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Math2015_1011_outline - and surface integrals theorems of...

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AS/SC/MATH 2015 3.00 Applied Multivariate and Vector Calculus Time and Place Lectures: MWF 10:30-11:20 CLH B. Instructor Michael Haslam. Office: Ross S621 Tel: (416) 736-2100 ext. 44645 Office Hours: By appointment Important Dates October Reading Week (Oct 9-15) No Classes December 10 fall term classes end For information on other important dates at York University, please check: http://www.registrar.yorku.ca/importantdates/fw10.htm Evaluation The final grade for the course will be based on five term tests weighted at 10% each and a final exam weighted at 50%. The date of the final examination will be announced near the end of the term. The tentative dates for the in-class terms tests are as follows: Test 1: Oct.1 Test 2: Oct. 22 Test 3: Nov. 5 Test 4: Nov. 19 Test 5: Dec. 3 Calendar Description Topics covered include partial derivatives; grad, div, curl and Laplacian operators; line
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Unformatted text preview: and surface integrals; theorems of Gauss and Stokes; double and triple integrals in various coordinate systems; extrema and Taylor series for multivariate functions. Other topics covered include curves and surfaces in Cartesian, cylindrical, and spherical polar coordinates; differential vector identities, Green’s theorem. Prerequisite One of AS/SC/MATH 1010 3.00, AS/SC/MATH 1014 3.00, AK/AS/SC/MATH 1310 3.00; or AS/SC/MATH 1505 6.00 plus permission of the course coordinator. Course Credit Exclusions AS/SC/MATH 2010 3.00, AK/AS/SC/MATH 2310 3.00, GL/MATH/MODR 2670 3.00, GL/MATH 3200 3.00. Textbooks (either is fine) James Stewart, Calculus: Early Transcendentals, Ed 6E., Thompson, 2008. Chapters 12-16. D.E. Varberg, E.G. Purcell, S. Rigdon, Calculus, 9 th Ed., Pearson/Prentice-Hall, 2007. Chapters 11-14....
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