Elementary
Statistics |
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Professor: Jules Albertini |
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Course
Number: MATH 102 |
CRN
Number: 10412 |
Class cap: 22 |
Credits:
4 |
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Schedule/Location:
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Mon Wed 1:30 PM
- 2:50 PM Hegeman 308 |
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Distributional Area: |
MC Mathematics
and Computing |
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The main focus of this course is to
introduce core ideas in statistics that are needed to make sense of what is
found in media outlets, online surveys, and scientific journals. Most
concepts are introduced in a case-study fashion; statistical software will be
used to analyze data and facilitate classroom discussions. The goal of this
course is to foster statistical reasoning, and to assist in making informed
conclusions about topics involving data. Intended for non-math majors. Prerequisites: passing score on Part I of
the Mathematics Placement. |
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Mathematics and
Politics |
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Professor: Caitlin Leverson |
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Course
Number: MATH 106 |
CRN
Number: 10043 |
Class cap: 22 |
Credits:
4 |
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Schedule/Location:
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Mon Wed 5:10 PM
- 6:30 PM Hegeman 308 |
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Distributional Area: |
MC Mathematics
and Computing |
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This course considers applications of
mathematics to political science. Five
major topics will be covered: a model
of escalatory behavior, game-theoretic models of international conflict,
yes-no voting systems, political power, and social choice. For each model presented, the implications
of the model as well as the limitations of the model will be discussed. Students will be actively involved in the
modeling process. There is no
particular mathematical prerequisite for this course though we will do some
algebraic computations from time to time and discuss deductive proofs of some
of the main results. Prerequisite: passing score on Part I of the Mathematics
Placement. |
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Einstein’s
Relativity |
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Professor: Stefan Mendez-Diez |
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Course
Number: MATH 108 |
CRN
Number: 10044 |
Class cap: 22 |
Credits:
4 |
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Schedule/Location:
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Tue Thurs 10:10 AM
- 11:30 AM Hegeman 204 |
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Distributional Area: |
MC Mathematics
and Computing |
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Albert Einstein first introduced the
world to the theory of special relativity in 1905 with the revolutionary idea
that the speed of light is constant. In 1915 Einstein generalized his theory
to include gravity and by the 1920’s this scientific revolution had creeped
into the public consciousness and began to impact the way the broader
community perceived the world around them. The bulk of this course will focus
on the basic ideas of special relativity, and how the mathematical
consequences of this theory affects the way we understand measuring
everything from length to time, and leads us to consider space and time
together. We will also spend some time exploring the impact this scientific
theory had on literature, through reading Virginia Woolf, and some of the
poetry movements that grew out of a visit Einstein made to New York City in
1921, as well as art of the 1920’s, with a focus on cubism and the larger
modernist movement. We will use the connections between science, literature,
art, and culture to explore the question of what is scientific fact.
Prerequisites: Passing score on Part I of the Math Placement. |
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Precalculus |
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Professor: Japheth Wood |
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Course
Number: MATH 110 |
CRN
Number: 10045 |
Class cap: 22 |
Credits:
4 |
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Schedule/Location:
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Tue Thurs 11:50 AM
- 1:10 PM Hegeman 102 |
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Distributional Area: |
MC Mathematics
and Computing |
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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. Prerequisite: passing score on Part I of
the Math Placement. |
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Calculus I |
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Professor: Daniel Newsome |
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Course
Number: MATH 141 A |
CRN
Number: 10046 |
Class cap: 22 |
Credits:
4 |
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Schedule/Location:
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Mon Wed 3:30 PM
- 4:50 PM Hegeman 204 |
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Distributional Area: |
MC Mathematics
and Computing |
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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. |
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Calculus I |
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Professor: Daniel Newsome |
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Course
Number: MATH 141 B |
CRN
Number: 10047 |
Class cap: 22 |
Credits:
4 |
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Schedule/Location:
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Mon Wed 5:10 PM
- 6:30 PM Hegeman 204 |
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Distributional Area: |
MC Mathematics
and Computing |
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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. |
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Calculus II |
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Professor: Ethan Bloch |
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Course
Number: MATH 142 |
CRN
Number: 10048 |
Class cap: 22 |
Credits:
4 |
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Schedule/Location:
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Tue Thurs 1:30 PM
- 2:50 PM Hegeman 204 |
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Distributional Area: |
MC Mathematics
and Computing |
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This course, a continuation of Calculus
I, reinforces the fundamental ideas of the derivative and the definite
integral. Topics covered include techniques of integration, l'Hopital's rule,
improper integrals, applications of integration, sequence, series and power
series. Prerequisite: MATH 141 Calculus or the equivalent. |
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Calculus II |
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Professor: Lauren Rose |
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Course
Number: MATH 142 B |
CRN
Number: 10049 |
Class cap: 22 |
Credits:
4 |
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Schedule/Location:
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Tue Thurs 3:30 PM
- 4:50 PM Reem Kayden Center 115 |
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Distributional Area: |
MC Mathematics
and Computing |
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|
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This course, a continuation of Calculus
I, reinforces the fundamental ideas of the derivative and the definite
integral. Topics covered include techniques of integration, l'Hopital's rule,
improper integrals, applications of integration, sequence, series and power
series. Prerequisite: MATH 141 Calculus or the equivalent. |
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Linear Algebra |
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Professor: Lauren Rose |
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Course
Number: MATH 242 |
CRN
Number: 10051 |
Class cap: 18 |
Credits:
4 |
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Schedule/Location:
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Tue Thurs 1:30 PM
- 2:50 PM Reem Kayden Center 115 |
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Distributional Area: |
MC Mathematics
and Computing |
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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. Prerequisite: Math 142 or
permission of the instructor. |
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Vector Calculus |
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Professor: Steven Simon |
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Course
Number: MATH 255 |
CRN
Number: 10052 |
Class cap: 18 |
Credits:
4 |
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Schedule/Location:
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Tue Thurs 11:50 AM
- 1:10 PM Hegeman 308 |
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Distributional Area: |
MC Mathematics
and Computing |
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This course investigates differentiation
and integration of vector-valued functions along with related topics in
multivariable calculus. Topics covered include gradient vectors, the chain
rule, optimization, change of variables for multiple integrals, line and
surface integrals, Green’s Theorem, Stokes’ Theorem, and the Divergence
Theorem. Prerequisites: MATH 142 Calculus II and MATH 242 Linear Algebra, or
the equivalent. |
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Proofs and
Fundamentals |
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Professor: Ethan Bloch |
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Course
Number: MATH 261 |
CRN
Number: 10053 |
Class cap: 15 |
Credits:
4 |
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Schedule/Location:
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Tue Thurs 3:30 PM
- 4:50 PM Hegeman 204 |
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Distributional Area: |
MC Mathematics
and Computing |
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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: MATH 142 Calculus II, or permission of instructor. |
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Scientific
Computing |
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Professor: Stefan Mendez-Diez |
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Course
Number: MATH 301 |
CRN
Number: 10054 |
Class cap: 15 |
Credits:
4 |
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Schedule/Location:
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Tue Thurs 11:50 AM
- 1:10 PM Albee 100 |
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Distributional Area: |
MC Mathematics
and Computing |
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Crosslists: Computer Science |
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This course will explore how to solve
continuous problems using numerical methods. Such problems arise in many
mathematical applications. We will discuss the theory of numerical
computation, as well as how to utilize the theory to solve real problems
using the computer software package MATLAB. The course will begin with
learning how to use MATLAB by experimenting with its use in solving
eigenvalue problems. We will then study curve fitting using least squares and
polynomial interpolation, among other methods. We will use these problems to
focus on how to optimize our computer code for parallelization. The course
will conclude by focusing on numerical methods for solving differential
equations. Prerequisites: A course in linear algebra (MATH 213, MATH 242, or
PHYS 221) and one of CMSC 141, MATH 245, or PHYS 222, or permission of the
instructor. |
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Abstract Linear
Algebra |
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Professor: Steven Simon |
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Course
Number: MATH 331 |
CRN
Number: 10055 |
Class cap: 15 |
Credits:
4 |
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Schedule/Location:
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Tue Thurs 1:30 PM
- 2:50 PM Hegeman 308 |
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Distributional Area: |
MC Mathematics
and Computing |
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This course is an introduction to the
study of linear algebra as an abstract algebraic system. The main focus of this course is the study
of vector spaces, and linear maps between vector spaces. Topics covered will include vector spaces,
linear independence, bases, dimension, linear maps, isomorphisms, matrix
representations of linear maps, determinants, eigenvalues, inner product
spaces and diagonalizability. This
course satisfies the Abstract Algebra requirement of the Mathematics Program. Prerequisite: MATH 261, and one of MATH 213
or MATH 242, or permission of the instructor. |
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Real Analysis |
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Professor: Caitlin Leverson |
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Course
Number: MATH 361 |
CRN
Number: 10056 |
Class cap: 15 |
Credits:
4 |
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Schedule/Location:
|
Mon Wed 3:30 PM
- 4:50 PM Hegeman 308 |
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Distributional Area: |
MC Mathematics
and Computing |
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The fundamental ideas of analysis in
one-dimensional Euclidean space are studied. Topics covered include the
completeness of the real numbers, sequences, Cauchy sequences, continuity,
uniform continuity, the derivative, and the Riemann integral. As time permits
other topics may be considered, such as infinite series of functions or
metric spaces. Prerequisite: MATH 261
and one prior 300-level mathematics course is recommended, or permission of
the instructor. |
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Algebraic Curves |
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Professor: Charles Doran |
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Course
Number: MATH 385 |
CRN
Number: 10057 |
Class cap: 15 |
Credits:
4 |
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Schedule/Location:
|
Mon Wed 8:30 AM
- 9:50 AM Hegeman 106 |
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Distributional Area: |
MC Mathematics
and Computing |
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We will cover the core material on
algebraic curves including their local properties, plane curves, morphisms
and rational maps, Riemann surfaces, differentials, Puiseux series,
resolution of singularities, and the Riemann-Roch Theorem. Each student will complete a final project,
paper, and presentation on a topic chosen in consultation with the
instructor. Prerequisites: MATH 332 (Abstract Algebra) or MATH 362
(Complex Analysis) or permission of the instructor. |
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Cross-listed
Courses:
Biostatistics |
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Course Number: BIO 244 |
CRN
Number: 10009 |
Class cap: 16 |
Credits: 4 |
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Professor:
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Cathy Collins |
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Schedule/Location: |
Mon Wed
1:30 PM - 4:30 PM Reem
Kayden Center 111/112 |
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Distributional Area: |
MC Mathematics
and Computing |
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Crosslists: |
Environmental & Urban Studies; Environmental Studies;
Global Public Health; Mathematics |
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Discrete Math |
||||||
|
Course Number: CMSC 145 |
CRN
Number: 10036 |
Class cap: 18 |
Credits: 4 |
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Professor:
|
Bob McGrail |
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Schedule/Location: |
Wed Fri 10:10 AM - 11:30
AM Reem Kayden Center 101 |
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Distributional Area: |
MC Mathematics
and Computing |
||||
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Crosslists: |
Mathematics |
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Algorithms |
|||||
|
Professor: Sven Anderson |
||||
|
Course
Number: CMSC 301 |
CRN
Number: 10039 |
Class cap: 18 |
Credits:
4 |
|
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Schedule/Location:
|
Mon Wed Fri 9:00 AM
- 9:50 AM Reem Kayden Center 100 |
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|
Distributional Area: |
MC Mathematics
and Computing |
|||
|
Crosslists: Mathematics; Mind, Brain, Behavior |
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Mathematical
Methods of Physics II |
|||||
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Professor: Clara Sousa-Silva |
||||
|
Course
Number: PHYS 222 |
CRN
Number: 10674 |
Class cap: 16 |
Credits:
4 |
|
|
Schedule/Location:
|
Tue Thurs 1:30 PM
– 3:30 PM Hegeman 106 |
|||
|
Distributional Area: |
MC Mathematics
and Computing |
|||
|
Crosslists: Mathematics |
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