Courses

Courses

Fall 2005

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060. Introduction to College Mathematics
James Ward T 10:00 - 11:25, TH 10:00 - 11:25 Searles-113
Material selected from the following topics: com?bi?na?t?o?rics, probability, modern algebra, logic, linear programming, and computer programming. This course, in conjunction with Math?e?mat?ics 161 or 165, is intended as a one-yea introduction cs and is recommended for those students who intend to take only one year of college mathematics.
155. Introduction to Statistics and Data Analysis
Matthew Killough T 8:30 - 9:55, TH 8:30 - 9:55 Searles-213
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
William Barker T 11:30 - 12:55, TH 11:30 - 12:55 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.
161. Differential Calculus
Raymond Fisher 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
William Barker M 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.
LAB
Raymond Fisher 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.
165. Biostatistics
Rosemary Roberts M 11:30 - 12:55, W 11:30 - 12:55, F 11:30 - 12:25 Searles-113
An introduction to the statisical methods used in the life sciences. Emphasizes conceptual understanding and includes topics from exploratory data analysis, the planning and design of experiments, probability, and statistical inference. One and two sample t-procedures and their non-parametric analogs, one way ANOVA, simple linear regression, goodness of fit tests, and the chi-square test for independence are discussed. Four to five hours of class meetings and computer laboratory sessions per week, on average. Not open to students who have credit for Mathematics 165, Psychology 252, Economics 257, or AP Statistics.
171. Integral Calculus
Mohammad Tajdari M 11:30 - 12:25, W 11:30 - 12:25, F 11:30 - 12:25 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.
171. Integral Calculus
Rebecca Field M 8:30 - 9:25, W 8:30 - 9:25, F 8:30 - 9:25 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
Mohammad Tajdari M 1:30 - 3:25 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.
LAB
Rebecca Field T 2:30 - 4:25 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.
172. Integral Calculus, Advanced Section
Jennifer Taback T 1:00 - 2:25, TH 1:00 - 2:25 Searles-217
A review of the exponential and logarithmic functions, techniques of integration, and numerical integration. Improper integrals. Approximations using Taylor polynomials and infinite series. Emphasis on differential equation models and their solutions. Four to five hours of class meetings and computer laboratory sessions per week, on average. Open to students whose backgrounds include the equivalent of Mathematics 161 and the first half of Mathematics 171. Designed for first-year students who have completed an AB Advanced Placement calculus course in their secondary schools.
LAB
Jennifer Taback W 1:30 - 3:25 Searles-216
A review of the exponential and logarithmic functions, techniques of integration, and numerical integration. Improper integrals. Approximations using Taylor polynomials and infinite series. Emphasis on differential equation models and their solutions. Four to five hours of class meetings and computer laboratory sessions per week, on average. Open to students whose backgrounds include the equivalent of Mathematics 161 and the first half of Mathematics 171. Designed for first-year students who have completed an AB Advanced Placement calculus course in their secondary schools.
181. Multivariate Calculus
Mark Rhodes M 9:30 - 10:25, W 9:30 - 10:25, F 9:30 - 10:25 Searles-113
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
Rebecca Field M 10:30 - 11:25, W 10:30 - 11:25, F 10:30 - 11:25 Searles-213
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
Mark Rhodes T 2:30 - 4:25 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
Rebecca Field TH 2:30 - 4:25 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.
200. Introduction to Mathematical Reasoning
Jennifer Taback T 10:00 - 11:25, TH 10:00 - 11:25 Searles-213
An introduction to logical deductive reasoning, mathematical proof, and the fundamental concepts of higher mathematics. Specific topics include set theory, induction, infinite sets, permutations, and combinations. An active, guided discovery classroom format.
224. Applied Mathematics: Ordinary Differential Equations
Mohammad Tajdari M 9:30 - 10:25, W 9:30 - 10:25, F 9:30 - 10:25 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.
225. Probability
Rosemary Roberts T 1:00 - 2:25, TH 1:00 - 2:25 Searles-113
A study of the mathematical models used to formalize nondeterministic or “chance” phenomena. General topics include combinatorial models, probability spaces, conditional probability, discrete and continuous random variables, independence and expected values. Specific probability densities, such as the binomial, Poisson, exponential, and normal, are discussed in depth.
243. Functions of a Complex Variable
Mark Rhodes M 11:30 - 12:25, W 11:30 - 12:25, F 11:30 - 12:25 Searles-115
The differential and integral calculus of functions of a complex variable. Cauchy’s theorem and Cauchy’s integral formula, power series, singularities, Taylor’s theorem, Laurent’s theorem, the residue calculus, harmonic functions, and conformal mapping.
244. Numerical Methods
Matthew Killough T 11:30 - 12:55, TH 11:30 - 12:55 Searles-213
An introduction to the theory and application of numerical analysis. Topics include approximation theory, numerical integration and differentiation, iterative methods for solving equations, and numerical analysis of differential equations.
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 10:30 - 11:25, W 10:30 - 11:25, F 10:30 - 11:25 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.