lign="center">

2

3

PHYS 203

Elec Lab

2F

4

PHYS 204

Instr Lab

2S

4

PHYS 250

CompMeth

2S

3

PHYS 310

Clas. Mech.

2S

3

PHYS 301

AdvLab 1

3F

3

PHYS 3032

AdvLabSem

3F

1

PHYS 313

Thermo

3F

3

PHYS 331

QM 1

3F

3

PHYS 332

QM 2

3S

3

PHYS 302

Adv. Lab 2

3S

4

PHYS 324

E&M 1

3S

3

PHYS 325

E&M 2

4F

3

PHYS 3512

SrProj

4

4

PHYS 3522

SrProjSem

4

2

  

CHOOSE 1 of the following 3:

PHYS 315

Solid State

4F

3

PHYS 326

Physical Optics

S

3

PHYS 327

Quant. Elec.

4S

3

  

CHOOSE 1 of the following 4:

PHYS 316

Nuc. Particle

4S

3

PHYS 328

Cosmo.Univ.

4

3

PHYS 336

Mod.Cosmo.

4

3

PHYS 365

General Rel.

4S

3

Subtotal

60

  

Course

  

Yr1

Credits

CHEM 105 or 111

Chem 1

1

3 (4)

CHEM 106 or ENGR 145

Chem 2

1

3 (4)

ENGR 1313

CompP

1

3

MATH 121 or 123

Calc 1

1

4

MATH 122 or 124

Calc 2

1

4

MATH 223 or 227

Cal 3

2

3

MATH 224

Dif Eq

2

3

PHED 2 semesters

     

0

Subtotal

23 (25)

SAGES first/univ. sem.

  

1&2

10

Breadth requirements4

     

124

Open electives5

     

385

Total

127

 

1 Course usually taken in this year; F or S indicates it is offered only in the fall or spring.


2 PHYS 303 + PHYS 352 satisfy the SAGES departmental seminar requirement. PHYS 351 is an approved SAGES capstone course.


3 Or other approved computational course.


4 The breadth requirements include 6 hours of Social Sciences and 6 hours of Arts and Humanities. This may increase by 3 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.


5 The number of open electives may vary, depending on how many credits a student needs to reach the required total of 127.


Typical Schedule

  

Fall (Class Hours-Lab Hours-Credit Hours)

* = wildcard, variable choice of letter or number

Spring (Class Hours-Lab Hours-Credit Hours)

1st Year

PHYS 121 or PHYS 123 Mechanics (4-3-4)

MATH 121 Calculus for Science and Engineering I (4-0-4)

CHEM 105 or CHEM 111 (3-0-3) or (4-0-4)

ENGR 131 Elementary Computer Programming (2-2-3)

FS** SAGES First Seminar (4-0-4)

PHED *** Physical Education Activities (0-3-0)

PHYS 122 or PHYS 124 Electricity & Magnetism (4-3-4)

MATH 122 Calculus for Science and Engineering II (4-0-4)

CHEM 106 or ENGR 145 (3-0-3) or (4-0-4)

US** University Seminar (3-0-3)

Humanities/Social Science Elective (3-0-3)

PHED *** Physical Education Activities (0-3-0)

2nd Year

PHYS 203 Analog & Digital Electronics (2-4-4)

PHYS 221 General Physics III – Modern Physics (3-0-3)

MATH 223 Calculus for Science & Engineering III (3-0-3)

US** University Seminar (3-0-3)

Humanities/Social Science Elective (3-0-3)

PHYS 204 Advanced Instrumentation Lab (2-4-4)

PHYS 250 Mathematics, Physics and Computing (3-0-3)

PHYS 310 Classical Mechanics (3-0-3)

MATH 224 Differential Equations (3-0-3)

Humanities/Social Science Elective (3-0-3)

3rd Year

PHYS 301 Advanced Laboratory Physics I (0-8-4)

PHYS 303 Advanced Laboratory Physics Seminar (1-0-1)

PHYS 313 Thermodynamics & Statistical Mech. (3-0-3)

PHYS 331 Introduction to Quantum Mechanics I (3-0-3)

Humanities/Social Science Elective (3-0-3)

PHYS 302 Advanced Laboratory Physics II (0-8-4)

PHYS 324 Electricity and Magnetism I (3-0-3)

PHYS 332 Introduction to Quantum Mechanics II (3-0-3)

Global and Cultural Diversity Elective (3-0-3)

Open Elective (3-0-3)

4th Year

PHYS 325 Electricity and Magnetism II (3-0-3)

PHYS 351 Senior Physics Project (0-6-2)

PHYS 352 Senior Physics Project Seminar (1-0-1)

PHYS 3** Condensed Matter Physics Elective (3-0-3)

Open Elective (3-0-3)

PHYS 351 Senior Physics Project (0-6-2)

PHYS 352 Senior Physics Project Seminar (1-0-1)

PHYS 3** Particle/Astrophysics Elective (3-0-3)

Open Elective (3-0-3)

Open Elective (3-0-3)

 

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 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 replaced are shown in brackets and are followed by their replacements.


Course

  

Yr1

Credits

PHYS 121

Intro Mech

1

4

PHYS 122 or 124

Intro E&M

1

4

PHYS 221

Modern

2F

3

[PHYS 203]

M-group 12

[Elec Lab]

Adv. Math

[2F]

2

3

PHYS 204

Instr Lab

2S

4

PHYS 250

CompMeth

2S

3

PHYS 310

Clas. Mech.

2S

3

[PHYS 301]

PHYS 349

[Adv Lab 1]

Math Meth I

{3F]

3F

3

PHYS 3033

AdvLabSem

3F

1

M-group 22

Adv math

3

3

PHYS 313

Thermo

3F

3

[PHYS 331]

PHYS 481

[QM 1]

QM I grad

[3F]

3F

3

PHYS 302

Adv. Lab 2

3S

4

[PHYS 324]

PHYS 423

[E&M 1]

E&M grad

3F

3

[PHYS 332]

PHYS 482

[QM 2]

QM 2 grad

[3S]

3S

3

[PHYS 325]

PHYS 350

[E&M 2]

MathMeth II

[4F]

3S

3

M-group 32

Adv math

4

2

PHYS 3513

SrPrj

4

4

PHYS 3523

SrProjSem

4

2

  

CHOOSE 1 of the following 3:

PHYS 315

Solid State

4F

3

PHYS 326

Phys. Optics

S

3

PHYS 327

Quant. Elec.

4S

3

  

CHOOSE 1 of the following 4:

PHYS 316

Nuc. Particle

4S

3

PHYS 328

Cosmo.Univ.

4

3

PHYS 336

Mod.Cosmo.

4

3

PHYS 365

General Rel.

4F

3

Subtotal

65

  

Course

  

Yr1

Credits

CHEM 105 or 111

Chem 1

1

3 (4)

CHEM 106 or ENGR 145

Chem 2

1

3 (4)

ENGR 1314

CompP

1

3

MATH 121 or 123

Calc 1

1

4

MATH 122 or 124

Calc 2

1

4

MATH 223 or 227

Calc 3

2F

3

MATH 224

Diff E

2S

3

PHED 2 semesters

     

0

Subtotal

23 (25)

SAGES first/univ. sem.

  

1&2

10

Breadth requirements4

     

124

Open electives5

     

385

Total

127

 

1 Course usually taken in this year; F or S indicates it is offered only in the fall or spring.


2 M-group 1, 2 and 3 are to be chosen from among approved advanced mathematics or statistics courses.


3 PHYS 303 + PHYS 352 satisfy the SAGES departmental seminar requirement. PHYS 351 is an approved SAGES capstone course.


4 Or other approved computational course.


5 The breadth requirements include 6 hours of Social Sciences and 6 hours of Arts and Humanities. This may increase by 3 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.


6 The number of open electives may vary, depending on the number of credits a student needs to reach the required total of 127.


Typical Schedule

  

Fall

(Class Hours-Lab Hours-Credit Hours)

* = wildcard, variable choice of letter or number

Spring

(Class Hours-Lab Hours-Credit Hours)

1st Year

PHYS 121 or PHYS 123 Mechanics (4-3-4)

MATH 121 Calculus for Science and Engineering I (4-0-4)

CHEM 105 or CHEM 111 (3-0-3) or (4-0-4)

ENGR 131 Elementary Computer Programming (2-2-3)

FS** SAGES First Seminar (4-0-4)

PHED *** Physical Education Activities (0-3-0)

PHYS 122 or PHYS 124 Electricity & Magnetism (4-3-4)

MATH 122 Calculus for Science and Engineering II (4-0-4)

CHEM 106 or ENGR 145 (3-0-3) or (4-0-4)

US** University Seminar (3-0-3)

Humanities/Social Science Elective (3-0-3)

PHED *** Physical Education Activities (0-3-0)

2nd Year

PHYS 221 General Physics III – Modern Physics (3-0-3)

MATH 223 Calculus for Science & Engineering III (3-0-3)

US** University Seminar (3-0-3)

Humanities/Social Science Elective (3-0-3)

Open Elective (3-0-3)

PHYS 204 Advanced Instrumentation Lab (2-4-4)

PHYS 250 Mathematics, Physics and Computing (3-0-3)

PHYS 310 Classical Mechanics (3-0-3)

MATH 224 Differential Equations (3-0-3)

Humanities/Social Science Elective (3-0-3)

3rd Year

PHYS 303 Advanced Laboratory Physics Seminar (1-0-1)

PHYS 313 Thermodynamics & Statistical Mech. (3-0-3)

PHYS 349 Mathematical Methods of Physics I (3-0-3)

PHYS 423 Graduate Classical Electricity and Magnetism I (3-0-3)

PHYS 481 Graduate Quantum Mechanics I (3-0-3)

Humanities/Social Science Elective (3-0-3)

PHYS 302 Advanced Laboratory Physics II (0-8-4)

PHYS 350 Mathematical Methods of Physics II (3-0-3)

PHYS 482 Graduate Quantum Mechanics II (3-0-3)

Global and Cultural Diversity Elective (3-0-3)

MATH *** Advanced Mathematics Elective (3-0-3)

4th Year

PHYS 351 Senior Physics Project (0-6-2)

PHYS 352 Senior Physics Project Seminar (1-0-1)

PHYS 3** Condensed Matter Physics Elective (3-0-3)

MATH *** Advanced Mathematics Elective (3-0-3)

Open Elective (3-0-3)

Open Elective (3-0-3)

PHYS 351 Senior Physics Project (0-6-2)

PHYS 352 Senior Physics Project Seminar (1-0-1)

PHYS 3** Particle/Astrophysics Elective (3-0-3)

MATH *** Advanced Mathematics Elective (3-0-3)

Open Elective (3-0-3)

Open Elective (3-0-3)

 

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 standard B.S. in physics, in which four physics courses and certain open electives are replaced by a “biogroup” of five courses and a technical elective. 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 replaced are shown in brackets; their replacements are found either in the same entry or in the biogroup category.


Course

  

Yr1

Credits

PHYS 121 or 123

Intro Mech

1

4

PHYS 122 or 124

Intro E&M

1

4

PHYS 221

Modern

2F

3

PHYS 203

Elec Lab

2F

4

PHYS 204

Instr Lab

2S

4

PHYS 250

CompMeth

2S

3

PHYS 310

Clas. Mech.

2S

3

PHYS 301

Clas. Mech

2S

3

PHYS 3033

AdvLabSem

3F

1

PHYS 313

Thermo

3F

3

PHYS 331

QM 1

3F

3

[PHYS 302]

[Adv Lab 2]

     

PHYS 324

E&M 1

3S

3

[PHYS 332]

[QM 2]

     

[PHYS 315]

Tech elective2

[Solid State]

4F

3

PHYS 325

E&M 2

4F

3

PHYS 3513

Sr Proj

4

4

PHYS 3523

SrProjSem

4

2

[PHYS 316]

[Nuc Par]

     

Subtotal

50

  

Course

  

Yr1

Credits

CHEM 105 or 111

Chem 1

1

3 (4)

CHEM 106 or ENGR 145

Chem 2

1

3 (4)

CHEM 113

CLab

1

2

ENGR 1314

CompPro

1

3

MATH 121 or 123

Calc 1

1

4

MATH 122 or 124

Calc 2

1

4

MATH 223 or 227

Calc 3

2F

3

MATH 224

Diff E

2S

3

B-group 15

biogroup

1

4 (3)

B-group 25

biogroup

2

4 (3)

B-group 35

biogroup

3

3

B-group 45

biogroup

3

3

B-group 55

biogroup

4

3 (4)

PHED 2 semesters

     

0

Subtotal

42 (44)

SAGES first/univ. sem.

  

1&2

10

Breadth requirements6

     

126

Open electives7

     

207

Total

127

 

1 Course usually taken in this year; F or S indicates it is offered only in the fall or spring.


2 Suggested technical electives include PHYS 315, 316, 326, 327, 328, 336, 365.


3 PHYS 303 + PHYS 352 satisfy the SAGES departmental seminar requirement. PHYS 351 is an approved SAGES capstone course.


4 Or other approved computational course.


5 B-group 1-5 are to be chosen from among approved biology, biophysics, biochemistry, and biomedical engineering courses, including certain prerequisites as needed (e.g., chemistry). BIOL 214 and BIOL 215 are suggested for B-group 1 and 2. The listing of credits includes numbers for the most likely choices of courses and, in parentheses, possible alternatives.


6 The breadth requirements include 6 hours of Social Sciences and 6 hours of Arts and Humanities. This may increase by 3 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.


7 The number of open electives may vary, depending on the number of credits a student needs to reach the required total of 127.


Typical Schedule

  

Fall

(Class Hours-Lab Hours-Credit Hours)

* = wildcard, variable choice of letter or number

Spring

(Class Hours-Lab Hours-Credit Hours)

1st Year

PHYS 121 or PHYS 123 Mechanics (4-3-4)

MATH 121 Calculus for Science and Engineering I (4-0-4)

CHEM 105 or CHEM 111 (3-0-3) or (4-0-4)

ENGR 131 Elementary Computer Programming (2-2-3)

FS** SAGES First Seminar (4-0-4)

PHED *** Physical Education Activities (0-3-0)

PHYS 122 or PHYS 124 Electricity & Magnetism (4-3-4)

MATH 122 Calculus for Science and Engineering II (4-0-4)

CHEM 106 or ENGR 145 (3-0-3) or (4-0-4)

CHEM 113 Chemistry Lab (1-3-2)

BIOGROUP Elective (3-0-3)

PHED *** Physical Education Activities (0-3-0)

2nd Year

PHYS 203 Analog & Digital Electronics (2-4-4)

PHYS 221 General Physics III – Modern Physics (3-0-3)

MATH 223 Calculus for Science & Engineering III (3-0-3)

BIOGROUP Elective (3-0-3)

US** University Seminar (3-0-3)

PHYS 204 Advanced Instrumentation Lab (2-4-4)

PHYS 250 Mathematics, Physics and Computing (3-0-3)

PHYS 310 Classical Mechanics (3-0-3)

MATH 224 Differential Equations (3-0-3)

US** University Seminar (3-0-3)

3rd Year

PHYS 301 Advanced Laboratory Physics I (0-8-4)

PHYS 303 Advanced Laboratory Physics Seminar (1-0-1)

PHYS 313 Thermodynamics & Statistical Mech. (3-0-3)

PHYS 331 Introduction to Quantum Mechanics I (3-0-3)

BIOGROUP Elective (3-0-3)

Humanities/Social Science Elective (3-0-3)

PHYS 324 Electricity and Magnetism I (3-0-3)

BIOGROUP Elective (3-0-3)

Global and Cultural Diversity Elective (3-0-3)

Humanities/Social Science Elective (3-0-3)

Open Elective (3-0-3)

4th Year

PHYS 325 Electricity and Magnetism II (3-0-3)

PHYS 351 Senior Physics Project (0-6-2)

PHYS 352 Senior Physics Project Seminar (1-0-1)

PHYS 3** Physics Elective (3-0-3)

Humanities/Social Science Elective (3-0-3)

Open Elective (3-0-3)

PHYS 351 Senior Physics Project (0-6-2)

PHYS 352 Senior Physics Project Seminar (1-0-1)

BIOGROUP Elective (3-0-3)

Humanities/Social Science Elective (3-0-3)

Open Elective (3-0-3)

Open Elective (3-0-3)

 

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.


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.


Typical Schedule

  

Fall

(Class Hours-Lab Hours-Credit Hours)

* = wildcard, variable choice of letter or number

Spring

(Class Hours-Lab Hours-Credit Hours)

1st Year

PHYS 121 General Physics I. Mechanics (4-3-4)b

MATH 121 Calculus for Science and Engineering I (4-0-4)a

CHEM 111 Principles of Chemistry for Engineers (4-0-4)

FS** SAGES First Seminar (4-0-4)

PHED *** Physical Education Activities (0-3-0)

Total (16-6-16)

PHYS 122 General Physics II. Electricity & Magnetism (4-3-4)b

MATH 122 Calculus for Science and Engineering II (4-0-4)a

ENGR 131 Elementary Computer Programming (2-2-3)

ENGR 145 Chemistry of Materials (4-0-4)

US** University Seminar (3-0-3)

PHED *** Physical Education Activities (0-3-0)

Total (17-8-18)

2nd Year

PHYS 221 General Physics III – Modern Physics (3-0-3)

MATH 223 Calculus for Science & Engineering III (3-0-3)

ENGR 200 Statics and Strength of Materials (3-0-3)

ENGR 210 Circuits & Instrumentation (3-2-4)

US** University Seminar (3-0-3)

Total (15-2-16)

PHYS 208 Instrumentation and Signal Analysis Lab (2-4-4)

PHYS 250 Mathematics, Physics and Computing (3-0-3)

PHYS 310 Classical Mechanics (3-0-3)

MATH 224 Differential Equations (3-0-3)

ENGR 225 Thermodynamics, Fluids, Heat & Mass Transfer (4-0-4)

Total (15-4-17)

3rd Year

PHYS 303 Advanced Laboratory Physics Seminar (1-0-1)

PHYS 313 Thermodynamics & Statistical Mech. (3-0-3)

PHYS 317 Engineering Physics Lab I(0-3-3)

PHYS 331 Introduction to Quantum Mechanics I(3-0-3)

Engineering Concentration (3-0-3)c

Humanities/Social Science Elective (3-0-3)

Total (13-3-16)

PHYS 318 Engineering Physics Lab II(2-4-4)

PHYS 324 Electricity and Magnetism I(3-0-3)

ENGL 398N Professional Communications (3-0-3)

Humanities/Social Science Elective (3-0-3)

Engineering Concentration (3-0-3)c

Total (14-4-16)

4th Year

PHYS 315 Introduction to Solid State Physics (3-0-3)

PHYS 325 Electricity and Magnetism II(3-0-3)

PHYS 352 Senior Physics Project Seminar (1-0-1)

PHYS 353 Senior Engineering Physics Project (0-6-2)

Engineering Concentration (3-0-3)c

Humanities/Social Science Elective (3-0-3)

Total(13-6-15)

PHYS 352 Senior Physics Project Seminar (1-0-1)

PHYS 353 Senior Engineering Physics Project (0-6-2)

Applied Quantum Mechanics (3-0-3)d

Engineering Concentration (3-0-3)c

Humanities/Social Science Elective (3-0-3)

Open Elective (3-0-3)

Total(13-6-15)


a Selected students may be invited to take MATH 123, 124, 227, and 228 in place of MATH 121, 122, 223, and 224.


b Selected students may be invited to take PHYS 123, 124 (Physics and Frontiers I, II Honors) in place of PHYS 121, 122.


c 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.


d PHYS 332, PHYS 327/427, EEAP 321, EEAP 420, EMSE 314, or EMSE. Students may choose to fulfill this requirement in their third year.


Bachelor of Science in Mathematics and Physics


Course

  

Yr1

Credits

MATH 121 or 123

Calculus I

1

4

MATH 122 or 124

Calculus II

1

4

PHYS 121 or 123

Intro Mech

1

4

PHYS 122 or 124

Intro E&M

1

4

CHEM 105 or 1112

Intro Chem I

1

3 (4)

CHEM 106 or ENGR 1452

Intro Chem II

1

3 (4)

ENGR 1313

CompProg

1

3

  

PHYS 221

Modern

2

3

MP4

MP group I

2

3

MATH 223 or 227

Calculus III

2

3

MATH 224

Diff. Eqs

2

3

MATH 307

Algebra I

2F

3

MATH 308

Algebra II

2S

3

PHYS 310 Clas.Mech.

Clas.Mech.

2S

3

  

PHYS 313

Thermo/StatMech

3F

3

PHYS 331 or 481

Quantum I

3F

3

PHYS 332 or 482

Quantum II

3S

3

MP4

MP group II

3

3

MP4

MP group III

3

3

MATH 321

Analysis I

3F

3

MATH 322

Analysis II

3S

3

MATH 324

Complex Var

3S

3

  

PHYS 3XX5

Advanced Physics

4

3

MP4

MP group IV

4

3

MATH/PHYS 3516

Senior Project

4

6

PHYS 423

Adv Elec & Mag

4F

3

PHYS 472

Grad Lab

4S

3

SAGES DeptSem7

        

PHED 2 semesters

     

0

SAGES 1st/Un sem

  

1&2

10

Breadth Req.8

     

128

Open electives9

     

169

Total

126

 

1 Course usually taken in this year; F or S indicates it is offered only in the fall or spring.


2 Other science sequence courses may be substituted if approved by the mathematics and physics (MP) committee.


3 Or other approved computational course


4 The “MP group” of four courses corresponds to two physics courses and two mathematics courses. The physics courses are chosen from PHYS 250, 349, and 350. 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 300 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.


5 An advanced physics course to be selected from the following list: PHYS 315, 316, 326, 327, 328, 336, 365.
6 PHYS 303 + PHYS 352 satisfy the SAGES departmental seminar requirement. PHYS 351 is an approved SAGES capstone course.


7 Students may take either the math or physics SAGES departmental seminar. The physics version consists of 1 credit of PHYS 303 plus two credits of PHYS 352.


8 The breadth requirements include 6 hours of Social Sciences and 6 hours of Arts and Humanities. This may increase by 3 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 Mathematics and Physics satisfy the 6-credit GER for Natural Sciences and Mathematics as well as the Quantitative Reasoning course requirement.


9 The number of open electives may vary, depending on how many credits the student needs to reach the required total of 126.


Typical Schedule

  

Fall

(Class Hours-Lab Hours-Credit Hours)

* = wildcard, variable choice of letter or number

Spring

(Class Hours-Lab Hours-Credit Hours)

1st Year

PHYS 121 or PHYS 123 Mechanics (4-3-4)

MATH 121 Calculus for Science and Engineering I (4-0-4)

CHEM 105 or CHEM 111 (3-0-3) or (4-0-4)

ENGR 131 Elementary Computer Programming (2-2-3)

FS** SAGES First Seminar (4-0-4)

PHED *** Physical Education Activities (0-3-0)

PHYS 122 or PHYS 124 Electricity & Magnetism (4-3-4)

MATH 122 Calculus for Science and Engineering II (4-0-4)

CHEM 106 or ENGR 145 (3-0-3) or (4-0-4)

US** University Seminar (3-0-3)

Humanities/Social Science Elective (3-0-3)

PHED *** Physical Education Activities (0-3-0)

2nd Year

PHYS 221 General Physics III – Modern Physics (3-0-3)

MATH 223 or 227 Calculus III (3-0-3)

MATH 307 Algebra I (3-0-3)

US** University Seminar (3-0-3)

Humanities/Social Science Elective (3-0-3)

PHYS 310 Classical Mechanics (3-0-3)

MATH 224 Differential Equations (3-0-3)

MATH 308 Algebra II (3-0-3)

MATH/PHYS Elective (3-0-3)

Humanities/Social Science Elective (3-0-3)

3rd Year

PHYS 313 Thermodynamics & Statistical Mech. (3-0-3)

PHYS 331 or 481 Quantum Mechanics I (3-0-3)

MATH 321 Analysis I (3-0-3)

MATH/PHYS Elective (3-0-3)

Humanities/Social Science Elective (3-0-3)

SAGES Departmental Seminar (3-0-3)

PHYS 332 or 482 Quantum Mechanics II (3-0-3)

MATH 322 Analysis I (3-0-3)

MATH 324 Complex Variables (3-0-3)

Global and Cultural Diversity Elective (3-0-3)

4th Year

SAGES Capstone (3-0-3)

PHYS 3** Physics Elective (3-0-3)

PHYS 423 Graduate Electricity & Magnetism (3-0-3)

MATH/PHYS Elective (3-0-3)

Open Elective (3-0-3)

PHYS 472 Graduate Laboratory (0-8-4)

MATH/PHYS Elective (3-0-3)

MATH/PHYS Elective (3-0-3)

Open Elective (3-0-3)

Open Elective (3-0-3)

 

Course Descriptions


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 nature of 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. Recommended preparation: PHYS 100, PHYS 115, PHYS 121, or PHYS 123.


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


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


PHYS 115. Introductory Physics I (4)
First part of a two-semester sequence directed primarily towards students working towards a B.A. in science, with an emphasis on the life sciences. 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.


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. Recommended preparation: 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. Prereq or Coreq: MATH 122 or 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. Prereq or Coreq: MATH 122 or MATH 124.


PHYS 137. The Scientific Frontier: Origins, from the Big Bang to Life on Earth (3)
This course will provide undergraduates, both science and non-science majors, with a general perspective of the modern state of our physical understanding of the universe, including outstanding puzzles at the forefront of modern science, focusing on the questions of origins: the origin of the universe, of our galaxy, of matter, of life, etc.


PHYS 166. Physics Today and Tomorrow (1)
This course will provide students with an opportunity to learn about the most exciting and timely research areas in physics, as well as other topics germane to being a professional physicist. These discussions will cover fields such as nanoscience, ultrafast optics, exotic materials, biophysics, cosmology, string theory and the role of physicists in developing new technologies. Each week a member of the faculty will meet with students to discuss a topic of current interest, how a physicist approaches the problem, and how physicists interact with others to find a solution. Other topics germane to being a professional physicist also will be discussed, including the relationship among academic, industrial, and governmental laboratories; ethics, and non-traditional careers for students trained in physics.


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. Recommended preparation: PHYS 122 or PHYS 124.


PHYS 203A. Analog and Digital Electronics for B.A. (2)
This course is the first half of the laboratory requirement for the B.A. degree in Physics and is the first half of PHYS 203. 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, digital circuits including logic gates. This course includes weekly lecture and laboratory work in electronics; it may also include an additional weekly lecture, associated with PHYS 301, on topics such as error analysis, technical writing and oral presentations. Recommended preparation: PHYS 116, 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. Recommended preparation: 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. Recommended preparation: PHYS 221.


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. Computational Methods in Physics (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. Prereq or Coreq: MATH 224.


PHYS 301. Advanced Laboratory Physics I (3)
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. Recommended preparation: PHYS 204.
Coreq: PHYS 303.


PHYS 301B. Advanced Laboratory Physics for B.A. (2)
This course is the second half of the laboratory requirement for the B.A. degree in Physics and is the second half of PHYS 301. Problem solving approach with a range of available experiments in classical and modern physics. Emphasis on experimental technique and data and error analysis, and the formal presentation of the work performed. Recommended preparation: PHYS 203 or PHYS 203A and concurrent enrollment in PHYS 303.


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. Recommended preparation: PHYS 301.


PHYS 303. Advanced Laboratory Physics Seminar (1)
Students will discuss various issues associated with physics research. These include how to judge the quality of an experiment and data (error analysis), how to present your work in written and oral formats, safety and ethical concerns in the laboratory. Recommended preparation: PHYS 250.
SAGES Dept Seminar


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. Recommended preparation: 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. PHYS 415 for graduate students in engineering and science. (May not be taken for departmental credit by graduate students in the Department of Physics.) Prerequisite may be waived with consent of department. Recommended preparation for PHYS 415: PHYS 331.
Offered as PHYS 315 and PHYS 415.
Prereq: PHYS 331 or PHYS 481.


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 or PHYS 481.


PHYS 317. Engineering Physics Laboratory I (3)
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. Coreq: PHYS 303.


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.
Offered as PHYS 326 and PHYS 426.
Prereq: PHYS 122 or PHYS 124.


PHYS 327. Quantum Electronics (3)
An introduction to theoretical and practical quantum electronics covering topics in quantum optics, laser physics, and nonlinear optics. Topics to be addressed include the physics of two-level quantum systems including the density matrix formalism, rate equations, and semiclassical radiation theory; laser operation including oscillation, gain, resonator optics, transverse and longitudinal modes, Q-switching, mode-locking, and coherence; and nonlinear optics including the nonlinear susceptibility, parametric interactions, stimulated processes, and self-action. Recommended preparation for PHYS 427: PHYS 331 or PHYS 481.
Offered as PHYS 327 and PHYS 427.
Prereq: PHYS 331 or PHYS 481.


PHYS 328. Cosmology and the Structure of the Universe (3)
Distances to galaxies. The content of the distant universe. Large scale structure and galaxy clusters. Physical cosmology. Structure and galaxy formation and evolution. Testing cosmological models.
Offered as ASTR 328, PHYS 328, ASTR 428, and PHYS 428.
Prereq: ASTR 222.


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 336. Modern Cosmology (3)
An introduction to modern cosmology and an exploration of current topics in the field. The first half of the course will cover the mathematical and physical basis of cosmology, while the second will delve into current questions and the observations that constrain them.
Offered as PHYS 336 and PHYS 436.
Prereq: PHYS 221.


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.
Offered as PHYS 339 and PHYS 439.


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. Additional work required for graduate students.
Offered as PHYS 349 and PHYS 449.
Prereq: MATH 224.


PHYS 350. Methods of Mathematical Physics II (3)
(Continuation of PHYS 349/449.) Special functions, orthogonal polynomials, partial differential equations, linear operators, group theory, tensors, selected specials topics. Additional work required for graduate students.
Offered as PHYS 350 and PHYS 450.
Prereq: PHYS 349.


PHYS 351. Senior Physics Project (2)
A two semester course required for senior BS and BA physics majors. Students pursue a project based on experimental, theoretical or teaching research under the supervision of a physics faculty member, a faculty member from another Case Western Reserve department or a research scientist or engineer from another institution. A departmental senior project committee must approve all project proposals and this same committee will receive regular oral and written progress reports. Final results are presented at the end of the second semester as a paper in a style suitable for publication in a professional journal as well as an oral report in a public symposium.
Prereq: PHYS 303. Coreq: PHYS 352.
SAGES Senior Cap


PHYS 352. Senior Physics Project Seminar (1)
This two semester seminar is taken concurrently with the student’s two semester senior project. Students meet weekly to discuss their projects and the research experience. The class will include dialogues about professional issues such as ethics, graduate school, jobs, funding, professional organizations, public obligations, writing and speaking. Assignments include proposals, progress reports and posters.
Coreq: PHYS 351 or PHYS 353.
SAGES Dept Seminar


PHYS 353. Senior Engineering Physics Project (2)
A two semester course required for BSE Engineering Physics majors. Students are expected to complete a research project in their concentration area under the supervision of a faculty member in science, engineering, or, with approval, a researcher at another institution or company. The project may be calculational, experimental or theoretical, and will address both the underlying physics and appropriate engineering and design principles. A program senior project committee must approve all project proposals and will receive regular oral and written progress reports. Final results are presented at the end of the second semester as a paper in a style suitable for publication in a professional journal as well as an oral report in a public symposium.
Prereq: PHYS 318. Coreq: PHYS 352.
SAGES Senior Cap


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. Additional work required for graduate students.
Offered as PHYS 365 and PHYS 465.


PHYS 390. Undergraduate Research in Physics (3–6)
Research conducted under the supervision of a faculty member in the Department of Physics. Arrangements must be made with a faculty member and a written description of these arrangements must be submitted to and approved by the department before a permit will be issued to register for this course. A final report must be supplied to the department at the end of the semester.


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. Recommended preparation: PHYS 413 or consent of department.


PHYS 415. 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. PHYS 415 is for graduate students in engineering and science. (May not be taken for departmental credit by graduate students in the Department of Physics without prior approval.) Prerequisite may be waived with consent of department. Recommended preparation for PHYS 415: PHYS 331.
Offered as PHYS 315 and PHYS 415.


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)
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.
Offered as PHYS 326 and PHYS 426.


PHYS 427. Quantum Electronics (3)
An introduction to theoretical and practical quantum electronics covering topics in quantum optics, laser physics, and nonlinear optics. Topics to be addressed include the physics of two-level quantum systems including the density matrix formalism, rate equations, and semiclassical radiation theory; laser operation including oscillation, gain, resonator optics, transverse and longitudinal modes, Q-switching, mode-locking, and coherence; and nonlinear optics including the nonlinear susceptibility, parametric interactions, stimulated processes, and self-action. Recommended preparation for PHYS 427: PHYS 331 or PHYS 481.
Offered as PHYS 327 and PHYS 427.


PHYS 428. Cosmology and the Structure of the Universe (3)
Distances to galaxies. The content of the distant universe. Large scale structure and galaxy clusters. Physical cosmology. Structure and galaxy formation and evolution. Testing cosmological models.
Offered as ASTR 328, PHYS 328, ASTR 428, and PHYS 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. Recommended preparation: PHYS 122 or PHYS 124 or EBME 410.
Offered as EBME 431 and PHYS 431.


PHYS 436. Modern Cosmology (3)
An introduction to modern cosmology and an exploration of current topics in the field. The first half of the course will cover the mathematical and physical basis of cosmology, while the second will delve into current questions and the observations that constrain them.
Offered as PHYS 336 and PHYS 436.


PHYS 439. 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.
Offered as PHYS 339 and PHYS 439.


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.


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. Recommended preparation: PHYS 441.


PHYS 447. Physics of Liquid Crystals (3)
Molecular interactions; order parameters; electrical, optical, and magnetic properties of the nematic phase; phase transitions; elastic and viscous properties; biaxiality; lyotropic phases; the role of chirality; defects in liquid crystals; interactions at interfaces; smectic order and smectic polymorphism; ferroelectricity, antiferroelectricity, and ferrielectricity; phases associated with complex molecular architectures; free-standing films and quasi 2D behavior; experimental techniques, including nanomanipulation; and liquid crystal devices.


PHYS 449. 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. Additional work required for graduate students.
Offered as PHYS 349 and PHYS 449.


PHYS 450. Methods of Mathematical Physics II (3)
(Continuation of PHYS 349/449.) Special functions, orthogonal polynomials, partial differential equations, linear operators, group theory, tensors, selected specials topics. Additional work required for graduate students.
Offered as PHYS 350 and PHYS 450.


PHYS 451. Empirical Foundations of the Standard Model (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.


PHYS 460. Advanced Topics in NMR Imaging (3)
Frontier issues in understanding the practical aspects of NMR imaging. Theoretical descriptions are accompanied by specific examples of pulse sequences, and basic engineering considerations in MRI system design. Emphasis is placed on implications and trade-offs in MRI pulse sequence design from real-world versus theoretical perspectives. Recommended preparation: EBME 431 or PHYS 431.
Offered as EBME 460 and PHYS 460.
Prereq: Graduate standing or Undergraduate with Junior or Senior standing and a cumulative GPA or 3.2 or above.


PHYS 465. 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 experimental tests will be discussed. An introduction to cosmology will be given. Additional work required for graduate students.
Offered as PHYS 365 and PHYS 465.


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.


PHYS 482. Quantum Mechanics II (3)
Continuation of PHYS 481, including quantum field theory. Prerequisite may be waived with consent of department. Recommended preparation: PHYS 481 or consent of department.


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.


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. Recommended preparation: PHYS 491.


PHYS 493. Feasibility and Technology Analysis (3)
This course provides the tools scientists need to determine whether a technology is ready for commercialization. These tools include (but are not limited to): financial analysis, market analysis, industry analysis, technology analysis, intellectual property protection, the entrepreneurial process and culture, an introduction to entrepreneurial strategy and new venture financing. Deliverables will include a technology feasibility analysis on a possible application in the student’s scientific area.
Offered as BIOL 493, CHEM 493, and PHYS 493.


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. Recommended preparation: 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.


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. Recommended preparation: 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. Recommended preparation: PHYS 442.


PHYS 561. Statistical Methods for Scientific Research (3)
This course will introduce students to traditional and novel statistical methods useful for experimental scientists. The emphasis will be on understanding theory and techniques that are used in research. We shall consider problems from astronomy, biology and particle-astro physics. The course will also cover topics of interest to engineers. Current collaborative research problems of the instructor will motivate some of the advanced statistical techniques. Topics to be covered include: Measuring uncertainty and probability distributions (low and high dimensional); point and interval estimation; curve fitting; likelihood and score type tests required for an experiment; posterior probabilities; dealing with small samples (which arise in search experiments); over- and under-coverage using confidence belts; and Monte Carlo simulation methods for planning experiments and evaluating the statistical significance of the results. “GGobi” and “R” open source software will be used for visualization (via dynamic and interactive graphics) and exploring high-dimensional data.
Offered as BIOL 561 and PHYS 561.


PHYS 566. Cosmology (3)
Introduction to our current understanding of the origin and evolution of the Universe and connection 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.


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. Recommended preparation: 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.


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


PHYS 601. Research in Physics (1–9)


PHYS 651. Thesis M.S. (1–9)


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


PHYS 701. Dissertation Ph.D. (1–9)
Prereq: Predoctoral research consent or advanced to Ph.D. candidacy milestone.