Course |
MATH 107 Topics in Geometrical
Math
|
|
Professor |
Ethan Bloch |
|
CRN |
16296 |
|
Schedule |
Tu
Th 1:00 -2:20 pm OLINLC 115
|
|
Distribution |
OLD: E/Q |
NEW: Math
and 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. On-line
Course |
MATH 110 Precalculus Mathematics
|
|
Professor |
Jan Rizzuti |
|
CRN |
16298 |
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Schedule |
Mon
Wed 1:00 -2:20 pm HEG 106
|
|
Distribution |
OLD: E/Q |
NEW: Math
and 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. On-line
Course |
MATH 131 Exploration in Number
Theory
|
|
Professor |
Lauren Rose |
|
CRN |
16297 |
|
Schedule |
Tu
Th 10:30 - 11:50 am HEG 106
|
|
Distribution |
OLD: E/G/Q |
NEW: Math
and Computing
|
This course will provide an overview of one of the
oldest and most beautiful areas of mathematics. It is ideal for any student who
wants a taste of mathematics outside of the calculus sequence. Topics may
include: number puzzles, prime numbers, congruences, quadratic reciprocity,
sums of squares, Diophantine equations, cryptography, coding theory, and
continued fractions. Prerequisite:
Precalculus or permission of the instructor.
On-line
Course |
MATH 141 Calculus I
|
|
Professor |
Joe Kirtland
|
|
CRN |
16299 |
|
Schedule |
Mon Wed 6:40
-8:30 pm HEG 102 |
|
Distribution |
OLD: E/G/Q |
NEW: Math
and 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. On-line
Course |
MATH 142 Calculus II
|
|
Professor |
Jules Albertini
|
|
CRN |
16300 |
|
Schedule |
Mon
Wed 2:30 -4:20 pm HEG
106
|
|
Distribution |
OLD: E/G/Q |
NEW: Math
and 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. On-line
Course |
MATH 212 Calculus III
|
|
Professor |
Sheila Sundaram
|
|
CRN |
16301 |
|
Schedule |
Tu
Th 1:00 -2:50 pm HEG 106
|
|
Distribution |
OLD: E/Q |
NEW: Math
and Computing
|
This course investigates differentiation and
integration of multivariable functions. Topics covered include vectors,
coordinate systems, vector valued functions, partial derivatives, gradients,
Lagrange multipliers, multiple integrals, change of variables, line integrals,
Green’s theorem, and Stoke’s theorem.
Prerequisite: Mathematics 141 and 142 or the
equivalent. On-line
Course |
MATH 242 Elementary Linear Algebra
|
|
Professor |
Sheila Sundaram
|
|
CRN |
16302 |
|
Schedule |
Tu
Th 9:00 - 10:20 am HEG 106
|
|
Distribution |
OLD: E/Q |
NEW: Math
and Computing
|
This course will cover the basics of linear algebra
in n-dimensional Euclidean space, including vectors, matrices, systems of
linear equations, determinants, eigenvalues and eigenvectors, as well as
applications of these concepts to the natural, physical and social
sciences. Equal time will be given to
computational, applied, and theoretical aspects of the course material. Prerequisite: Math 111 or permission of the
instructor. On-line
Course |
MATH 261 Proofs and Fundamentals
|
|
Professor |
Ethan Bloch
|
|
CRN |
16303 |
|
Schedule |
Mon
Wed 3:00 -4:20 pm OLINLC 115
|
|
Distribution |
OLD: E/Q |
NEW: Math
and 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. On-line
Course |
MATH 302 Enumerative
Combinatorics
|
|
Professor |
Mark Halsey
|
|
CRN |
16476 |
|
Schedule |
TBA
|
|
Distribution |
OLD: n/a |
NEW: n/a
|
2 credits In this course we develop the basic methods
of enumeration which include elementary counting techniques, the
inclusion-exclusion principle, and generating functions. We will apply
these counting methods to fundamental combinatorial structures such as trees
and permutations. On-line
Course |
MATH 332 Abstract Algebra
|
|
Professor |
Lauren Rose
|
|
CRN |
16304 |
|
Schedule |
Mon
Wed 1:30 -2:50 pm ALBEE 106
|
|
Distribution |
OLD: E/Q |
NEW: Math
and 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. On-line
Course |
MATH 432 Advanced Algebra
|
|
Professor |
Lauren Rose
|
|
CRN |
16305 |
|
Schedule |
Tu Th
3:00 -4:20 pm HEG 106
|
|
Distribution |
OLD: E/Q |
NEW: Math
and Computing
|
This course is a continuation of Mathematics
332. The primary goal is to develop the
Galois theory of fields. Toward that
end we study the theory of field extensions including algebraic extensions,
automorphisms of fields, splitting fields, and separable extensions. As time permits we may develop some topics
in advanced group theory such as series of groups and the Sylow theorems. Prerequisites: Mathematics 331 and 332, or permission of
the instructor. On-line