# Mathematics

## Overview

Mathematics, encompassing several of the original liberal arts, is valued for its exquisite intellectual beauty and its timeless exploration of all things spatial, quantitative and patterned through the lens of rigorous abstraction. As a vibrant modern science, it possesses an unparalleled analytical power for describing, detailing and deriving insight into numerous physical, biological, technological, economic and societal aspects of the world we all live in. The Mathematics department is committed to engaging a diverse range of students in the active study and creative application of the principles, ideas, and methods that characterize mathematics and the mathematical sciences, and offering preparation toward a wide variety of careers and educational pursuits.

Upon graduation, some mathematics majors go on to graduate or professional school while others begin careers in teaching, business, industry, or government. The major can be structured to provide a solid foundation in the mathematical sciences-pure and applied mathematics, statistics, and operations research-and fields close to mathematics like computer science, actuarial science, and engineering. A major or minor in mathematics can also provide an excellent technical and theoretical complement to a major or minor in other fields.

## Major Requirements

### COURSEWORK

The minimum requirements for the major outlined below allow a student great flexibility in designing a course of study to meet their own intellectual and career goals.

#### Fundamental courses

Calculus 1 | Scientific Modeling and Differential Calculus | 4 units |

Calculus 2 | Scientific Modeling and Integral Calculus | 4 units |

MATH 210 | Discrete Mathematics | 4 units |

MATH 212 | Multivariable Calculus | 4 units |

MATH 214 | Linear Algebra | 4 units |

*Any student who places out of a Calculus 1 or Calculus 2 class satisfies the corresponding requirement for the Math Major.

#### Advanced courses

Students must have 24 units of Mathematics courses numbered 310 or above (excluding MATH 400).

#### Colloquium requirement

MATH 300 | Junior Colloquium | 2 units |

MATH 400 | Senior Colloquium | 2 units |

#### Breadth requirement

Select one option as detailed below:

##### Option 1

MATH 150 | Statistical Data Analysis | 4 units |

##### Option 2

COMP | Computer Science courses | 4 units |

##### Option 3

MATH 160 | Creative Problem-Solving | 2 units |

COMP | Computer Science course | 2 units |

The Mathematics department has prepared guidelines for majors considering future study or careers in pure and applied mathematics, education, actuarial science, and computer science. These guidelines are available on our website.

## Second-Stage Writing Requirement

Students majoring in Mathematics should familiarize themselves with this requirement at the time of declaring the major. The Second-Stage Writing Requirement is addressed in MATH 300. Students not taking MATH 300 (e.g., study abroad students) may petition to satisfy the writing requirement at a different time.## Comprehensive Requirement

This examination has two parts. The first part measures competence in the fundamental courses and is handled during MATH 300: Junior Colloquium. The second part is fulfilled by completing 4 units of MATH 400: Senior Colloquium. Further information is available from the department.## College Honors

Students who wish to be considered for honors in Mathematics should complete at least the five fundamental courses in their first two years with a grade point average greater than 3.0, and pass the Comprehensive Exam on their first attempt. Honors students must also complete three approved upper-division courses beyond those required for the major by the end of senior year. Honors students must obtain signed approval from a mentor by the end of the junior year, and should enroll in MATH 499 for the fall semester of senior year. For Honors students, MATH 499 is substituted for MATH 400 in satisfying the major requirements. Consult the Mathematics Department and the Honors Program for additional details.## Minor Requirements

The minor in Mathematics requires at least 20 units of Mathematics numbered 150 or above, taken at Occidental or through college transfer credit. Students must take at least one 4-unit course at the 300 level.

### COURSEWORK

#### Students must select three courses from the list below:

MATH 150 | Statistical Data Analysis | 4 units |

MATH 210 | Discrete Mathematics | 4 units |

MATH 212 | Multivariable Calculus | 4 units |

MATH 214 | Linear Algebra | 4 units |

## Mathematics Placement

### CALCULUS PLACEMENT

Placement in calculus courses (MATH 108, MATH 110, MATH 114, or MATH 128) is determined based on previous mathematical experience, advising, and the results of the Calculus Placement Exam. The Calculus Placement Exam is administered online prior to the beginning of Fall Semester.

Students with qualifying scores on the Advanced Placement or IB Examination in Calculus are most often placed in calculus courses as follows:

Calculus AP Exam Score | Which Math course to take |

BC 4 or 5 | MATH 150, MATH 210, MATH 212, or MATH 214. |

AB 4 or 5 |
MATH 120 or MATH 128 (after consultation with Math Dept) |

AB or BC 3 or less |
Take Calculus Placement Exam |

IB Exam Score |
Which Math course to take |

IB HL 6 or 7 | MATH 150, MATH 210, MATH 212, or MATH 214. |

IB HL 5 | MATH 114 or MATH 120 or MATH 128: |

IB HL 4 | MATH 110 or MATH 114 |

IB HL 3 or less | Take Calculus Placement Exam |

IB IS SL (any score) |
Take Calculus Placement Exam |

In addition to the calculus courses, MATH 105, MATH 146, MATH 150, MATH 160, MATH 210, MATH 212, MATH 214, and COMP 131 may be taken by first-year students meeting the prerequisites.

Students with transfer credits should confer with the Department for advice on placement in an appropriate mathematics course.

### STATISTICS PLACEMENT

Students receiving a 4 or 5 on the AP Statistics Exam are exempt from MATH 146; MATH 150 is recommended for these students wanting to take further statistics courses.### MATHEMATICS COURSES

Calculus is a prerequisite for all mathematics courses with the exceptions of MATH 105 and MATH 146, as well as for most Computer Science courses. All students planning to take Calculus must take the online Calculus Placement Exam prior to the beginning of the Fall Semester unless they are exempt due to having received an Advanced Placement exam score. (See Calculus Placement above or contact the Mathematics Department for further details.) Prerequisites for any course may be waived with permission of the instructor.## Transfer Credit Policies

The Mathematics Department may accept online courses in transfer, both as general elective credit and as credit toward the major or minor. A student may apply no more than eight units of 300 level credit in transfer toward the major, except by permission of the chair.

Students who earned a score of 4 or 5 on the AP Calculus AB examination will earn four units of credit and will be considered to have completed the equivalent of MATH 110 (Calculus 1). Students who earned a score of 4 or 5 on the AP Calculus BC examination will earn four units of credit and will be considered to have completed the equivalent of MATH 120 (Calculus 2). Students who earned a score of 6 or 7 on the (higher level) IB examination or a grade of A or B on the A-level examination will earn four units of credit and will be considered to have completed the equivalent of both MATH 110 (Calculus 1) and MATH 120 (Calculus 2).

Students should reference the Transfer Credit section for more details.

## Courses

## Faculty

### Regular Faculty

**Jim L. Brown**, chair

*Professor*

B.S., Michigan State University; Ph.D. University of Michigan

**Treena Basu**

*Assistant Professor*

B.S. Jogamaya Devi College: University of Calcutta; M.S. University of Texas-Pan American; M.S. Bengal Engineering and Science University; Ph.D. University of South Carolina

**Ron Buckmire**

*Associate Dean for Curricular Affairs*

*Professor*

B.Sc., M.Sc., Ph.D., Rensselaer Polytechnic Institute

**Tamás Lengyel**

*Professor*

Diploma, Ph.D., Eotvos University, Budapest

**Ramin Naimi**

*Professor*

B.S., University of California, Los Angeles; Ph.D., California Institute of Technology

**Timothy Rainone**

*Assistant Professor, Mathematics*

B.S., M.S., McGill University; Ph.D., Texas A&M University

**Eric Sundberg**

*Associate Professor*

A.B., Occidental College; Ph.D., Rutgers University

**Nalsey Tinberg**

*Professor*

B.A., University of California, Los Angeles; M.S., Ph.D., University of Warwick

### On Special Appointment

**Gerald Daigle**

*Non-Tenure Track Assistant Professor*

B.A., Pomona College; M.A., Cambridge University; Ph.D., California Institute of Technology

**Nishu Lal**

* Non-Tenure Track Assistant Professor*

B.S., M.S., University of California, Irvine; Ph.D., University of California, Riverside

**Don Lawrence**

*Non-Tenure Track Professor*

B.A., Pomona College; M.A., Ph.D., University of California, Santa Barbara

**Jeffrey Miller**

*Non-Tenure Track Assistant Professor*

B.S., University of California, Davis; M.A., Ph.D., University of California, Santa Barbara

**Gregory Tollisen**

*Non-Tenure Track Professor*

B.S., University of Portland; M.S., California Institute of Technology