# Mathematics (BS)

##
Hours – 48 - 51 Credit Hours

Effective Jan. 2020

Last Revised 10/01/2020

Holokai Category: Math & Sciences

## Program Requirements

### Applied Math Emphasis (48-51 Credits)

The applied math emphasis prepares students for careers in government service, industry, areas of research, or graduate study in other fields other than pure mathematics.

#### Core Requirements — 27 Credits

Course Number |
Title |
Semester Offered |
Credit Hours |
Prerequisites |
---|---|---|---|---|

MATH 121 | Principles of Statistics | F, W, S | 3.0 | MATH 106 or MATH 110 or MATH 107 or Pass BMQT or Score 24 on Math Section of the ACT or 590 on Math Section of the SAT |

MATH 212 | Calculus I | F, W, S | 5.0 | |

MATH 213 | Calculus II | F, W, S | 5.0 | MATH 212, Corequisite: MATH 301 is recommended |

MATH 214 | Multivariable Calculus | W, S | 5.0 | MATH 213, Corequisite: MATH 301 is recommended |

MATH 301 | Foundations of Mathematics | F-even, W-even, S-odd | 3.0 | MATH 212 |

MATH 334 | Differential Equations | W-even, S-odd | 3.0 | MATH 214 |

MATH 343 | Elementary Linear Algebra | F-odd, W-odd, S-even | 3.0 | MATH 212 |

#### Applied Cluster (Each student will take a set course from one of the following clusters) 12-15 Credits

##### Physics Cluster

Course Number | Title | Semesters Offered | Credit Hours | Prerequisites |
---|---|---|---|---|

PHYS 121 | Introduction to Newtonian Mechanics | F, W | 3.0 | MATH 212 and either High School Trigonometry or MATH 111, and passing a Comprehensive Mathematics Exam during 1st week of semester. Sample Math exam available in Canvas. |

PHYS 121L | Introduction to Newtonian Mechanics Lab | F, W | 1.0 | Pre or corequisite PHYS 121 |

PHYS 220 | Introduction to Electricity and Magnetism | W-even years | 3.0 | PHYS 121 w/C- or better. Completion of MATH 213 recommended |

PHYS 220L | Introduction to Electricity and Magnetism Lab | W-even years | 1.0 | Pre or corequisite: PHYS 220 |

PHYS 221 | Introduction to Waves, Optics, and Modern Physics | W-odd years | 3.0 | PHYS 121 w/C- or better. Completion of MATH 213 recommended |

PHYS 221L | Introduction to Waves, Optics, and Modern Physics Lab | W-odd years | 1.0 | Pre or corequisite: PHYS 221 |

##### Statistics Cluster

Course Number | Title | Semesters Offered | Credit Hours | Prerequisites |
---|---|---|---|---|

MATH 421 | Mathematical Statistics | F | 3.0 | MATH 214 |

PSYC 205 | Applied Social Statistics | F, W | 3.0 | PSYC 111 and MATH 107 or MATH 110 or equivalent |

PSYC 405 | Multivariate Statistics | Variable | 3.0 | PSYC 205 or Permission of Instructor |

Course approved by Mathematics Program | Variable | 3.0 | Based on the selected course, all prerequisites in catalog must be met |

##### Biology Cluster

Course Number | Title | Semesters Offered | Credit Hours | Prerequisites |
---|---|---|---|---|

MATH 421 | Mathematical Statistics | F | 3.0 | MATH 214 |

BIOL 112 | Biology I-Cell and Molecular Biology | F, W, S | 3.0 | |

BIOL 340*** | Biostatistics | S | 3.0 | BIOL 112 *See Academic Advisor to register |

BIOL 376*** | Genetics | F, S | 3.0 | BIOL 112 *See Academic Advisor to register |

##### Computer Science Cluster

Course Number | Title | Semesters Offered | Credit Hours | Prerequisites |
---|---|---|---|---|

MATH 311* | Introduction to Numerical Methods | Variable | 3.0 | MATH 213 |

CIS 202 | Object-Oriented Programming I | F, W, S | 3.0 | CIS 101 |

CS 203 | Object-Oriented Programming II | F | 3.0 | CIS 202 |

CS 301*** | Algorithms and Complexity | W | 3.0 | CIS 202, MATH 301 for MATH majors; CS 203, CIS 206 for CS/IS/IT Majors |

CS 320*** | Introduction to Computational Theory | W | 3.0 | CIS 202, MATH 301 for MATH majors; CS 203, CIS 206 for CS/IS/IT Majors |

##### Pre-Engineering Cluster – Choose 2 Physics courses plus the others

Course Number | Title | Semesters Offered | Credit Hours | Prerequisites |
---|---|---|---|---|

PHYS 121 | Introduction to Newtonian Mechanics | F, W | 3.0 | MATH 212 and either High School Trigonometry or MATH 111, and passing a Comprehensive Mathematics Exam during 1st week of semester. Sample Math exam available in Canvas. |

PHYS 220 | Introduction to Electricity and Magnetism | W-even years | 3.0 | PHYS 121 w/C- or better. Completion of MATH 213 recommended |

PHYS 221 | Introduction to Waves, Optics, and Modern Physics | W-odd years | 3.0 | PHYS 121 w/C- or better. Completion of MATH 213 recommended |

MATH 311* | Introduction to Numerical Methods | Variable | 3.0 | MATH 213 |

CIS 202 | Object-Oriented Programming I | F, W, S | 3.0 | CIS 101 |

CS 203 | Object-Oriented Programming II | F | 3.0 | CIS 202 |

##### Math Cluster

Course Number | Title | Semesters Offered | Credit Hours | Prerequisites |
---|---|---|---|---|

MATH 111 | Trigonometry and Analytic Geometry | F, W, S | 3.0 | Recommended MATH 110 or proficiency |

MATH 302 | Foundations of Geometry | F-odd years | 3.0 | MATH 212 or Permission of Instructor |

MATH 308 | Mathematics Using Technologies | S-even years | 3.0 | MATH 121, 212 |

MATH 377 | Secondary Mathematics Teaching Methods | F-even years | 2.0 | Pre- or corequisite MATH 212 |

MATH 490R | Mathematics Seminar (Different topic than Advanced Math Elective) | S | 2.0 |

##### Variable Cluster

Course Number | Title | Semesters Offered | Credit Hours | Prerequisites |
---|---|---|---|---|

4 Classes | Subjects in which math is applied as approved by the math program | Variable | 12.0 | Variable |

#### Advanced Math Electives Minimum – 9 Credits

(Choose 9 more credits from the following)

(Other courses may be approved by math program)

Course Number | Title | Semesters Offered | Credit Hours | Prerequisites |
---|---|---|---|---|

MATH 311* | Introduction to Numerical Methods | Variable | 3.0 | MATH 213 |

MATH 332 | Introduction to Complex Variables | W-odd, S-even | 3.0 | MATH 214 |

MATH 421 | Mathematical Statistics | F | 3.0 | MATH 214 |

MATH 441 | Introduction to Analysis I | F | 3.0 | MATH 214, 301 |

MATH 442 | Introduction to Analysis II | W | 3.0 | MATH 441 |

MATH 471 | Abstract Algebra I | F | 3.0 | MATH 301 |

MATH 472 | Abstract Algebra II | W | 3.0 | MATH 471 |

MATH 490R** | Mathematics Seminar | S | 2.0 |

#### Additional Program Requirements

*CS Cluster and pre-engineering cluster students must take MATH 311 in the advanced math elective section.

**MATH 490R can be used a maximum of four credits as an advanced math elective.

***Please see an academic advisor to register for this class (BIOL 340, BIOL 376, CS 301, CS 320).

The same course cannot be applied to both the applied cluster and the advanced math electives.

Must have a minimum of 2.0 cumulative GPA in these courses for graduation.

No more than one “D” grade will be allowed in any 300/400 level courses.

### Pure Math Concentration (48 Credits)

The pure math concentration prepares students for careers in teaching, government service, industry, and research, or graduate study in mathematics. Math 308, Math 490R, and additional courses in computer science, physics, and chemistry are strongly recommended.

#### Mathematics Core Requirements — 42 Credits

Course Number | Title | Semester Offered | Credit Hours | Prerequisites |
---|---|---|---|---|

MATH 212 | Calculus I | F, W, S | 5.0 | |

MATH 213 | Calculus II | F, W, S | 5.0 | MATH 212; Corequisite: MATH 301 is recommended |

MATH 214 | Multivariable Calculus | W, S | 5.0 | MATH 213; Corequisite: MATH 301 is recommended |

MATH 301 | Foundations of Mathematics | F-even, W-even, S-odd | 3.0 | MATH 212 |

MATH 332 | Introduction to Complex Variables | W-odd, S-even | 3.0 | MATH 214 |

MATH 334 | Differential Equations | W-even, S-odd | 3.0 | MATH 214 |

MATH 343 | Elementary Linear Algebra | F-odd, W-odd, S-even | 3.0 | MATH 212 |

MATH 421 | Mathematical Statistics | F | 3.0 | MATH 214 |

MATH 441 | Introduction to Analysis I | F | 3.0 | MATH 214, 301 |

MATH 442 | Introduction to Analysis II | W | 3.0 | MATH 441 |

MATH 471 | Abstract Algebra I | F | 3.0 | MATH 301 |

MATH 472 | Abstract Algebra II | W | 3.0 | MATH 471 |

#### Mathematics Electives – 6 Credits

##### (Choose 6 credits from the following)

(Other courses may be approved by the math program)

Course Number | Title | Semester Offered | Credit Hours | Prerequisites |
---|---|---|---|---|

MATH 311 | Introduction to Numerical Methods | Variable | 3.0 | MATH 213 |

MATH 490R* | Mathematics Seminar | S | 2.0 | |

PHYS 121 | Introduction to Newtonian Mechanics | F, W | 3.0 | MATH 212 and either High School Trigonometry or MATH 111, and passing a Comprehensive Mathematics Exam during 1st week of semester. Sample Math exam available in Canvas. |

PHYS 220 | Introduction to Electricity and Magnetism | W-even | 3.0 | PHYS 121 w/C- or better. Completion of MATH 213 recommended |

PHYS 221 | Introduction to Waves, Optics, and Modern Physics | W-odd | 3.0 | PHYS 121 w/C- or better. Completion of MATH 213 recommended |

CIS 202 | Object-Oriented Programming I | F, W, S | 3.0 | CIS 101 |

#### Additional Program Requirements

*MATH 490R can be used a maximum of four credits as a math elective.

Must have a minimum 2.0 cumulative GPA in these courses for graduation.

No “D” grades will be allowed in any 100/200 level courses.

No more than one “D” grade will be allowed in any 300/400 level courses.

## Program Outcomes

Upon completing a major in mathematics, students will:

- Demonstrate proficiency in algebra and trigonometry, as well as integral, differential, and multivariable calculus necessary for success in advanced mathematical studies.
- Demonstrate content knowledge of both abstract and applied mathematical disciplines by stating definitions, salient theorems, and proofs of major theorems and concepts that are core content in upper division courses.
- Organize and explain their knowledge of logic and mathematical content in the structure of original valid proofs.
- Communicate mathematical ideas effectively in both written and oral context.
- Apply major definitions, theorems and algorithms in problem solving.
- Use appropriate technological tools while solving mathematical problems.
- Prepare professionally for graduate school or employment in mathematics or related fields.

## Career Opportunities

The mathematics major prepares students for careers in teaching, government service, industry, and research, or graduate study in mathematics. The student has two options: mathematics major and the mathematics education major. The student has three options: B.S. in mathematics, pure track, B.S. in mathematics, applied track, and the mathematics education major.