Fall 2014 Mathematics Courses
The following is a list of courses taught during the Fall 2014 semester
 MATH 1130  Fundamental Concepts of Mathematics

Goals:  To gain an understanding of how the language of mathematics is used in problem solving. This course is especially appropriate for prospective elementary teachers. 
Content:  Precise formulation of problems, symbolization, strategies for solution of mathematical problems, introduction to various number systems and to mathematical logic. 
Instructor: 
Wojciech Komornicki 
 MATH 1150  Precalculus

Goals:  To learn the mathematics necessary for the study of calculus. 
Content:  Precalculus mathematics emphasizing functions, graphing, and trigonometry. 
Instructor: 
Ioannis Roussos 
 MATH 1170  Calculus I

Goals:  To learn how to use the calculus of one variable and the fundamental concepts of the calculus. 
Content:  Limits, continuity, derivatives and integrals of functions of one variable. Applications are taken mostly from the physical sciences. 
Instructor: 
Wojciech Komornicki

 MATH 1180  Calculus II

Goals:  To learn how to use the calculus of one variable and the fundamental concepts of the calculus. 
Content:  Integrals of functions of one variable, sequences and series. Applications are taken mostly from the physical sciences. 
Instructor: 
Arthur Guetter 
 MATH 1200  Statistics and Data Analysis

Goals: 
To provide students with a computationally intensive introduction to
statistics emphasizing multivariate modeling.

Content: 
Descriptive statistics, multivariate regression, single and
multiway analysis of variance, logistic regression, elementary probability,
hypothesis testing and experimental design.

Prerequisites: 
None, though a firm grasp of precalculus mathematics is
expected.

Instructor: 
Frank Shaw 
 MATH 3320  Multivariable and Vector Calculus

Goals:  To extend concepts of calculus in two variables to the calculus of several variables. 
Content:  Vector calculus, partial and total differentiation, maximum/minimum problems, multiple integration, line and surface integrals, vector and scalar fields, theorems of Green, Gauss, and Stokes. 
Instructor: 
Ioannis Roussos 
 MATH 3330  Linear Algebra

Goals:  To gain an appreciation for how abstract structures are used to solve theoretical and practical problems. 
Content:  Systems of linear equations, matrices, determinants, vector spaces and bases, transformations, eigenvectors, introduction to linear differential equations. 
Instructor: 
Ioannis Roussos 
 MATH 3810  Applied Modeling and Statistics

Goals: 
An introduction to probability.

Content: 
Sample spaces, probability distributions and densities,
mathematical expectation, variance, moment generating functions,
random variables and functions of random variables.

Goals: 
To provide students with a computationally intensive introduction to
statistics emphasizing multivariate modeling.

Prerequisites: 
Math 1180

Instructor: 
Frank Shaw 
 MATH 3890  Algebra I

Goals:  An introduction to abstract algebra and number
theory. This course will develop the properties of groups, rings and fields 
Content:  Equivalence relations. Peano Axioms. Fundamental Theorem of Arithmetic. Diophantine equations. Prime numbers. Gaussian integers. The group of integers modulo n. Fundamental Theorem of Finite Cyclic Groups. While not a prerequisite for MATH 5890, this course is the first in a two semester sequence, along with MATH 5980, in modern algebra. 
Instructor: 
Ken Takata 
 MATH 5810  Mathematical Statistics

Goals:  To gain an understanding of statistics as
not merely collecting and organizing data but as the science of
basing inferences on observed data and making decisions in the
face of uncertainty. The student will be prepared to take the preliminary
actuarial examination in probability and statistics. 
Content:  Sampling distributions, point and interval estimation,
hypothesis testing, regression and correlation, analysis of variance. 
Prerequisites:  Math 3810 or consent of instructor 
Instructor: 
Arthur Guetter 
 MATH 5850  Numerical Analysis

Goals:  To introduce the methods of modern computation as used in solving problems with the aid of a computer using various algorithms. 
Content:  Algorithms for the solution of equations in one variable, interpolation and polynomial approximation, numerical differentiation and integration, initialvalue problems for differential equations, solution of linear systems by direct or iterative techniques and various methods of approximation. 
Instructor: 
Arthur Guetter 
 MATH 5910  Analysis II

Goals:  To learn the language, fundamental concepts, and standard theorems of analysis. To also learn how to reason deductively from explicit assumptions and definitions in mathematical analysis, thus developing analytic techniques for attacking problems that arise in applied mathematics. Recommended for students considering graduate school in mathematics. 
Content:  An introduction to real analysis with emphasis on proofs of theorems and on problem solving. Topics include properties of the real number system, functions, sequences, limits and continuity, differentiation, integration, and infinite series including sequences and series of functions. 
Instructor: 
Arthur Guetter 
 MATH 5920  Junior Seminar

Goals:  The student will be introduced to ideas and issues that are outside of the regular undergraduate curriculum, studying how mathematics is used in academia and industry. 
Content:  Reviews of current research and projects of various mathematicians: senior math majors, guest lecturers, and department staff. Student presentations of topics from internships, independent studies, or honors projects. 
Instructor: 
Dept of Mathematics Faculty 
 MATH 5930  Senior Seminar

Goals:  The student will be introduced to ideas and issues that are outside of the regular undergraduate curriculum, studying how mathematics is used in academia and industry. 
Content:  Reviews of current research and projects of various mathematicians: senior math majors, guest lecturers, and department staff. Student presentations of topics from internships, independent studies, or honors projects. 
Instructor: 
Dept of Mathematics Faculty 