physics

physicsundergradmathematics and physics

The Bachelor of Science Degree in Mathematics and Physics

(updated on June 12, 2012)

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. A graduate in this program will understand theory and applications in both mathematics and physics and may endeavor to work and make advances in either field. To a close approximation, the challenging coursework corresponds to combining the mathematics and physics cores, with the physics laboratory cluster replaced by a single senior-year laboratory semester.

Also required is a two-semester senior research project under the guidance of a faculty member from either department. The General Education Requirements (or SAGES ), a computer science course, a chemistry sequence and laboratory, and open electives round out the curriculum. A student in this program may use either of two official advisors, one from each department, who would also constitute a committee for the administration of the degree and the approval of curriculum petitions. Not only an excellent preparation for either mathematics or physics graduate schools, the B.S. in Mathematics and Physics is quite suitable for careers in industry. The breadth of its training, from pure mathematical analysis to a hands-on instrumentation experience, is uniquely attractive. It is appropriate for computational science and professional and graduate schools where an excellent education in logical thinking and an in-depth, broad technical problem-solving ability are prized.

The total number of required credits is 126 (35 MATH, 38 PHYS, 6 senior project, 11-13 ENGR and CHEM, with 6 of the normal GER credits satisfied by MATH and PHYS courses). There are about 15 credits of open electives. The table below lists the required technical courses.

Course

  Yr* Credit

Course

 

Yr*

Credit

PHYS 121 or 123

Intro Mech

1

4

PHYS 313

Thermo/StatMech

3F

3

PHYS 122 or 124

Intro E&M

1

4

PHYS 331 or 481

Quantum I

3F

3

ENGR 131

CompProg

1

3

PHYS 332 or 482

Quantum II

3S

3

CHEM 105 or 111**

Intro Chem I

1

3 (4)

***

MP group II

3

3

CHEM 106 or ENGR 145**

Intro Chem II

1

3 (4)

***

MP group III

3

3

       

MATH 321

Analysis I

3F

3

MATH 121 or 123

Calculus I

1

4

MATH 322

Analysis II

3S

3

MATH 122 or 124

Calculus II

1

4

MATH 324

Complex Var

3S

3

PHYS 221

Modern

2

3

       

***

MP group I

2

3

PHYS 3XX****

Advanced Physics

4

3

PHYS 310

Classical Mechanics

2S

3

** *

MP group IV

4

3

MATH 223 or 227

Calculus III

2

3

MATH/PHYS 351*****

Senior Project

4

4

MATH 224

Diff. Eqs

2

3

*****

SAGES DeptSem

3/4
3

MATH 307

Algebra I

2F

3

PHYS 423 or (324+325)

Adv Elec & Mag

4F or (3S+4F)

3 or 6

MATH 308

Algebra II

2S

3

PHYS 472

Grad Lab

4S

3

* course usually taken in this year, offered only in F = fall, S = spring

** If approved by the M&P committee, other science sequence courses may be substituted.

*** 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 advisory committee and are thereby 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 advisory committee.

**** An advanced physics course to be selected from the following list:

PHYS 315, 316, 326, 327, 328, 336, 365.

***** Students may take their SAGES departmental seminars from either the Department of Mathematics or the Department of Physics but must then take their SAGES capstone course from the same department. PHYS 303 + PHYS 352 satisfy the SAGES departmental seminar requirement while PHYS 351 is an approved SAGES capstone course.


Typical Schedule

(* indicates options, 4-5 of the Open Elective courses are normally used to satisfy GER Breadth Requirements.)

 

Fall
(Class Hours-Lab Hours-Credit Hours)

Spring
(Class Hours-Lab Hours-Credit Hours)

First
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)
FS** SAGES First Seminar (4-0-4)
Open* Elective = PHYS 166 Physics Today & Tomow. (1-0-1)
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)
ENGR 131 Elementary Computer Programming (2-2-3)
US** University Seminar (3-0-3)
PHED *** Physical Education Activities (0-3-0)

Second 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)
Open* Elective (3-0-3)
Open* Elective (2-0-2)

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)
Open* Elective (3-0-3)

Third 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)
Open* Elective (3-0-3)
Open* 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)
Open* Elective (3-0-3) or
   PHYS 324 Electricity & Magnetism II (3-0-3)

Fourth Year

SAGES Capstone (3-0-3)
PHYS 3** Physics Elective (3-0-3)
PHYS 423Graduate Electricity & Magnetism (3-0-3) or
   PHYS 325 Electricity & Magneitsm II (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)
Open* Elective (3-0-3)
Open* Elective (3-0-3)

Total Credits required for graduation 126


For more information, contact Prof. Gary Chottiner, gary.chottiner@cwru.edu or Prof. Harsh Mathur, hxm7@po.cwru.edu in the Department of Physics or contact the academic representative of the Department of Mathematics.


Return to PHYSICS UNDERGRADUATE STUDIES