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A dif­fer­en­tial equa­tion is an equa­tion that re­lates a func­tion to one or more of its de­riv­a­tives. – The above rather bor­ing de­scrip­tion does lit­tle to con­vey just how fun­da­men­tal, wide­spread, and amaz­ingly ef­fec­tive dif­fer­en­tial equa­tions are in de­scrib­ing the world around us. – Ex­am­ples: Any­thing in mo­tion. Also, many things that are not in mo­tion. Also, many ad­di­tional things to which the word “mo­tion” does not re­ally apply. – Fur­ther ex­am­ples: space­ships in orbit, pop­u­la­tions grow­ing and shrink­ing, a cup of cof­fee slowly cool­ing, springs bounc­ing, fi­nan­cial mar­kets ris­ing and falling, elec­tri­cal cur­rent flow­ing through a cir­cuit, ocean waves, sound waves, light waves, vi­bra­tions in mu­si­cal in­stru­ments and air­plane wings and sus­pen­sion bridges, – More ex­am­ples: Pretty much every­thing. Top­ics in­clude meth­ods of solv­ing or­di­nary dif­fer­en­tial equa­tions and ap­pli­ca­tions to var­i­ous prob­lems. Course Avatar and Site Header from a photo by Flickr user Tim­itrius: http://​www.​flickr.​com/​photos/​nox_​noctis_​silentium/​3929249893

A differential equation is an equation that relates a function to one or more of its derivatives. – The above rather boring description does little to convey just how fundamental, widespread, and amazingly effective differential equations are in describing the world around us. – Examples: Anything in motion. Also, many things that are not in motion. Also, many additional things to which the word “motion” does not really apply. – Further examples: spaceships in orbit, populations growing and shrinking, a cup of coffee slowly cooling, springs bouncing, financial markets rising and falling, electrical current flowing through a circuit, ocean waves, sound waves, light waves, vibrations in musical instruments and airplane wings and suspension bridges, – More examples: Pretty much everything. Topics include methods of solving ordinary differential equations and applications to various problems. Course Avatar and Site Header from a photo by Flickr user Timitrius: http://www.flickr.com/photos/nox_noctis_silentium/3929249893

An in­tro­duc­tion to the major themes of lit­er­a­ture and to meth­ods of an­a­lyz­ing them.

An introduction to the major themes of literature and to methods of analyzing them.

2 cl hrs, 2 lab hrs, 3 cr Ex­tends tech­niques learned in ear­lier in­dus­trial de­sign courses (IND 2313 and IND 2410) and builds upon the­o­ries in­tro­duced in ear­lier an­i­ma­tion courses (such as IND 2420). Foun­da­tion for ad­vanced an­i­ma­tion con­struc­tion, in­cor­po­ra­tion of and in­te­gra­tion with ex­ter­nal media, and tech­niques to au­to­mate and op­ti­mize de­vel­op­ment processes. Dy­namic par­ti­cles, flex­i­ble soft body cre­ation, tex­tur­ing, “hair” par­ti­cles, fluid sim­u­la­tion, rig­ging, light­ing, and plant sim­u­la­tion. Pre­req­ui­sites: MECH 3510

2 cl hrs, 2 lab hrs, 3 cr Extends techniques learned in earlier industrial design courses (IND 2313 and IND 2410) and builds upon theories introduced in earlier animation courses (such as IND 2420). Foundation for advanced animation construction, incorporation of and integration with external media, and techniques to automate and optimize development processes. Dynamic particles, flexible soft body creation, texturing, “hair” particles, fluid simulation, rigging, lighting, and plant simulation. Prerequisites: MECH 3510

En­gi­neer­ing Vi­bra­tion

Engineering Vibration

Top­ics in­clude func­tions, lim­its, dif­fer­en­ti­a­tion, tan­gent lines, L’Hôpital’s Rule, in­te­gra­tion, Fun­da­men­tal The­o­rem of Cal­cu­lus and ap­pli­ca­tions.

Topics include functions, limits, differentiation, tangent lines, L’Hôpital’s Rule, integration, Fundamental Theorem of Calculus and applications.