MATH

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

course has an emphasis on the origins of mathematics, and a focus on mathematics as a creative endeavor. This course does not count toward the major or minor in mathematics. (Offered each semester)

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

variety of areas. The modern world is built of numbers. In science, medicine, business, politics, and even culture, numbers are used to bolster claims and debunk conventional wisdom. A deeper understanding of the mathemat- ics behind these arguments can help us determine what to trust and when to doubt, teach us how to weigh the risks versus rewards, and allow us to come to grapple with the vast scale of the universe and the national debt. HWS.EDU/CATALOGUE 303 2023 - 2024 CATALOGUE

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

mathematics. This course will develop a student’s abilities to reason mathematically, to solve mathematical prob- lems, and to communicate mathematical ideas effectively. Primary attention will be devoted to mathematical reason- ing in areas drawn from number systems and algebraic structures, number theory, algebra and geometry, probability and statistics, and discrete mathematics. Students will gain a deeper understanding of the nature and structure of mathematics, and more specifically of how elementary school mathematics is embedded within the broader disci- pline of mathematics. Prerequisite: must be in the Teacher Education Program pursuing certification to teach in an elementary school setting. (Offered alternate years) MATH 130 Calculus I This course offers a standard introduction to the concepts and techniques of the differential calculus of functions of one variable. A problem-solving lab is an integral part of the course. This course does not count towards the major in mathematics. Prerequisite: Satisfactory performance on the department’s placement exam, or MATH 100. (Offered each semester) MATH 131 Calculus II This course is a continuation of the topics covered in MATH 130 with an emphasis on integral calculus, sequences, and series. A problem-solving lab is an integral part of the course. Prerequisite: MATH 130 or permission of the instructor. (Offered each semester)

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

ery, and argument. It aims to acquaint students with the nature of mathematics as a creative endeavor, demon- strates the methods and structure of mathematical proof, and focuses on the development of problem-solving skills. Specific topics covered vary from year to year. MATH 135 is required for the major and minor in mathematics.

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Prerequisite

MATH 131, MATH 232 or permission of the instructor. (Offered annually)

the most important topics are general vector spaces and their subspaces, linear independence, spanning and basis sets, solution space for systems of linear equations, and linear transformations and their matrix representations. It is designed to develop an appreciation for the process of mathematical abstraction and the creation of a mathemati- cal theory. Prerequisites: MATH 131 or MATH 232, and MATH 135 strongly suggested, or permission of the instructor. Required for the major in mathematics. (Offered annually) MATH 214 Applications of Linear Algebra A continuation of linear algebra with an emphasis on applications. Among the important topics are eigenvalues and eigenvectors, diagonalization, and linear programming theory. The course explores how the concepts of linear algebra are applied in various areas, such as, graph theory, game theory, differ- ential equations, Markov chains, and least squares approximation. Prerequisite: MATH 204. (Offered alternate years) MATH 232 Multivariable Calculus A study of the concepts and techniques of the calculus of functions of several vari- ables, this course is required for the major in mathematics. Prerequisite: MATH 131. (Offered annually) MATH 237 Differential Equations This course is an introduction to the theory, solution techniques, and applications of ordinary differential equations. Models illustrating applications in the physical and social sciences are investigated. The mathematical theory of linear differential equations is explored in depth. Prerequisites: MATH 232 and 204, or permission of the instructor. MATH 204 may be taken concurrently. (Offered annually)

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

lems, some solved and some unsolved. Topics include divisibility, primes, congruences, number theoretic functions, primitive roots, quadratic residues, and quadratic reciprocity, with additional topics selected from perfect numbers, Fermat’s Theorem, sums of squares, and Fibonacci numbers. Prerequisites: MATH 131 and MATH 204, or permission of the instructor. (Offered alternate years) MATH 313 Graph Theory A graph is an ordered pair (V,E) where V is a set of elements called vertices and E is a set of unordered pairs of elements of V called edges. This simple definition can be used to model many ideas and applications. While many of the earliest records of graph theory relate to the studies of strategies of games such as chess, mathematicians realized that graph theory is powerful well beyond the realm of recreational activity. In this class, we will begin by exploring the basic structures of graphs including connectivity, subgraphs, isomorphisms and trees. Then we will investigate some of the major results in areas of graph theory such as traversability, color- ing and planarity. Course projects may also research other areas such as independence, domination and matching. HWS.EDU/CATALOGUE 304 2023 - 2024 CATALOGUE

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

regarding limits, continuity, differentiability, integrability, sequences, and series for functions of a single variable.

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Prerequisite

MATH 135 and MATH 204. (Offered annually)

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

student’s ability to solve problems and build models. Topics include discrete and continuous probability, random variables, density functions, distributions, the Law of Large Numbers, and the Central Limit Theorem. Prerequisite: MATH 232 or permission of instructor. (Offered alternate years) MATH 351 Mathematical Statistics This is a course in the basic mathematical theory of statistics. It includes the the- ory of estimation, hypothesis testing, and linear models, and, if time permits, a brief introduction to one or more fur- ther topics in statistics (e.g., nonparametric statistics, decision theory, experimental design). In conjunction with an investigation of the mathematical theory, attention is paid to the intuitive understanding of the use and limitations of statistical procedures in applied problems. Students are encouraged to investigate a topic of their own choosing in statistics. Prerequisite: MATH 350. (Offered alternate years)

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

PSY 201 + 202 Statistics in the Psychological Science / Introduction to Research Methods in Psychological Science Public Health Core Electives Natural Science Division:

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

HWS.EDU/CATALOGUE 24

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

HWS.EDU/CATALOGUE 305 2023 - 2024 CATALOGUE

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu

es an advanced topic in mathematics. The development of the topic draws on students’ previous course work and helps consolidate their earlier learning. Students are active participants, presenting material to one another in both oral and written form, and conducting individual research on related questions or analyzing a specific mathemati- cal concept from multiple perspectives. This course may be repeated and count toward the major more than once. instructor. (Offered annually) MATH 495/496 Honors

Subject

MATH

Type

course

Repeatable

may be repeated and count toward the major more than once.

Edition

2023-2024

Source

www.hws.edu

Prerequisite

Complete MATH 331 or MATH 375 with a C- or above, and have either senior status or permission of the

Courses offered occasionally or as demand warrants:

Subject

MATH

Type

course

Edition

2023-2024

Source

www.hws.edu