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80239 | MATH 111.01 | Calculus I The first in a three-semester calculus sequence, this course covers the basic ideas of differential calculus. Differential calculus is concerned primarily with the fundamental problem of determining instantaneous rates of change. In this course we will study instantaneous rates of change from both a qualitative geometric and a quantitative analytic perspective. We will cover in detail the underlying theory, techniques and applications of the derivative. The problem of anti-differentiation, identifying quantities given their rates of change, also will be introduced. The course will conclude by relating the process of anti-differentiation to the problem of finding the area beneath curves, thus providing an intuitive link between differential calculus and integral calculus. Those who have had a year of high school calculus but do not have advanced placement credit for MATH 111 should take the calculus placement exam to determine whether they are ready for MATH 112. Students who have .5 unit of credit for calculus may not receive credit for MATH 111. Prerequisite: solid grounding in algebra, trigonometry and elementary functions. | Credit: 0.5 | ||

MWF T | 8:10 am-9:00 am 8:10 am-9:30 am | QR | |||

Seats filled/limit: 15/25 | |||||

Staff | NEW | ||||

80240 | MATH 111.02 | Calculus I The first in a three-semester calculus sequence, this course covers the basic ideas of differential calculus. Differential calculus is concerned primarily with the fundamental problem of determining instantaneous rates of change. In this course we will study instantaneous rates of change from both a qualitative geometric and a quantitative analytic perspective. We will cover in detail the underlying theory, techniques and applications of the derivative. The problem of anti-differentiation, identifying quantities given their rates of change, also will be introduced. The course will conclude by relating the process of anti-differentiation to the problem of finding the area beneath curves, thus providing an intuitive link between differential calculus and integral calculus. Those who have had a year of high school calculus but do not have advanced placement credit for MATH 111 should take the calculus placement exam to determine whether they are ready for MATH 112. Students who have .5 unit of credit for calculus may not receive credit for MATH 111. Prerequisite: solid grounding in algebra, trigonometry and elementary functions. | Credit: 0.5 | ||

MWF T | 9:10 am-10:00 am 9:40 am-11:00 am | QR | |||

Seats filled/limit: 15/25 | |||||

Staff | NEW | ||||

80241 | MATH 112.01 | Calculus II The second in a three-semester calculus sequence, this course has two primary foci. The first is integration, including techniques of integration, numerical methods and applications of integration. This study leads into the analysis of differential equations by separation of variables, Euler's method and slope fields. The second focus is the notion of convergence, as manifested in improper integrals, sequences and series, particularly Taylor series. Prerequisite: MATH 111 or AP score of 4 or 5 on Calculus AB exam or an AB subscore of 4 or 5 on the Calculus BC exam or permission of instructor. Offered every semester. | Credit: 0.5 | ||

T MWF | 8:10 am-9:30 am 9:10 am-10:00 am | QR | |||

Seats filled/limit: 4/25 | |||||

Staff | NEW | ||||

80255 | MATH 112.02 | Calculus II The second in a three-semester calculus sequence, this course has two primary foci. The first is integration, including techniques of integration, numerical methods and applications of integration. This study leads into the analysis of differential equations by separation of variables, Euler's method and slope fields. The second focus is the notion of convergence, as manifested in improper integrals, sequences and series, particularly Taylor series. Prerequisite: MATH 111 or AP score of 4 or 5 on Calculus AB exam or an AB subscore of 4 or 5 on the Calculus BC exam or permission of instructor. Offered every semester. | Credit: 0.5 | ||

MWF T | 2:10 pm-3:00 pm 2:40 pm-4:00 pm | QR | |||

Seats filled/limit: 1/25 | |||||

Staff | NEW | ||||

80250 | MATH 128.00 | Hist of Math in Islamic World This course examines an important and interesting part of the history of mathematics and, more generally, the intellectual history of humankind: the history of mathematics in the Islamic world. Some of the most fundamental notions in modern mathematics have their roots here, such as the modern number system, the fields of algebra and trigonometry, and the concept of algorithm, among others. In addition to studying specific contributions of medieval Muslim mathematicians in the areas of arithmetic, algebra, geometry and trigonometry in some detail, we will examine the context in which Islamic science and mathematics arose, and the role of religion in this development. The rise of Islamic science and its interactions with other cultures (e.g., Greek, Indian and Renaissance Europe) tell us much about larger issues in the humanities. Thus, this course has both a substantial mathematical component (60-65 percent) and a significant history and social science component (35-40 percent), bringing together three disciplines: mathematics, history, and religion. The course is a part of the Islamic Civilization and Cultures Program and fulfills the QR requirement. No prerequisite is needed beyond high school algebra and geometry but solid knowledge in algebra and geometry is needed. | Credit: 0.5 | ||

MWF | 11:10 am-12:00 pm | QR | |||

Seats filled/limit: 24/25 | |||||

Aydin, Nuh | NEW | ||||

80676 | MATH 191.00 | Special Topic: First-year Seminar in Mathematics The first-year seminar in mathematics provides an introduction to the rich and diverse nature of mathematics. Topics covered will vary but will typically span algebra and number theory, dynamical systems, probability and statistics, discrete mathematics, topology, geometry, logic, analysis and applied math. The course includes guest lectures from professors at Kenyon, a panel discussion with upper-class math majors, and opportunities to learn about summer experiences and careers in mathematics. The course goals are three-fold: 1) to provide an overview of modern mathematics, which while not exhaustive will expose students to some exciting open questions and research problems in mathematics; 2) to introduce students to some of the mathematical research being done at Kenyon; and 3) to answer whatever questions students might have during their first semester here, while exposing them to useful resources and opportunities that are helpful in launching a meaningful college experience. Open only to first-year students. Prerequisite or corequisite: MATH 112 (or equivalent) and concurrently enrolled in another MATH, STAT or SCMP course or permission of instructor. | Credit: 0.5 | ||

TR | 1:10 pm-2:30 pm | QR | |||

Seats filled/limit: 0/20 | |||||

Holdener, Judy | |||||

80246 | MATH 213.01 | Calculus III The third in a three-semester calculus sequence, this course examines differentiation and integration in three dimensions. Topics of study include functions of more than one variable, vectors and vector algebra, partial derivatives, optimization and multiple integrals. Some of the following topics from vector calculus also will be covered as time permits: vector fields, line integrals, flux integrals, curl and divergence. Prerequisite: MATH 112 or a score of 4 or 5 on the BC Calculus AP exam or permission of instructor. | Credit: 0.5 | ||

MWF | 11:10 am-12:00 pm | QR | |||

Seats filled/limit: 19/25 | |||||

Holdener, Judy | |||||

80249 | MATH 213.02 | Calculus III The third in a three-semester calculus sequence, this course examines differentiation and integration in three dimensions. Topics of study include functions of more than one variable, vectors and vector algebra, partial derivatives, optimization and multiple integrals. Some of the following topics from vector calculus also will be covered as time permits: vector fields, line integrals, flux integrals, curl and divergence. Prerequisite: MATH 112 or a score of 4 or 5 on the BC Calculus AP exam or permission of instructor. | Credit: 0.5 | ||

MWF | 12:10 pm-1:00 pm | QR | |||

Seats filled/limit: 6/25 | |||||

Holdener, Judy | |||||

80248 | MATH 224.00 | Linear Algebra This course will focus on the study of vector spaces and linear functions between vector spaces. Ideas from linear algebra are highly useful in many areas of higher-level mathematics. Moreover, linear algebra has many applications to both the natural and social sciences, with examples arising often in fields such as computer science, physics, chemistry, biology and economics. In this course, we will use a computer algebra system, such as Maple or Matlab, to investigate important concepts and applications. Topics to be covered include methods for solving linear systems of equations, subspaces, matrices, eigenvalues and eigenvectors, linear transformations, orthogonality and diagonalization. Applications will be included throughout the course. Prerequisite: MATH 213. Typically offered three out of four semesters. | Credit: 0.5 | ||

MWF | 12:10 pm-1:00 pm | QR | |||

Seats filled/limit: 25/25 | |||||

Staff | |||||

80256 | MATH 227.00 | Combinatorics Combinatorics is, broadly speaking, the study of finite sets and finite mathematical structures. A great many mathematical topics are included in this description, including graph theory, combinatorial designs, partially ordered sets, networks, lattices and Boolean algebras and combinatorial methods of counting, including combinations and permutations, partitions, generating functions, recurring relations, the principle of inclusion and exclusion, and the Stirling and Catalan numbers. This course will cover a selection of these topics. Combinatorial mathematics has applications in a wide variety of nonmathematical areas, including computer science (both in algorithms and in hardware design), chemistry, sociology, government and urban planning; this course may be especially appropriate for students interested in the mathematics related to one of these fields. Prerequisite: MATH 112 or a score or 4 or 5 on the BC Calculus AP exam or permission of instructor. Offered every other year. | Credit: 0.5 | ||

MWF | 2:10 pm-3:00 pm | QR | |||

Seats filled/limit: 12/25 | |||||

Jones, Brian | |||||

80257 | MATH 231.00 | Mathematical Problem Solving Looking at a problem in a creative way and seeking out different methods toward solving it are essential skills in mathematics and elsewhere. In this course, students will build their problem-solving intuition and skills by working on challenging and fun mathematical problems. Common problem-solving techniques in mathematics will be covered in each class meeting, followed by collaboration and group discussions, which will be the central part of the course. The course will culminate with the Putnam exam on the first Saturday in December. Interested students who have a conflict with that date should contact the instructor. Prerequisite: MATH 112 or a score of 4 or 5 on the BC Calculus exam or permission of instructor. | Credit: 0.25 | ||

M | 7:00 pm-10:00 pm | ||||

Seats filled/limit: 4/20 | |||||

Snipes, Marie | |||||

80244 | MATH 335.00 | Abstract Algebra I Abstract algebra is the study of algebraic structures that describe common properties and patterns exhibited by seemingly disparate mathematical objects. The phrase "abstract algebra" refers to the fact that some of these structures are generalizations of the material from high school algebra relating to algebraic equations and their methods of solution. In Abstract Algebra I, we focus entirely on group theory. A group is an algebraic structure that allows one to describe symmetry in a rigorous way. The theory has many applications in physics and chemistry. Since mathematical objects exhibit pattern and symmetry as well, group theory is an essential tool for the mathematician. Furthermore, group theory is the starting point in defining many other more elaborate algebraic structures including rings, fields and vector spaces. In this course, we will cover the basics of groups, including the classification of finitely generated abelian groups, factor groups, the three isomorphism theorems and group actions. The course culminates in a study of Sylow theory. Throughout the semester there will be an emphasis on examples, many of them coming from calculus, linear algebra, discrete math and elementary number theory. There also will be a couple of projects illustrating how a formal algebraic structure can empower one to tackle seemingly difficult questions about concrete objects (e.g., the Rubik's cube or the card game SET). Finally, there will be a heavy emphasis on the reading and writing of mathematical proofs. Junior standing is recommended. Prerequisite: MATH 222 or permission of instructor. Offered every other fall. | Credit: 0.5 | ||

MWF | 10:10 am-11:00 am | QR | |||

Seats filled/limit: 22/20 | |||||

Aydin, Nuh | |||||

80253 | MATH 336.00 | Probability This course provides a calculus-based introduction to probability. Topics include basic probability theory, random variables, discrete and continuous distributions, mathematical expectation, functions of random variables, and asymptotic theory. Prerequisite: MATH 213. Offered every fall. | Credit: 0.5 | ||

MWF | 1:10 pm-2:00 pm | QR | |||

Seats filled/limit: 15/20 | |||||

Snipes, Marie | |||||

80612 | STAT 106.01 | Elements of Statistics This is a basic course in statistics. The topics to be covered are the nature of statistical reasoning, graphical and descriptive statistical methods, design of experiments, sampling methods, probability, probability distributions, sampling distributions, estimation and statistical inference. Confidence intervals and hypothesis tests for means and proportions will be studied in the one- and two-sample settings. The course concludes with inference regarding correlation, linear regression, chi-square tests for two-way tables, and one-way ANOVA. Statistical software will be used throughout the course, and students will be engaged in a wide variety of hands-on projects. No prerequisite. Offered every semester. | Credit: 0.5 | ||

MWF | 10:10 am-11:00 am | QR | |||

Seats filled/limit: 20/25 | |||||

Jones, Brian | NEW | ||||

80613 | STAT 106.02 | Elements of Statistics This is a basic course in statistics. The topics to be covered are the nature of statistical reasoning, graphical and descriptive statistical methods, design of experiments, sampling methods, probability, probability distributions, sampling distributions, estimation and statistical inference. Confidence intervals and hypothesis tests for means and proportions will be studied in the one- and two-sample settings. The course concludes with inference regarding correlation, linear regression, chi-square tests for two-way tables, and one-way ANOVA. Statistical software will be used throughout the course, and students will be engaged in a wide variety of hands-on projects. No prerequisite. Offered every semester. | Credit: 0.5 | ||

MWF | 11:10 am-12:00 pm | QR | |||

Seats filled/limit: 14/25 | |||||

Jones, Brian | NEW | ||||

80614 | STAT 106.03 | Elements of Statistics This is a basic course in statistics. The topics to be covered are the nature of statistical reasoning, graphical and descriptive statistical methods, design of experiments, sampling methods, probability, probability distributions, sampling distributions, estimation and statistical inference. Confidence intervals and hypothesis tests for means and proportions will be studied in the one- and two-sample settings. The course concludes with inference regarding correlation, linear regression, chi-square tests for two-way tables, and one-way ANOVA. Statistical software will be used throughout the course, and students will be engaged in a wide variety of hands-on projects. No prerequisite. Offered every semester. | Credit: 0.5 | ||

MWF | 1:10 pm-2:00 pm | QR | |||

Seats filled/limit: 20/25 | |||||

Milnikel, Robert | NEW | ||||

80615 | STAT 106.04 | Elements of Statistics | Credit: 0.5 | ||

MWF | 2:10 pm-3:00 pm | QR | |||

Seats filled/limit: 9/25 | |||||

Milnikel, Robert | NEW | ||||

80616 | STAT 206.00 | Data Analysis This course focuses on choosing, fitting, assessing and using statistical models. Simple linear regression, multiple regression, analysis of variance, general linear models, logistic regression and discrete data analysis will provide the foundation for the course. Classical interference methods that rely on the normality of the error terms will be thoroughly discussed, and general approaches for dealing with data where such conditions are not met will be provided. For example, distribution-free techniques and computer-intensive methods, such as bootstrapping and permutation tests, will be presented. Students will use statistical software throughout the course to write and present statistical reports. The culminating project will be a complete data analysis report for a real problem chosen by the student. The MATH 106-206 sequence provides a thorough foundation for statistical work in economics, psychology, biology, political science and many other fields. Prerequisite: MATH 106 or 116 or a score of 4 or 5 on the Statistics AP exam. Offered every spring. | Credit: 0.5 | ||

MWF | 10:10 am-11:00 am | QR | |||

Seats filled/limit: 21/25 | |||||

Hartlaub, Bradley | |||||

80679 | STAT 291.00 | Special Topic: Statistical Computing with R This course provides a mathematical introduction to probability and statistics using R statistical software. The primary goal of the course is to learn and apply Monte-Carlo simulation techniques to a wide variety of problems. Case studies and projects will be independently completed throughout the semester. Most of the statistical methods examined in this course are not part of any other mathematics course at Kenyon College. Prerequisite: MATH 106, 116 or AP Statistics score of 4 or 5 or permission of instructor. | Credit: 0.5 | ||

MWF | 1:10 pm-2:00 pm | ||||

Seats filled/limit: 14/20 | |||||

Hartlaub, Bradley |