The Bachelor of Science Degree in Mathematics and Physics
(updated on April 15, 2015)
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 senioryear laboratory semester.
Also required is a twosemester 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 handson 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 indepth, broad technical problemsolving ability are prized.
The total number of required credits is 126 (35 MATH, 38 PHYS, 6 senior project, 1113 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, 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) 
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.
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