# Mathematics

## Requirements

## Advanced Placement

For purposes of course placement and prerequisites, a score of 4 or 5 on the AB calculus exam (or an AB subscore of the BC calculus exam) is regarded as equivalent to successful completion of MATH 112. A score of 4 or 5 on the BC calculus exam is equivalent to MATH 113. A score of 4 or 5 on the statistics exam is equivalent to MATH 260.

## Transfer, Dual Enrollment, Study Abroad Credit

Courses taken at other institutions will be awarded credit in mathematics if they meet one of the following criteria:

- The course is similar in content and rigor to an existing course in the Mathematics Department (and there are legitimate reasons why the student is not able to take the class at the College)
- The course covers some important topic of mathematics not offered at Kalamazoo College. .

Students are responsible for meeting with the department chair in advance to determine whether a course offered elsewhere will transfer back as a mathematics credit.

## Requirements for the Major in Mathematics

**Number of Units**

Nine units of mathematics are required, exclusive of SIP and CS Cognate. Typically up to two units from outside courses (AP, transfer, dual enrollment, or study abroad) may count towards the major or minor in mathematics. MATH 260 and MATH 261 do not count for the major. Students who wish to apply additional external units toward the major must consult with the department.

**Required Courses**

MATH 112-113 Calculus I and II

MATH 214 Calculus III

MATH 240 Linear Algebra and Vectors

MATH 310 Complex and Vector Variables, MATH 316 Topics in Number Theory or MATH 318 Topics in Topology

MATH 320 Real Analysis I or MATH 330 Abstract Algebra I

One two-term sequence beyond calculus (e.g., Real Analysis I and II, Abstract Algebra I and II, Probability and Mathematical Statistics, Abstract Algebra I and Linear Algebra II)

**Required Cognate**

One computer science course or one applied statistics course (MATH 260 or MATH 261)

**Major Guidance**

Among the courses we offer, MATH 320 and MATH 330 are at the highest level of abstraction. Before enrolling in one of these courses, students are strongly encouraged to complete MATH 310, MATH 316 or MATH318.

For students interested in graduate work in one of the mathematical sciences, additional work in MATH 280, 310, 314, 316, 320, 330, 420, 430, and 450 is appropriate. Those with a strong interest in computing should elect the minor in computer science in addition to MATH 300. For those students interested in applied work (mathematical biology, mathematical economics, operations research, etc.), election of MATH 270, 280, 310, 362, 365, 440, and at least two courses in computer science is appropriate. Other departments offer classes that use mathematical ideas: BIOL 112, 426, and 436; CHEM 310 and 410; ECON 305 and 412; PHIL 107; PHYS 340, 400, 410, and 420; and PSYC 390.

## Mathematics Colloquium Credit

In addition to the requirements stated above, mathematics majors are required to complete the Mathematics Colloquium requirement. See the Mathematics Department for details.

## Comprehensive Exams

Mathematics majors are required to satisfactorily complete the Sophomore Comprehensive exam and the Senior Comprehensive Exam. See the Mathematics Department for details.

## Requirements for the Minor in Mathematics

There are four options for the minor in mathematics, each of which requires six units of credit in mathematics. Each of these options requires the "core" courses: Single variable calculus (MATH 112 and MATH 113), Multivariable Calculus (MATH 214), and Linear Algebra (MATH 240). The other required courses for each option are as follows:

**Statistics Option**

MATH 362 Probability

MATH 365 Mathematical Statistics

**Computational Mathematics Option**

MATH 250 Discrete Mathematics or MATH 330 Abstract Algebra I

MATH 300 Automata, Formal Languages, and Computability

**Applied Mathematics Option**

MATH 280 Differential Equations

MATH 310 Complex and Vector Variables

**Pure Mathematics Option**

MATH 320 Real Analysis I or MATH 330 Abstract Algebra I

And one other mathematics course from the following list:

MATH 310, MATH 314, MATH 316, MATH 318, MATH 320, MATH 330, MATH 362, or any

400-level course in Mathematics

**Note: MATH-260 and MATH-261 do not count for the Mathematics minor**

## Study Abroad

Students interested in mathematics are especially encouraged to consider the study abroad program in Budapest. The Budapest program is given in English; no prior knowledge of Hungarian is needed. It offers a number of mathematics courses as well as history, language, and literature courses. Mathematics majors have also studied mathematics in Erlangen, Quito, Perth, Aberdeen, and Lancaster. Early consultation with the department is strongly urged.