MATH 110 Mathematics in a Global Context (HP, QS)
An historical survey of mathematical ideas (arithmetic, geometry, algebra)
in various cultural contexts. The emphasis is on the mathematical content.
Note: This course is not available for credit to students who had MATH
130 or equivalent. These students are referred, instead, to MATH 280.
Prerequisite: LBST 100.
MATH 115 Mathematics in Contemporary Issues (CW, QS, SB)
A survey of problems of social conflict, fairness, and uses of mathematics
in the modern world, emphasizing mathematical analysis of political and
social structures. Topics may include voting methods, power
distributions, apportionment, fair division, graph theory, coding theory,
and scheduling problems.
MATH 120 Functions and Models (QS)
Study of algebraic, trigonometric, exponential and logarithmic functions
within the context of mathematical modeling.
MATH 130 Calculus I (QS, NS)
Study of limits, differentiation, and integration of functions of one variable.
Prerequisite: MATH 120 or its equivalent.
MATH 140 Calculus II (QS, NS)
Further aspects of integration of functions of one variable. Infinite series. Prerequisite: MATH 130 or advanced placement.
MATH 195 Mathematical Problem Solving
[SP]
Practical sessions in solving challenging problems in mathematics
(possible sources: periodicals, problem collection books, or Putnam
exams). The class meets biweekly to discuss solutions and receive new
assignments. Most problems are solved between sessions, individually or
in groups. A student receives one course credit after four semesters of
successful problem solving. Prerequisite: MATH 130 or consent of instructor.
MATH 215 Statistical Analysis
An introduction to some of the mathematical and statistical
methods used in the analysis of social and natural scientific
phenomena with an emphasis on the interpretation of experimental
and survey data. Topics include elementary and combinatorial
designs, basic statistical methods, correlation and inference,
and regression analysis. Applications to the students' major
disciplines will be included throughout the course as well as in
a culminating project. (This course will not satisfy any
requirements for a major or minor in mathematics. Students may not
receive credit for both this course and another introductory
statistics course such as PSYC 290 or BUSI 250.)
Prerequisite: Sophomore standing or higher.
MATH 230 Multivariable Calculus
Vectors and coordinate systems in two and three dimensions, vector-valued
functions, functions of several variables, extrema, multiple integrals,
vector fields, including fundamental theorems of vector calculus. This
course will have an emphasis on developing geometric intuition. Offered
in alternate years. Prerequisite: MATH 140 or consent of instructor.
MATH 240 Discrete Mathematics (NS)
An introduction to the discrete paradigm in mathematics and computer
science. Topics include induction, recursion, algorithmic
problem-solving, graph theory, number theory, and counting techniques.
Prerequisite: MATH 130 or consent of instructor.
MATH 260 Differential Equations (NS)
Study of ordinary differential equations and systems of equations, through
the use of analytic, qualitative/ geometric, and numerical techniques.
Applications from physics, biology, chemistry, engineering, economics,
and psychology will be presented. Prerequisite: MATH 140.
MATH 270 Linear Algebra (NS)
Solving linear systems, matrix algebra, vector spaces and linear
transformations, eigenvectors, orthogonality. Prerequisite: MATH 130.
MATH 280 History of Mathematics (HP, W2)
A survey of mathematical ideas and discoveries in their historical context.
The course combines mathematics (proofs and problems) with readings
on its development. Offered in alternate years. Prerequisite: MATH 130 or
consent of instructor.
MATH 290 Introduction to Advanced Mathematics (W2)
Fundamentals of set theory, logic, and functions. Emphasis is on
developing the students' theorem-proving skills, independent work,
written and oral communication skills, and ability to critique others' work.
Prerequisite: MATH 140 and completion of or concurrent enrollment in MATH 240.
MATH 310 Mathematical Probability and Statistics
Theory of probability and mathematical statistics including an
introduction to basic concepts of probability theory,
discrete and continuous random variables,
distribution theory, moment-generating functions,
and the Central Limit Theorem. Other topics may include the
theory of statistical inference, point estimation, confidence
intervals, regression, hypothesis testing, and analysis of
variance. Offered in alternate years. Prerequisite: MATH 140.
MATH 320 Algebra
Introduction to classical algebraic systems and their morphisms. Topics
include groups, rings, fields, substructures, ideals, homomorphisms, and
quotients. Offered in alternate years. Prerequisite: MATH 290.
MATH 340 Combinatorics
Continues the ideas of counting, graph theory, and algorithms from
Mathematics 240. Topics may include Ramsey Theory, designs, coding
theory, generating functions, and optimization. Offered in alternate years.
Prerequisite: MATH 240.
MATH 350 Real Analysis
A rigorous study of the structure of the real line and the properties
of real-valued functions. Topics include sequences, limits, continuity,
differentiabililty, and integrability. Offered in alternate years.
Prerequisite: MATH 290.
MATH 420 Seminar in Algebra
Algebraic topics that extend the fundamental ideas in MATH 320 will be
presented. Offered in alternate years. Prerequisite: MATH 320.
MATH 450 Seminar in Analysis
Analytic topics that extend the fundamental ideas in Mathematics 350
will be presented. Offered in alternate years. Prerequisite: MATH 350.
MATH 490 Advanced Topics in
Mathematics [UR]
Faculty-student seminar. Content will vary according to the interests of
the participants and instructor. Past offerings include Great Theorems in
Mathematics and Their Proofs, Dynamical Systems, Number Theory, Topology,
Wavelets and Wavelet Transforms, Complex Variables, and
Introduction to Category Theory. Prerequisite: consent of instructor.
MATH 497 Senior Seminar
A required seminar for all senior mathematics majors which meets
throughout the academic year. Each student will develop an individual
research project under the direction of a faculty member and present the
results both orally and in written form.