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Displaying 3861 - 3870 of 4003

Elementary Modern Greek I

Designed to serve as an introduction to the language of modern Greece. Practice in speaking, grammatical analysis, composition, and graded reading. Four classes. No credit is given for HLS 101 unless followed by HLS 102.

Elementary Modern Greek II

A continuation of 101, aiming to develop the skills of listening, speaking, reading, and writing modern Greek in a cultural context. Classroom activities include videos, comprehension and grammar exercises, and discussions. Four classes.

Number, Shape and Symmetry

Mathematics is both art and science, and many of its greatest discoveries are generated as much by considerations of abstract beauty as they are by cold logic and utilitarian concerns. This highly interactive, discovery-based course explores some of the intriguing ideas of elementary number theory, including the mathematics of rhythm, number patterns and sequences, counting and probability, mathematical proof and modular arithmetic. Emphasis will be placed on the development of mathematical literacy.

The Magic of Numbers

This course will explore some of the intriguing and beautiful mathematics that underlie the arts, technology, and everyday life. This interactive course will cover materials ranging from prime numbers and encryption codes to Escher drawings, musical rhythms, games of chance, and mathematical designs in nature. Emphasis will be placed on discovering and analyzing patterns in a variety of contexts.

Introduction to Mathematical Thinking

This course begins with general discussion of the nature of mathematics, adopting a broadly historical approach. The aim will be to investigate several important areas of contemporary mathematics. The choice of topic will depend in part on the interests of the class, as determined by a student questionnaire completed during the first class meeting.

Useful Fictions: How and Why Mathematics is Developed and Then Changes the World

Provides a view of mathematics as a living, creative endeavor that classifies as both a science and art, giving a feeling for, and some mastery of, the mathematical way of thinking and an awareness of some of the many applications of mathematics. Starting from a broadly historical approach we will move to investigate several important areas of contemporary mathematics.

Multivariable Calculus

Vectors in the plane and in space, vector functions and motion, surfaces, coordinate systems, functions of two or three variables and their derivatives, maxima and minima and applications, double and triple integrals, vector fields, and Stokes's theorem. Prerequisite: 104 or equivalent.

Linear Algebra with Applications

Companion course to MAT201. Matrices, linear transformations, linear independence and dimension, bases and coordinates, determinants, orthogonal projection, least squares, eigenvectors and their applications to quadratic forms and dynamical systems. Prerequisite: MAT103 or equivalent.

Advanced Vector Calculus

Vector spaces, limits, derivatives of vector-valued functions, Taylor's formula, Lagrange multipliers, double and triple integrals, change of coordinates, surface and line integrals, generalizations of the fundamental theorem of calculus to higher dimensions. More abstract than 201 but more concrete than 216/218. Recommended for prospective physics majors and others with a strong interest in applied mathematics. Prerequisite: MAT104 or equivalent.

Advanced Linear Algebra with Applications

Companion course to MAT203. Linear systems of equations, linear independence and dimension, linear transforms, determinants, (real and complex) eigenvectors and eigenvalues, orthogonality, spectral theorem, singular value decomposition, Jordan forms, other topics as time permits. More abstract than MAT202 but more concrete than MAT217. Recommended for prospective physics majors and others with a strong interest in applied mathematics. Prerequisite: MAT104 or equivalent.

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