematics
PHIL 201, Introduction to Logic (3)

PHIL 306, Mathematical Logic (3)

PHIL 313, Philosophy of Mathematics (3)

Value Theory
PHIL 102 Ethics- An Interdisciplinary Introduction

PHIL 305, Ethics (3)

PHIL 205, Contemporary Moral Problems (3)

PHIL 304, Science and Engineering Ethics

PHIL 325, Philosophy of Feminism (3)

PHIL 334, Political and Social Philosophy (3)

PHIL 335, Philosophy of Law (3)

Language, Mind and Cognition
PHIL 201, Introduction to Logic (3)

PHIL 345, Epistemology and Metaphysics (3)

PHIL 365, Philosophy of Mind (3)

PHIL 385, Philosophy of Language (3)

Philosophy and Culture
PHIL 225, Evolution

PHIL 301, Ancient Philosophy (3)

PHIL 320, Phenomenology, Existentialism, and Hermeneutics (3)

PHIL 333 Philosophy of Religion

PHIL 345, Epistemology and Metaphysics (3)

PHIL 355, Nineteenth and Twentieth-Century Philosophy (3)

PHIL 356, Comparative Philosophy (3)

PHIL 370, Philosophy and Literature (3)

There are other possible sequences.

Philosophy Courses for the General Education Requirement:
PHIL 201 may be used to satisfy the Mathematical Reasoning and Analysis requirement.

PHIL 101, with any one of the following courses, 204, 205, 302, 305, 334, 345, and 370, may be used to satisfy the sequence requirement in History, Philosophy and Religion.

PHIL 356, Comparative Philosophy may be used to satisfy the Global and Cultural Diversity requirement.

The department offers an Honors Program for students enrolled in its major program which involves completing a substantial thesis, passing an oral examination on the thesis, and maintaining a B average in philosophy courses taken while in the program. To be eligible for admission, a student should have an overall grade point average of B or better, and a grade of B or better in each philosophy course already taken. A student normally should have taken at least four, and at most seven, philosophy courses at the time of application for admission. An honors student should register for PHIL 399, Directed Study (3), to do honors work. An interested student should apply for admission to the program during the first semester of junior year.

PHIL 101. Introduction to Philosophy (3)
Basic problems of philosophy and methods of philosophical thinking. Problems raised by science, morality, religion, politics, and art. Readings from classical and contemporary philosophers. Normally given in multiple sections with different instructors and possibly with different texts. All sections share core materials in theory of knowledge, metaphysics, and ethics despite differences that may exist in emphasis.

PHIL 102. Ethics, An Interdisciplinary Introduction (3)
This course will introduce methods and literature of several disciplines, including philosophy, that bear on contemporary ethical issues. The goal is to prepare students for a lifetime of ethical reflection, discussion, and problem-solving, as well as more advanced study in the disciplines introduced by enhancing their understanding of ethical concepts and moral reasoning. Topics include lying, moral responsibility, and power, specifically rights and responsibilities of citizens, students, teachers, engineers, health care providers, and accountants.

PHIL 201. Introduction to Logic (3)
Presentation, application, and evaluation of formal methods for determining the validity of arguments. Discussion of the relationship between logic and other disciplines.

PHIL 203. Natural Philosophy I (3)
Historical and philosophical interpretation of some epochal events in development of science. Copernican revolution, Newtonian mechanics, Einstein’s relativity physics, quantum mechanics, and evolutionary theory; patterns of scientific growth; structure of scientific "revolutions;" science and "pseudo-science." First half of a year-long sequence. Cross-listed as HSTY 203.

PHIL 204. Natural Philosophy II (3)
Conceptual, methodological, and epistemological issues about science: concept formation, explanation, prediction, confirmation, theory construction and status of unobservables; metaphysical presuppositions and implications of science; semantics of scientific language; illustrations from special sciences. Second half of a year-long sequence. Cross-listed as HSTY 207.

PHIL 205. Contemporary Moral Problems (3)
Examination of selected contemporary moral problems and contemporary faces of perennial moral problems such as: when, if ever, lying is justified; the value of honesty and of confidentiality; under what circumstances, if any, various types of killing (suicide, execution, in war, euthanasia, killing of lower animals or ecosystems) are justified. Additional moral problems raised by new knowledge (such as genetic information) or new technology (such as rights to digital information, or the ability to), and responsible uses of these and other sources of power. Clarification of the concepts of value, ethical evaluation and justification, ethical argument, moral relevance, and the notion of a moral problem itself. Readings will draw on classical and contemporary sources in philosophy.

PHIL 225. Evolution (3)
Multidisciplinary study of the course and processes of organic evolution provides a broad understanding of the evolution of structural and functional diversity, the relationships among organisms and their environments, and the phylogenetic relationships among major groups of organisms. Topics include the genetic basis of micro- and macro-evolutionary change, the concept of adaptation, natural selection, population dynamics, theories of species formation, principles of phylogenetic inference, biogeography, evolutionary rates, evolutionary convergence, homology, Darwinian medicine, and conceptual and philosophic issues in evolutionary theory. Cross-listed as ANTH 225, BIOL 225, GEOL 225, and HSTY 225.

PHIL 270. Introduction to Gender Studies (3)
This course introduces women and men students to the methods and concepts of gender studies, women’s studies, and feminist theory. An interdisciplinary course, it covers approaches used in literary criticism, history, philosophy, political science, sociology, anthropology, psychology, film studies, cultural studies, and art history. It is the required introductory course for students taking the women’s studies major. Cross-listed as WMST 201.

PHIL 271. Bioethics: Dilemmas in Research and Clinical Practice (3)
(See BETH 271.) Cross-listed as BETH 271.

PHIL 301. Ancient Philosophy (3)
Western philosophy from the early Greeks to the Skeptics. Emphasis on the pre-Socratics, Plato, and Aristotle. Prereq: PHIL 101. Cross-listed as CLSC 301.

PHIL 302. Modern Philosophy (3)
British empiricism: Bacon, Hobbes, Locke, Berkeley, and Hume. Continental rationalism: Descartes, Spinoza, and Liebniz. The critical philosophy of Kant. Prereq: PHIL 101.

PHIL 303. Topics in Philosophy of Science (3)
In-depth study of selected topics in general philosophy of science or philosophy of physical, biological, or social science. Topics may include: theories of explanation, prediction, and confirmation; semantics of scientific language; reductionism; space, time and relativity; philosophical issues about quantum mechanics; philosophical issues about life sciences (e.g., evolution, teleology, and functional explanation); explanation and understanding in social sciences; value in social science. Prereq: PHIL 101 or PHIL 201 or PHIL 203.

PHIL 304. Science and Engineering Ethics (3)
This course prepares students to recognize ethical problems that commonly arise in the scientific and engineering workplace, to understand ethical concepts, to evaluate ethical arguments, and to critically examine responses to problems and their ethical ramifications. It addresses questions such as: What are the criteria of fairness in crediting contributions to research? How safe is safe enough? What are professional responsibilities, and how do they change over time? What is research misconduct? When is ignorance culpable? What is intellectual property and what protections does it deserve? When is biological testing of workers justified? What are responsible ways of raising concerns, and what supports do good organizations give for raising them? What treatment counts as harassment or as an expression of prejudice? What are good means for controlling it? What are scientists’ and engineers’ responsibilities for environmental protection? What is a "conflict of interest" and how is it controlled? What protections for human research subjects are warranted? What, if any, use of animals in research is justified? Prereq: PHIL 101 or PHIL 205.

PHIL 305. Ethics (3)
Analysis of ethical theories and concepts of goodness, right, and obligation. Discussion of nature of justice, problem of justification of moral principles, and relation between facts and values. Prereq: PHIL 101.

PHIL 306. Mathematical Logic and Model Theory (3)
Propositional calculus and quantification theory; consistency and completeness theorems; goedal incompleteness results and their philosophical significance; introduction to basic concepts of model theory; problems of formulation of arguments in philosophy and the sciences.

PHIL 309. Philosophical Issues in Genetics (3)
A philosophical examination of the history and cultural connections of the science of genetics and its precursors. Genetics is a phenomenon of the twentieth century. Thus, it is new. Yet, its implications and dilemmas are enmeshed in old traditions and stereotypes, and the dynamics of cultural change. To explore the breadth of philosophical repercussions of genetics, this course will draw on science, technology, medicine, and their histories, but will also range wider to include aspects of the social history of racism and class relations, changing attitudes toward sexuality, the intricacies of big business and international cooperation, and other such diverse areas. Prereq: PHIL 101 or PHIL 203 or PHIL 204.

PHIL 313. Philosophy of Mathematics (3)
Logical paradoxes and their effects on foundations of mathematics. Status of mathematical entities and nature of mathematical truths. Formalist, logicist, and intuitionist positions. Prereq: PHIL 101 or PHIL 201.

PHIL 315. Selected Topics in Philosophy (3)
Examination of views of a major philosopher or philosophical school, a significant philosophical topic, or a topic that relates to philosophy and other discipline. Prereq: PHIL 101.

PHIL 320. The Phenomenological Tradition (3)
The background of phenomenology: Descartes, Kant, and Brentano. The epistemological rationale of Husserl’s phenomenology and its ontological implications; the powers and limits of the phenomenological method. Heidegger’s transformation of phenomenology to interpretive ontology of human existence. The development of interpretation theory as the foundation of all human existence. The development of interpretation theory as the foundation of all human sciences in Gadamer and Ricoeur. Prereq: PHIL 101 or consent.

PHIL 325. Philosophy of Feminism (3)
Dimensions of gender difference. Definition of feminism. Critical examination of feminist critiques of culture, including especially politics, ideology, epistemology, ethics, and psychology. Readings from traditional and contemporary sources. Prereq: PHIL 101.

PHIL 330. Topics in Ethics (3)
Examination of views in ethics of a major philosopher or philosophical school, a significant philosophical topic in ethics, or a topic that relates ethics to philosophy and another discipline. Prereq: PHIL 205 or PHIL 101.

PHIL 333. Philosophy of Religion (3)
Topics include: classical and contemporary arguments for God’s existence; divine foreknowledge and human freedom; the problem of evil and theodicy; nature and significance of religious experience; mysticism; varieties of religious metaphysics; knowledge, belief and faith; nature of religious discourse. Readings from traditional and contemporary sources. Prereq: PHIL 101. Cross-listed as RLGN 333.

PHIL 334. Political and Social Philosophy (3)
Justification of social institutions, primarily political ones. Such distinctions as that between de facto and legitimate authority; analysis of criteria for evaluation, such as social justice and equality; inquiry into theories of justification of the state; theory of democratic government and its alternatives. Readings from classical and contemporary sources. Prereq: PHIL 101. Cross-listed as POSC 354.

PHIL 335. Philosophy of Law (3)
Nature of law and legal systems; bearing of moral justice on legal validity; nature and justification of criminal law and punishment; nature of legal rules and of obligations to law in legal systems; logic of legal reasoning; distinctions of concepts such as legal responsibility and causation. Reading from classical and contemporary sources. Prereq: PHIL 101. Cross-listed as LAWS 353.

PHIL 345. Epistemology and Metaphysics (3)
Traditional problems of epistemology, such as definition of knowledge, justification of belief, nature of evidence and foundationalism, skepticism, the a priori, and the role of sense perception in knowledge. Metaphysical presuppositions and implications of epistemological views. Forms of realism and anti-realism. Prereq: PHIL 101.

PHIL 355. 19th and Early 20th Century Philosophy (3)
History of philosophy after Kant up to and including logical empiricism. Interpretation and comparison of important philosophers and philosophical schools of the period in terms of common methods, problems, themes, doctrines, and ideologies. Emphasis on Schopenhauer, Hegel, Kierkegaard, Marx, and Nietzsche. Prereq: PHIL 101.

PHIL 356. Comparative Philosophy (3)
Comparison of significant philosophers or philosophical schools of non-Western traditions with Western counterparts on metaphysical, epistemological, ethical, aesthetic, and sociopolitical theoretic issues. The non-Western traditions to be considered include the Indian and the Far Eastern, but not exclusively. Discussion, in context, of the problems of comparative hermeneutics. Readings will include original sources in English translation. Prereq: PHIL 101.

PHIL 365. Philosophy of Mind (3)
Traditional problems such as the relation of mind and body, knowledge of other minds, free will and determination, and nature of psychological explanation. Analysis of chief theories of mind. Analysis of mental concepts such as intention, action, decision, emotion, and will. Prereq: PHIL 101.

PHIL 370. Philosophy and Literature (3)
Affinities and tensions between philosophy and literature and issues that arise in their interface. Topics include: philosophical use of literary devices; literary use of philosophical ideas; literary philosophy and philosophical literature; and hermeneutics of literature and philosophy. Readings in philosophy and literature from both traditional and contemporary sources. Team-taught by faculty of the philosophy and literature departments. Prereq: PHIL 101. Cross-listed as CMPL 371.

PHIL 394. Seminar in Evolutionary Biology (3)
This seminar investigates 20th-century evolutionary theory, especially the Modern Evolutionary synthesis and subsequent expansions of and challenges to that synthesis. The course encompasses the multidisciplinary nature of the science of evolution, demonstrating how disciplinary background influences practitioners’ conceptualizations of pattern and process. This course emphasizes practical writing and research skills, including formulation of testable theses, grant proposal techniques, and the implementation of original research using the facilities on campus and at the Cleveland Museum of Natural History. Cross-listed as ANTH 394, BIOL 394, GEOL 394, and HSTY 394.

PHIL 399. Directed Study (3)
Open to students in either of the major programs and to minors.

PHIL 403. Topics in Philosophy of Science (3)
(See PHIL 303.)

PHIL 404. Science and Engineering Ethics (3)
(See PHIL 304.)

PHIL 405. Ethics (3)
(See PHIL 305.)

PHIL 406. Mathematical Logic and Model Theory (3)
A study of formal logical systems and their models. Propositional logic and quantification. First order theories; consistency, compactness, and the Lowenheim Skolem theorem. Cross-listed as MATH 406.

PHIL 409. Philosophical Issues in Genetics (3)
(See PHIL 309.)

PHIL 413. Philosophy of Mathematics (3)
(See PHIL 313.)

PHIL 415. Selected Topics In Philosophy (3)
(See PHIL 315.)

PHIL 420. The Phenomenological Tradition (3)
(See PHIL 320.) Prereq: Graduate standing or consent.

PHIL 425. Philosophy of Feminism (3)
(See PHIL 325.) Prereq: PHIL 101.

PHIL 430. Topics in Ethics (3)
(See PHIL 330.)

PHIL 433. Philosophy of Religion (3)
(See PHIL 333.) Prereq: PHIL 101. Cross-listed as RLGN 433.

PHIL 434. Political and Social Philosophy (3)
(See PHIL 334.) Cross-listed as POSC 454.

PHIL 435. Philosophy of Law (3)
(See PHIL 335.) Prereq: PHIL 101.

PHIL 445. Epistemology and Metaphysics (3)
(See PHIL 345.)

PHIL 455. 19th and Early 20th Century Philosophy (3)
(See PHIL 355.)

PHIL 456. Comparative Philosophy (3)
(See PHIL 356.) Prereq: PHIL 101.

PHIL 465. Philosophy of Mind (3)
(See PHIL 365.)

PHIL 470. Philosophy and Literature (3)
(See PHIL 370.)

PHIL 494. Seminar in Evolutionary Biology (3)
(See PHIL 394.) Cross-listed as ANTH 494, BIOL 494, GEOL 494, and HSTY 494.

PHIL 700. Advanced Tutorial and Dissertation (1-18)
For Ph.D. candidates in fields related to philosophy.

Rockefeller Building
Phone 216-368-4000; 800-368-PHYS (7497)
Fax 216-368-4671
Lawrence M. Krauss, Chair

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. It also offers the graduate degrees, Master of Science and Doctor of Philosophy. 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 can thus 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 individual student’s interests and career plans. Individualized programs are developed with the aid of an advisor. A similar flexibility exists in the first few years of graduate study. The research leading to the Ph.D. 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.

Lawrence M. Krauss, Ph.D. (Massachusetts Institute of Technology)
Ambrose Swasey Professor of Physics and Chair of the Department, Professor of Astronomy (lmk9@po.cwru.edu)
Theoretical physics, particle physics, astrophysics, cosmology.

Daniel Akerib, Ph.D. (Princeton University)
Associate Professor (dsa5@po.cwru.edu)
Experimental astrophysics

Robert W. Brown, Ph.D. (Massachusetts Institute of Technology)
Institute Professor (rwb@po.cwru.edu)
Particle physics theory, cosmology, medical imaging, industrial physics

Gary Chottiner, Ph.D. (University of Maryland)
Director of Undergraduate Studies, Professor (gsc2@po.cwru.edu)
Experimental physics of surfaces and thin films

Corbin E. Covault, Ph.D. (Harvard University)
Associate Professor
Experimental high energy astrophysics

David E. Farrell, Ph.D. (University of London)
Professor (def@po.cwru.edu)
Experimental condensed matter physics, superconductors, medical physics

Kathleen Kash, Ph.D. (Massachusetts Institute of Technology)
Professor (kxk43@po.cwru.edu)
Experimental condensed matter and mesoscopic physics, quantum semiconducting structures

Kenneth L. Kowalski, Ph.D. (Brown University)
Professor (klk3@po.cwru.edu)
Theoretical and experimental particle physics

Walter Lambrecht, Ph.D. (University of Ghent)
Professor (wxl2@po.cwru.edu)
Theoretical condensed matter physics; electronic structure based physics of materials

Harsh Mathur, Ph.D. (Yale University)
Associate Professor, (hxm7@po.cwru.edu)
Condensed matter theory

Rolfe G. Petschek, Ph.D. (Harvard University)
Professor (rgp@po.cwru.edu)
Theoretical condensed matter, optical materials

Charles Rosenblatt, Ph.D. (Harvard University)
Director of Graduate Studies, Professor (cxr@po.cwru.edu)
Experimental condensed matter, liquid crystals and complex fluids

John Ruhl, Ph.D. (Princeton University)
Professor (ruhl@erebus.phys.cwru.edu)
Experimental Astrophysics and Cosmology

Donald E. Schuele, Ph.D. (Case Institute of Technology)
Albert A. Michelson Professor of Physics (des3@po.cwru.edu)
Experimental condensed matter physics, properties of materials

Jie Shan, Ph.D. (Columbia University)
Warren E. Rupp Assistant Professor (jxs209@ po.cwru.edu)
Experimental condensed matter physics, ultrafast optics, terahertz spectroscopy

Kenneth D. Singer, Ph.D. (University of Pennsylvania)
Associate Chair, Professor (kds4@po.cwru.edu)
Experimental condensed matter physics, nonlinear optics

Glenn D. Starkman, Ph.D. (Stanford University)
Associate Professor (gds6@po.cwru.edu)
Theoretical cosmology, particle physics, astrophysics

Cyrus Taylor, Ph.D. (Massachusetts Institute of Technology)
Armington Professor (cct@po.cwru.edu)
Theoretical and experimental particle physics

Philip L. Taylor, Ph.D. (University of Cambridge)
Perkins Professor of Physics (plt@po.cwru.edu)
Theory of solids, polymers and other materials

Tanmay Vachaspati, Ph.D. (Tufts University)
Professor (txv7@po.cwru.edu)
Theoretical astrophysics, cosmology, particle physics

J. Iwan Alexander, Ph.D. (Washington State University)
Associate Professor of Mechanical and Aerospace Engineering (ida2@po.cwru.edu)

A. S. Beddar, Ph.D. (University of Wisconsin, Madison)
Assistant Professor, Clinical Medical Physicist, Ireland Cancer Center of University Hospitals of Cleveland (asb14@po.cwru.edu)

R. Earle Luck, Ph.D. (University of Texas at Austin)
Warner Professor of Astronomy (rel2@po.cwru.edu)
Stellar and galactic chemical evolution; stellar spectrophotometry

J. Christopher Mihos, Ph.D. (University of Michigan)
Associate Professor of Astronomy (jcm9@po.cwru.edu)

Maureen W. McEnery, Ph.D. (The Johns Hopkins University)
Assistant Professor, School of Medicine (mwm4@po.cwru.edu)
Molecular analysis of cellular processes; biophysical and biomedical imaging

Heather Morrison, Ph.D. (Australian National University)
Associate Professor of Astronomy (hlm5@po.cwru.edu)
Galactic structure; stellar populations; dark matter

Claudio H. Sibata, Ph.D. (University of Wisconsin - Madison)
Professor of Radiation Oncology
Dept. of Radiation Oncology, School of Medicine

Masood Tabib-Azar, Ph.D. (Rensselaer Polytechnic Institute)
Associate Professor of Electrical Engineering and Applied Physics (mxt7@po.cwru.edu)
Semiconductor device physics

Kirouki Fujita, Ph.D. (Case Western Reserve University)
Senior Research and Development Scientist, USA Instruments, Inc., (Aurora, OH)
RF instrumentation in imaging

E. Mark Haacke, Ph.D. (University of Toronto)
Professor, Wayne State University
Physics of imaging; experimental biophysics

Jingzhi Liu, Ph.D. (Case Western Reserve University)
Senior Staff Scientist, Cleveland Clinic Foundation
Functional imaging and biophysics

Andrey Petukhov, Ph.D. (St. Petersburg State Technical University)
Associate Professor of Physics, South Dakota School of Mines and Technology

Philip Phillips, Ph.D. (University of Washington)
Associate Professor of Physics, University of Illinois, Urbana
Condensed Matter Theory

Shmaryu Shvartsman, Ph.D. (Tomsk State University)
Senior Staff Scientist, Phillips Medical Systems (Cleveland, OH)
Magnetic field systems research and development

Michael Thompson, Ph.D. (Case Western Reserve University)
Senior Staff Scientist, Phillips Medical Systems (Cleveland, OH)
Signal processing

Paolo Gondolo, PhD (University of California, Los Angeles)
Visiting Assistant Professor of Physics (pxg26@po.cwru.edu)
Particle astrophysics

The Department of Physics offers Bachelor of Arts and Bachelor of Science degrees in Physics, as well as a Bachelor of Science in Mathematics and Physics. It also offers a Bachelor of Science in Engineering (B.S.E.) with a major in Engineering Physics. The B.A. and B.S. programs are traditional degrees offered by the College of Arts and Sciences. These liberal arts degrees carry the General Education Requirements of the College of Arts and Sciences. A variety of electives within and outside of the department are available in these programs to provide the breadth and flexibility that will considerably enhance the student’s opportunities at the best graduate schools and in industrial and government organizations.

The B.A. 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. The B.S. degree has two alternatives to the standard program: a Mathematical Physics Concentration and a Biophysics Concentration. The B.S.E. 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 B.S.E. or 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 15 specific engineering areas.

The B.S. in Mathematics and Physics degree is a single degree for students interested in both advanced mathematics and theoretical physics and their relationships. This degree is distinct from the Mathematical Physics Concentration in the B.S. in Physics degree. Students may be advised by either physics or mathematics faculty members. The student will complete a significant number of advanced mathematics courses and somewhat fewer experimental laboratory courses than in the B.S. in Physics program.

All B.S., B.A. and B.S.E. candidates complete a year-long senior project in which the student works one-on-one with a faculty researcher, writes a senior thesis and presents a short seminar on the project.

Employment opportunities at the bachelor’s level include research, development and technical assistance (engineering, computer programming and management) in industrial, government and university settings.

A program in teacher certification (grades 7 through 12), based on the BA degree, is available for students interested in a career in teaching physics at the secondary level.

Two options are available within the B.A. physics major for students to become eligible for licensure as teachers in secondary schools (Adolescents to Young Adults) qualified to teach physics or to teach physical sciences (both physics and chemistry.) Students interested in either option should contact Professor Gary Chottiner. In addition to content (subject area) requirements, a 35 semester hour sequence in professional education is required comprising courses taken at Case Western Reserve and at John Carroll University, culminating in student teaching. (See EDUCATION [EDUC & EDJC]).

PHYS 121 (or 115 or 123) and PHYS 122 (or 116 or 124) and PHYS 221

plus two or three* of the following courses;

PHYS 196, PHYS 204 or 208, PHYS 309, PHYS 310, PHYS 313, PHYS 315, PHYS 316, PHYS 326, PHYS 331, PHYS 332, PHYS 324, PHYS 328

The physics department offers programs of study and research leading to both the Master of Science and Doctor of Philosophy degrees. Graduate assistantships are available for the full-time support of qualified students. All M.S. programs in physics with or without a thesis normally can be completed in less than two years. The requirements for the Ph.D. degree in physics include a flexible program of courses that is typically completed within three years, and a concurrent program of directed research with less course work and more research in each succeeding year.

For the Ph.D. degree the student is required to pass a general qualifying examination in physics, which is normally taken after the first year of study, and a topical oral examination within one year of joining a research group. The student must then prepare a dissertation based on the results of independent research. There is no foreign language requirement. Research pursuant to any of the graduate degree programs in physics may be carried out in five areas:

In addition to a traditional physics program, the Department has created a Physics Entrepreneurship Master’s degree program. This unique two-year program is designed to empower physicists as entrepreneurs. It enables students and graduates to build on their physics skills to start new high-tech businesses or to launch new product lines in existing companies. The program provides top-level academic instruction and real-world entrepreneurial experience while connecting students with the business executives and leaders, experts, and venture capitalists who are crucial to success in start-up and growing ventures.

The Department of Physics maintains research laboratories in experimental and theoretical astrophysics and cosmology, elementary particle physics, low temperature physics, optics, condensed matter physics, surface physics, medical physics, and industrial physics.

In collaboration with the Center for Particle Astrophysics at Berkeley, the experimental particle-astrophysics group is leading a search to discover the identity of possible weakly interacting massive elementary particles that may make up the bulk of the matter in the universe. In collaboration with the NASA-Caltech Jet Propulsion Laboratory in Pasadena, the particle-astrophysics group is developing plans to launch a satellite to do ultra-high resolution and high contrast astronomical observations. In collaboration with researchers at the University of Chicago and McGill University, the particle-astrophysics group is also operating a new experiment for gamma-ray astronomy in the energy range from 20 to 500 GeV, called STACEE (Solar Tower Solar Cherenkov Effect Experiment) located at the National Solar Thermal Test Facility (NSTTF) at Sandia National Laboratories in Albuquerque, New Mexico. STACEE has been in preparation since 1998, and makes use of a large field of heliostat mirrors to detect gamma-rays from energetic astrophysical sources including pulsars, supernova remnants, and active galactic nuclei. Detector design and data analysis software and computing facilities are located in the department

The optics and optical materials group uses optical techniques to examine both the fundamental properties and potential technological applications of semiconductors, metals and insulators, polymers and liquid crystals, and fluids. Extensive facilities for linear, nonlinear, and light scattering studies are available, including gas ion, titanium sapphire, and ring dye lasers for continuous wave studies, a tunable picosecond and femtosecond pulsed laser system, and a tunable nanosecond laser system for nonlinear optical studies. Facilities also include video image acquisition and analysis, microscopy, holography, refractometry, ultrafast spectroscopy, and absorption and reflection spectroscopy. The optical materials center houses a full array of equipment, including photolithography for sample preparation.

Theoretical physics research utilizes a wide variety of computers, both on and off campus. The particle-astrophysics theory group maintains a UNIX cluster of RISC machines as well as clustered PCs with which it performs intensive numerical calculations in such areas as Big Bang nucleosynthesis, neutrino astrophysics, dark matter studies, stellar evolution, physics of the very early universe, and large-scale structure in the Universe. Molecular modeling and other simulations are performed on ultrafast workstations. The electronic structure group uses a cluster of high-speed UNIX workstations and links to the Ohio Supercomputer Center to perform computational physics of materials.

Well-equipped undergraduate and graduate laboratory facilities are provided. Experiments in the junior and senior years are selected from a large number of possibilities, with the general level of sophistication increasing as the student advances. All students participate in research as described above through the senior project.

The new Physics Entrepreneurship Master’s degree program will enable the students and graduates of the program to build on their physics skills to start new high-tech businesses or launch new product lines in existing companies, and then successfully grow these ventures. The purpose of this new degree track is to provide students having a background in physics and an interest in technological innovation with the training and experience needed to efficiently play leading roles in new high-tech ventures. While many physicists have traditionally pursued such career paths, this is the first physics program designed to prepare them for such a role.

PHYS 100. Space, Time, and Motion (3)
An introductory course in physics for students of the liberal arts. Discussion of how physics is performed, what important discoveries about natural phenomena have been made by physicists, and what are the most exciting questions being tackled by physicists today. Connections to current work appearing in various popular media will be made. In particular, emphasis is made on the connections between the fundamental discoveries that led to our understanding of motion and the light, and much of the ongoing research at the forefront of modern physics.

PHYS 101. Distinguishing Science from Pseudo-Science (3)
There are many current issues arising in popular discourse, ranging from the believability of ESP to reincarnation, to "free energy" machines, which can benefit from simple physical analyses. This course will provide an introduction to the use of basic principles of physics to explore the viability of these ideas. A seminar format will be utilized with specific topics presented by students and by the instructor. Prereq: PHYS 100, PHYS 115, PHYS 121, or PHYS 123.

PHYS 113. Principles of Physics Laboratory (2)
The laboratory portion of the first two semesters of introductory physics. (A two-semester course.) Prereq: Departmental permission.

PHYS 113A. Principles of Physics Laboratory - Mechanics (1)
The laboratory portion of first semester introductory physics. Prereq: Departmental permission.

PHYS 113B. Principles of Physics Laboratory - Electricity and Magnetism (1)
The laboratory portion of the second semester of physics. Prereq: Departmental permission.

PHYS 115. Introductory Physics I (4)
First part of a two-semester calculus-based sequence directed primarily towards students working towards a B.A. in science, with an emphasis on the life science. Kinematics; Newton’s laws; gravitation; simple harmonic motion; mechanical waves; fluids; ideal gas law; heat and the first and second laws of thermodynamics. This course has a laboratory component. Prereq: MATH 121, MATH 123, or MATH 125.

PHYS 116. Introductory Physics II (4)
Electrostatics, Coulomb’s law, Gauss’s law; capacitance and resistance; DC circuits; magnetic fields; electromagnetic induction; RC and RL circuits; light; geometrical optics; interference and diffraction; special relativity; introduction to quantum mechanics; elements of atomic, nuclear and particle physics. This course has a laboratory component. Prereq: PHYS 115.

PHYS 121. General Physics I. Mechanics (4)
Particle dynamics, Newton’s laws of motion, energy and momentum conservation, rotational motion, and angular momentum conservation. This course has a laboratory component. Prereq: MATH 121 or MATH 123 or MATH 125 or one year of high school calculus.

PHYS 122. General Physics II. Electricity and Magnetism (4)
Electricity and magnetism, emphasizing the basic electromagnetic laws of Gauss, Ampere, and Faraday. Maxwell’s equations and electromagnetic waves, interference, and diffraction. This course has a laboratory component. Prereq: PHYS 121 or PHYS 123. Coreq: MATH 122, MATH 124, or MATH 126.

PHYS 123. Physics and Frontiers I - Mechanics (4)
The Newtonian dynamics of a particle and of rigid bodies. Energy, momentum, and angular momentum conservation with applications. A selection of special frontier topics as time permits, including fractals and chaos, special relativity, fluid mechanics, cosmology, quantum mechanics. This course has a laboratory component. Admission to this course is by invitation only.

PHYS 124. Physics and Frontiers II - Electricity and Magnetism (4)
Time-independent and time-dependent electric and magnetic fields. The laws of Coulomb, Gauss, Ampere, and Faraday. Microscopic approach to dielectric and magnetic materials. Introduction to the usage of vector calculus; Maxwell’s equations in integral and differential form. The role of special relativity in electromagnetism. Electromagnetic radiation. This course has a laboratory component. Prereq: PHYS 123 or consent of department. Coreq: MATH 122 or MATH 124.

PHYS 196. Energy and Society (3)
Global and national perspectives on the problems of energy supply and demand, global warming, oil cartels, solar, nuclear and wind energy, energy history, politics and economics of fossil fuels, and alternative energy sources. Cross-listed as GEOL 196, HSTY 196, and POSC 196.

PHYS 203. Analog and Digital Electronics (4)
Elements of both analog and digital electronics from the practical viewpoint of the experimental scientist; AC circuits, linear and non-linear operation of op-amps, logic gates, flip-flops, counters, display, memory, transducers, A/D and D/A conversion. Laboratory work involves quantitative investigation of the operation of all these elements, together with projects that explore their combination. Prereq: PHYS 122 or PHYS 124.

PHYS 204. Advanced Instrumentation Laboratory (4)
Principles of experimental design; limits of resolution via band-width, thermal noise, background signals; data acquisition and control by computer; computer simulation; signal processing techniques in frequency and time domains, FFT, correlations, and other transform methods; counting techniques. Applications include lock-in amplifiers, digitizing oscilloscopes and data acquisition systems. Prereq: PHYS 203 and PHYS 221.

PHYS 208. Instrumentation and Signal Analysis Laboratory (4)
AC circuit theory, Fourier series, discrete Fourier series. Fourier integral, discrete Fourier integral; analysis in time and frequency domains, correlation, cross-correlation and other transform techniques; computer control of experiments via IEEE488 interface; advanced instrumentation; DMM, arbitrary waveform generator, multiplexing and digitizing oscilloscopes; experimental design, noise; design, construction, and testing of a lock-in amplifier. Prereq: PHYS 221 and ENGR 210.

PHYS 221. Introduction to Modern Physics (3)
Concepts in special relativity, statistical mechanics and quantum mechanics. Applications to atomic structure, and selected topics in nuclear, condensed matter physics, particle physics, and cosmology. Prereq: PHYS 116 or PHYS 122 or PHYS 124.

PHYS 250. Mathematics, Physics, and Computing (3)
Numerical methods, data analysis, and error analysis applied to physical problems. Use of personal computers in the solution of practical problems encountered in physics. Interpolation, roots of equations, integration, differential equations, Monte Carlo techniques, propagation of errors, maximum likelihood, convolution, Fourier transforms. Prereq: ENGR 131. Coreq: MATH 224.

PHYS 301. Advanced Laboratory Physics I (4)
Problem solving approach with a range of available experiments in classical and modern physics. Emphasis on experimental techniques, data and error analysis, and the formal presentation of the work performed. Prereq: PHYS 204.

PHYS 302. Advanced Laboratory Physics II (4)
Several projects using research-quality equipment in contemporary fields of experimental physics. Each requires reading appropriate literature, choosing appropriate instrumentation, performing data acquisition and analysis, and writing a technical paper. Topics include particle counting techniques, neutron activation, gamma-ray spectroscopy, a range of condensed matter experiments including temperature dependent properties between 10 and 350 K, modern optics, ultrahigh vacuum surface science. Prereq: PHYS 301.

PHYS 309. Selected Physics Experiments (4)
An introduction to analog electronics and experimental physics. The first few weeks focus on DC and AC circuits, including circuit elements and measurements including nonlinear elements and operational amplifiers. The remainder of the semester includes selected experiments from classical and modern physics with an emphasis on experimental techniques, data and error analysis and the formal presentation of work. Prereq: PHYS 116 or PHYS 122 or PHYS 124.

PHYS 310. Classical Mechanics (3)
Lagrangian formulation of mechanics and its application to central force motion, scattering theory, rigid body motion, and systems of many degrees of freedom. Prereq: PHYS 221 and either MATH 223 or MATH 227.

PHYS 313. Thermodynamics and Statistical Mechanics (3)
Thermodynamic laws, entropy, and phase transitions from the quantum mechanical viewpoint. Gibbs and Boltzmann factors. Ideal, degenerate fermion, degenerate boson, photon, and phonon gases. Correlation functions and transport phenomena. Applications ranging from solid state physics to astrophysics. Prereq: PHYS 221.

PHYS 315. Introduction to Solid State Physics (3)
Characterization and properties of solids; crystal structure, thermal properties of lattices, quantum statistics, electronic structure of metals and semiconductors. Prereq: PHYS 331.

PHYS 316. Introduction to Nuclear and Particle Physics (3)
The physics of nuclei and elementary particles; experimental methods used to determine their properties; models and theories developed to describe their structure. Prereq: PHYS 331.

PHYS 317. Engineering Physics Laboratory I (4)
Laboratory course for engineering physics majors. Emphasis is on experimental techniques, data and error analysis, and written and oral presentation of work. Four experiments drawn from classical and modern physics are carried out. These emphasize condensed matter, material and optical physics. Experiments include electric fields, resistivity of materials, optical interference, chaotic systems, and spectroscopy. Design of data analysis systems and software is required. Prereq: PHYS 208.

PHYS 318. Engineering Physics Laboratory II (4)
Laboratory course for engineering physics majors. Several projects using research-quality equipment in contemporary fields of experimental physics. Open-ended experiments each require reading appropriate literature, designing the experiment, performing data analysis, and writing a technical paper. Topics are drawn from areas of modern physics, and concentrate on condensed matter, material, and optical physics. Prereq: PHYS 317.

PHYS 324. Electricity and Magnetism I (3)
First half of a sequence that constitutes a detailed study of the basics of electromagnetic theory and many of its applications. Electrostatics and magnetostatics of free space, conductors, dielectric and magnetic materials; basic theory illustrated with applications drawn from condensed matter physics, optics, plasma physics, and physical electronics. Prereq: PHYS 116 or PHYS 122 or PHYS 124.

PHYS 325. Electricity and Magnetism II (3)
(Continuation of PHYS 324.) Electrodynamics, Maxwell’s equations, electromagnetic waves, electromagnetic radiation and its interaction with matter, potential formulation of electromagnetism, and relativity. Prereq: PHYS 324.

PHYS 326. Physical Optics (3)
Geometrical optics and ray tracing, wave propagation, interaction of electromagnetic radiation with matter, interference, diffraction, and coherence. Supplementary current topics from modern optics such as nonlinear optics, holography, optical trapping and optical computing. Prerequisite(s) may be waived with consent of department. Prereq: PHYS 122 or PHYS 124.

PHYS 328. Cosmology and the Structure of the Universe (3)
(See ASTR 328.) Cross-listed as ASTR 328.

PHYS 329. Independent Study (1-4)
An individual reading course in any topic of mutual interest to the student and the faculty supervisor.

PHYS 331. Introduction to Quantum Mechanics I (3)
Quantum nature of energy and angular momentum, wave nature of matter, Schroedinger equation in one and three dimensions; matrix methods; Dirac notation; quantum mechanical scattering. Two particle wave functions. Prereq: PHYS 221.

PHYS 332. Introduction to Quantum Mechanics II (3)
Continuation of PHYS 331. Spin and fine structure; Dirac equation; symmetries; approximation methods; atomic and molecular spectra; time dependent perturbations; quantum statistics; applications to electrons in metals and liquid helium. Prereq: PHYS 331.

PHYS 339. Seminar (1-3)
Conducted in small sections with presentation of papers by students and informal discussion. Special problem seminars and research seminars offered according to interest and need, often in conjunction with one or more research groups. Prereq: Consent of department.

PHYS 340. Teaching Electricity (2)
This lab-based course is directed at in-service and prospective teachers of science in the middle and high schools. The course content will cover the basics of electricity (current, voltage, power, energy, Kirchhoff’s laws and their relation to the laws of conservation of charge and energy, Ohm’s law). Some elements of magnetism will also be introduced, time-permitting. The sessions will be hands-on and activity-based. The sessions will also model and discuss teaching pedagogy such as cooperative learning, interactive lectures, learning styles, constructivism and inquiry-learning. The technology used will involve simple and cheap equipment that can be easily replicated in classrooms. Evaluation will be based on attendance, participation, pre- and post-tests, and journals.

PHYS 349. Methods of Mathematical Physics I (3)
Analysis of complex functions: singularities, residues, contour integration; evaluation and approximation of sums and integrals; exact and approximate solution of ordinary differential equations; transform calculus; Sturm-Liouville theory; calculus of variations. Prereq: MATH 224.

PHYS 350. Methods of Mathematical Physics II (3)
(Continuation of PHYS 349.) Special functions, orthogonal polynomials, partial differential equations, linear operators, group theory, tensors, selected specials topics. Prereq: PHYS 349.

PHYS 351. Physics Senior Project (3)
A two-semester course required for senior physics majors. Project based on experimental, theoretical, or teaching research under the supervision of a physics faculty member, possibly jointly with a faculty member from another department. Study of the techniques currently utilized in a specific research area and of the recent literature associated with the project. Experimental or theoretical work leading to meaningful results which are to be presented as a term paper and an oral report at the end of the second semester. Supervising faculty will review progress with the student on a regular basis and progress reports made twice each semester to the Physics Senior Committee to ensure successful completion of the work. Prereq: PHYS 302 or PHYS 309.

PHYS 353. Senior Engineering Physics Project (3)
A two-semester course required for senior engineering physics majors (3 credits each semester). The project will be in the student’s engineering physics concentration area and will be supervised by a faculty advisor who will review progress with the student on a regular basis. The project may be calculational, experimental or theoretical, and will address both the underlying physics and appropriate engineering design principles. The project requirements include short oral presentations twice each semester before the senior project committee and a term-paper and an oral presentation at the end of the second semester. Prereq: PHYS 318.

PHYS 365. General Relativity (3)
This is an introductory course in general relativity. The techniques of tensor analysis will be developed and used to describe the effects of gravity and Einstein’s theory. Consequences of the theory as well as its experimental tests will be discussed. An introduction to cosmology will be given. Prereq: Consent of department.

PHYS 413. Classical and Statistical Mechanics I (3)
An integrated approach to classical and statistical mechanics. Lagrangian and Hamiltonian formulations, conservation laws, kinematics and dynamics, Poisson brackets, continuous media, derivation of laws of thermodynamics, the development of the partition function. To be followed by PHYS 414.

PHYS 414. Classical and Statistical Mechanics II (3)
A continuation of PHYS 413. Noninteracting systems, statistical mechanics of solids, liquids, gases, fluctuations, irreversible processes, phase transformations. Prereq: PHYS 413 and consent of department.

PHYS 415. Introduction to Solid State Physics (3)
(See PHYS 315.) For graduate students in engineering and science. (May not be taken for credit by graduate students in the Department of Physics.) Prerequisite may be waived with consent of department. Prereq: PHYS 331.

PHYS 423. Classical Electromagnetism (3)
Electromagnetic theory in the classical limit. Gauge invariance and special relativity. Applications to electrostatic, magnetostatic, and radiation problems using advanced mathematical techniques. Dielectric, magnetic, and conducting materials. Wave propagation in open and confined geometries. Radiation from accelerating charges. Cherenkov, synchrotron, and transition radiation.

PHYS 426. Physical Optics (3)
(See PHYS 326.)

PHYS 428. Cosmology and the Structure of the Universe (3)
(See ASTR 428.) Cross-listed as ASTR 428.

PHYS 431. Physics of Imaging (3)
Description of physical principles underlying the spin behavior in MR and Fourier imaging in multi-dimensions. Introduction of conventional, fast, and chemical-shift imaging techniques. Spin echo, gradient echo, and variable flip-angle methods. Projection reconstruction and sampling theorems. Bloch equations, T1 and T2 relaxation times, rf penetration, diffusion and perfusion. Flow imaging, MR angiography, and functional brain imaging. Sequence and coil design. Prerequisite may be waived with consent of instructor. Prereq: PHYS 122 or PHYS 124 or EBME 410. Cross-listed as EBME 431.

PHYS 439. Special Topics Seminar (1-3)
Intermediate level seminar for advanced undergraduate and beginning graduate students.

PHYS 441. Physics of Condensed Matter I (3)
Crystal structure, x-ray diffraction, band theory and applications. Free electron theory of metals and electrons in magnetic fields. Prereq: Consent of department.

PHYS 442. Physics of Condensed Matter II (3)
Continuation of PHYS 441. Lattice vibrations, thermal properties of solids, semiconductors, magnetic properties of solids, and superconductivity. Prerequisite may be waived with consent of department. Prereq: PHYS 441.

PHYS 449. Methods of Mathematical Physics I (3)
(See PHYS 349.) Additional work required.

PHYS 450. Methods of Mathematical Physics II (3)
(See PHYS 350.) Additional work required.

PHYS 451. Empirical Foundations of the Standard Model I (3)
The experimental basis for modeling the electroweak and strong interactions in terms of fundamental fermions, quarks and leptons, and gauge bosons, photons, the weak bosons, and gluons; particle accelerators and detection techniques; phenomenology of particle reactions, decays and hadronic structure; space, time and internal symmetries; symmetries; symmetry breaking. Prereq: Consent of department.

PHYS 452. Empirical Foundations of the Standard Model II (3)
Continuation of PHYS 451. Tests of the predictions of the broken SU(2) x U(1) gauge-symmetric model of the electroweak interactions and the color-SU(3) model of the strong interactions. Structure of the weak currents, the quark mixing matrix, and the gauge-boson couplings. Exploration of the Higgs sector and the coupling of the Higgs to quarks and leptons. Heavy quark physics. Calculation of hadronic processes using partonic distribution functions. CP violation, neutrino masses, fermion nonconservation, and possible extensions of the Standard Model. Prerequisite may be waived with consent of department. Prereq: PHYS 451.

PHYS 460. Advanced Topics in NMR Imaging (3)
(See EBME 460.) Cross-listed as EBME 460.

PHYS 465. General Relativity (3)
(See PHYS 365.) Additional work required.

PHYS 472. Graduate Physics Laboratory (3)
A series of projects designed to introduce the student to modern research techniques such as automated data acquisition. Students will be assessed as to their individual needs and a sequence of projects will be established for each individual. Topics may include low temperature phenomena, nuclear gamma ray detection and measurement and optics.

PHYS 481. Quantum Mechanics I (3)
Quantum mechanics with examples of applications. Schroedinger method; matrix and operator methods. Approximation methods including WKB, variational and various perturbation methods. Applications to atomic, molecular and nuclear physics including both bound states and scattering problems. Applications of group theory to quantum mechanics. Prereq: Consent of department.

PHYS 482. Quantum Mechanics II (3)
Continuation of PHYS 481. Prerequisite may be waived with consent of department. Prereq: PHYS 481.

PHYS 491. Modern Physics for Innovation I (3)
The first half of a two-semester sequence providing an understanding of physics as a basis for successfully launching new high-tech ventures. The course will examine physical limitations to present technologies, and the use of physics to identify potential opportunities for new venture creation. The course will provide experience in using physics for both identification of incremental improvements, and as the basis for alternative technologies. Case studies will be used to illustrate recent commercially successful (and unsuccessful) physics-based venture creation, and will illustrate characteristics for success. Prereq: Permission of department.

PHYS 492. Modern Physics for Innovation II (3)
Continuation of PHYS 491, with an emphasis on current and prospective opportunities for Physics Entrepreneurship. Longer term opportunities for Physics Entrepreneurship in emerging areas including, but not limited to, nanoscale physics and nanotechnology; biophysics and applications to biotechnology; physics-based opportunities in the context of information technology. Prereq: PHYS 491.

PHYS 522. Nonlinear Optics (3)
Classical phenomenology and Maxwell’s equations in media; Maxwell-Bloch equations. Theory of nonlinear wave interactions and propagation. Properties of optical fibers and nonlinear materials. Theory of nonlinear propagation, solitons, inverse scattering transforms, optical chaos. Applications to lasers, optical bistability, self-induced transparency, and stimulated light scattering. Prereq: PHYS 423 and PHYS 481.

PHYS 539. Special Topics Seminar (1-3)
Individual or small group instruction on topics of interest to the department. Topics include, but are not limited to, particle physics, astrophysics, optics, condensed matter physics, biophysics, imaging. Several such courses may run concurrently. Prereq: Permission of department.

PHYS 541. Quantum Theory of Solids I (3)
Elementary excitations in solids, including lattice vibrations, spin waves, helicons, and polarons. Quasiparticles and collective coordinates. BCS theory of superconductivity. Quasicrystals. Transport properties. Conduction electrons in magnetic fields and the quantum Hall effect. Green function methods of many-body systems. Prereq: PHYS 442 or consent of department.

PHYS 544. Advanced Theory of Materials (3)
Density functional theory: successes and limitations. Electronic structure and total energy calculation methods. Simulations of structure of solids, molecular dynamics. Experimental probes: particle-solid interactions. Applications to various classes of materials: metals and their alloys, semiconductors, narrow band systems. Defects in solids: point defects, surfaces and interfaces; and artificially structured materials. Prerequisite may be waived by consent of department. Prereq: PHYS 442.

PHYS 566. Cosmology (3)
This course will provide an up-to-date introduction to our current understanding of the origin and evolution of the Universe and will make connections between our understanding of elementary particle physics and cosmology. Specific topics will include: General Parameters of Cosmology: Expansion, Lifetime, and Density of the Universe. The Early Universe, Constraints on Elementary Particles, Dark Matter and Dark Energy, Nucleosynthesis, Cosmic Microwave Background, Inflation, Stellar Evolution, Gravitational Waves, Baryogenesis. Some background in general relativity and particle physics phenomenology is recommended. Prereq: Consent of the department.

PHYS 579. Special Topics: Frontiers in Research (3)
In-depth examination of a cutting-edge topic of current research. New topic is selected each semester.

PHYS 581. Quantum Mechanics III (3)
Continuation of PHYS 482. The methods of quantum field theory applied to the nonrelativistic many-body problem, radiation theory, and relativistic particle physics. Second quantization using canonical and path integration techniques, constrained systems, and gauge theories. Graphical perturbative methods and graphs summation approaches. Topological aspects of field theories. Prereq: PHYS 482 and consent of department.

PHYS 591. Gauge Field Theory I (3)
Noether’s theorem, symmetries and conserved currents, functional integral techniques, quantization, Feynman rules, anomalies, QED, electroweak interactions, QCD, renormalization, renormalization group, asymptotic freedom and assorted other topics. Prereq: PHYS 581 and consent of department.

PHYS 592. Gauge Field Theory II (3)
(See PHYS 591.) Prereq: PHYS 591.

PHYS 666. Frontiers in Physics (0)
Weekly colloquia given by eminent physicists from around the world on topics of current interest in physics.

PHYS 820. Teaching Physics: Hands-On and Inquiry-Based (2)
This lab-based course is directed at in-service teachers of science in the middle and high schools. The course content will cover the basics of mechanics, oscillations and waves, sound, and light. The sessions will be hands-on and activity-based. The sessions will also model and discuss teaching pedagogy such as cooperative learning, interactive lectures, learning styles, constructivism and inquiry-learning. The technology used will vary from sophisticated computer-based labs to cheap, home-made experiments. The participants will also be trained in the machine shop on how to use tools to construct items for their own classrooms. Evaluation will be based on attendance, participation, pre- and post-tests, and journals. Prereq: Consent of department.

PHYS 822. Physics Teacher Retraining (1)
For pre-college teachers who have taken PHYS 820 and who wish to develop similar courses for other teachers. Will involve working with students in PHYS 820 to help them improve their understanding of concepts, and working with the instructors on ways to make courses such as this more effective. Enrollment limited to five. Prereq: PHYS 820 and consent of department.

PHYS 840. Teaching Electricity (2)
This lab-based course is directed at in-service and prospective teachers of science in the middle and high schools. The course content will cover the basics of electricity (current, voltage, power, energy, Kirchhoff’s laws and their relation to the laws of conservation of charge and energy, Ohm’s law). Some elements of magnetism will also be introduced, time-permitting. The sessions will be hands-on and activity-based. The sessions will also model and discuss teaching pedagogy such as cooperative learning, interactive lectures, learning styles, constructivism and inquiry-learning. The technology used will involve simple and cheap equipment that can be easily replicated in classrooms. Evaluation will be based on attendance, participation, pre- and post-tests, and journals.

The Bachelor of Science in Physics requires completion of the Arts and Sciences General Education Requirements (GER), the courses listed in the following table and 127 total credits. Courses required for the B.S. in Physics satisfy the 12 credit GER for Natural and Mathematical Sciences.

Students who are interested in theoretical physics and who have a strong background in mathematics may consider applying for admission to the variation on the B.S. in Physics. This program is based on the B.S. 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 separate degree program, the B.S. in Mathematics and Physics, which is 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. Those courses in the standard B.S. program that are to be replaced are shown in brackets and are followed by their replacements.

This new concentration is addressed to those students interested in a combined study in biology and physics. The degree is a track within the standard B.S. in Physics. Four physics courses and certain open-elective credits are replaced by a "biogroup" of five courses, and a technical elective described below. The first of the two junior-level standard laboratory courses is replaced by one with a biology focus. All substitutions must be approved by a physics faculty committee.

The following table illustrates the requirements for the Bachelor of Science in Physics with Biophysics Concentration. Those courses in the standard B.S. program that are to be replaced are shown in brackets; their replacements are either found in the same entry or in the biogroup category.

In contrast to an applied mathematics degree or the B.S. in Physics with a Mathematical Physics Concentration, this is a synergistic, coherent, and parallel education in mathematics and physics. To a close approximation, the challenging course work corresponds to combining the mathematics and physics cores, with the physics laboratory cluster replaced by a single senior-year laboratory semester. A student in this new program may use either of two official advisors, one available from each department, who would also constitute a committee for the administration of the degree and the approval of curriculum petitions.

The total number of required credits is 126 (35 MATH, 38 PHYS, 6 senior project, 11-13 ENGR and CHEM, 27 A&S GER with 12 of the normal 39 GER credits satisfied by MATH and PHYS courses). There are 7-9 credits of open electives.

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 56 are specified by the Physics Department as shown below. Courses specified for this major satisfy the 12-credit Arts and Sciences GER for Natural and Mathematical Sciences.