# 2012-2013 Academic Catalog

## All schools & programs > College of Liberal Arts and Sciences > Department of Mathematics >

# Bachelor of Science in Mathematics

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Separate programs lead to the B.A. in mathematics and the B.S. in mathematics. The B.A. has fewer mathematics course requirements and more general education requirements. The B.S. requires more mathematics courses, an applied mathematics concentration, and fewer general education courses. Students wishing to attend graduate school in mathematics or to pursue a career that makes substantial use of mathematics (as an actuary, for example) should get a B.S. in mathematics. Many students majoring in mathematics are interested in a liberal arts degree; such students may want to consider the B.A. in mathematics. Students who wish to teach mathematics in high school should pursue a B.A. or B.S. in mathematics while participating in the UKanTeach program.

# Requirements for the B.S. Degree

First- and Second-Year Preparation |
18 hours |

- MATH 121 Calculus I (5)
**or**

MATH 141 Calculus I, Honors (5) - MATH 122 Calculus II (5)
**or**

MATH 142 Calculus II, Honors (5) - MATH 223 Vector Calculus (3)
**or**

MATH 243 Vector Calculus, Honors (3) - MATH 290 Elementary Linear Algebra (2)
**or**

MATH 291 Elementary Linear Algebra, Honors (2) - MATH 320 Elementary Differential Equations (3)
**or**

MATH 220 Applied Differential Equations (3)

Core Requirements |
12-13 hours |

*Linear Algebra:*MATH 590 Linear Algebra (3)**or**

MATH 790 Linear Algebra II (3)*Analysis:*MATH 500 Intermediate Analysis (3)**or**

MATH 765 Mathematical Analysis I (3)*Algebra:*MATH 558 Introductory Modern Algebra (3)**or**

MATH 791 Modern Algebra (3)*Statistics:*MATH 526 Applied Mathematical Statistics I (3)**or**

MATH 628 Mathematical Theory of Statistics (3)**or**

MATH 728 Statistical Theory (3) or DSCI 301 Statistics (4)

Mathematics Concentration/Sequence Requirements |
6-12 hours |

- One 2-course sequence from List A and a second 2-course sequence from either List A or List B

Electives |
0-6 hours |

- Up to 2 additional 3-credit-hour courses to complete a total of 24 credit hours of mathematics courses numbered MATH 450 and above. Students who satisfy the core statistics requirement with DSCI 301 must choose an additional 3-credit-hour elective.

Applied Concentration |
8 hours |

- 3 courses, totaling at least 8 credit hours, that make significant use of mathematics. At least 2 courses must be in the same area. Courses from List C have been approved for this requirement. Other upper-division courses making significant use of mathematics can be used for the applied concentration with the approval of a mathematics department adviser.

**Note:** Many of these courses have prerequisites that do not count toward the mathematics major.

## Minimum Major Requirements |
## 42 hours |

## Applied Concentration |
## 8 hours |

General Education Requirements |
49-49 hours |

*English, Argument and Reason, and Western Civilization*(18) (These are the same as the requirements for the B.A. degree.)*Computer Science:*EECS 138 (3) or EECS 168 (4)*Natural Science:*1 course with laboratory (4-5 hours) and one additional course (3-5 hours) in biological science (NB), earth science (NE), or physical science (NP) (7-10)*Humanities and Foreign Language:*4 courses in humanities and foreign language, at least two (6 hours) of which must be in humanities (designated H). Students are encouraged to complete at least two courses in a foreign language (12)*Social Sciences:*2 courses designated S (6)

#### List A Sequences

- MATH 627 Probability (3) and MATH 628 Mathematical Theory of Statistics (3)
- MATH 660 Geometry I (3) and MATH 661 Geometry II (3)
- MATH 765 Mathematical Analysis I (3) and MATH 766 Mathematical Analysis II (3)
- MATH 781 Numerical Analysis I (3) and MATH 782 Numerical Analysis II (3)
- MATH 790 Linear Algebra II (3) and MATH 791 Modern Algebra (3)

#### List B Sequences

- MATH 500 Intermediate Analysis (3) and MATH 646 Complex Variable and Applications (3)
- MATH 526 Applied Mathematical Statistics I (3) and MATH 605 Applied Regression Analysis (3)
- MATH 526 Applied Mathematical Statistics I (3) and MATH 611 Time Series Analysis (3)
- MATH 530 Mathematical Models I (3) and MATH 531 Mathematical Models II (3)
- MATH 540 Elementary Number Theory (3) and MATH 558 Introductory Modern Algebra (3)
- MATH 558 Introductory Modern Algebra (3) and MATH 601 Algebraic Coding Theory (3)
- MATH 581 Numerical Methods (3) and MATH 591 Applied Numerical Linear Algebra (3)
- MATH 590 Linear Algebra (3) and MATH 790 Linear Algebra II (3)
- MATH 646 Complex Variable and Applications (3) and MATH 647 Applied Partial Differential Equations (3)
- MATH 647 Applied Partial Differential Equations (3) and MATH 648 Calculus of Variations and Integral Equations (3)
- MATH 724 Combinatorial Mathematics (3) and MATH 725 Graph Theory (3)

#### List C Applied Concentration Courses

*Statistics:*MATH 605, MATH 611, MATH 624, ECON 817, ECON 818*Management Science and Operations Management:*SCM 310, DSCI 410*Finance:*FIN 310, FIN 410, FIN 415, FIN 420, FIN 425, MATH 630*Economics:*ECON 526, ECON 590, ECON 700, ECON 701, ECON 715, ECON 716*Biology:*BIOL 350, BIOL 412, BINF 701, BINF 702, BIOL 743, BIOL 747*Physics and Astronomy:*PHSX 313, PHSX 521, PHSX 531, ASTR 591, ASTR 592, PHSX 621, PHSX 631, PHSX 655, PHSX 671, ASTR 691, PHSX 741*Chemistry:*CHEM 516, CHEM 646, CHEM 648*Bioinformatics:*BINF 701, BINF 702*Aerospace Engineering:*AE 345, AE 445, AE 507, AE 545, AE 550, AE 551, AE 750*Chemical and Petroleum Engineering:*C&PE 211, C&PE 511, C&PE 521, C&PE 523*Civil Engineering:*CE 201, CE 300, CE 301, CE 310, CE 311, CE 461, CE 704*Electrical Engineering and Computer Science:*EECS 211, EECS 220, EECS 360, EECS 420, EECS 444, EECS 510, EECS 560, EECS 562, EECS 638, EECS 649, EECS 660, EECS 662, EECS 672, EECS 718, EECS 730, EECS 744*Mechanical Engineering:*ME 201, ME 311, ME 312, ME 321, ME 508, ME 520, ME 612, ME 682, ME 740

**Note:** Some courses satisfying the sequence requirements are taught infrequently. More advanced courses can be substituted for lower level courses in many cases. Consult the mathematics department for expected course offerings and substitutions.

Courses used to satisfy the core requirements can also be used to complete List A and List B sequences. However, courses used for the Applied Concentration requirement cannot also be counted toward the 24 credit hours of advanced mathematics courses for the B.S. degree.

### Department of Mathematics

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