## Department of Mathematics

Chairperson: | Bertrand, Florian J. |

Professor Emeritus: | Muwafi, Amin |

Professors: | Abi-Khuzam, Faruk F.; Abu-Khuzam, Hazar M.; Khuri-Makdisi, Kamal F.; Nassif, Nabil R.; Shayya, Bassam H. |

Associate Professors: | Alhakim, Abbas M.; Bertrand, Florian J.; Della Sala, Giuseppe; El Khoury, Sabine S.; Raji, Wissam V.; Tlas, Tamer M. |

Assistant Professors: | Andrist, Rafael; Aoun, Richard G.; Monni, Stefano; Moufawad, Sophie M.; Roy, Tristan Cyrus; Sabra, Ahmad A.; Taati, Siamak; Taghavi-Chabert, Arman |

Lecturers: | Fayyad, Dolly J.; Mroue, Fatima K.; Yamani, Hossam A. |

Instructors: | Ashkar, Alice N.; Bou Eid, Michella J.; Fleihan, Najwa S.; Itani-Hatab, Maha S.; Khachadourian, Zadour A.; Nassif, Rana G.; Rahhal, Lina A.; Tannous, Joumana A. |

The Department of Mathematics offers programs leading to the degrees of Bachelor of Science (BS) and Bachelor of Arts (BA) in Mathematics, Applied Mathematics, and Statistics. It also offers programs leading to the degree of Master of Science (MS) in Mathematics.

### Mission Statement

The Department of Mathematics subscribes to the view that “Mathematics as an expression of the Human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection.” Through the different fields of Algebra, Analysis, Geometry, Number Theory, Statistics, and Applied Mathematics, the department aims to train students in quantitative reasoning, in dealing with abstraction, in enhancing their sense of formalism, in tackling mathematical problems, and in writing clear and rigorous proofs. The training will help the student acquire a sound balance between abstract generality and colorful individuality, and between the qualitative and quantitative aspects of Mathematics. It also will help the student master the theory through a clear comprehension of the theoretical aspects without losing sight of applications. Graduates of the Mathematics Department should be well placed to work in various professional areas of Education, Finance, Information Technology, or for pursuing graduate studies in Mathematics or a related area.

### BA or BS in Mathematics

The department requires 9 credits in courses numbered 200 or above in the sciences for the BS degree, and at least 9 credits in courses numbered 200 or above in the arts (Humanities or Social Sciences) for the BA degree. In both cases, it is recommended that at least 6 of these 9 credits be in disciplines that use quantitative methods and be chosen in conjunction with the student’s faculty advisor. In addition, the departmental requirements are as follows: MATH 201, MATH 210, MATH 214, MATH 219, MATH 223, MATH 227, MATH 233, MATH 241, and at least one of MATH 220 or MATH 242, and 12 more credits chosen from MATH 202 and mathematics courses numbered 213 or above. In addition, students must take CMPS 201 or 203, which is a first course in programming. Students should note that MATH 211 and MATH 212 do not count towards the major course requirements for the BS and BA in Mathematics. For pure mathematics major, MATH 211 and MATH 212 may be taken as free electives.

A transfer student who has done well in MATH 218 can count it toward the mathematics major instead of MATH 219, subject to departmental approval. In such a case, the department will usually require the student to take MATH 220.

Students wishing to pursue graduate study in mathematics are strongly urged to take MATH 220, MATH 242, and MATH 213 or MATH 215. They may also want to consider taking one or more graduate course in their senior year. Students with an interest in applied mathematics are urged to take MATH 202, MATH 220, MATH 224, MATH 251, and MATH 234, and to choose their additional courses from those that include a significant use of mathematical techniques. Students interested in high school teaching are encouraged to include MATH 202, MATH 213, MATH 251, and MATH 261 among their courses.

#### University General Education Requirements

The General Education requirements are 6 credits in English Communication Skills and 3 credits in Arabic Communication skills, 12 credits in the Humanities, 6 credits in Social Sciences (covered by the departmental requirements for BA), 6 credits in Natural Sciences (covered by the departmental requirements for BS), and 3 credits in Quantitative Thought (covered as a Math major).

### Minor in Mathematics

A minor in mathematics requires 18 credits which include MATH 201, MATH 210, MATH 218 or MATH 219, and 9 more credits in mathematics courses numbered MATH 202, MATH 211 or above, or statistics courses numbered STAT 230 or above. Note: A student who seeks to obtain a minor in Mathematics can elect to have a minor in pure mathematics or a minor in applied mathematics, but not both.

### BA or BS in Applied Mathematics

A student opting for the program in Applied Mathematics can earn either a BA or a BS degree. The science requirements for the BS are fulfilled by at least 2 science courses (or 6 science credits) chosen in departments in the FAS; the arts requirements for the BA are fulfilled by 2 courses (6 arts credits) chosen in departments in the FAS. The Mathematics requirement is the same for both degrees and consists of 39 credits in Mathematics courses as follows:

MATH 201, MATH 202, MATH 210, MATH 212, MATH 218 or MATH 219, MATH 223, STAT 233, MATH 251, MATH 281, at least one of MATH 224 and MATH 227, and at least 9 additional credits numbered 211 and above. These additional credits must include at least two of the following three areas:

- Analysis and Geometry: MATH 213, MATH 214, MATH 215, MATH 225, MATH 224, MATH 227
- Discrete Math and Algebra: MATH 211, MATH 220, MATH 241, MATH 242, MATH 261
- Probability and Statistics: STAT 231, STAT 234 or higher

In addition, the student must take CMPS 201 or 203, which is a first course in programming. Moreover, 9 credits must be chosen in one applied discipline or track from the following list, as detailed in the matrices of the BA and BS in Applied Mathematics:

- Computer Science
- Economics/Econometrics
- Natural Sciences
- Engineering
- Health Sciences
- Statistics

#### University General Education Requirements

The General Education requirements are 6 credits in English Communication Skills and 3 credits in Arabic Communication Skills, 12 credits in the Humanities, 6 credits in Social Sciences (covered by the departmental requirements for BA), 6 credits in Natural Sciences (covered by the departmental requirements for BS), and 3 credits in Quantitative Thought (covered as a Math major).

### Minor in Applied Mathematics

A minor in Applied Mathematics requires 18 credits which include MATH 201, MATH 210, either MATH 218 or MATH 219, and 9 more credits in mathematics courses numbered MATH 202, MATH 211 or above, or statistics courses numbered STAT 230 or above.

### BA or BS in Statistics

The department requires 6 credits in courses numbered 200 or above in the natural sciences for the BS degree, and at least 9 credits in courses numbered 200 or above in the arts (humanities or social sciences) for the BA degree. In both cases, it is recommended that at least 6 of these 9 credits be in disciplines that use quantitative methods and be chosen in conjunction with the student’s faculty advisor. The Quantitative Thought requirements are the same for both degrees and consists of 45 credits as follows:

- In statistics: STAT 231, STAT 233, STAT 234, STAT 235, STAT 239, and at least one of STAT 237 or STAT 238
- In mathematics: MATH 201, MATH 210, MATH 218/219, MATH 251
- In computer science: 201 or 203, CMPS 244
- 9 credits must be chosen from the following list of courses:
- statistics and data science: STAT 236, STAT 237 or STAT 238, STAT 333, STAT 338, STAT 348
- mathematics: MATH 211, MATH 281, MATH 351
- computer science: CMPS 262

Moreover, 9 credits must be chosen from the following list of courses from applied disciplines or pure mathematics:

**computer science:**CMPS 202, CMPS 261, CMPS 391, CMPS 392**industrial engineering:**INDE 301, INDE 302**mathematics:**MATH 220, MATH 223, MATH 224, MATH 225, MATH 227, MATH 241, MATH 261, MATH 306

It is to be noted that STAT 201, STAT 203, STAT 210, and STAT 230 are mainly service courses. STAT 201 is essentially equivalent to EDUC 227, and STAT 210 is essentially equivalent to ECON 213. Students can get credit for only one of the following: STAT 201, STAT 203, STAT 210, STAT 230, STAT 233, EDUC 227, ECON 213.

#### University General Education Requirements

The General Education requirements are 6 credits in English Communication Skills and 3 credits in Arabic Communication Skills, 12 credits in the Humanities, 6 credits in Social Sciences (covered by the departmental requirements for BA), 6 credits in Natural Sciences (covered by the departmental requirements for BS), and 3 credits in Quantitative Thought (covered as a Math major).

### Minor in Statistics

A minor in statistics can be pursued via one of two options:

- Option 1: MATH 201, MATH 218 or MATH 219, STAT 231, STAT 233, STAT 234 and

STAT 235. - Option 2: MATH 201, MATH 218 or MATH 219, STAT 230, STAT 234, STAT 235 and one additional advanced course in statistical sciences to be selected with the approval of the department chair. A list of recommended courses includes: STAT 236 or above, EPHD 320, EPHD 321, EECE 603, EECE 641, EECE 644, EECE 667, EECE 693, INDE 303, and INDE 430.

### Course Descriptions

#### BA in Mathematics: 39 Credits in Mathematics

Modes of Analysis | English and Arabic (9) | Humanities (12+3) | Social Sciences (6) | Natural Sciences (6) | Quantitative Thought (27+12+3) |

Lecture Courses (9+15+6+6+42) | Required Arabic course (3) Required English courses (usually 6 cr.): ENGL 203(3), and/or 204(3), as determined by placement. | Required credits in the humanities: 12 credits includ- ing 6 credits from CVSP. Humanities or social science elective (3). | Required courses (6) | Required electives (6) | Required mathematics courses (27): MATH 201(3), 210(3), 214(3), 219(3), 223(3), 227(3), 233(3), 241(3), and at least one of 220(3) or 242(3). Required mathematics electives (12): MATH 202(3), and/or mathematics courses numbered 213 and above. Required programming course (3): CMPS 201 or 203 |

#### BS in Mathematics: 39 Credits in Mathematics

Modes of Analysis | English and Arabic (9) | Humanities (12) | Social Sciences (6) | Natural Sciences (9) | Quantitative Thought (27+12+3) |

Lecture Courses (9+12+6+9+42) | Required Arabic course (3) Required English courses (usu- ally 6 cr.): ENGL 203(3), 204(3), as determined by placement. Required credits in the humanities: 12 credits includ- ing 6 credits from CVSP. | Required credits in the humanities: 12 credits includ- ing 6 credits from CVSP. | Required courses (6) | Required elec- tives (9) | Required mathemat- ics courses (27): MATH 201(3), 210(3), 214(3), 219(3), 223(3), 227(3), 233(3), 241(3), and at least one of 220(3) or 242(3) Elective mathemat- ics courses (12): MATH 202 (3), and/or courses numbered 213 and above. Required programming course (3): CMPS 201 or 203 |

#### BA in Applied Mathematics: 39 Credits in Mathematics

English and Arabic (9) | Humanities (12) | Social Sciences (12) | Sciences (6) | Quantitative Thought (39+3) | Free Electives (9) |

Required Arabic course (3) Required English courses (usually 6): ENGL 203(3), and/or 204(3), as determined by placement. | Required credits in the Humani- ties: 12 credits including 6 credits from CVSP. | 6 credits in Social sciences. Must include one Economics course (3): ECON 211 6 credits in Arts or Social sciences. | 6 credits in sciences. | Required Applied Mathematics courses (30): MATH 201, 202, 210, 212, 218 or 219, 223, 233, 251, 281, and at least one of 224 / 227. Required Mathematics electives (9): MATH courses numbered 211 and above. These credits must include at least two of the following three areas: » Analysis and Geometry » Discrete Math and Algebra » Probability and Statistics Required Computer Science course (3): CMPS 201 | Must include 9 credits chosen in one of the follow- ing concentration areas: Computer Science: CMPS 202, 220, 214, 215, 231, 261 Economics/Econo- metrics: ECON 212, 214, 215, 217, 218, 239, 243 Engineering Health Sciences: EPHD 203, 203A, 227, 213 or STAT 236. Statistics: STAT 231, 234, 235, 236, 237, 238. |

#### BS in Applied Mathematics: 39 Credits in Mathematics

English and Arabic (9) | Humanities (12) | Social Sciences (6) | Sciences (6) | Quantitative Thought (39+3) | Free Electives (15) |

Required Arabic course (3) Required English courses (usually 6): ENGL 203(3), and/or 204(3), as determined by placement. | Required credits in the Humani- ties: 12 credits including 6 credits from CVSP. | Must include one Economics course (3): ECON 211. | 6 credits in sciences. | Required
Applied Mathematics courses (30): MATH 201, 202, 210, 212, 218 or 219,
223, 233, 251, 281, and at least one of 224 / 227. Required Mathematics electives (9): MATH courses numbered 211 and above. These credits must include at least two of the following three areas: » Analysis and Geometry » Discrete Math and Algebra » Probability and Statistics Required Computer Science course (3): CMPS 201 or 203 | Must include 9 credits chosen in one of the follow- ing concentration areas: Computer Science: CMPS 202, 220, 214, 215, 231, 261 Economics/Econo- metrics: ECON 212, 214, 215, 217, 218, 239, 243 Natural Sciences: PHYS 210, 211, 212, 217, 235, 236; CHEM 201, 217, 218. Engineering Health Sciences: EPHD 203, 203A, 227, 213 or STAT 236. Statistics: STAT 231, 234, 235, 236, 237, 238. |

### Course Descriptions

#### BA in Statistics: 36 Credits in Statistics/Mathematics

English and Arabic (9) | Humanities (12+3) | Social Sciences (6) | Natural Sciences (6) | Quantitative Thought (12+18+6+9) | Free Electives (9) |

Required Arabic course (3) Required English courses (usually 6 cr.): ENGL 203(3), 204(3), as determined by placement. | Required credits in the humani- ties: 12 credits including 6 credits from CVSP. Humanities or social science elective (3) | Required courses (6) | Required electives (6) | Required mathematics courses (12): MATH 201(3), 210(3), 218 or 219(3), 251(3) Required statistics courses and data science (18): STAT 231(3), 233(3), 234(3), 235(3), 239(3) and at least one of 237(3) of 238(3) Required computer sciences courses (6): CMPS 201 or 203(3), CMPS 244(3) Electives MATH/ STAT/CMPS (9): STAT 236(3), STAT 237(3) or STAT 238(3), STAT 333(3), STAT 338(3), STAT 348(3), MATH 211(3), MATH 281(3), MATH 351(3), CMPS 262(3) | 9 credits from the following list: computer science: CMPS 202(3), CMPS 261(3), CMPS 391(3), CMPS 392(3) industrial engineering: INDE 301(3), INDE 302(3) mathematics: MATH 220(3), MATH 223(3), MATH 224(3), MATH 225(3), MATH 227(3), MATH 241(3), MATH 261(3), MATH 306(3) |

#### BA in Statistics: 36 Credits in Statistics/Mathematics

English and Arabic (9) | Humanities (12) | Social Sciences (6) | Natural Sciences (6) | Quantitative Thought (12+18+6+9) | Free Electives (9) |

Required Arabic course (3) Required English courses (usually 6 cr.): ENGL 203(3), 204(3), as determined by placement. | Required credits in the humani- ties: 12 credits including 6 credits from CVSP. | Required courses (6) | Required electives (6) | Required mathematics courses (12): MATH 201(3), 210(3), 218 or 219(3), 251(3) Required statistics courses and data science (18): STAT 231(3), 233(3), 234(3), 235(3), 239(3) and at least one of 237(3) of 238(3) Required computer sciences courses (6): CMPS 201 or 203(3), CMPS 244(3) Electives MATH/ STAT/CMPS (9): STAT 236(3), STAT 237(3) or STAT 238(3), STAT 333(3), STAT 338(3), STAT 348(3), MATH 211(3), MATH 281(3), MATH 351(3), CMPS 262(3) | 9 credits from the following list: computer science: CMPS 202(3), CMPS 261(3), CMPS 391(3), CMPS 392(3) industrial engineering: INDE 301(3), INDE 302(3) mathematics: MATH 220(3), MATH 223(3), MATH 224(3), MATH 225(3), MATH 227(3), MATH 241(3), MATH 261(3), MAT |