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PENN SUMMER - University of Pennsylvania

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MaTheMaTiCS<br />

MaTh 103 920 MTWr 10:00am–12:10pm staff<br />

Introduction to Calculus<br />

Fulfills Formal Reasoning Course<br />

Introduction to concepts and methods <strong>of</strong> calculus for students with<br />

little or no previous calculus experience. Polynomial and elementary<br />

transcendental functions and their applications, derivatives, extremum<br />

problems, curve-sketching, approximations; integrals and the<br />

fundamental theorem <strong>of</strong> calculus.<br />

MaTh 104 920 MTWr 10:00am–12:10pm staff<br />

Calculus I<br />

Fulfills Formal Reasoning Course<br />

Brief review <strong>of</strong> High School calculus, applications <strong>of</strong> integrals, transcendental<br />

functions, methods <strong>of</strong> integration, infinite series, Taylor’s<br />

theorem. Use <strong>of</strong> symbolic manipulation and graphics s<strong>of</strong>tware in<br />

calculus.<br />

MaTh 114 920 MTWr 1:00pm–3:10pm staff<br />

Calculus II<br />

Fulfills Formal Reasoning Course / Prerequisite(s): MATH 104<br />

Functions <strong>of</strong> several variables, vector-valued functions, partial derivatives<br />

and applications, double and triple integrals, conic sections,<br />

polar coordinates, vectors and analytic geometry, first and second order<br />

ordinary differential equations. Applications to physical sciences.<br />

Use <strong>of</strong> symbolic manipulation and graphics s<strong>of</strong>tware in calculus.<br />

MaTh 114 937 MTWr 1:00pm–3:10pm rimmer<br />

Calculus, Part II<br />

This course is delivered in a fully online format in order to allow more<br />

flexibility for LPS students. Class sessions are <strong>of</strong>fered through a course<br />

website and include live lectures and interactive discussions through both<br />

direct messaging and voice over internet. Between classes, the learning<br />

experience is extended through assignments, threaded discussions and<br />

<strong>of</strong>fice hours. For additional information, please visit www.sas.upenn.edu/<br />

lps/online. Online course fee: $60.<br />

Fulfills Formal Reasoning Course / Prerequisite(s): MATH 104<br />

Functions <strong>of</strong> several variables, vector-valued functions, partial derivatives<br />

and applications, double and triple integrals, conic sections,<br />

polar coordinates, vectors and analytic geometry, first and second order<br />

ordinary differential equations. Applications to physical sciences.<br />

Use <strong>of</strong> symbolic manipulation and graphics s<strong>of</strong>tware in calculus.<br />

MaTh 115 920 MTWr 1:00pm–3:10pm staff<br />

Calculus, Part II with Probability and Matrices<br />

Fulfills Formal Reasoning Course / Prerequisite(s): MATH 104<br />

Functions <strong>of</strong> several variables, partial derivatives, multiple integrals,<br />

differential equations; introduction to linear algebra and matrices<br />

with applications to linear programming and Markov processes.<br />

Elements <strong>of</strong> probability and statistics. Applications to social and biological<br />

sciences. Use <strong>of</strong> symbolic manipulation and graphics s<strong>of</strong>tware<br />

in calculus.<br />

MaTh 170 920 MTWr 1:00pm–3:10pm staff<br />

Ideas in Mathematics<br />

Fulfills Formal Reasoning Course, Natural Science & Math Sector / May also<br />

be counted toward the General Requirement in Natural Science & Mathematics<br />

Topics from among the following: logic, sets, calculus, probability,<br />

history and philosophy <strong>of</strong> mathematics, game theory, geometry, and<br />

their relevance to contemporary science and society.<br />

MaTh 240 920 MTWr 1:00pm–3:10pm staff<br />

Calculus III<br />

Prerequisite(s): Calculus II<br />

Linear algebra: vectors, matrices, systems <strong>of</strong> linear equations, eigenvalues<br />

and eigenvectors. Vector calculus: functions <strong>of</strong> several variables,<br />

vector fields, line and surface integrals, Green’s, Stokes’ and<br />

divergence theorems. Series solutions <strong>of</strong> ordinary differential equations,<br />

Laplace transforms and systems <strong>of</strong> ordinary differential equations.<br />

Use <strong>of</strong> symbolic manipulation and graphics s<strong>of</strong>tware.<br />

MaTh 241 920 MTWr 1:00pm–3:10pm staff<br />

Calculus IV<br />

Prerequisite(s): MATH 240<br />

Sturm-Liouville problems, orthogonal functions, Fourier series, and<br />

partial differential equations including solutions <strong>of</strong> the wave, heat<br />

and Laplace equations, Fourier transforms. Introduction to complex<br />

analysis. Use <strong>of</strong> symbolic manipulation and graphics s<strong>of</strong>tware.<br />

MUSiC<br />

MusC 050 937 MW 5:00pm–7:00pm Muller<br />

World Music and Cultures<br />

This course is delivered in a fully online format in order to allow more<br />

flexibility for LPS students. Class sessions are <strong>of</strong>fered through a course<br />

website and include live lectures and interactive discussions through both<br />

direct messaging and voice over internet. Between classes, the learning<br />

experience is extended through assignments, threaded discussions and<br />

<strong>of</strong>fice hours. For additional information, please visit www.sas.upenn.edu/<br />

lps/online. Online course fee: $60.<br />

Fulfills Arts & Letters Sector, Cross Cultural Analysis Course, Cultural Diversity<br />

in the U.S. (Class <strong>of</strong> ’12 and after)<br />

This course examines how we as consumers in the “Western” world<br />

engage with musical difference largely through the products <strong>of</strong> the<br />

global entertainment industry. We examine music cultures in contact<br />

in a variety <strong>of</strong> ways—particularly as traditions in transformation.<br />

Students gain an understanding <strong>of</strong> traditional music as live, meaningful<br />

person-to-person music making, by examining the music in<br />

its original site <strong>of</strong> production, and then considering its transformation<br />

once it is removed, and re-contextualized in a variety <strong>of</strong> ways.<br />

The purpose <strong>of</strong> the course is to enable students to become informed<br />

and critical consumers <strong>of</strong> “World Music” by telling a series <strong>of</strong> stories<br />

about particular recordings made with, or using the music <strong>of</strong>, peoples<br />

culturally and geographically distant from the U.S. Students come to<br />

understand that not all music downloads containing music from unfamiliar<br />

places are the same, and that particular recordings may be<br />

embedded in intriguing and controversial narratives <strong>of</strong> production<br />

and consumption. At the very least, students should emerge from<br />

the class with a clear understanding that the production, distribution,<br />

and consumption <strong>of</strong> world music is rarely a neutral process.<br />

<strong>SUMMER</strong> SESSIOn II • JULY 6–AUgUST 13, 2010 33

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