Course

MATH
107 Topics
in Geometrical Math


Professor 
Ethan Bloch 

CRN 
15259 

Schedule 
M W 1:30  2:50 pm OLINLC 115 

Distribution 
OLD: E/Q 
NEW: Math & Computing

Geometrical mathematics
involves many topics other than traditional Euclidean geometry. This course
explores topics that vary from semester to semester and may include some, but
not all of the following: symmetry, groups, frieze and wallpaper patterns,
graphs, surfaces, knots, and higher dimensions.
Prerequisite: eligibility for Q courses and a willingness to
explore new ideas and construct convincing arguments is a necessity.
Course

MATH
110
Precalculus Mathematics


Professor 
TBA 

CRN 
15260 

Schedule 
M W 3:00 – 4:20 pm ALBEE 106 

Distribution 
OLD: E/Q 
NEW: Math & Computing

A course for students
who intend to take calculus and need to acquire the necessary skills in algebra
and trigonometry. The concept of function is stressed, with particular
attention given to linear, quadratic, general polynomial, trigonometric,
exponential, and logarithmic functions. Graphing in the Cartesian plane and
developing the trigonometric functions as circular functions are included.
Prerequisites: eligibility for Q courses.
Course

MATH
141
Calculus I


Professor 
Sheila Sundaram 

CRN 
15261 

Schedule 
Tu Th 1:00  2:50 pm Hegeman 106 

Distribution 
OLD: E/G/Q 
NEW: Math & Computing

An introduction to the
basic ideas of differentiation and integration in one variable. Topics include
limits, techniques of differentiation, definite integrals, the fundamental
theorem of calculus, and applications.
Prerequisite: Precalculus or the equivalent.
Course

MATH
142
Calculus II


Professor 
Jeff Suzuki 

CRN 
15262 

Schedule 
M W 1:00  2:50 pm HEG 106 

Distribution 
OLD: E/G/Q 
NEW: Math & Computing

This
course, a continuation of Calculus I, reinforces the fundamental ideas of the
derivative and the definite integral.
Topics covered include L'Hopital's rule, integration techniques,
improper integrals, volumes, arc length, sequences and series, power series, continuous random variables, and
separable differential equations.
Prerequisites: Mathematics 141 or the equivalent.
Course

MATH
161
Discrete Mathematics


Professor 
Mark Halsey 

CRN 
15263 

Schedule 
Wed Fr 11:30  12:50 pm OLINLC 115 

Distribution 
OLD: E/Q 
NEW: Math & Computing

As a complement to
calculus, which models continuous phenomena, this course studies discrete
processes and structures. Discrete mathematics
provides the mathematical foundation for many areas of computation and can be
applied to such diverse problems as designing an optimal phoneswitching
network and designing a computer circuit.
Five core areas of discrete mathematics will be covered: enumeration and
recurrence relations; fundamentals of logic; sets, relations, and functions;
recursion and induction, and basic graph theory. As time permits we will cover other topics that may include: elementary
probability theory, generating functions; discrete optimization; modular
arithmetic and finite groups; and Boolean algebra. Along the way a brief introduction to the methods of
mathematical proof will be given. Prerequisite: One semester of calculus or permission of
the instructor.
Course

MATH
211
Ordinary Differential Equations


Professor 
Melvin Chen 

CRN 
15264 

Schedule 
M W 1:00  2:50 pm Albee 106 

Distribution 
OLD: E/G/Q 
NEW: Math & Computing

This course is an introduction
to ordinary differential equations. The course is organized around methods for
solving ordinary differential equations, and incorporates many ideas from
Calculus. Topics include the classification of differential equations,
determining existence and uniqueness of ordinary differential equations, and
solving first and second order differential equations using a variety of
mathematical tools such as integrating factors, Laplace transforms and power
series.
Prerequisite: Mathematics 141 and 142, or permission of
instructor.
Course

MATH
261
Proofs and Fundamentals


Professor 
Ethan Bloch 

CRN 
15265 

Schedule 
Tu Th 1:30  2:50 pm Albee 106 

Distribution 
OLD: E/Q 
NEW: Math & Computing

This course introduces students
to the methodology of mathematical proof. The logic of compound and quantified
statements, mathematical induction, and basic set theory including functions
and cardinality are covered. Topics from foundational mathematics are developed
to provide students with an opportunity to apply proof techniques.
Prerequisite: Mathematics 141 and 142, or permission of
instructor.
Course

MATH
332
Abstract Algebra


Professor 
Sheila Sundaram 

CRN 
15266 

Schedule 
Tu Th 10:00  11:20 am Albee 106 

Distribution 
OLD: E/Q 
NEW: Math & Computing

An introduction to
modern abstract algebraic systems. The structures of groups, rings, and fields
are studied together with the homomorphisms of these objects. Topics include equivalence
relations, finite groups, group actions, integral domains, polynomial rings,
and finite fields.
Prerequisite: Mathematics 261 or permission of the instructor.
Course

MATH
405
Mathematical Logic


Professor 
Robert McGrail 

CRN 
15267 

Schedule 
M W 3:00  4:20 pm HEG 106 

Distribution 
OLD: E/G/Q 
NEW: Math & Computing

An introduction to
mathematical logic. Topics include firstorder logic, completeness and compactness
theorems, model theory, nonstandard analysis, decidability and undecidability,
incompleteness, and Turing machines.
Prerequisites:
Mathematics 332 or permission of instructor.