S P R I N G 2 0 1 3 - USS at Tufts - Tufts University
S P R I N G 2 0 1 3 - USS at Tufts - Tufts University
S P R I N G 2 0 1 3 - USS at Tufts - Tufts University
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Course ListingsFall 2012M<strong>at</strong>hem<strong>at</strong>icsPlease Note: Exams in M<strong>at</strong>h 4, 30, 32, 34, 42, and 51 occur on selected Mondays from noon to 1:20 PM.MATH0004FUNDAMENTALS OF MATHA review of basic algebra: fractions, exponents, polynomials. Equ<strong>at</strong>ions:linear, quadr<strong>at</strong>ic, simultaneous equ<strong>at</strong>ions, word problems. Functionsand their graphs; logarithms. Trigonometry.Prerequisites: Permission of instructor. A student who has passedMATH 30 or 32 (formerly MATH 5 or 11) will not be allowed to takeMATH 4 for credit. MATH 4 counts toward the m<strong>at</strong>hem<strong>at</strong>ical sciencesdistribution requirement for students with a m<strong>at</strong>hem<strong>at</strong>ics SAT scorebelow 560 or a m<strong>at</strong>hem<strong>at</strong>ics ACT score below 23; see quantit<strong>at</strong>ivereasoning requirement. Students with exactly 560 on the m<strong>at</strong>hem<strong>at</strong>icsSAT or 23 on the m<strong>at</strong>hem<strong>at</strong>ics ACT may seek permission from them<strong>at</strong>hem<strong>at</strong>ics department to count MATH 4 toward the m<strong>at</strong>hem<strong>at</strong>icalsciences distribution requirement. Students with multiple scores, one ofwhich is a m<strong>at</strong>hem<strong>at</strong>ics SAT above 560 or a m<strong>at</strong>hem<strong>at</strong>ics ACT above23, are not allowed to count MATH 4 toward the m<strong>at</strong>hem<strong>at</strong>ical sciencesdistribution requirement. Engineering students are not permitted to takeMATH 4 for credit.Sections02364 MATH000401 H Faubion, Zachar 1.0 Permission OfInstructorMATH0010INTRO SPECIAL TOPICSContent and prerequisites vary from semester to semester.Please see departmental website for specific details:http://m<strong>at</strong>h.tufts.eduPrerequisites: Engineering students are not permitted to take MATH 10for credit.SectionsINTRODUCTORY STATISTICS02366 MATH001001 E+WF Kobayashi, Kei 1.0 High SchoolAlgebra AndGeometryMATH0019MATH OF SOCIAL CHOICE(Formerly MATH 9). Introduction to m<strong>at</strong>hem<strong>at</strong>ical methods for dealingwith questions arising from social decision making. Topics vary butusually include ranking, determining the strength of, and choosingparticipants in multicandid<strong>at</strong>e and two-candid<strong>at</strong>e elections, andapportioning votes and rewards to candid<strong>at</strong>es.Prerequisites: High school algebra. Engineering students are notpermitted to take MATH 19 for credit.Sections03451 MATH001901 D+ Garant, Linda B 1.0 Seniors Only;High SchoolAlgebra03452 MATH001902 D+ Garant, Linda B 1.0 Juniors Only;High SchoolAlgebra03736 MATH001903 J+ Offerman, Chris 1.0 Seniors Only;High SchoolAlgebra03738 MATH001904 J+ Offerman, Chris 1.0 Juniors Only;High SchoolAlgebraMATH0030INTRO TO CALCULUS(Formerly MATH 5). Functions and their graphs, limits, deriv<strong>at</strong>ives,techniques of differenti<strong>at</strong>ion. Applic<strong>at</strong>ions of deriv<strong>at</strong>ives, curvesketching, extremal problems. Integr<strong>at</strong>ion: indefinite and definiteintegrals, some techniques of integr<strong>at</strong>ion, Fundamental Theorem ofCalculus. Logarithmic and exponential functions with applic<strong>at</strong>ions.Prerequisites: High school geometry and algebra. MATH 30 is aone-semester calculus course and is not adequ<strong>at</strong>e prepar<strong>at</strong>ion forMATH 34. Students will receive an additional half-credit (with grade) forpassing MATH 32 after receiving credit for MATH 30. MATH 32 mustbe taken <strong>at</strong> <strong>Tufts</strong> and for a grade in order to obtain this extra half-credit.The extra half-credit will not count toward the m<strong>at</strong>hem<strong>at</strong>ical sciencesdistribution requirement. MATH 30 may not be taken for credit afterreceiving credit for MATH 32 (formerly MATH 11). Engineering studentsare not permitted to take MATH 30 for credit.Sections<strong>Tufts</strong> <strong>University</strong> Course Listings, Fall 201203447034480345003449MATH003001 C Pierce, He<strong>at</strong>her 1.0 High SchoolGeom, Alg (allSections)MATH003002 C Stark, Emily 1.0MATH003003 D Kaufmann, Gail 1.0MATH003004 F Gutierrez, Maur 1.0 Cap 14 Se<strong>at</strong>sMATH0032CALCULUS I(Formerly MATH 11). Differential and integral calculus: limits andcontinuity, the deriv<strong>at</strong>ive and techniques of differenti<strong>at</strong>ion, extremalproblems, rel<strong>at</strong>ed r<strong>at</strong>es, the definite integral, Fundamental Theorem ofCalculus, deriv<strong>at</strong>ives and integrals of trigonometric functions,logarithmic and exponential functions.Prerequisites: High school geometry, algebra, and trigonometry.Students will receive an additional half-credit (with grade) for passingMATH 32 (formerly MATH 11) after receiving credit for MATH 30(formerly MATH 5). MATH 32 must be taken <strong>at</strong> <strong>Tufts</strong> and for a grade inorder to obtain this extra half-credit. The extra half-credit will not counttoward the m<strong>at</strong>hem<strong>at</strong>ical sciences distribution requirement. MATH 30may not be taken for credit after receiving credit for MATH 32.Sections03454 MATH003201 B Hahn, Marjorie 1.0 High SchoolGeom, Alg, Trig(all Sections)03456 MATH003203 F O'donnell, Chri 1.003457 MATH003204 F Ruane, Kim 1.003458 MATH003205 F Kaufmann, Gail 1.0 Cap 14 Se<strong>at</strong>s03459 MATH003206 H O'connell, Megh 1.003460 MATH003207 H Garant, Linda B 1.004249 MATH003208 F Ruane, Kim 1.0MATH0034CALCULUS II(Formerly MATH 12). Applic<strong>at</strong>ions of the integral, techniques ofintegr<strong>at</strong>ion, separable differential equ<strong>at</strong>ions, improper integrals.Sequences, series, convergence tests, Taylor series. Polar coordin<strong>at</strong>es,complex numbers. Students may count only one of MATH 34 (formerlyMATH 12) and MATH 36 for credit.Prerequisites: MATH 32 (Formerly MATH 11).Sections03461034620346303464MATH003401 C Christensen, Je 1.0 M<strong>at</strong>h 32(formerly M<strong>at</strong>h11) All SectionsMATH003402 C Barthelme, Thom 1.0MATH003403 E Wolak, M<strong>at</strong>hew 1.0MATH003404 F Glaser, Mary E 1.0MATH0036APPLIED CALCULUS IISymbolic anti-differenti<strong>at</strong>ion (substitution, integr<strong>at</strong>ion by parts),introduction to numerical integr<strong>at</strong>ion, use of Riemann sums tounderstand how integrals arise from problems in the n<strong>at</strong>ural sciences,probability, and geometry , infinite sums, Taylor expansions andapplic<strong>at</strong>ions, polar coordin<strong>at</strong>es, complex numbers. Review offirst-semester calculus as needed. Students may count only one ofMATH 34 (formerly MATH 12) and MATH 36 for credit.Prerequisites: Instructor's approval, or placement exam, or MATH 32(formerly MATH 11).Sections03480 MATH003601 E+ Faubion, Zachar 1.0 Consent OrM<strong>at</strong>h 32(formerly 11)(formerly 11)03740 MATH003602 F+ Borgers, Christ 1.0 Consent OrM<strong>at</strong>h 32(formerly 11)Page 117
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