Professors: Barth, Intermont, Nordmoe (Chair), Oloo

The mission of the Mathematics Program is to foster in all our students critical habits of mind: description, analysis and interpretation. The Program is designed to prepare its majors for successful lifetime engagement with mathematics whether it be through applied work in industry or government; research in mathematics, statistics, or one of the other mathematical sciences; teaching; or applying mathematics in the physical, computing, or social sciences. For non-majors, the Program builds substantive skills in quantitative and abstract reasoning and in their application to the study of modern society.

## 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. As the department does not offer a precalculus course, no Kalamazoo College credit is awarded for the AP precalculus exam.

## 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 Computer Science or Applied Statistics 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 105, MATH 260 and MATH 261 do not count toward the nine units 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 (Real Analysis I and II, Abstract Algebra I and II, Probability and Mathematical Statistics)

**Required Cognate**

One unit computer science or one unit applied statistics (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, 316, 318, 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, and at least two courses in computer science is appropriate.

### 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 Exercises

Mathematics majors are required to satisfactorily complete the Sophomore Comprehensives and the Senior Comprehensives. 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 316, MATH 318, MATH 320, MATH 330, MATH 362, or any 400-level course in Mathematics

**Note: MATH-105,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.