# Mathematics: Math Doctoral Preparation, BSLAS

*for the degree of Bachelor of Science in Liberal Arts & Sciences Major in Mathematics, Math Doctoral Preparation Concentration*

Mathematics is a broad discipline that contains a range of areas of specialization within it. The required core courses provide fundamental background for mathematics in general. The concentrations allow the student to broaden this background or begin to specialize. Students must complete the core courses and a concentration.

An entering student in mathematics should have academic preparation to enroll in MATH 220 during the first semester. Admission to MATH 220 requires an acceptable ALEKS score. A student should attain grades of B in calculus in order to complete the advanced courses successfully.

**Undergraduate programs in Mathematics**

*for the degree of Bachelor of Science in Liberal Arts & Sciences Major in Mathematics, Math Doctoral Preparation Concentration*

**General education:** Students must complete the Campus General Education requirements including the campus general education language requirement.

**Minimum required major and supporting course work: **Normally equates to 52-56 hours including 27-35 hours of mathematics beyond calculus, 3-4 hours of computer science, and 12 hours of supporting coursework. Twelve hours of 300- and 400-level non-S/U-graded courses in the major must be taken on this campus.

**Minimum hours required for graduation: **120 hours.

Code | Title | Hours |
---|---|---|

Required Core Courses | ||

MATH 241 | Calculus III (Students should have credit for MATH 220/MATH 221 and MATH 231 before enrolling in MATH 241.) | 4 |

MATH 347 | Fundamental Mathematics | 3-4 |

or MATH 348 | Fundamental Mathematics-ACP | |

MATH 416 | Abstract Linear Algebra (Students may not receive credit for both MATH 416 and either ASRM 406 or MATH 415.) | 3 |

MATH 417 | Intro to Abstract Algebra | 3 |

or MATH 427 | Honors Abstract Algebra | |

MATH 424 | Honors Real Analysis (If MATH 424 or MATH 447 is completed, a requirement for the Math Doctoral Preparation concentration has been satisfied.) | 3 |

or MATH 444 | Elementary Real Analysis | |

or MATH 447 | Real Variables | |

MATH 461 | Probability Theory (If STAT 400 is completed, a requirement for the Data Optimization concentration has been satisfied.) | 3-4 |

or STAT 400 | Statistics and Probability I | |

CS 101 | Intro Computing: Engrg & Sci | 3-4 |

or CS 124 | Introduction to Computer Science I | |

or CS 125 | Introduction to Computer Science | |

Approved supporting coursework outside Mathematics (Supporting coursework may be completed with 12 advisor-approved hours of a single math-related area outside of MATH/ASRM not used for a major requirement and must include at least one advanced course; ANY minor which is fulfilled with at least 12 hours of courses, including one advanced course, not used for the major nor cross-listed with MATH/ASRM; or any double major or dual degree.) | 12 | |

Math Doctoral Preparation | ||

The courses chosen from the core and the Math Doctoral Preparation concentration must include at least two of honors MATH 416, MATH 424, MATH 425, MATH 427, MATH 428. | ||

MATH 418 | Intro to Abstract Algebra II | 3 |

or MATH 428 | Honors Topics in Mathematics | |

MATH 448 | Complex Variables | 3 |

MATH 423 | Differential Geometry | 3 |

or MATH 425 | Honors Advanced Analysis | |

or MATH 432 | Set Theory and Topology | |

or MATH 481 | Vector and Tensor Analysis | |

MATH 441 | Differential Equations | 3 or 4 |

Two additional 400-level or approved 500-level mathematics courses not graded with S/U grading. (Courses awarded S/U grades may not be used to fill this requirement.) | 6 | |

Total Hours | 52-56 |

*for the degree of Bachelor of Science in Liberal Arts & Sciences Major in Mathematics, Math Doctoral Preparation Concentration*

**Sample Sequence**

*This sample sequence is intended to be used only as a guide for degree completion. All students should work individually with their academic advisors to decide the actual course selection and sequence that works best for them based on their academic preparation and goals. Enrichment programming such as study abroad, minors, internships, and so on may impact the structure of this four-year plan. Course availability is not guaranteed during the semester indicated in the sample sequence.*

*Students must fulfill their Language Other Than English requirement by successfully completing a third level of a language other than English. See the corresponding section on the Degree General and Education Requirements page: **http://catalog.illinois.edu/general-information/degree-general-education-requirements/**.*

First Year | |||
---|---|---|---|

First Semester | Hours | Second Semester | Hours |

NEW XXX | NEW XXX (or substitute NEW XXX) | ||

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

NEW XXX | Language Other than English (3rd level) or Comp. I | 4 | |

NEW XXX | |||

Free elective course | 2 | ||

Comp. I or Language Other than English (3rd level) | 4 | ||

6 | 4 | ||

Second Year | |||

First Semester | Hours | Second Semester | Hours |

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

General Education course | 3 | NEW XXX | |

Free elective course | 3 | ||

3 | 3 | ||

Third Year | |||

First Semester | Hours | Second Semester | Hours |

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

0 | 0 | ||

Fourth Year | |||

First Semester | Hours | Second Semester | Hours |

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

NEW XXX | NEW XXX | ||

NEW XXX | |||

0 | 0 | ||

Total Hours 16 |