2021-2022 Catalog

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

4 units

Calculus 2

4 units

MATH 210Discrete Mathematics

4 units

MATH 212Multivariable Calculus

4 units

MATH 214Linear Algebra

4 units

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

Students must receive a grade of C or above in each of MATH 210, MATH 212, and MATH 214 in order to graduate with a Mathematics major. If a student does not receive a grade of C or higher, the department chair will support a Petition for Special Consideration requesting to repeat the course. Only the most recent grade will count towards satisfying the 200-level requirement.

At least two of the required 200-level Mathematics courses (MATH 210, MATH 212 and MATH 214) must be taken at Occidental College except by approval of the chair. Exceptions must be filed by submitting a Petition for Special Consideration.

Advanced Courses

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

Colloquium Requirement

MATH 300Junior Colloquium

2 units

MATH 400Senior Colloquium

2 units

Breadth requirement

Students must take one course from the following approved list of courses (students can petition the department to have a course not on the list count for the breadth requirement): 

CHEM 355Bioinformatics

2 units

COMP 131Fundamentals of Computer Science

4 units

COMP 229Data Structures

4 units

COMP 347Machine Learning

4 units

ECON 272Applied Econometrics

4 units

ECON 305Game Theory

4 units

ECON 306Advanced Econometrics

4 units

PHIL 350/MATH 350Metalogic

4 units

PHYS 110Introductory Mechanics

4 units

PHYS 115General Physics I

4 units

PHYS 117Waves and Thermal Physics

4 units

PHYS 230Introductory Electricity and Magnetism

4 units

PHYS 240Modern Physics

4 units

PHYS 261Simulations in Physics

4 units

PHYS 310Mathematical Methods in Physics

4 units

PHYS 320Analytical Dynamics

4 units

PHYS 350Statistical Physics

4 units

PHYS 361Computational Physics

4 units

PHYS 367Mathematical Methods in Physics II

4 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 in the Students section 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

The comprehensive requirement in Mathematics has two parts. The first part measures competence in the five fundamental courses and is typically handled during MATH 300: Junior Colloquium.  During MATH 300 students take five exams, one in each of the fundamental areas; a passing score on each exam is a 12 (or higher) out of 20. Passing all five exams is required to pass the comprehensive requirement.

The second part requires successful completion for a letter grade of four units in:

MATH 395 (Special Topics in Advanced Mathematics) 

MATH 400 (Senior Seminar) 

MATH 497 (Independent Study) 

MATH 499 (Honors Senior Seminar)

A student wishing to complete the senior comprehensive requirements through MATH 497 or MATH 499 must find a faculty member in the Mathematics Department willing to supervise the independent study/honors thesis. 

A student who successfully completes four units from the courses numbered MATH 395, MATH 400, MATH 497 and MATH 499, and who receives a passing score on each of the five exams associated with MATH 300 will receive at least a grade of P in comprehensive requirements. 

To pass the comprehensive requirements with distinction (receive a grade of PD), in addition to meeting the requirements for a grade of P, a student must pass all five exams on their first try, have at least an 80% overall average on the five exams, and receive at least an A- in one of the courses listed above.

Further information is available from the department.

Honors

Students who wish to be considered for honors in Mathematics should have completed all five fundamental courses in their first five semesters at the College, have a grade point average of at least at a 3.5 in their MATH courses at the end of their third year, and pass all five Comprehensive Exams on their first attempt. Honors students must also complete three approved upper-division courses beyond those required for the major by the end of their senior year (for a total of 36 units). 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. To receive honors, a student must write a paper as well as give a talk to the department on the topic of the paper.  The paper, which typically will be 20 pages long, is graded by the mentor along with a second reader; the entire department evaluates the talk, which is typically at least 30 minutes long.  The paper and talk must both be completed no later than April 1 of the Honors candidate's senior year.  Consult the Mathematics Department for additional details.

Minor Requirements

The minor in Mathematics requires at least 20 units of Mathematics courses 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. Students are required to take at least 8 of the 20 units at Occidental College. 

COURSEWORK

Students must select at least three courses from the list below:

MATH 150Statistical Data Analysis

4 units

MATH 210Discrete Mathematics

4 units

MATH 212Multivariable Calculus

4 units

MATH 214Linear Algebra

4 units

Mathematics Placement

Calculus

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 SL (any score)
Take Calculus Placement Exam

In addition to the calculus courses, MATH 105, MATH 150, MATH 160, MATH 210, MATH 212, MATH 214, COMP 131, and COMP 146 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.

*Students with IB Exam scores will be required to contact the instructor of the course for prerequisite override in order to register.

Mathematics Courses

Calculus is a prerequisite for all mathematics courses with the exceptions of MATH 105 and 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. 

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 matriculating as frosh must take at least two of the required 200-level Mathematics courses (MATH 210, MATH 212 and MATH 214) at Occidental College except by approval of the chair.

Students transferring from another institution may transfer the 200-level Mathematics sequence (MATH 210, MATH 212, MATH 214) with approval from the department chair.

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 should reference the Transfer Credit section for more details.

Courses

Mathematics Courses

Faculty

Regular Faculty

Treena Basu, chair

Associate 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

Jim L. Brown

Professor

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

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 

On Special Appointment

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