MATHS21ASYLLABUS 2011PartGrade 11. Hourly202. Hourly20Homework25Lab5Final301.Exam2.ExamFinaljuly 14july 28aug 128:30 AM8:30 AM8:30 AMSC Hall ESC HalL ESC Hall ETEXTYou do not need a book. If you want a second opinion, take any of the textbooks available. Oliver Knill, office:Monday 3:[email protected] 432, Tel: (617) 495 5549Harvard Summer School 2011 Alex Isakov , Thu 1-3 PM,SC [email protected] standard multivariable calculus course extends single variable calculus to higher dimensions. It provides a vocabulary for understanding fundamental processes of nature like weather, planetary motion, waves, heat, finance, or quantum mechanics. It teaches important background needed for statistics, computer graphics, bioinformatics or economics. It provides tools for describing curves, surfaces, solids and other geometrical objects in three dimensions. It develops methods for solving optimization problems with and without constraints. You learn a powerful computer algebra system. The course will enhance problem solving skills and prepares you for further study in other fields of mathematics and its applications.Lecture room SC 507 Thu at 1 PMSEMINAR MATH S 21AHARVARDSUMMER, 2011LECTURESSC Hall E, Tue/Thu 8:30SyllabusSuMoTuWeThFrSA262728293012345678910111213141516171819202122232425262728293031123456789101112131.Week: Geometry / Space Lect 1-2 6/28 Space, Vectors, Dot Product Lect 3-4 6/30 Cross product, Lines/Planes2. Week: Surfaces / Curves Lect 5-6 7/5 Implicit and Parametric Surface Lect 7-8 7/7 Curves, Chain Rule, Arc Length3. Week: Linearization / Gradient Lect 9-10 7/12 Partial Derivatives, Review Lect 11-12 7/14 First hourly. Linearization4. Week: Extrema / Double Integrals Lect 13-14 7/19 Tangents, Extrema Lect 15-16 7/21 Lagrange . Double integrals5. Week: Triple Integrals /Line Integrals Lect 17-18 7/26 Double and triple integrals Lect 19-20 7/28 Second hourly. Line integrals6. Week: Vectorfield /Integral Theorem Lect 21-22 8/2 Curl, Greens theorem, Flux Lect 23-24 8/4 Stokes and Divergence theoremCalendarFirst classMidterm examsIndependence dayMathematica project dueChecklistFinal
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