# Bachelor of Science in Mathematics

The department offers undergraduate preparation for positions in government, business, and industry and for graduate work in mathematics and statistics. Each student’s major program is individually constructed in consultation with an advisor.

Upper-division courses used to satisfy major requirements must be taken for letter grades, and only one D grade (D+ or D or D–) may be counted toward the upper-division requirement. At least 12 credits in upper-division mathematics courses must be taken in residence at the university.

Statistical Methods I (MATH 425) cannot be used to satisfy requirements for a mathematics major or minor.

To qualify for a bachelor’s degree with a major in mathematics, a student must satisfy the requirements for one of three options: the standard track, pure mathematics, or secondary teaching. In each option, most courses require calculus as a prerequisite, and in each option some of the courses require satisfying the bridge requirement.

### Bachelor of Science: Standard Track

Code | Title | Credits |
---|---|---|

MATH 253 | Calculus III | 4 |

MATH 281–282 | Several-Variable Calculus I-II | 8 |

MATH 341–342 | Elementary Linear Algebra | 8 |

CS 122 | Introduction to Programming and Problem Solving | 4 |

Select one of the following sets of Bridge courses: | 12 | |

Select one of the following Fundamentals sequences: ^{1} | 8 | |

Fundamentals of Analysis I-II | ||

Fundamentals of Number Theory I-II | ||

Fundamentals of Abstract Algebra I-II | ||

Select four of the following, including at least one two-term sequence: ^{2} | 16 | |

Fundamentals of Analysis I | ||

Fundamentals of Analysis II | ||

Theory of Differential Equations | ||

Statistical Models and Methods ^{3} | ||

Fundamentals of Number Theory I | ||

Fundamentals of Number Theory II | ||

Elementary Numerical Analysis I | ||

Elementary Numerical Analysis II | ||

Fundamentals of Abstract Algebra I | ||

Fundamentals of Abstract Algebra II | ||

Geometries from an Advanced Viewpoint I | ||

Geometries from an Advanced Viewpoint II | ||

History and Applications of Calculus | ||

Functions of a Complex Variable I | ||

Functions of a Complex Variable II | ||

Introduction to Analysis I | ||

Introduction to Analysis II | ||

Introduction to Analysis III | ||

Partial Differential Equations: Fourier Analysis I | ||

Partial Differential Equations: Fourier Analysis II | ||

Introduction to Topology | ||

Introduction to Topology | ||

Introduction to Differential Geometry | ||

Linear Algebra | ||

Introduction to Abstract Algebra I | ||

Introduction to Abstract Algebra II | ||

Introduction to Abstract Algebra III | ||

Networks and Combinatorics | ||

Introduction to Mathematical Cryptography | ||

Introduction to Mathematical Methods of Statistics I | ||

Introduction to Mathematical Methods of Statistics II ^{3} | ||

Mathematical Methods of Regression Analysis and Analysis of Variance | ||

Stochastic Processes | ||

Total Credits | 60 |

^{1} | For students who have completed Calculus with Theory I-III (MATH 261–263) with a grade of mid-C or better, the department will waive the requirement for Fundamentals of Analysis I-II (MATH 316–317). |

^{2} | Sequences include MATH 316-317, 347-348, 351-352, 391-392, 394-395, 411-412, 421M-422, 413-415, 431-432, 444-446, 461-462, 461-467; credit for these courses cannot count for both the two-term Fundamentals sequence and the four upper-division electives. |

^{3} | Students cannot receive credit for both Statistical Models and Methods (MATH 343) and Introduction to Mathematical Methods of Statistics II (MATH 462). |

### Bachelor of Science: Pure Mathematics

Code | Title | Credits |
---|---|---|

MATH 253 | Calculus III | 4 |

MATH 281–282 | Several-Variable Calculus I-II | 8 |

MATH 316–317 | Fundamentals of Analysis I-II ^{1} | 8 |

MATH 341–342 | Elementary Linear Algebra | 8 |

CS 122 | Introduction to Programming and Problem Solving | 4 |

Select one of the following sets of Bridge courses: | 12 | |

Elements of Discrete Mathematics I-II (and two from MATH 201–206) | ||

Calculus with Theory I-II (and two from MATH 201–206) | ||

Introduction to Proof (and four from MATH 201–206) | ||

Select one of the following Abstract Algebra sequences: | 8 | |

Fundamentals of Abstract Algebra I-II | ||

Introduction to Abstract Algebra I-II | ||

Select two of the following: ^{2} | 8 | |

Theory of Differential Equations | ||

Statistical Models and Methods ^{3, 4} | ||

Probability and Statistics for Data Science ^{3, 4} | ||

Probability and Statistics for Data Science ^{3, 4} | ||

Fundamentals of Number Theory I | ||

Fundamentals of Number Theory II | ||

Elementary Numerical Analysis I | ||

Elementary Numerical Analysis II | ||

Fundamentals of Abstract Algebra I | ||

Fundamentals of Abstract Algebra II | ||

Geometries from an Advanced Viewpoint I | ||

Geometries from an Advanced Viewpoint II | ||

History and Applications of Calculus | ||

Functions of a Complex Variable I | ||

Functions of a Complex Variable II | ||

Introduction to Analysis I | ||

Introduction to Analysis II | ||

Introduction to Analysis III | ||

Partial Differential Equations: Fourier Analysis I | ||

Partial Differential Equations: Fourier Analysis II | ||

Introduction to Topology | ||

Introduction to Topology | ||

Introduction to Differential Geometry | ||

Linear Algebra | ||

Introduction to Abstract Algebra I | ||

Introduction to Abstract Algebra II | ||

Introduction to Abstract Algebra III | ||

Introduction to Mathematical Methods of Statistics I | ||

Introduction to Mathematical Methods of Statistics II ^{3, 4} | ||

Mathematical Methods of Regression Analysis and Analysis of Variance | ||

Stochastic Processes | ||

Total Credits | 60 |

^{1} | For students who have completed Calculus with Theory I-III (MATH 261–263) with grades of mid-C or better, the department will waive the requirement for Fundamentals of Analysis I-II (MATH 316–317). |

^{2} | The two-term abstract algebra sequence—Introduction to Abstract Algebra I (MATH 444), Introduction to Abstract Algebra II (MATH 445)—cannot also count toward the two upper-division electives. |

^{3} | After completing Introduction to Mathematical Methods of Statistics II (MATH 462), students cannot receive credit for: Statistical Models and Methods (MATH 343), Probability and Statistics for Data Science (MATH 345M), nor Probability and Statistics for Data Science (DSCI 345M). |

^{4} | Students can only use one of the following toward the two-course upper-division requirement: Statistical Models and Methods (MATH 343), Probability and Statistics for Data Science (MATH 345M), Probability and Statistics for Data Science (DSCI 345M) , and Introduction to Mathematical Methods of Statistics II (MATH 462). |

### Bachelor of Science: Secondary Teaching

Code | Title | Credits |
---|---|---|

MATH 253 | Calculus III | 4 |

MATH 281 | Several-Variable Calculus I | 4 |

MATH 341 | Elementary Linear Algebra | 4 |

MATH 343 | Statistical Models and Methods | 4 |

CS 122 | Introduction to Programming and Problem Solving | 4 |

Select one of the following sets of Bridge courses: | 12 | |

Elements of Discrete Mathematics I-II (and two from MATH 201–206) | ||

Calculus with Theory I-II (and two from MATH 201–206) | ||

Introduction to Proof (and four from MATH 201–206) | ||

Select two of the following Fundamentals sequences: ^{1} | 16 | |

Fundamentals of Analysis I-II | ||

Fundamentals of Number Theory I-II | ||

Fundamentals of Abstract Algebra I-II | ||

MATH 394–395 | Geometries from an Advanced Viewpoint I-II | 8 |

MATH 397 | History and Applications of Calculus | 4 |

Total Credits | 60 |

^{1} | For students who have completed Calculus with Theory I-III (MATH 261–263) with grades of mid-C or better, the department will waive the requirement for Fundamentals of Analysis I-II (MATH 316–317). |