# Mathematics Major (B.S.)

59-61 units

The mathematics major at Azusa Pacific University provides students with a strong foundation in the mathematics of continuous change (calculus and analysis), of pattern and symmetry (linear and abstract algebra), of space (geometry and topology), of chance (probability), and of data (statistics). The major focuses on depth of conceptual understanding, rigorous mathematical proof, and problem-solving strategies. While this major does treat applications of mathematics and includes courses in physics and computer science, the emphasis is on theory. Students who prefer a focus on applications are encouraged to choose the applied mathematics major.

A student who majors in mathematics has the option of obtaining a Bachelor of Arts (B.A.) or a Bachelor of Science (B.S.) degree. Both degrees have the same mathematics requirements, but the B.S. degree requires a minor in physics, chemistry, or computer science (see these subject areas for requirements and course descriptions).

## Program Learning Outcomes

Students who complete this program are able to:

PLO 1: Master fundamental computational procedures and problem-solving strategies

PLO 2: Employ logical reasoning and standard proof techniques to construct rigorous mathematical arguments

PLO 3: Communicate mathematical ideas in speech and writing, combining precise language and notation with insightful explanation

PLO 4: Apply analytical approaches to a range of cross-disciplinary problems

PLO 5: Demonstrate appropriate use of technology specific to mathematics

PLO 6: Articulate how Christian perspectives and the study of mathematics mutually inform and enhance each other

## Career Opportunities

The mathematics major prepares students to be quantitative experts in a variety of fields: secondary or university teaching, mathematical research (for business, government, or the academy), cryptography, finance and economics, statistics and data analysis, or operations research and management consulting. Mathematics is also an excellent major for quantitatively minded students who want to go into business (see the finance minor), medicine (see the premedical program) or law (see the prelaw minor). Math majors have some of the highest rates of acceptance to graduate schools in all three of these fields.

APU mathematics graduates have gone on to prestigious graduate schools, accepted choice offers to teach at various secondary schools, been selected for Teach for America and Math for America, and moved into attractive industry positions.

## Requirements

Code | Title | Units |
---|---|---|

Required Courses | ||

MATH 165 | Calculus I | 3 |

MATH 166 | Calculus II | 3 |

MATH 167 | Sequences and Series | 1 |

MATH 200 | Mathematics Seminar II | 1 |

MATH 250 | Data Analysis | 3 |

MATH 268 | Multivariable Calculus | 3 |

MATH 270 | Ordinary Differential Equations | 4 |

MATH 280 | Discrete Mathematics and Proof | 3 |

MATH 290 | Linear Algebra | 3 |

MATH 400 | Abstract Algebra | 3 |

MATH 450 | Real Analysis | 3 |

MATH 480 | Writing 3: Mathematical Reading, Writing, and Presentation ^{1} | 3 |

MATH 496 | Senior Seminar ^{2} | 3 |

PHYC 161 | Physics for Science and Engineering I ^{3} | 5 |

CS 120 | Introduction to Computer Science I ^{4} | 4 |

Total Units | 45 |

In addition to the required courses above, complete one of the tracks below. You must also complete a minor in physics, chemistry, or computer science.

Code | Title | Units |
---|---|---|

General Mathematics Track | ||

Complete at least 14 units from the courses below. You must complete MATH 361 and at least one of MATH 460 and MATH 470. You cannot count both PHYC 162 and CS 125. | 14 | |

Vector Calculus | ||

Geometry | ||

Probability and Statistics I | ||

Number Theory | ||

Topology | ||

Complex Analysis | ||

Advanced Topics in Mathematics | ||

Physics for Science and Engineering II | ||

Introduction to Computer Science II | ||

Total Units | 14 |

Code | Title | Units |
---|---|---|

Secondary Math Education Track | ||

Complete all 16 units below. This track meets the requirements of the CTC-approved Single Subject Waiver program. | ||

MATH 130 | Introduction to Statistics ^{5} | 3 |

MATH 301 | Mathematics for Secondary Teachers | 3 |

MATH 340 | Geometry | 3 |

MATH 390 | Number Theory | 3 |

EDLS 202 | Introduction to Teaching as a Profession 7-12 ^{6} | 4 |

Total Units | 16 |

^{1} | Meets the General Education Writing 3 requirement. |

^{2} | Meets the General Education Integrative and Applied Learning requirement. |

^{3} | Meets the General Education Natural Science requirement. |

^{4} | Meets the General Education Oral Communication requirement if taken with CS 290 and CS 480, or ENGR 240 and ENGR 480. |

^{5} | Meets the General Education Quantitative Literacy requirement. |

^{6} | Meets the General Education Civic Knowledge and Engagement requirement. |