The Bachelor of Science Degree in Mathematics and Physics
(updated on September 2, 2015)
In contrast to an applied mathematics degree or the B.S. in Physics with a Mathematical Physics Concentration, the B.S. in Mathematics and Physics 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 in either field. The challenging coursework is similar to combining the mathematics and physics cores, with the physics laboratory cluster replaced by a single advanced laboratory course.
The College's General Education Requirements, a computer science course, a chemistry sequence plus 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. The B.S. in Mathematics and Physics is not only an excellent preparation for either mathematics or physics graduate schools, it is also suitable for careers in industry and government. The breadth of training, from pure mathematical analysis to a handson laboratory experience, is uniquely attractive. It is appropriate for computational science and professional and graduate schools where an excellent education in logical thinking and an indepth, broad technical problemsolving ability are prized.
The total number of required credits is 126 (29 MATH, 32 PHYS, 1113 ENGR and CHEM, with 6 of the normal GER credits satisfied by MATH and PHYS courses). There are 56 credits of electives of various types. The table below lists the required courses for students entering in the class of fall 2015. Students who matriculated to CWRU before fall 2015 should consult the General Bulletin for the year they started at CWRU for program requirements that apply for them.
Course 
Yr*

Credit 
Course 
Yr* 
Credit  
PHYS 121 or 123 
Intro Mech 
1 
4 
MATH 121 or 123 
Calculus I 
1 
4 
PHYS 122 or 124 
Intro E&M 
1 
4 
MATH 122 or 124 
Calculus II 
1 
4 
PHYS 221 
Modern 
2 
3 
MATH 223 or 227 
Calculus III 
2 
3 
PHYS 310 
Classical Mechanics 
2S 
3 
MATH 224 
Diff. Eqs 
2 
3 
PHYS 313 
Thermo/StatMech 
3F 
3 
MATH 307 
Algebra I 
2F 
3 
PHYS 331 or 481 
Quantum I 
3F 
3 
MATH 308 
Algebra II 
2S 
3 
PHYS 332 or 482 
Quantum II 
3S 
3 
MATH 321 
Analysis I 
3F 
3 
PHYS 423 or (324+325) 
Adv Elec & Mag 
4F or (3S+4F) 
3 or 6 
MATH 322 
Analysis II 
3S 
3 
PHYS 472 
Grad Lab 
4S 
3 
MATH 324 
Complex Var 
3S 
3 
PHYS 3XX** 
Advanced Physics 
4 
3 
SUBTOTAL 
29


SUBTOTAL 
32


MATH/PHYS elective*** 
MP group I 
2 
3 
SAGES 1st/USEM 
1&2

10


MATH/PHYS elective*** 
MP group II 
3 
3 
SAGES dept. sem.***** 
3

3


MATH/PHYS elective*** 
MP group III 
3 
3 
SAGES capstone***** 
4

34


MATH/PHYS elective*** 
MP group IV 
4 
3 
Breadth Req.****** 

12


SUBTOTAL 
12

Open electives******* 

16


CHEM 105 or 111**** 
Intro Chem I 
1 
3 (4) 
PHED 2 sem. 

0


CHEM 106 or ENGR 145**** 
Intro Chem II 
1 
3 (4) 
SUBTOTAL 
44


ENGR 131 
CompProg 
1 
3 

SUBTOTAL 
9

TOTAL 
126

* course usually taken in this year, 'F' or 'S' indicates the course is usually offered only in fall or spring. Other courses are either offered both semesters (100 & 200 level) or on no fixed schedule.
** An advanced physics course to be selected from the following list: PHYS 315, 316, 320, 326, 327, 328, 336, 365.
*** 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. These courses 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.
**** If approved by the M&P committee, other science sequence courses may be substituted.
***** Students are encouraged to take either the Math or Physics SAGES departmental seminar and capstone courses but should then take both courses from the same department. The physics departmental seminar consists of 1 credit of PHYS 303 plus two credits of PHYS 352.
****** 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.
******* The number of open electives may vary depending on course choices made by the student, as determined by the degree requirement that the total number of credits be at least 126.
Typical Schedule
(* indicates options, 45 of the Open Elective courses are normally used to satisfy GER Breadth Requirements.)

Fall 
Spring 
First 
PHYS 121 or PHYS 123 Mechanics
(434) 
PHYS 122 or PHYS 124 Electricity &
Magnetism (434) 
Second Year 
PHYS 221 General Physics III
Modern Physics (303) 
PHYS 310 Classical Mechanics (303) 
Third Year 
PHYS 313 Thermodynamics &
Statistical Mech. (303) 
PHYS 332 or 482 Quantum Mechanics
II (303) 
Fourth Year 
SAGES Capstone (303) 
PHYS 472 Graduate Laboratory (084) 
For more information, contact Prof. Harsh Mathur, hxm7@po.cwru.edu or Prof. Gary Chottiner, gary.chottiner@cwru.edu in the Department of Physics or contact the academic representative of the Department of Mathematics.
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