Courses

Courses

Fall 2007

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060. Introduction to College Mathematics
James Ward M 11:30 - 12:55, W 11:30 - 12:55 Searles-113
Material selected from the following topics: combinatorics, probability, modern algebra, logic, linear programming, and computer programming. This course, in conjunction with Mathematics 155 or 161, is intended as a one-year introduction to mathematics and is recommended for those students who intend to take only one year of college mathematics.

155. Introduction to Statistics and Data Analysis
Stephen Fisk T 10:00 - 11:25, TH 10:00 - 11:25 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, or Economics 257.

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
Helen Wong M 10:30 - 11:25, W 10:30 - 11:25, F 10:30 - 11:25 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.

171. Integral Calculus
Jennifer Taback M 9:30 - 10:25, W 9:30 - 10:25, F 9:30 - 10:25 Searles-217
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 T 1:00 - 2:25, TH 1:00 - 2:25 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
Stephen Fisk T 1:00 - 2:25, TH 1:00 - 2:25 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.

172. Integral Calculus, Advanced Section
Thomas Pietraho T 11:30 - 12:55, TH 11:30 - 12:55 Searles-215
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.

174. BioMathematics
Mary Zeeman T 8:30 - 9:55, TH 8:30 - 9:55 Searles-113
A study of mathematical methods driven by questions in biology. Biological questions are drawn from a broad range of topics, including neurobiology, endocrinology, biomechanics, disease, ecology and population dynamics. Mathematical methods include matrices, linear transformations, eigenvalues, eigenvectors, and matrix iteration; stochastic models, Markov chains and simulation; ODE models and simulation, stability analysis, attractors and limiting behavior, mathematical consequences of feedback, and multiple time-scales. Three hours of class meetings and two hours of computer laboratory sessions per week.

181. Multivariate Calculus
Adam Levy M 10:30 - 11:25, W 10:30 - 11:25, F 10:30 - 11:25 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.

181. Multivariate Calculus
Mohammad Tajdari T 10:00 - 11:25, TH 10:00 - 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.

200. Introduction to Mathematical Reasoning
Thomas Pietraho T 2:30 - 3:55, TH 2:30 - 3:55 Druckenmiller-004
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.

200. Introduction to Mathematical Reasoning
William Barker T 8:30 - 9:55, TH 8:30 - 9:55 Searles-217
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.

225. Probability
James Ward M 9:30 - 10:25, W 9:30 - 10:25, F 9:30 - 10:25 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.

244. Numerical Methods
Adam Levy T 8:30 - 9:55, TH 8:30 - 9:55 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.

262. Introduction to Algebraic Structures
Jennifer Taback M 11:30 - 12:55, W 11:30 - 12:55 Searles-213
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.

264. Applied Mathematics: Partial Differential Equations
Mary Zeeman T 11:30 - 12:55, TH 11:30 - 12:55 Searles-113
A study of some of the partial differential equations that model a variety of systems in the natural and social sciences. Classical methods for solving partial differential equations, with an emphasis where appropriate on modern, qualitative techniques for studying the behavior of solutions. Applications to the analysis of a broad set of topics, including air quality, traffic flow, and imaging. Computer software is used as an important tool, but no prior programming background is assumed.