*Displaying courses for Fall 2015*

**Log in** to plan your semester and create a list of courses to bring to your adviser.

Search for textbooks required by your classes

You may mix and match any of the browse option below.

*Entries in grey have reached their registration limit.*

80342 | MATH 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 | 9:10 am-10:00 am | QR | |||

Seats filled/limit: 7/25 | |||||

Staff | |||||

80343 | MATH 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: 12/25 | |||||

Milnikel, Robert | |||||

80344 | MATH 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 | 12:10 pm-1:00 pm | QR | |||

Seats filled/limit: 7/25 | |||||

Milnikel, Robert | |||||

80345 | 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. Students who have credit for MATH 110Y-111Y may not take this course. | Credit: 0.5 | ||

MWF R | 8:10 am-9:00 am 8:10 am-9:00 am | QR | |||

Seats filled/limit: 2/25 | |||||

Staff | |||||

80346 | 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. Students who have credit for MATH 110Y-111Y may not take this course. | Credit: 0.5 | ||

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

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

Farnell, Shawn | |||||

80347 | 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 permission of instructor. Offered every semester. | Credit: 0.5 | ||

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

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

Farnell, Elin | |||||

80348 | 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 permission of instructor. Offered every semester. | Credit: 0.5 | ||

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

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

Farnell, Elin | |||||

80341 | MATH 191.00 | Special Topic: The Art of Mathematics Did you ever wonder when your mathematics courses would stop promising to show you that mathematics is all around you and finally get around to it? Did you like mathematics best when you got to play around with cool ideas and least when the instructor droned on and on about some algebraic topic that seemed to be both impenetrable and completely insignificant? Then this is the course for you! This course is designed to provide you with the opportunity to see mathematics more broadly as the study of patterns of all sorts by means of hands-on investigations. (There will be essentially no lectures in this class.) You will gain a broader appreciation of mathematics by exploring ways in which the artistic, aesthetic, intellectual and humanistic aspects of mathematics are as important as its utility. Topics may include: music, dance, art and sculpture, games, topology, chaos and fractals, symmetry, elementary number theory, modern geometry and mathematical reasoning. This course will satisfy the QR requirement. No prerequisite. | Credit: 0.5 | ||

TR | 9:40 am-11:00 am | QR | |||

Seats filled/limit: 20/20 | Waitlist | ||||

Schumacher, Carol | |||||

80349 | MATH 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 MATH 116. Offered every spring. | Credit: 0.5 | ||

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

Seats filled/limit: 11/20 | |||||

Hartlaub, Bradley | |||||

80350 | 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 permission of instructor. | Credit: 0.5 | ||

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

Seats filled/limit: 2/25 | |||||

Holdener, Judy | |||||

80351 | 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 permission of instructor. | Credit: 0.5 | ||

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

Seats filled/limit: 3/25 | |||||

Holdener, Judy | |||||

80352 | MATH 222.00 | Foundations This course introduces students to mathematical reasoning and rigor in the context of set-theoretic questions. The course will cover basic logic and set theory, relations--including orderings, functions and equivalence relations--and the fundamental aspects of cardinality. Emphasis will be placed on helping students in reading, writing and understanding mathematical reasoning. Students will be actively engaged in creative work in mathematics. Students interested in majoring in mathematics should take this course no later than the spring semester of their sophomore year. Advanced first-year students interested in mathematics are encouraged to consider taking this course in their first year. (Please see a member of the mathematics faculty if you think you might want to do this.) Prerequisite: MATH 213 or permission of instructor. Offered every semester. | Credit: 0.5 | ||

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

Seats filled/limit: 3/15 | |||||

Schumacher, Carol | |||||

80353 | 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. Offered every fall. | Credit: 0.5 | ||

MWF | 9:10 am-10:00 am | QR | |||

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

Farnell, Elin | |||||

80356 | 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 equivalent. | Credit: 0.25 | ||

W | 7:00 pm-10:00 pm | ||||

Seats filled/limit: 3/15 | |||||

Jones, Brian | |||||

80357 | 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 | 9:10 am-10:00 am | QR | |||

Seats filled/limit: 15/15 | Waitlist | ||||

Holdener, Judy | |||||

80358 | 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: 12/20 | |||||

Jones, Brian | |||||

80359 | MATH 352.00 | Complex Functions The course starts with an introduction to the complex numbers and the complex plane. Next students are asked to consider what it might mean to say that a complex function is differentiable (or analytic, as it is called in this context). For a complex function that takes a complex number z to f(z), it is easy to write down (and make sense of) the statement that f is analytic at z if exists. Subsequently, we will study the amazing results that come from making such a seemingly innocent assumption. Differentiability for functions of one complex variable turns out to be a very different thing from differentiability in functions of one real variable. Topics covered will include analyticity and the Cauchy-Riemann equations, complex integration, Cauchy's theorem and its consequences, connections to power series, and the residue theorem and its applications. Prerequisite: MATH 224. Offered every other year. | Credit: 0.5 | ||

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

Seats filled/limit: 9/15 | |||||

Farnell, Shawn |