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# MATHEMATICS (MATH)

College of Arts and Sciences, Department of Mathematics

O’Shaughnessy Science Hall (OSS) 201, (651) 962-5520

Van Fleet (chair), Axtell, DeCelles, Dokken, Hoft, Kroschel, Loe(associate chair), Lopukhova, Moenig, Rawdon, Rezac, Shakiban, Shemyakin, Shvartsman, Stolarksa, Yang, Youn

Department Web Site:http://www.stthomas.edu/mathematics/

The Department of Mathematics offers major tracks that can satisfy a variety of student interests and careers. Majors in mathematics can prepare themselves for graduate study in mathematics or related areas, for the teaching of mathematics at the secondary school level, for professional school in law or health science, or for the application of mathematics and statistics in science, business, industry and government.

Students majoring in mathematics are encouraged to use elective courses to broaden their background in mathematics or in a related area of special interest. Coursework in biology, chemistry, economics, engineering, finance, geology, physics, psychology and computer and information sciences combines well with a major in mathematics.

Students graduating with a major in mathematics will be able to demonstrate an understanding of the fundamental notions of mathematics, including rigorous proof. They will be able to model and solve real-world problems arising in business and industry. They will be able to effectively communicate, both orally and in writing, mathematical concepts to their peers and to an audience of non-majors. They will be able to learn and apply mathematics on their own through independent study, research and participation in non-class-related lectures.

In all of the department’s major tracks, a student must successfully complete at least 16 credits in mathematics courses numbered 300 and above at the University of St. Thomas.

A minor in mathematics is available to support majors in many other departments. A strong mathematical background is of great benefit to students majoring in engineering, actuarial science and the physical sciences.

In addition to the mathematics tracks described below, the department offers a major in actuarial science (see Actuarial Science) and has programs to prepare students for teacher licensure (see Education). An interdisciplinary major in statistics is offered jointly with the Department of Computer and Information Sciences (see Statistics).

Students should see the chair of the Department of Mathematics for advice in selecting courses for a particular purpose. The department offers a number of courses for non-majors to fulfill the mathematics portion of the core curriculum.

**Center for Applied Mathematics**

Within the Department of Mathematics, the Center for Applied Mathematics (CAM) provides opportunities for students to work on significant mathematical problems of current interest to business, industry, and government. The CAM summer student research program funds a number of student projects each year.

# Major in Mathematics

**Mathematics - Major Field Guide**

- MATH 113 Calculus I (4 credits) (or 108 and 109)
- MATH 114 Calculus II (4 credits)
- MATH 200 Multi-Variable Calculus (4 credits)
- MATH 210 Introduction to Differential Equations and Systems (4 credits)
- MATH 240 Linear Algebra (4 credits)
- MATH 301 Abstract Algebra I (4 credits)
- MATH 317 Real Analysis (4 credits)

**Allied requirement**

- CISC 130 Introduction to Programming and Problem Solving in the Sciences (4 credits)

*or*

- CISC 131 Introduction to Programming and Problem Solving (4 credits)

*Note:* CISC 130 is recommended for this major

*Plus one of the mathematics tracks below:*

**Pure Mathematics Track**

*Eight credits from the following:*

- MATH 302 Abstract Algebra II (4 credits)
- MATH 419 Complex Variables (4 credits)
- MATH 420 Topology (4 credits)

*Plus:*

- Eight credits of courses MATH 300 or higher not already taken

**Applied Mathematics Track**

- MATH 315 Applied Mathematics and Modeling I (4 credits)
- MATH 316 Applied Mathematics and Modeling II (4 credits)

*Plus eight credits from the following:*

- MATH 300 Advanced Differential Equations (4 credits)
- MATH 302 Abstract Algebra II (4 credits)
- MATH 303 Statistics for the Applied Sciences (4 credits)
- MATH 313 Probability (4 credits)
- STAT 314 Mathematical Statistics (4 credits)
- MATH 385 Mathematical Methods of Numerical Analysis (4 credits)
- MATH 400 Dynamical Systems and Chaos (4 credits)
- MATH 419 Complex Variables (4 credits)
- MATH 420 Topology (4 credits)

**Statistics Track**

- MATH 313 Probability (4 credits)
- STAT 314 Mathematical Statistics (4 credits)
- STAT 333 Applied Statistical Methods: Regression, Time Series, Forecasting (4 credits)
- MATH 385 Mathematical Methods of Numerical Analysis (4 credits)

*Plus:*

- STAT 320 Statistics II (4 credits)

**Math Education Track**

- MATH 325 Geometry (4 credits)
- MATH 450 Advanced Mathematics: Exploration and Exposition (4 credits)

*Plus*:

- MATH 313 Probability (4 credits) and STAT 314 Mathematical Statistics (4 credits)

*or*

- MATH 303 Statistics for the Applied Sciences and any MATH 300+ not already included

# Minor in Mathematics

- MATH 113 Calculus I (4 credits) (or 108-109)
- MATH 114 Calculus II (4 credits)
- Plus at least four credits from the following:
- MATH 200 Multi-Variable Calculus (4 credits)
- MATH 210 Introduction to Differential Equations and Systems (4 credits)

*Plus:*

- A minimum of twelve additional credits in courses numbered above 200 (or approved by the department chair)

A student minoring in mathematics must successfully complete a minimum of 8 credits in mathematics numbered 200 and above at St. Thomas.

# Teacher Licensure

Elementary Education with a Co-major in Science, Technology, Engineering and Mathematics (STEM) for Elementary Education

Major in Mathematics with a Co-major in Secondary Education (5-12)

*See Education*

Entry-level mathematics courses require students to have an appropriate Math Placement level. This placement level is determined by the student's ACT Math score or performance on the Math Placement Exam. Students that do not have the placement level required for their desired course can now take MATH 005 and/or MATH 006. These are 0-credit courses, offeed every summer and J-term. MATH005 has no placement requirement, and successful completion would allow a studnet to take MATH 006, MATH 100 or MATH 101. MATH 006 requires a Math Placement Level of 101 or of MATH 005, and successful completion allows a studnet to take MATH 103 or MATH 108. Both MATH 005 and MATH 006 have affordable registration fees instead of reularly priced tuition, as they are 0-credit classes.

Course Number | Title | Credits |
---|---|---|

MATH 005 | Basic Math Skills | 0 |

MATH 006 | Basic Math Skills II | 0 |

MATH 100 | Mathematical Sampler | 4 |

MATH 101 | Finite Mathematics | 4 |

MATH 103 | College Algebra | 2 |

MATH 104 | Trigonometry | 2 |

MATH 105 | Precalculus | 4 |

MATH 108 | Calculus with Review I | 4 |

MATH 109 | Calculus with Review II | 4 |

MATH 111 | Calculus/Business & Soc Sci | 4 |

MATH 112 | Calc of Trig Functions | 2 |

MATH 113 | Calculus I | 4 |

MATH 114 | Calculus II | 4 |

MATH 121 | Structures of Elem Math I | 4 |

MATH 122 | Structures of Elem. Math II | 4 |

MATH 128 | Intro to Discrete Math | 4 |

MATH 200 | Multi-Variable Calculus | 4 |

MATH 210 | Intro-Differ Equations & Syst | 4 |

MATH 223 | Structures of Elem. Math III | 4 |

MATH 240 | Linear Algebra | 4 |

MATH 243 | Individual Study | 2 OR 4 |

MATH 259 | Elements of Geometry & Stat | 4 |

MATH 269 | Research | 2 OR 4 |

MATH 297 | Topics | 4 |

MATH 298 | Topics | 4 |

MATH 300 | Advanced Differential Equation | 4 |

MATH 301 | Abstract Algebra I | 4 |

MATH 302 | Abstract Algebra II | 4 |

MATH 303 | Statistics/Applied Sciences | 4 |

MATH 313 | Probability | 4 |

MATH 315 | Applied Math & Modeling I | 4 |

MATH 316 | Applied Math & Modeling II | 4 |

MATH 317 | Real Analysis | 4 |

MATH 325 | Geometry | 4 |

MATH 385 | Math Meths/Numerical Anal | 4 |

MATH 389 | Research | 2 OR 4 |

MATH 393 | Individual Study | 2 OR 4 |

MATH 400 | Dynamical Systems & Chaos | 4 |

MATH 419 | Complex Variables | 4 |

MATH 420 | Topology | 4 |

MATH 450 | Adv Math:Explor & Exposition | 4 |

MATH 476 | Experiential Learning | 2 |

MATH 484 | Seminar | 2 |

MATH 489 | Topics | 4 |

MATH 495 | Individual Study | 2 OR 4 |