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Course Criteria
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3.00 Credits
Fall 2006. MOHAMMAD TAJDARI. Spring 2007. THE DEPARTMENT. 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.
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4.00 - 5.00 Credits
Every semester. THE DEPARTMENT. 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.
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4.00 - 5.00 Credits
Every fall. ROSEMARY ROBERTS. An introduction to the statistical 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 155, Psychology 252, Economics 257, or AP Statistics.
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4.00 - 5.00 Credits
Every semester. THE DEPARTMENT. 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. Prerequisite: Mathematics 161 or equivalent.
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4.00 - 5.00 Credits
Every fall. THE DEPARTMENT. 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.
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4.00 - 5.00 Credits
Every semester. THE DEPARTMENT. 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. Prerequisite: Mathematics 171 or equivalent.
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3.00 Credits
Fall 2006. JENNIFER TABACK. 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. Prerequisite: Mathematics 161.
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3.00 Credits
Fall 2006. JAMES WARD. Spring 2007. THE DEPARTMENT. 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. Prerequisite: Mathematics 181 or permission of the instructor.
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3.00 Credits
Every spring. THE DEPARTMENT. 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. Prerequisite: Mathematics 181 or permission of the instructor.
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3.00 Credits
Every fall. WILLIAM BARKER. 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. Prerequisite: Mathematics 181.
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