Engr 233 - Concordia University

CONCORDIA UNIVERSITYFACULTY OF ENGINEEING AND COMPUTER SCIENCEENGR 233 Applied Advanced Calculus Winter 2013Course web site: http://users.encs.concordia.ca/~n233_4/_______________________________________________________________________________Instructor:Contact Info:Office Hours:Coordinator: Dr. A. Sebak. Office: EV 15-179, abdo@ece.concordia.ca, 514-848-2424 x 4082Office Hours: T and J 11:00 am-12:00 noon, W 1:00-2:00 pm or by appointment.Course objectives:To ensure that students acquire the mathematical knowledge and skills needed in their engineeringcourses and to provide a basis for the more advanced techniques which are needed in subsequentyears of their study program. Over the course span, students should master the necessary knowledgeand skills to be able to solve mathematical problems at an appropriate level in: Vectors and vectorfunctions; Functions of several variables; Parametric representation of curves and surfaces;Differential vector calculus; Integral calculus for vectors; Double and triple integrals; Line andsurface integrals; Stokes' Theorem; Divergence Theorem; Applications in engineering includingfluid dynamics, heat conduction, waves,…At the end of this course, the student will be able to: Define and explain the concepts listed above Apply rules and techniques to solve problems Identify, formulate engineering problems into mathematical forms and solve them.Textbook: Advanced Engineering Mathematics by Dennis G. Zill and Michael R. Cullen, 4 th ed.Evaluation Description Weight distributionAssignments Mandatory, to be handed in person during tutorials 5 %Quizzes To be held during tutorial sessions, no quizzes in the 1 st week 10%Term TestTuesday March 4, 2013 @ 8:30 PM. Location will beannounced during class (up to and including Section 9.9)Engr 233-Winter 2013 125%Final Exam Date TBD. Additional information below 60%Please note that term tests missed for any reason, including illness, cannot be made up. If you missthe test, the final exam will count for 85%.NB: Final exam: Students are responsible for finding out the date and time of the final exam oncethe schedule is posted by the Examination Office. Any conflicts or problems with the scheduling ofthe final exam must be reported directly to the Examination Office, not to your instructor. It is theExaminations Office's policy that students are to be available until the end of the final exam period.NB: NO CALCULATOR, NO BOOKS are allowed in test and final exam.A formula sheet will be provided during the examination.Class Attendance: Students are expected to attend all of their classes and tutorials and areresponsible for any missed work. Announcements for assigned problems and quizzes will bemade during class time slot.

Course outlineWk Theme Reference Problems1 7-1 Vectors in 2-Space7-2 Vectors in 3-Space7-3 Dot product2 7-4 Cross product7-5 Lines and Planes in 3-Space3 9-1 Vector functions9-2 Motion of a curve9-3 Curvature. Components of Acceleration4 9-4 Partial Derivatives9-5 Directional Derivative9-6 Tangent Planes and Normal Lines5 9-7 Divergence and Curl9-8 Line Integrals (to be continued)6 9-8 Line Integrals (end)9-9 Independence of Path297-302307-306307-311313-318320-325440-445446-448450-454454-459460-464466-459469-473475-482475-482483-4927-1: 21,30,507-2: 24,27,29,437-3: 12,21,39,45,46,487-4: 3,13,45,48,517-5: 3,21,27,31,39,47,51,59,639-1: 4,5,1,24,25,27,29,33,39,41,42,459-2: 3,9,13,189-3: 9,10,17,18,21,22,249-4: 3,6,9,15,21,24,27,33,34,36,39,42,48,49,51,559-5: 3,6,12,15,18,24,27,33,41,439-6: 3,14,15,37,399-7: 9,15,21,27,30,37,409-8: 3,6,9,15,21,27,30,33,36,409-8: 3,6,9,15,21,27,30,33,36,409-9: 3,6,15,18,21,24,27Term Test (Tuesday March 01,2011) Sections 7-1 through 9-97 9-10 Double Integrals 493-499 9-10: 9,15,21,27,33,36,39,42,628 9-11 Polar Coordinates9-12 Green's Theorem501-505505-5099-11: 3,6,12,24,27,30,339-12: 3,6,9,12,18,19,24,25,279 9-13 Surface Integrals9-14 Stokes' Theorem511-516518-5229-13: 3,6,15,18,30,33,36,379-14: 3,6,9,12,13,1810 9-15 Triple IntegralsEXTRA (supplemental material):523-531 9-15: 6,15,21,24,27,34,45,48,51,54,57,69,72,75,78,81del operator in cylindrical and sphericalcoordinates11 9-16 Divergence Theorem 533-538 9-16: 3,6,9,12,15,17,18,2212 9-17 Change of Variables in MultipleIntegrals13 Miscellaneous & Review539-545 9-17: 3,7,9,13,23,27Notes:1. Your principal task in the course is to learn to solve the assigned problems. Solving theassigned problems is vital to learning the course material. The quizzes, class test and final examare based on the assigned problems (tutorials, assignments, in-class examples, etc.).2. You are training to be a professional engineer. Consequently, we expect you to behave like aprofessional. A professional engineer is polite, considerate and respectful of others. It is rude,inconsiderate, and disrespectful to your fellow students and to the professor to talk in class. No onecan learn if you are chatting to your neighbor!3. All Concordia University students must abide by the University's Academic Code ofConduct (Concordia University Undergraduate Calendar Section 16.3.13). Any suspected violationof the Code will be turned over to a University Committee for investigation. Penalties can be assevere as dismissal from the University.Engr 233-Winter 2013 2