# Natural Sciences or Mathematics AS: Mathematics Option

Code: AS.NSM.MATH

The Mathematics option prepares students to transfer into the junior year of a baccalaureate program in mathematics or a related area such as statistics or actuarial science. It includes the required courses of Calculus I, II, and III, Differential Equations, and Linear Algebra, as well as elective courses in Discrete Mathematics, Statistical Methods, and Computer Science.

Traditional mathematics occupations include teaching positions at all levels, research positions, or positions in industry in areas such as applied mathematics, statistics, actuarial science, operations research, econometrics, or market research.

Program Learning Outcomes

- Demonstrate an understanding of the fundamental concepts of functions and relations, function notation and how functions are used to represent real-world applications.
- Work with formulas, including formula evaluation and solving a formula for any of the variables.
- Construct labeled graphs of functions to accurately convey information.
- Solve equations involving algebraic functions, exponential functions, logarithmic functions, trigonometric functions, and derivatives of functions.
- Apply various mathematical techniques to obtain approximate solutions to problems for which an exact solution is not possible or easily obtained.
- Apply the techniques of both differential calculus and integral calculus to problems involving functions of both one and several variables.
- Construct a mathematical model of a real-world problem
- Apply mathematics to the solution of problems from other disciplines.
- Communicate effectively using mathematics by employing proofs to validate properties and arguments involving various theorems and properties in mathematics.
- Derive other mathematical properties from a given set of mathematical properties or axioms.

## Recommended Semester Sequence

### First Semester

Natural Science Elective*† | 4 | |

Humanities Elective*: PHR-103 Basic Logic recommended |
3 |

MAT-280 | Calculus I | 4 |

COM-100 | Speech Communication | 3 |

- | or | |

COM-102 | Public Speaking | 3 |

WRT-101 | English Composition I | 3 |

Total Credit Hours: | 17 |

### Second Semester

Humanities Elective* |
3 | |

Natural Science Elective*† | 4 | |

Social Science Elective*: ECO-102 Principles of Microeconomics recommended |
3 |

MAT-281 | Calculus II | 4 |

WRT-201 | English Composition II | 3 |

Total Credit Hours: | 17 |

### Third Semester

Humanities Elective* | 3 | |

Mathematics or Natural Science Elective‡ | 3-4 |

MAT-282 | Calculus III | 4 |

MAT-286 | Linear Algebra | 4 |

Total Credit Hours: | 14-15 |

### Fourth Semester

Mathematics or Natural Science Elective‡ | 3-4 | |

Social Science Elective* | 3 | |

Humanities Elective‡‡ | 3 | |

Free Elective‡‡‡ | 3 |

MAT-283 | Differential Equations | 4 |

Total Credit Hours: | 16-17 |

## General Education Requirements

### Communication

COM-100 | Speech Communication | 3 |

- | or | |

COM-102 | Public Speaking | 3 |

WRT-101 | English Composition I | 3 |

WRT-201 | English Composition II | 3 |

Total Credit Hours: | 9 |

### Humanities Electives*

Two general education courses selected from the following fields, with no more than one course in any one field: Arts (Art [ART], Music [MUS], Theatre Arts [THR], Cinema Studies [CIN]); History (HIS); Literature (LIT); Philosophy and Religion (PHR); World Languages and Cultures (LAN).

Total Credit Hours: | 6 |

### Social Science Elective*

One general education course selected from the following fields: Economics (ECO); Geography (GEO); Political Science (POL); Psychology (PSY); Sociology (SOC) and Anthropology (ANT).

Total Credit Hours: | 3 |

### Mathematics, Natural Science, and Technology

Natural Science Elective* | 4 |

MAT-280 | Calculus I | 4 |

MAT-281 | Calculus II | 4 |

Total Credit Hours: | 12 |

Total Credit Hours: 30

## Program Requirements

Mathematics or Natural Science Electives*** | 6-8 | |

Natural Science Elective* | 4 |

MAT-282 | Calculus III | 4 |

MAT-283 | Differential Equations | 4 |

MAT-286 | Linear Algebra | 4 |

### Free Elective‡‡‡

Total Credit Hours: | 3 |

Total Credit Hours: 22-24

## Program Support Requirements

Two general education courses* to be selected from the following fields, with no more than one In any one field: Arts (Art [ART], Music [MUS], Theatre Arts [THR], Cinema Studies [CIN]); History (HIS); Literature (LIT); Philosophy and Religion (PHR); World Languages and Cultures (LAN). | 6 | |

One general education course* to be selected from the following fields: Economics (ECO); Geography (GEO); Political Science (POL); Psychology (PSY); Sociology (SOC) and Anthropology (ANT). | 3 |

Total Credit Hours: 9

Total Credit Hours: 64-66

**Specific Program Notes**

*General Education Elective(s).

†The student must complete one of the following 8-credit sequences: CHM-140/141 and CHM-240/241, or PHY-186 and PHY-286, or PHY-280 and PHY-290.

‡The student must choose from among the following courses: MAT-155, MAT-268, MAT-285, CHM-140/141, CHM-240/241, PHY-186, PHY-280, PHY-286, PHY-290, PHY-291.

‡‡One general education course to be selected from the following fields: Arts (Art [ART], Cinema Studies [CIN], Music [MUS], Theatre Arts [THR]); History (HIS); Literature (LIT); World Languages and Cultures (LAN)

‡‡‡Recommended: IST-123 Success 101.