# Bachelor of Science in Mathematics

Mathematics, as Galileo said, is the language in which the universe is written. It is a subject of great beauty, utility, and scope that is not only fundamental to all other disciplines in STEM but fascinating in its own right. Exploring mathematics in its many forms within a community of like-minded peers fosters creativity, critical thinking, and collaboration, thereby equipping students with tools to succeed in a wide range of settings.

**Program Description**

The Bachelor of Science in Mathematics program offers a broad background in mathematics appropriate for students planning to pursue a career in industry while providing the depth and rigor required for graduate studies in mathematics or related fields. Students majoring in Mathematics may concentrate their studies in one of several areas, including pure mathematics, cryptography, computational mathematics, and data science. With a first-year math seminar, a senior research project, and a large number of elective courses in between, the program gives students ample opportunities to pursue their unique interests.

**Program Objectives**** and Outcomes**

** **

The Bachelor of Science in Mathematics program has the following objectives and outcomes:

**Program Objectives**

- Graduates choosing academic careers in mathematics are successful as Ph.D. candidates in internationally recognized programs in mathematics or related fields.
- Graduates find rewarding careers where they are able to apply their knowledge and skills in the mathematical sciences to solving problems in mathematics, science, engineering, business, and education.
- Graduates demonstrate strong teamwork and leadership skills in solving complex mathematical and multidisciplinary problems.
- Graduates employ a variety of technologies and computational platforms to assist in solving and understanding mathematical problems.
- Graduates participate in the activities of professional organizations relevant to their chosen field.

**Program Outcomes**

- Graduates will understand important definitions and theorems across core branches of mathematics, including calculus, linear algebra, abstract algebra, probability and statistics, and analysis (Mathematics Foundations)

- Graduates will be able to explain and restate theorems, concepts, and methods in different contexts, and recognize which results are relevant to various situations (Comprehension and Analysis)
- Graduates will be able to apply mathematical reasoning, theories, and techniques to analyze and solve problems in mathematics, science, engineering, and business (Applications)
- Graduates will be able to construct complex mathematical arguments from previously acquired knowledge, and bring together knowledge from different areas of mathematics to analyze and solve mathematical problems (Synthesis)
- Graduates will have basic knowledge in the theory of computation and data structures, be familiar with commonly used algorithms in computational mathematics, and proficient in at least one programming language or computational platform (Computation)
- Graduates will understand common models used in the applied sciences and be experienced in constructing mathematical and numerical models (Modeling)
- Graduates will be able to communicate effectively and persuasively when presenting technical results (Communication)
- Graduates will recognize and achieve high levels of professionalism in their work (Professionalism)
- Graduates will be able to function effectively on multidisciplinary teams (Teamwork)
*Lifelong Learning.*Graduates will recognize the need for and have the ability to engage in lifelong learning and development through further education and participation in professional organizations.

## Mathematics Curriculum

The undergraduate curriculum in Mathematics consists of:

- 19 core courses in mathematics spanning a wide range of mathematical disciplines and culminating in a research project conducted in the senior year
- 6 elective math courses (called
*technical electives*) that may be chosen by the student and that may include graduate courses - 6 science courses and 1 science lab, including courses on physics, chemistry, and computer science, and including 2 science electives that may be chosen by the student
- 6 humanities courses, 4 of which are electives that may be chosen by the student
- 1 course on either macroeconomics or microeconomics
- 5 additional elective courses that may be chosen by the student to pursue other academic goals, such as a minor, double major, master's degree, or simply acquiring knowledge in particular fields of interest

See below for a sample study plan, and note that courses do not need to be taken in exactly the order shown here. Students with AP credit (for the calculus courses MA 121 and MA 122, for instance) may take more advanced courses (such as MA 125 and MA 126) in their first semester. Students should meet with an academic advisor to determine how best to meet the program requirements and how to choose electives so as to achieve their academic goals. See the notes following the sample study plan for more details on the program requirements.

### Term I

CAL 103 | Writing and Communications Colloquium | 3 |

CH 115 | General Chemistry I | 3 |

CS 115 | Introduction to Computer Science | 4 |

MA 121 | Differential Calculus | 2 |

MA 122 | Integral Calculus | 2 |

PEP 111 | Mechanics | 3 |

Science Lab | 1 |

### Term II

CAL 105 | CAL Colloquium: Knowledge, Nature, Culture | 3 |

MA 125 | Vectors and Matrices | 2 |

MA 126 | Multivariable Calculus I | 2 |

MA 188 | Seminar in Mathematical Sciences | 1 |

PEP 112 | Electricity and Magnetism | 3 |

Science Elective | 3 |

### Term III

BT 243 | Macroeconomics | 3 |

Or | ||

BT 244 | Microeconomics | 3 |

MA 221 | Differential Equations | 4 |

MA 225 | Infinite Series | 2 |

MA 226 | Multivariable Calculus II | 2 |

G.E. | General Elective | 3 |

HUM | Humanities | 3 |

### Term IV

MA 222 | Probability and Statistics | 3 |

MA 231 | Nonlinear Optimization | 2 |

MA 232 | Linear Algebra | 3 |

MA 240 | Proofs and Refutations | 3 |

G.E. | General Elective | 3 |

HUM | Humanities | 3 |

### Term V

MA 331 | Intermediate Statistics | 3 |

MA 441 | Introduction to Mathematical Analysis | 3 |

T.E. | Free Technical Elective | 3 |

T.E. | Technical Elective | 3 |

HUM | Humanities | 3 |

### Term VI

MA 234 | Complex Variables with Applications | 3 |

MA 336 | Modern Algebra | 3 |

MA 346 | Numerical Methods | 3 |

T.E. | Technical Elective | 3 |

Science Elective | 3 |

### Term VII

MA 410 | Differential Geometry | 3 |

MA 498 | Senior Research Project I | 3 |

T.E. | Free Technical Elective | 3 |

T.E. | Technical Elective | 3 |

HUM | Humanities | 3 |

### Term VIII

G.E. | General Elective | 3 |

T.E. | Technical Elective | 3 |

T.E. | Technical Elective | 3 |

T.E. | Technical Elective | 3 |

**Notes:**

**(1) Science Electives: **Students must take CH 115, CS 115, PEP 111, and PEP 112. They must also take one science lab, which may be CH 117, PEP 221, or BIO 182, and two additional science electives, one of which must be at the 200-level or higher. Science electives may include computer science courses or the courses PEP 151 and PEP 152.

**(2) Technical Electives **may be any 3-credit course at the 300-level or higher with academic advisor approval. Pre-approved technical electives include:

- MA 134, MA 335, MA 360, MA 361, MA 442, MA 463, MA 464, MA 499, MA 503, MA 525, MA 526, MA 544, MA 550, MA 552, MA 564, MA 565, MA 567, and MA 575.

Students who wish to count a course not on this list as a technical elective should speak with an academic advisor.

Students must also take either MA 498, offered in the fall term, or MA 499, offered in the spring term, to satisfy the senior research requirement. Students may take both and count MA 499 as a technical elective.

**(3) General Electives** may be any 3-credit courses. They may include courses used to fulfill minor, double major, or master's degree requirements, as well as language courses or courses taken while studying abroad.

**(4) Humanities:** Please see Humanities Requirements for specific requirements.

BT 243 or BT 244 may be taken to satisfy the economics requirement. Students who take both courses may use one in place of a 200-level humanities elective.