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  • MATH 101Z: Reasoning with Data:Elementary Applied Statistics with Health Applications

    3.00 Credits
    Wellesley College

    Polito (Quantitative Reasoning) In this course, students use probability and statistics to examine the risks that we encounter every day. The focus is on personal medical decision-making and the impact of our environment on our health. Students will address questions such as: How concerned should we be about pesticide use How can we make informed decisions about women's health issues, including contraception and sexually transmitted diseases How much of an impact does diet have on health Why did different studies of hormone replacement therapy come to contra-dictory conclusions, and how can we read reports on such studies intelligently and skeptically Topics include descriptive statistics, basic probability, inference and hypothesis testing. Prerequisite: Fulfillment of the basic skills component of the Quantitative Reasoning requirement. Not open to students who have taken or are taking MATH 101, POL 199, QR 180, ECON 103/ SOC 190 or PSYC 205. Not open to students who have completed 205, except by permission of the instructor; such students should consider taking 220 instead. Distribution: Mathematical Modeling. Fulfills the Quantitative Reasoning overlay course requirement. Semester: Spring Unit: 1.0
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  • MATH 102: Applications of Mathematics without Calculus

    3.00 Credits
    Wellesley College

    Staff This course explores several areas of mathematics which have application in the physical and social sciences, yet which require only high-school mathematics as a prerequisite. The areas covered will be chosen from systems of linear equations, linear programming, probability, game theory, and stochastic processes. Students will solve problems on topics rangingfrom medical testing to economics, with the results demonstrating the value of mathematical reasoning. May not be counted toward the major. Prerequisite: Fulfillment of the basic skills component of the Quantitative Reasoning requirement. Distribution: Mathematical Modeling Semester: Spring Unit: 1.0
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  • MATH 115: Calculus I

    3.00 Credits
    Wellesley College

    Staff Introduction to differential and integral calculus for functions of one variable. The heart of calculus is the study of rates of change. Differen-tial calculus concerns the process of finding the rate at which a quantity is changing (the derivative). Integral calculus reverses this process. Information is given about the derivative, and the process of integration finds the ?integral,? which measures accumulated change. This course aims to develop a thorough understanding of the concepts of differentiation and integration, and covers techniques and appli-cations of differentiation and integration of algebraic, trigonometric, logarithmic, and exponential functions. MATH 115 is an introductory course designed for students who have not seen calculus before. Prerequisite: Fulfillment of the basic skills component of the Quantitative Reasoning requirement. Distribution: Mathematical Modeling Semester: Fall, Spring, Summer Unit: 1.0
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  • MATH 116: Calculus II

    3.00 Credits
    Wellesley College

    Staff The course begins with applications and techniques of integration. It probes notions of limit and convergence and adds techniques for find-ing limits. Half of the course covers infinite sequences and series, where the basic question is: What meaning can we attach to a sum with infinitely many terms and why might we care The course can help students improve their ability to reason abstractly and also teaches important computational techniques. Topics include integration techniques, l'H pital's rule, improper integrals, geometric and other applica-tions of integration, theoretical basis of limits and continuity, infinite series, power series, and Taylor series. MATH 116 is the appropriate first course for many students who have had AB calculus in high school. Prerequisite: 115 or the equivalent Distribution: Mathematical Modeling Semester: Fall, Spring Unit: 1.0
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  • MATH 120: Calculus IIA

    3.00 Credits
    Wellesley College

    Staff This course is a variant of 116 for students who have a thorough knowledge of the techniques of differentiation and integration, and fami-liarity with inverse trigonometric functions and the logarithmic and exponential functions. It includes a rigorous and careful treatment of limits, sequences and series, Taylor's theorem, approximations and numerical methods, Riemann sums, improper integrals, l'H pital's rule, and applications of integratio n. Prerequisite: Open by permission of the department to students who have completed a year of high school calculus. Students who have studied Taylor series should elect 205. Not open to students who have completed 115, 116, or the equivalent. Distribution: Mathematical Modeling Semester: Fall Unit: 1.0
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  • MATH 205: Multivariable Calculus

    3.00 Credits
    Wellesley College

    Staff Most real-world systems that one may want to model, whether in the natural or in the social sciences, have many interdependent parame-ters. To apply calculus to these systems, we need to extend the ideas and techniques of MATH 115 and MATH 116 to functions of more than one variable. Topics include vectors, matrices, determinants, polar, cylindrical, and spherical coordinates, curves, functions of several variables, partial and directional derivatives, gradients, Lagrange multipliers, multiple integrals, line integrals, and Green's Theorem. Prerequisite: 116, 120, or the equivalent. Not open to students who have completed [ MATH 216]/ PHYS 216. Distribution: Mathematical Modeling Semester: Fall, Spring Unit: 1.0
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  • MATH 206: Linear Algebra

    3.00 Credits
    Wellesley College

    Kerr, Wang Linear algebra is one of the most beautiful subjects in the undergraduate mathematics curriculum. It is also one of the most important with many possible applications. In this course, students learn computational techniques that have widespread applications in the natural and social sciences as well as in industry, finance, and management. There is also a focus on learning how to understand and write mathemat-ical proofs and an emphasis on improving mathematical style and sophistication. Topics include vector spaces, subspaces, linear inde-pendence, bases, dimension, inner products, linear transformations, matrix representations, range and null spaces, inverses, and eigenva-lues. Prerequisite: 205 or MATH 215/[ PHYS 215]; or, with permission of the instructor, 116, 120, or the equivalent. Distribution: Mathematical Modeling Semester: Fall, Spring Unit: 1.0
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  • MATH 210: Differential Equations

    3.00 Credits
    Wellesley College

    Wang Introduction to theory and solution of ordinary differential equations, with applications to such areas as physics, ecology, and economics. Includes linear and nonlinear differential equations and equation systems, existence and uniqueness theorems, and such solution methods as power series, Laplace transform, and graphical and numerical methods. Prerequisite: 205 Distribution: Mathematical Modeling Semester: Spring Unit: 1.0
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  • MATH 214: Euclidean and Non-Euclidean Geometry

    3.00 Credits
    Wellesley College

    NOT OFFERED IN 2009-10. A rigorous treatment of the fundamentals of two-dimensional geometry: Euclidean, spherical, elliptic and hyperbolic. The course will present the basic classical results of plane geometry: congruence theorems, concurrence theorems, classifica-tion of isometries, etc., and their analogues in the non-Euclidean settings. The course will provide a link between classical geometry and modern geometry, preparing for study in group theory, differential geometry, topology, and mathematical physics. The approach will be analytical, providing practice in proof techniques. This course is strongly recommended for prospective teachers of mathematics. Prerequisite: 205 or permission of the instructor Distribution: Mathematical Modeling Semester: N/O Unit: 1.0
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  • MATH 215: Mathematics for the Sciences I

    3.00 Credits
    Wellesley College

    Shultz This course is tailored to the needs and preparations of students considering majors in the sciences. It presents techniques of applied ma-thematics relevant to a broad range of scientific studies, from the life sciences to physics and astronomy. The topics of study include com-plex numbers, ordinary differential equations, an introduction to partial differential equations, linear algebra (matrices, systems of linear equations, vector spaces, eigenvalue problems), and Fourier series. The course emphasizes mathematical techniques and presents appli-cations from all the sciences. Some familiarity with vectors (e.g., dot products) is assumed. Prerequisite: 116, 120, or the equivalent. Not open to students who have taken this course as [ PHYS 215]. Distribution: Mathematical Modeling Semester: Fall Unit: 1.0
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