## Catalog Description of Major in Mathematics

**Degree:** Bachelor of Science

**Major:** Mathematics

**Emphasis:**

In addition to meeting University and College requirements, students earning a B.S. in Mathematics must fulfill the core departmental requirements and choose from one of three emphases: General, Applied Mathematics or Actuarial Science and Insurance. Students must earn a grade of C or better in all departmental and nondepartmental courses for any degree in the Department of Mathematical Sciences.

*Core Departmental Requirements*

MATH 191 | Calculus and Analytic Geometry I |

MATH 192 | Calculus and Analytic Geometry II |

MATH 291 | Calculus and Analytic Geometry III |

MATH 279 | Introduction to Finite Mathematics |

MATH 280 | Introduction to Linear Algebra |

**NOTES:**

Some students may be able to bypass one or more courses in the calculus sequence 191-192-291. The calculus sequence, finite mathematics, and linear algebra provide knowledge that is basic to further work, and students are advised to complete them or their equivalent as early as possible.

Students planning to enter a graduate program in Mathematics should select the General Emphasis. In any case, such students are strongly advised to take both MATH 331 and MATH 332, since these courses are required by most programs, and should take as many as possible of the courses MATH 481, 482, 491, 492.

Students planning to do graduate work in mathematics are encouraged to take French or German to meet the requirement of a second language.

*Emphasis: General*

Students seeking a foundation in pure mathematics and flexibility in the curriculum are encouraged to pursue the General Emphasis. Students choosing this emphasis should work closely with a faculty advisor to select courses appropriate to their interests.

**Departmental Requirements:**

MATH 331 | Introduction to Modern Algebra |

MATH 332 | Introduction to Analysis |

**Departmental Electives (18 hours): **At least 18 additional upper-division
credits of approved courses prefixed MATH or STAT, excluding MATH 300,
308, 313, 314, 315, 400, 459, and STAT 400. Any special topics course
MATH or STAT 301 and MATH or STAT 401 must be approved by the department
for credit towards the major. At least 12 of the MATH and STAT credits
must be numbered higher than 400.

**Nondepartmental Requirements:**

CS 172 | Introduction to Computer Science |

CS 272 | Introduction to Data Structures |

**NOTES:**

It is strongly recommended that mathematics majors in the General emphasis consider a minor or second major in an area that uses mathematics, such as physics or computer science. All programs should be planned with the guidance of a departmental advisor. Information and a short brochure containing further suggestions is available from the Department of Mathematical Sciences.

*Emphasis: Actuarial Science and Insurance*

The Emphasis in Actuarial Science and Insurance draws on courses from mathematics and business to prepare students for a mathematical career in insurance. The coursework in this emphasis focuses on the analysis of risk and its applications to insurance finance. Students fulfilling the requirements for the Actuarial Science and Insurance Emphasis earn a minor in Insurance.

**Departmental Requirements:**

MATH 331 or 332 | Introduction to Modern Algebra or Introduction to Analysis |

STAT 371 | Statistics for Engineers and Scientists I |

STAT 470 | Probability: Theory and Application |

STAT 480 | Statistics: Theory and Applications |

**Departmental Electives (9 hours):** The Actuarial Science Emphasis requires
also at least 9 additional upper-division credit hours of approved courses
prefixed MATH or STAT, excluding MATH 300, 308, 313, 314, 315, 400, 459,
and STAT 400. Any special topics course MATH or STAT 301 and MATH or
STAT 401 must be approved by the department for credit towards the major.
At least 6 of the MATH and STAT credit hours must be numbered higher
than 400.

**Nondepartmental Requirements: **

ACCT 251 | Management Accounting |

ACCT 252 | Financial Accounting |

ECON 251G | Principles of Macroeconomics |

ECON 252G | Principles of Microeconomics |

E E 161 | Computer Aided Problem Solving |

E T 360G | Technology in Business and Society |

FIN 322 | Principles of Insurance |

FIN 326 | Business Risk Management |

FIN 341 | Financial Analysis and Markets |

**Insurance Electives** **(Pick 2 of 4)**

FIN 303G | Personal Financial Planning and Investment in a Global Economy |

FIN 323 | Life and Health Insurance |

FIN 324 | Property and Liability Insurance |

FIN 391 | Finance Internship and Cooperative Education I |

*Emphasis: Applied Mathematics*

The Applied Mathematics Emphasis is intended to prepare students planning a mathematically oriented career upon graduation. The coursework in this emphasis provides a foundation in mathematics important in many scientific and engineering applications.

**Departmental Requirements:**

STAT 371 | Statistics for Engineers and Scientists I |

MATH 377 | Introduction to Numerical Methods |

MATH 392 | Introduction to Ordinary Differential Equations |

STAT 470 | Probability: Theory and Application |

MATH 471 | Complex Variables |

MATH 472 | Fourier Series and Boundary Value Problems |

**Departmental Electives (6 hours):** The Applied
Mathematics Emphasis requires at least 6 additional upper-division
credit hours of approved courses prefixed MATH or STAT, excluding MATH
300, 308, 313, 314, 315, 400, 459, and STAT 400. Any special topics
course MATH or STAT 301 and MATH or STAT 401 must be approved by the
department for credit towards the major. At least 3 of the MATH and
STAT credit hours must be numbered higher than 400.

**Nondepartmental Requirements:**

Majors choosing an Applied Mathematics Emphasis must select a minimum of 12 credit hours of elective courses to form a coherent cluster in an applied area. Students may propose clusters subject to departmental approval. Examples of acceptable clusters are given below; more examples can be found at the Department of Mathematical Sciences. A cluster must contain either C S 171 or E E 161. A major or minor in any of the following fields (along with C S 171 or E E 161) will also fulfill the Cluster Electives requirement: Computer Science, Physics, Biology, Chemistry and Biochemistry, Chemical Engineering, Engineering Physics, Electrical and Computer Engineering, Industrial Engineering, Mechanical Engineering, Civil Engineering, Economics, Finance.

__Examples of acceptable clusters__

**Signals:**
E E 161; minimum of 9 hours chosen from E
E 111; E E 211; E E 311; E E 395; E E 496 (students in this cluster may substitute E E 302 for STAT 371)

**Structures:** C S 171 or E E 161; minimum of 9 hours
chosen from PHYS 215; C E 233;
C E 301; C E 315; C E 365

**Operations Research:** E E 161; minimum of 9 hours chosen
from I E 311; I E 365; I E 413;
I E 423; I E 460

**Algorithm theory:** C S 171; C S 272; C S 370; C S 372
(earns minor in Algorithm Theory with an approved upper division mathematics
elective)

**Bioinformatics:** BIOL 211 and 211L; C S 486; and a minimum
of 6 hours chosen from C S 171; C S 272; C S 370 or C S 371; C S 372
(fulfilling all these requirements and taking MATH 331 earns a minor
in Bioinformatics)

**Computer Systems:** C S 171; minimum of 9 hours chosen
from C S 271 or C S 272; C S 273 or C S/E E 363; C S 370 or C S 371;
C S 473 or C S 474; C S 476 or C S 484 or C S 491 (fulfilling all these
requirements earns a minor in Computer Systems)

**Software Development:** C S 171; minimum of 9 hours chosen
from C S 271 or C S 272; C S 371; two of C S 370, C
S 451, C S 461, C S 474, C S 475, C S 476, C S 482,
C S 484, C S 485, C S 490 (fulfilling
all these requirements earns a minor in Software Development)