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November 26, 2018

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For more than two thousand years, mathematics has been a part of the human search for understanding. Mathematical discoveries have come both from the attempt to describe the natural world and from the desire to arrive at a form of inescapable truth through careful reasoning that begins with a small set of self-evident assumptions. These remain fruitful and important motivations for mathematical thinking, but in the last century mathematics and statistics have been successfully applied to many other aspects of the human world: voting trends in politics, the dating of ancient artifacts, the analysis of automobile traffic patterns, and long-term strategies for the sustainable harvest of deciduous forests, to mention a few. Today, statistics as a mode of thought and expression is more valuable than ever before. Learning to think in mathematical terms is an essential part of becoming a liberally educated person.

Mathematics and statistics are engaging fields, rich in beauty, with powerful applications to other subjects. Thus we strive to ensure that Kenyon students encounter and learn to solve problems using a number of contrasting but complementary mathematical perspectives: continuous and discrete, algebraic and geometric, deterministic and stochastic, theoretical and applied. In our courses we stress mathematical and statistical thinking and communication skills. And in courses where it makes sense to incorporate technological tools, our students learn to solve problems using computer algebra systems, statistical packages and computer programming languages.

- New Students
- Requirements for the Majors
- Senior Capstone
- Suggestions for Majoring in Mathematics
- Honors
- Requirements for the Minors
- Transfer Credit
- Cross Listed Courses

For those students interested only in an introduction to mathematics or statistics or a course to satisfy a distribution requirement, may select from MATH 105, 111, 128, STAT 106, 116 and SCMP 118.

Students wanting to continue the study of mathematics beyond one year, either by pursuing a major or minor in mathematics or a foundation for courses in other disciplines, usually begin with the calculus sequence MATH 111, 112 and 213.

Students who have already had calculus or who want to take more than one math course may choose to begin with STAT 106 and 206 or SCMP 118. A few well-prepared students may take MATH 222 or 224 in their first year. Please see the department chair for further information.

MATH 111 is an introductory course in calculus. Students who have completed a substantial course in calculus might qualify for one of the successor courses, MATH 112 or 213. STAT 106 is an introduction to statistics, which focuses on quantitative reasoning skills and the analysis of data. SCMP 118 introduces students to computer programming.

To facilitate proper placement of students in calculus courses, the department offers placement tests that help students decide which level of calculus course is appropriate for them. This and other entrance information is used during the orientation period to give students advice about course selection in mathematics. We encourage all students who do not have Advanced Placement credit to take the placement exam that is appropriate for them. Students who have Advanced Placement credit for STAT 106 should consider enrolling in STAT 206 or 216.

The ready availability of powerful computers has made the computer one of the primary tools of the mathematician and absolutely indispensable for the statistician. Students will be expected to use appropriate computer software in many of the mathematics and statistics courses. However, no prior experience with the software packages or programming is expected, except in advanced courses that presuppose earlier courses in which use of the software or programming was taught.

There are two concentrations within the mathematics and statistics major: classical mathematics and statistics.

A student must have credit for the following core courses:

- Three semesters of calculus (MATH 111, 112, 213, or the equivalent)
- One semester of statistics (STAT 106, 116 or 436, or the equivalent)
- SCMP 118 Introduction to Programming
- MATH 222 Foundations
- MATH 224 Linear Algebra
- MATH 335 Abstract Algebra I
*or*MATH 341 Real Analysis I

In addition, majors must have credit for at least **three other ****elective **courses at the 200 level or above, selected with the consent of the department.

A student must have credit for the following core courses:

- Three semesters of calculus (MATH 111, 112, 213 or the equivalent)
- SCMP 118 Introduction to Programming
- MATH 222 Foundations
- MATH 224 Linear Algebra
- MATH 336 Probability
- MATH 341 Real Analysis I
- STAT 416 Linear Regression Models
*or*STAT 436 Mathematical Statistics

In addition to the core courses, majors must also have credit for **two elective courses** from the following list:

- STAT 106 Elements of Statistics
- STAT 206 Data Analysis
- STAT 216 Nonparametric Statistics
- MATH 236 Random Structures
- STAT 416 Linear Regression Models
- STAT 436 Mathematical Statistics

Mathematics is a vital component in the methods used by other disciplines, and the applied math requirement is designed to expose majors to this vitality. There are two ways to satisfy the requirement:

1. One (1) unit from a single department or program that use mathematics or statistics in significant ways. Typically, majors will choose a two-course sequence from the following list; other two-course sequences require departmental approval:

- ECON 205 Introduction to Econometrics and either ECON 357 Economics with Calculus or ECON 375 Advanced Econometrics
- PHYS 140 Classical Physics and PHYS 145 Modern Physics
- PSYC 200 Statistical Analysis in Psychology and a 400-level Psychology Research Methods course

2. Half (0.5) unit math course that focuses on the development and analysis of mathematical models used to answer questions arising in other fields. The following courses satisfy the requirement, but other courses may satisfy the requirement with department approval:

- MATH 258 Mathematical Biology
- MATH 347 Mathematical Models

Classical mathematics majors may also use STAT 206, STAT 216, or STAT 416 to satisfy the requirement. Additionally, students choosing this option may not use the applied math course as one of the elective courses required for the major.

Majors are expected to attain a depth of study within mathematics, as well as breadth. Therefore majors should earn credit in one of four two-course upper-level sequences:

- MATH 335 Abstract Algebra I and MATH 435 Abstract Algebra II
- MATH 341 Real Analysis I and MATH 441 Real Analysis II
- MATH 336 Probability and STAT 416 Linear Regression Models
- MATH 336 Probability and STAT 436 Mathematical Statistics

Other two-course sequences may satisfy the requirement with department approval.

The Senior Capstone begins promptly in the fall of the senior year with independent study on a topic of interest to the student and approved by the department. The independent study culminates in the writing of a paper, which is due in November. Juniors are encouraged to begin thinking about possible topics before they leave for the summer. Students are required to take the Major Field Test in Mathematics produced by the Educational Testing Service. Evaluation of the Senior Capstone is based on the student's performance on the paper and the standardized exam. Detailed information on the Senior Capstone is available on the Mathematics Department website.

Students wishing to keep open the option of a major in mathematics and statistics typically begin with the study of calculus and normally complete the calculus sequence, MATH 222, and either SCMP 118 or STAT 106 by the end of the sophomore year. A major is usually declared no later than the second semester of the sophomore year. Those considering a mathematics and statistics major should consult with a member of the mathematics and statistics department to plan their course of study.

The requirements for the major are minimal. Anyone who is planning a career in the mathematical sciences, or who intends to read for honors, is encouraged to consult with one or more members of the department concerning further studies that would be appropriate. Similarly, any student who wishes to propose a variation of the major program is encouraged to discuss the plan with a member of the department prior to submitting a written proposal for a decision by the department.

Students who are interested in teaching mathematics at the high-school level should take MATH 230 and 335, since these courses are required for certification in most states, including Ohio.

To be eligible to enroll in the Mathematics Honors Seminar, by the end of junior year students must have completed the following:

- One depth sequence (MATH 335/435, MATH 336/STAT 416, MATH 336/STAT 436, MATH 341/441)
- Have earned an overall Kenyon GPA of at least 3.33
- A GPA in Kenyon mathematics and statistics courses of at least 3.6
- The student also must have, in the estimation of the mathematics and statistics faculty, a reasonable expectation of fulfilling the requirements to earn honors which are listed below.

To earn honors in mathematics, a student must:

- Complete two depth sequences (see list above)
- Complete at least six, half (0.5) unit courses in mathematics and statistics numbered 300 or above
- Pass the Senior Capstone in the fall semester
- Pass the Mathematics Honors Seminar MATH 498 or the Statistics Honors Seminar STAT 498
- Present the results of independent work in MATH 498 or STAT 498 to a committee consisting of an outside examiner and members of the mathematics and statistics department
- Successfully complete an examination written by an outside examiner covering material from MATH 498 and previous mathematics or statistics courses
- Maintain an overall Kenyon GPA of at least 3.33
- Maintain a GPA in mathematics courses of at least 3.6

Based on performance in all of the above-mentioned areas, the department (in consultation with the outside examiner) can elect to award Honors, High Honors, or Highest Honors, or not to award honors at all.

There are two minors in mathematics and statistics. Each minor deals with core material of a part of the discipline, and each reflects the logically structured nature of the subject through a pattern of prerequisites. A minor consists of satisfactory completion of the following courses:

- The calculus sequence MATH 111, 112, 213 or the equivalent
- Four other courses offered by the Department of Mathematics and Statistics. SCMP 118 and/or SCMP 218 may also be used toward this four-course requirement. Of these four other courses, students may count at most one at the 100 level.

- STAT 106 or an equivalent introductory statistics course
- STAT 206
- Three courses from the following:
- STAT 216
- MATH 236
- MATH 258
- MATH 336
- STAT 416
- STAT 436
- Students may count at most one statistics course from another department. ECON 205 or PSYC 200 may be substituted for one of the courses listed above

Our goal is to provide a solid introduction to basic statistical methods, including data analysis, design and analysis of experiments, statistical inference and statistical models, using professional software such as Minitab, SAS, Maple and R.

Deviations from the list of approved minor courses must be approved by the mathematics department. Students considering a minor in mathematics or statistics are urged to speak with a member of the department about the selection of courses.

Transfer credit from other institutions, and the applicability of this credit to the major or minor, must be approved by the department chair.

The following course is cross-listed in biology and will satisfy the natural science requirement:

- MATH 258 Mathematical Biology