A cognate gives you extra flexibility. For each Math program, you are required to take a certain number of math electives. You are allowed the flexibility to substitute at most *one* cognate for a Math elective; students double-majoring in math and another subject may use two cognates for Math electives. All cognates require the approval of the Undergraduate Chair <UGradChair AT math.upenn.edu> and must be part of a well planned selection of electives within the Major.

The lists below are only examples. To see a current complete list of courses approved as cognates, search Path At Penn for courses with the course attribute "**Math Outside Math Related (AMOR)**". For a current complete list of courses counting inside the Math Department, look for courses with course attribute "**MATH Elective (AMMR)**."

#### Some Courses Often Approved as COGNATES (Major or Minor)

- Astronomy 011, 012
- Biology 2150, 4231, 4235, 4536/5535 and 5860
- Computer and Information Science 320 The courses CIS 110, 120 and 121 cannot be counted as cognates.
- Economics 104, 212, 242, 245, 222 (old number: Econ 115).
- Finance 205, 206, 235
- Genomics and Computational Biology 011, 012
- Mechanical Engineering 210, 211
- Electrical and Systems Engineering 302 (beginning in 2019 this is replaced by 402)
- Philosophy 006, 411, 413 (
*not*Phil 005) - Physics 0140, 0150, 0151, 0170, 0171
- Statistics 4310, 4760

#### Some courses often approved as COGNATES for Mathematics Minors

#### Courses counting as *inside* the Math. Dept.

The following courses count as being * inside * the Math. Department as far as the Major or Minor is concerned. This means that that counting them toward a Math Minor or Major does not change the number of cognate courses above which can also be counted.

- Statistics 4300, 4320, 4330, and 5120 or Systems Engineering ESE 210, 3010, ESE 325, or Econ 2300, or ENM 375, 503 or BIOL 431, 485.
Note: Since some courses have similar content, there are restrictions on courses in the following list:

**List A:**Math 4300 Stat 4300 CIS 2610 Econ 2300 Systems 3010 ENM 3750, 5030*Math Major or Minor Elective Credit*: At most one of these from List A.

*Cognate*: A second course from list A can count as a Cognate -- but not as a Math elective

In applying the above rules, students may substitute Stat 5100 for either Math 4300 or Stat 4300, and Stat 5110 for Stat 4310. - Computer and Information Science 2610, 2620, 5110.
- Electrical and Systems Engineering 530, 630, 632, 674.
- Engineering Mathematics 251, 321, 375, 503.
- OPIM 930.
- STAT 5410

#### Some courses which are *not* approved as COGNATES

for Mathematics Majors or Minors

- OPIM 101 and 102.