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
Graduation Requirements
Minimum hours required for graduation: 120 hours.
Minimum required major and supporting course work: Normally equates to 60-64 hours including 27-35 hours of mathematics beyond calculus, 3-4 hours of computer science, and 12 hours of supporting coursework. Twelve (12) hours of 300- and 400-level non-S/U-graded courses in the major must be taken on this campus.
University Requirements
Minimum of 40 hours of upper-division coursework, generally at the 300- or 400-level. These hours can be drawn from all elements of the degree. Students should consult their academic advisor for additional guidance in fulfilling this requirement.
The university and residency requirements can be found in the Student Code (§ 3-801) and in the Academic Catalog.
General Education Requirements
Follows the campus General Education (Gen Ed) requirements. Some Gen Ed requirements may be met by courses required and/or electives in the program.
| Code | Title | Hours |
|---|---|---|
| Composition I | 4-6 | |
| Advanced Composition | 3 | |
| Humanities & the Arts (6 hours) | 6 | |
| Natural Sciences & Technology (6 hours) | 6 | |
| Social & Behavioral Sciences (6 hours) | 6 | |
| Cultural Studies: Non-Western Cultures (1 course) | 3 | |
| Cultural Studies: US Minority Cultures (1 course) | 3 | |
| Cultural Studies: Western/Comparative Cultures (1 course) | 3 | |
| Quantitative Reasoning (2 courses, at least one course must be Quantitative Reasoning I) | 6-10 | |
| Language Requirement (Completion of the fourth semester or equivalent of a language other than English is required) | 0-20 | |
| Code | Title | Hours |
|---|---|---|
| Orientation and Professional Development | ||
| LAS 101 | Design Your First Year Experience | 1 |
OR | ||
| LAS 100 & LAS 101 | Success in LAS for International Students and Design Your First Year Experience | 3 |
OR | ||
| LAS 102 | Transfer Advantage | 1 |
| Code | Title | Hours |
|---|---|---|
| Required Core Courses | ||
| MATH 220 | Calculus | 4 or 5 |
| or MATH 221 | Calculus I | |
| MATH 231 | Calculus II | 3 |
| MATH 241 | Calculus III | 4 |
| MATH 347 | Fundamental Mathematics | 3 or 4 |
| or MATH 314 | Introduction to Higher Mathematics | |
| MATH 416 | Abstract Linear Algebra | 3 |
| MATH 417 | Intro to Abstract Algebra | 3 |
| or MATH 427 | Honors Abstract Algebra | |
| MATH 461 | Probability Theory | 3 or 4 |
| or STAT 400 | Statistics and Probability I | |
| CS 101 | Intro Computing: Engrg & Sci | 3 |
| or CS 124 | Introduction to Computer Science I | |
| 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 | |
| Code | Title | Hours |
|---|---|---|
| Math Doctoral Preparation Concentration | ||
| The courses chosen from the Core and the Math Doctoral Preparation Concentration must include at least two honors courses chosen from: MATH 416, MATH 424, MATH 425, MATH 427, MATH 428. | ||
| MATH 424 | Honors Real Analysis | 3 |
| or MATH 447 | Real Variables | |
| 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 |
| Two additional 400-level or approved 500-level MATH courses that are not graded as S/U. | 6 | |
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 fourth level of a language other than English. See the corresponding section on the Degree and General Education Requirements page.
| First Year | |||
|---|---|---|---|
| First Semester | Hours | Second Semester | Hours |
| MATH 220 or 221 | 4 | MATH 231 | 3 |
| Composition I or General Education course | 3 | CS 101 or 124 | 3 |
| Language Other than English (3rd level) | 4 | General Education course or Composition I | 4 |
| General Education course | 3 | Language Other than English (4th level) | 4 |
| LAS 101 (or Elective) | 1 | ||
| 15 | 14 | ||
| Second Year | |||
| First Semester | Hours | Second Semester | Hours |
| MATH 241 | 4 | MATH 416 | 3 |
| MATH 347 | 3 | MATH 461 or STAT 400 | 3 |
| General Education course | 3 | Supporting Coursework | 3 |
| General Education course | 3 | General Education course | 3 |
| Free elective course | 3 | General Education course | 3 |
| 16 | 15 | ||
| Third Year | |||
| First Semester | Hours | Second Semester | Hours |
| MATH 424, 444, or 447 | 3 | MATH 423, 425, 432, or 481 | 3 |
| MATH 441 | 3 | 400 level MATH course (may not use an S/U-graded course) | 3 |
| General Education course | 3 | General Education course | 3 |
| Supporting Coursework | 3 | Supporting Coursework | 3 |
| Free elective course | 3 | Free elective course | 3 |
| 15 | 15 | ||
| Fourth Year | |||
| First Semester | Hours | Second Semester | Hours |
| MATH 427 or 417 | 3 | MATH 418 or 428 | 3 |
| MATH 448 | 3 | 400-level MATH course | 3 |
| General Education course | 3 | General Education course | 3 |
| Upper-division Supporting Coursework | 3 | Free elective course | 3 |
| Free elective course | 3 | Free elective course | 3 |
| 15 | 15 | ||
| Total Hours 120 | |||
for the degree of Bachelor of Science in Liberal Arts & Sciences Major in Mathematics, Math Doctoral Preparation Concentration
Students with a BSLAS degree in Mathematics will be able to:
- construct proofs and recognize when proofs are complete.
- use theorems in order to solve problems.
- demonstrate technical proficiency in calculus and linear algebra.
- apply mathematics; translating real-world problems into mathematical problems and solving them.
Additionally, students in this concentration will gain a proficiency with abstract mathematics at the level required for graduate study and beyond.
for the degree of Bachelor of Science in Liberal Arts & Sciences Major in Mathematics, Math Doctoral Preparation Concentration
Department of Mathematics
Mathematics Faculty
Math Advising
mathadvising@illinois.edu