Courses

Courses

Spring 2007

  • Visit Bearings to search for courses by title, instructor, department, and more.
  • Login to Blackboard. Instructional materials are available on a course-by-course basis.
055. Statistical Reasoning
Raymond Fisher T 8:30 - 9:55, TH 8:30 - 9:55 Searles-113
An introduction to the ideas of statistics. Students learn how to reason statistically and how to interpret and draw conclusions from data. Designed for students who want to understand the nature of statistical information. Open to first-year students and sophomores who want to improve their quantitative skills. It is recommended that students with a background in calculus enroll in Mathematics 155 or 165. Not open to students who have credit for Mathematics 65.
155. Introduction to Statistics and Data Analysis
Rosemary Roberts M 1:00 - 2:25, W 1:00 - 2:25 Searles-113
A general introduction to statistics in which students learn to draw conclusions from data using statistical techniques. Examples are drawn from many different areas of application. The computer is used extensively. Topics include exploratory data analysis, planning and design of experiments, probability, one and two sample t-procedures, and simple linear regression. Not open to students who have credit for Mathematics 165, Psychology 252, Economics 257, or AP Statistics.
155. Introduction to Statistics and Data Analysis
Stephen Fisk T 1:00 - 2:25, TH 1:00 - 2:25 Searles-113
A general introduction to statistics in which students learn to draw conclusions from data using statistical techniques. Examples are drawn from many different areas of application. The computer is used extensively. Topics include exploratory data analysis, planning and design of experiments, probability, one and two sample t-procedures, and simple linear regression. Not open to students who have credit for Mathematics 165, Psychology 252, Economics 257, or AP Statistics.
161. Differential Calculus
James Ward M 11:30 - 12:25, W 11:30 - 12:25, F 11:30 - 12:25 Searles-113
Functions, including the trigonometric, exponential, and logarithmic functions; the derivative and the rules for differentiation; the anti-derivative; applications of the derivative and the anti-derivative. Four to five hours of class meetings and computer laboratory sessions per week, on average. Open to students who have taken at least three years of mathematics in secondary school.
161. Differential Calculus
Rebecca Field T 10:00 - 11:25, TH 10:00 - 11:25 Searles-217
Functions, including the trigonometric, exponential, and logarithmic functions; the derivative and the rules for differentiation; the anti-derivative; applications of the derivative and the anti-derivative. Four to five hours of class meetings and computer laboratory sessions per week, on average. Open to students who have taken at least three years of mathematics in secondary school.
LAB
James Ward TH 2:30 - 4:25 Searles-117
Functions, including the trigonometric, exponential, and logarithmic functions; the derivative and the rules for differentiation; the anti-derivative; applications of the derivative and the anti-derivative. Four to five hours of class meetings and computer laboratory sessions per week, on average. Open to students who have taken at least three years of mathematics in secondary school.
LAB
Rebecca Field W 1:30 - 3:25 Searles-117
Functions, including the trigonometric, exponential, and logarithmic functions; the derivative and the rules for differentiation; the anti-derivative; applications of the derivative and the anti-derivative. Four to five hours of class meetings and computer laboratory sessions per week, on average. Open to students who have taken at least three years of mathematics in secondary school.
171. Integral Calculus
Stephen Fisk T 10:00 - 11:25, TH 10:00 - 11:25 Searles-113
The definite integral; the Fundamental theorems; improper integrals; applications of the definite integral; differential equations; and approximations including Taylor polynomials and Fourier series. Four to five hours of class meetings and computer laboratory sessions per week, on average.
171. Integral Calculus
Mohammad Tajdari M 9:30 - 10:25, W 9:30 - 10:25, F 9:30 - 10:25 Searles-213
The definite integral; the Fundamental theorems; improper integrals; applications of the definite integral; differential equations; and approximations including Taylor polynomials and Fourier series. Four to five hours of class meetings and computer laboratory sessions per week, on average.
LAB
Stephen Fisk W 1:30 - 3:25 Searles-117
The definite integral; the Fundamental theorems; improper integrals; applications of the definite integral; differential equations; and approximations including Taylor polynomials and Fourier series. Four to five hours of class meetings and computer laboratory sessions per week, on average.
LAB
Mohammad Tajdari W 2:30 - 4:25 Searles-216
The definite integral; the Fundamental theorems; improper integrals; applications of the definite integral; differential equations; and approximations including Taylor polynomials and Fourier series. Four to five hours of class meetings and computer laboratory sessions per week, on average.
181. Multivariate Calculus
Thomas Pietraho T 1:00 - 2:25, TH 1:00 - 2:25 Searles-215
Multivariate calculus in two and three dimensions. Vectors and curves in two and three dimensions; partial and directional derivatives; the gradient; the chain rule in higher dimensions; double and triple integration; polar, cylindrical, and spherical coordinates; line integration; conservative vector fields; and Green's theorem. Four to five hours of class meetings and computer laboratory sessions per week, on average.
181. Multivariate Calculus
William Barker T 11:30 - 12:55, TH 11:30 - 12:55 Searles-217
Multivariate calculus in two and three dimensions. Vectors and curves in two and three dimensions; partial and directional derivatives; the gradient; the chain rule in higher dimensions; double and triple integration; polar, cylindrical, and spherical coordinates; line integration; conservative vector fields; and Green's theorem. Four to five hours of class meetings and computer laboratory sessions per week, on average.
LAB
Thomas Pietraho F 1:30 - 3:25 Searles-216
Multivariate calculus in two and three dimensions. Vectors and curves in two and three dimensions; partial and directional derivatives; the gradient; the chain rule in higher dimensions; double and triple integration; polar, cylindrical, and spherical coordinates; line integration; conservative vector fields; and Green's theorem. Four to five hours of class meetings and computer laboratory sessions per week, on average.
LAB
William Barker T 2:30 - 4:25 Searles-117
Multivariate calculus in two and three dimensions. Vectors and curves in two and three dimensions; partial and directional derivatives; the gradient; the chain rule in higher dimensions; double and triple integration; polar, cylindrical, and spherical coordinates; line integration; conservative vector fields; and Green's theorem. Four to five hours of class meetings and computer laboratory sessions per week, on average.
201. Linear Algebra (formerly Mathematics 222)
Rebecca Field T 1:00 - 2:25, TH 1:00 - 2:25 Searles-217
Topics include vectors, matrices, vector spaces, inner product spaces, linear transformations, eigenvalues and eigenvectors, and quadratic forms. Applications to linear equations, discrete dynamical systems, Markov chains, least-squares approximation, and Fourier series.
224. Applied Mathematics: Ordinary Differential Equations
Mohammad Tajdari M 11:30 - 12:25, W 11:30 - 12:25, F 11:30 - 12:25 Searles-213
A study of some of the ordinary differential equations that model a variety of systems in the natural and social sciences. Classical methods for solving differential equations with an emphasis on modern, qualitative techniques for studying the behavior of solutions to differential equations. Applications to the analysis of a broad set of topics, including population dynamics, competitive economic markets, and design flaws. Computer software is used as an important tool, but no prior programming background is assumed.
229. Optimization (formerly Mathematics 249)
Adam Levy M 1:00 - 2:25, W 1:00 - 2:25 Searles-213
A study of optimization problems arising in a variety of situations in the social and natural sciences. Analytic and numerical methods are used to study problems in mathematical programming, including linear models, but with an emphasis on modern nonlinear models. Issues of duality and sensitivity to data perturbations are covered, and there are extensive applications to real-world problems.
247. Geometry
William Barker T 8:30 - 9:55, TH 8:30 - 9:55 Searles-217
A survey of modern approaches to Euclidean geometry in two and three dimensions. Axiomatic foundations of metric geometry. Transformational geometry: isometries and similarities. Klein's Erlangen Program. Symmetric figures. Scaling, measurement, and dimension.
262. Introduction to Algebraic Structures
James Ward M 9:30 - 10:25, W 9:30 - 10:25, F 9:30 - 10:25 Searles-113
A study of the basic arithmetic and algebraic structure of the common number systems, polynomials, and matrices. Axioms for groups, rings, and fields, and an investigation into general abstract systems that satisfy certain arithmetic axioms. Properties of mappings that preserve algebraic structure.
265. Statistics
Rosemary Roberts M 10:30 - 11:25, W 10:30 - 11:25, F 10:30 - 11:25 Searles-113
An introduction to the fundamentals of mathematical statistics. General topics include likelihood methods, point and interval estimation, and tests of significance. Applications include inference about binomial, Poisson, and exponential models, frequency data, and analysis of normal measurements.
303. Advanced Topics in Analysis
Thomas Pietraho T 10:00 - 11:25, TH 10:00 - 11:25 Searles-115
One or more selected topics from analysis. Possible topics include geometric measure theory, Lebesque general measure and integration theory, Fourier analysis, Hilbert and Banach space theory, and spectral theory.