# 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: Pre-calculus 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 multi-way analysis of variance, logistic regression, elementary probability, hypothesis testing and experimental design. Prerequisites: None, though a firm grasp of pre-calculus 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, initial-value 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