Elementary Statistics

 

Professor: Jules Albertini  

 

Course Number: MATH 102

CRN Number: 10412

Class cap: 22

Credits: 4

 

Schedule/Location:

Mon  Wed     1:30 PM - 2:50 PM Hegeman 308

 

Distributional Area:

MC  Mathematics and Computing   

 

 

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.

 

Mathematics and Politics

 

Professor: Caitlin Leverson  

 

Course Number: MATH 106

CRN Number: 10043

Class cap: 22

Credits: 4

 

Schedule/Location:

Mon  Wed     5:10 PM - 6:30 PM Hegeman 308

 

Distributional Area:

MC  Mathematics and Computing   

 

 

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.

 

Einstein’s Relativity

 

Professor: Stefan Mendez-Diez  

 

Course Number: MATH 108

CRN Number: 10044

Class cap: 22

Credits: 4

 

Schedule/Location:

 Tue  Thurs    10:10 AM - 11:30 AM Hegeman 204

 

Distributional Area:

MC  Mathematics and Computing   

 

 

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.

 

Precalculus

 

Professor: Japheth Wood  

 

Course Number: MATH 110

CRN Number: 10045

Class cap: 22

Credits: 4

 

Schedule/Location:

 Tue  Thurs    11:50 AM - 1:10 PM Hegeman 102

 

Distributional Area:

MC  Mathematics 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.  Prerequisite: passing score on Part I of the Math Placement.

 

Calculus I

 

Professor: Daniel Newsome  

 

Course Number: MATH 141 A

CRN Number: 10046

Class cap: 22

Credits: 4

 

Schedule/Location:

Mon  Wed     3:30 PM - 4:50 PM Hegeman 204

 

Distributional Area:

MC  Mathematics 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.

 

Calculus I

 

Professor: Daniel Newsome  

 

Course Number: MATH 141 B

CRN Number: 10047

Class cap: 22

Credits: 4

 

Schedule/Location:

Mon  Wed     5:10 PM - 6:30 PM Hegeman 204

 

Distributional Area:

MC  Mathematics 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.

 

Calculus II

 

Professor: Ethan Bloch  

 

Course Number: MATH 142

CRN Number: 10048

Class cap: 22

Credits: 4

 

Schedule/Location:

 Tue  Thurs    1:30 PM - 2:50 PM Hegeman 204

 

Distributional Area:

MC  Mathematics and Computing   

 

 

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.

 

Calculus II

 

Professor: Lauren Rose  

 

Course Number: MATH 142 B

CRN Number: 10049

Class cap: 22

Credits: 4

 

Schedule/Location:

 Tue  Thurs    3:30 PM - 4:50 PM Reem Kayden Center 115

 

Distributional Area:

MC  Mathematics and Computing   

 

 

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.

 

Linear Algebra

 

Professor: Lauren Rose  

 

Course Number: MATH 242

CRN Number: 10051

Class cap: 18

Credits: 4

 

Schedule/Location:

 Tue  Thurs    1:30 PM - 2:50 PM Reem Kayden Center 115

 

Distributional Area:

MC  Mathematics 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.   Prerequisite: Math 142 or permission of the instructor.

 

Vector Calculus

 

Professor: Steven Simon  

 

Course Number: MATH 255

CRN Number: 10052

Class cap: 18

Credits: 4

 

Schedule/Location:

 Tue  Thurs    11:50 AM - 1:10 PM Hegeman 308

 

Distributional Area:

MC  Mathematics and Computing   

 

 

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.

 

Proofs and Fundamentals

 

Professor: Ethan Bloch  

 

Course Number: MATH 261

CRN Number: 10053

Class cap: 15

Credits: 4

 

Schedule/Location:

 Tue  Thurs    3:30 PM - 4:50 PM Hegeman 204

 

Distributional Area:

MC  Mathematics 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: MATH 142 Calculus II, or permission of instructor.

 

Scientific Computing

 

Professor: Stefan Mendez-Diez  

 

Course Number: MATH 301

CRN Number: 10054

Class cap: 15

Credits: 4

 

Schedule/Location:

 Tue  Thurs    11:50 AM - 1:10 PM Albee 100

 

Distributional Area:

MC  Mathematics and Computing   

 

Crosslists: Computer Science

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.

 

Abstract Linear Algebra

 

Professor: Steven Simon  

 

Course Number: MATH 331

CRN Number: 10055

Class cap: 15

Credits: 4

 

Schedule/Location:

 Tue  Thurs    1:30 PM - 2:50 PM Hegeman 308

 

Distributional Area:

MC  Mathematics and Computing   

 

 

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.

 

Real Analysis

 

Professor: Caitlin Leverson  

 

Course Number: MATH 361

CRN Number: 10056

Class cap: 15

Credits: 4

 

Schedule/Location:

Mon  Wed     3:30 PM - 4:50 PM Hegeman 308

 

Distributional Area:

MC  Mathematics and Computing   

 

 

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.

 

Algebraic Curves

 

Professor: Charles Doran  

 

Course Number: MATH 385

CRN Number: 10057

Class cap: 15

Credits: 4

 

Schedule/Location:

Mon  Wed     8:30 AM - 9:50 AM Hegeman 106

 

Distributional Area:

MC  Mathematics and Computing   

 

 

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.

 

Cross-listed Courses:

 

Biostatistics

 

Course Number: BIO 244

CRN Number: 10009

Class cap: 16

Credits: 4

 

Professor:

Cathy Collins

 

Schedule/Location:

Mon  Wed     1:30 PM - 4:30 PM Reem Kayden Center 111/112

 

Distributional Area:

MC  Mathematics and Computing   

 

Crosslists:

Environmental & Urban Studies; Environmental Studies; Global Public Health; Mathematics

 

Discrete Math

 

Course Number: CMSC 145

CRN Number: 10036

Class cap: 18

Credits: 4

 

Professor:

Bob McGrail

 

Schedule/Location:

  Wed  Fri   10:10 AM - 11:30 AM Reem Kayden Center 101

 

Distributional Area:

MC  Mathematics and Computing   

 

Crosslists:

Mathematics

 

Algorithms

 

Professor: Sven Anderson  

 

Course Number: CMSC 301

CRN Number: 10039

Class cap: 18

Credits: 4

 

Schedule/Location:

Mon  Wed  Fri   9:00 AM - 9:50 AM Reem Kayden Center 100

 

Distributional Area:

MC  Mathematics and Computing   

 

Crosslists: Mathematics; Mind, Brain, Behavior

 

Mathematical Methods of Physics II

 

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