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Unformatted text preview: 1 CONCORDIA UNIVERSITY FACULTY OF ENGINEEING AND COMPUTER SCIENCE Course Outline ENGR 233 Section V Applied Advanced Calculus Winter 2010 INSTRUCTOR Dr. S. Samuel Li (Department of Civil, Building and Environmental Engineering) LECTURES: Tuesdays and Thursdays, Time: 08:45 10:00, Room: H- 407 Office: EV 6.171, Tel: 514-848-2424 ext. 3033, E-mail: firstname.lastname@example.org Office Hours: Tuesdays and Thursdays, 10:15 a.m. 11:30 a.m. COURSE OBJECTIVES To ensure that students acquire the mathematical knowledge and skills needed in their engineering courses and to provide a basis for more advanced techniques which are needed in subsequent years of their programs of study. Over the course span, the students should master the necessary knowledge and skills to be able to solve mathematical problems at an appropriate level in: Vectors and vector functions; Functions of several variables; Parametric representation of curves and surfaces; Differential vector calculus; Integral calculus for vectors; Double and triple integrals; Line and surface integrals; Stokes' Theorem; Divergence Theorem; Applications in engineering including fluid dynamics, heat conduction, and waves. At the end of this course, the students will be able to: Define and explain the concepts listed above, Apply rules and techniques to solve problems, and Identify and formulate engineering problems into mathematical forms, and solve them. TEXTBOOK Advanced Engineering Mathematics by Dennis G. Zill and Michael R. Cullen, 3 rd edition, Jones and Bartlett Publisher. COURSE MATERIAL Week Theme Text Reference 1 ( Jan. 5 & 7) 7-1 Vectors in 2-Space 7-2 Vectors in 3-Space 7-3 Dot product pp. 301-305 pp. 307-311 pp. 312-317 2 ( Jan. 12 & 14) 7-4 Cross Product 7-5 Lines and Planes in 3-Space pp. 319-322 pp. 324-329 3 ( Jan. 19 & 21) 9-1 Vector functions 9-2 Motion of a Curve 9-3 Curvature and Components of Acceleration pp. 452-457 pp. 458-461 pp. 463-466 4 ( Jan. 26 & 28) 9-4 Partial Derivatives 9-5 Directional Derivative 9-6 Tangent Planes and Normal Lines pp. 467-472 pp. 474-478 pp. 480-482 2 5 ( Feb. 2 & 4) 9-7 Divergence and Curl 9-8 Line Integrals (to be continued) pp. 483-487 pp. 489-496 6 ( Feb. 9 & 11) 9-8 Line Integrals (end) 9-9 Independence of Path pp. 489-496 pp. 498-504 7 ( Feb. 16 & 18) 9-10 Double Integrals pp. 505-511 pp....
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