MAC 3474 Calculus 3 Groisser - University of Florida Honors Program
MAC 3474 Calculus 3 Groisser - University of Florida Honors Program
MAC 3474 Calculus 3 Groisser - University of Florida Honors Program
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For reasons <strong>of</strong> time and safety, I delete, without reading completely, anyemail that requires me to open an attachment whose nature or purpose Icannot easily determine without opening.Office Hours: Tentatively Monday and Friday 8th period (3:00-3:50), andTuesday 4th period (10:40-11:30). Please come early in the period or let me knowto expect you later; otherwise I may not stay in my <strong>of</strong>fice for the whole period.See my schedule for updates. Students who can't make scheduled <strong>of</strong>fice hoursmay see me by appointment on most weekdays (but never on a Thursday).If you have the flu or similar contagious disease, or think you might, pleasedo not come to my <strong>of</strong>fice.Text: Stewart, <strong>Calculus</strong>: Early Transcendentals, 6th edition (6e). We will coverchapters 12-16 (with some omissions). Topics will include:vector algebraequations and graphs <strong>of</strong> lines, planes, and quadric surfacesvector-valued functions and their applications to motion and curves inspacearclength and curvature <strong>of</strong> curveslimits and continuity <strong>of</strong> functions <strong>of</strong> several variablespartial derivatives and the gradient vectorsmooth surfaces and their tangentmaxima and minima <strong>of</strong> functions <strong>of</strong> several variablesLagrange multipliersmultiple integrals in Cartesian and non-Cartesian coordinate systemsvector fields and their derivativesline integrals and surface integralsthe fundemental integral theorems for vector fieldsI discourage the use <strong>of</strong> solutions manuals. To learn mathematics, you need to seea small number <strong>of</strong> problems worked out, just to see the principles illustrated; youneed to do a large number <strong>of</strong> problems by yourself. The textbook problems that Iassign are selected to be doable based on what should be your accumulated store<strong>of</strong> knowledge and skills, plus the material in the textbook up to that point. In thelong run, you will learn more by struggling with a problem unsuccessfully for twohours, than by giving up after a few minutes and looking at someone else'ssolution.Exams and Grading: Your final grade will be determined by the following:Three midterms (hour exams), each counting 20% <strong>of</strong> final grade. Tentativedates for the midterms are Feb. 3 (Fri.), Feb. 28 (Tues.), and Apr. 2(Mon.).