Houston Community College Northwest College Katy Campus Math Department Instructor: Hung Dam Room: 126 Summer 2012 Math 2415 : Calculus III CRN : 82031 June 04 – July 26 T & Th (6:00 - 10:00 pm) Phone: 832-798-5983 COURSE SYLLABUS, CAL III, SUMMER 2012 Prerequisites: Math 2414. Pass with a “C” or better, or consent of the Department Head. Text Book:. CALCULUS WITH ANALYTIC GEOMETRY by Larson & Edwards, 9th edition, Brooks/Cole, Cengage Learning, 2010. Departmental Policies: 1. There will be 3 major exams. 2. An open book exam may be given at the discretion of the instructor. 3. There will be a comprehensive final exam and questions on it can deal with any of the course objectives. 4. The final exam must be taken by all students 5. The final exam is counted from 25% to 40% of the course average score, at the discretion of the instructor. 6. The course letter grade will be used in the usual manner. Letter grades will be assigned as follows : Course average score: 90 - 100 80 - 89 70 - 79 60 - 69 Below 60 Letter Grade: A B C D F 1 of 3 COURSE CALENDAR, MATH 2413 : CALCULUS III SESSION DATE TOPICS SECTIONS WEEK # 1 Tue June 05, 2012 Thu June 07, 2012 Vectors in the Plane Vectors in Space Dot-product of 2 vectors Cross-product of 2 vectors Lines and plane in Space Surfaces in Space Cylindrical & Spherical Coordinates 11.1 11.2 11.3 11.4 11.5 11.6 11.7 WEEK # 2 Tue June 12, 2012 Thu June14, 2012 Vector-Valued Functions (VVF) Differentiation & Integration of VVFs Velocity & Acceleration Tangent vectors Ts & Normal vectors Ns Arc lengths & Curvature Functions of several variables limits & Continuity 12.1 12.2 12.3 12.4 12.5 13.1 13.2 WEEK # 3 Tue June 19, 2012 EXAM # 1 Thu June 21, 2012 Partial Derivatives Differentials Chain Rules for Functions of Several Variables (FSVs) 13.3 13.4 13.5 WEEK # 4 Tue June 26, 2012 Thu June 28, 2012 Directional Derivatives & Gradients Tangent Planes & Normal Lines Extrema of Functions of Two Variables (F2Vs) Applications of Extrema of F2Vs Lagrange Multipliers Iterated Integrals & Area in the Plane 2 of 3 13.6 13.7 13.8 13.9 13.10 14.1 COURSE CALENDAR, MATH 2413 : CALCULUS III SESSION DATE TOPICS SECTIONS WEEK # 5 Tue July 03, 2012 Thu July 05, 2012 EXAM # 2 Double Integrals & Volume Change of variables: Polar Coordinates Center of Mass & Moments of Inertia 14.2 14.3 14.4 WEEK # 6 Tue July 10, 2012 Thu July 12, 2012 Surface Area Triple Integrals (TIs) & Applications TIs in Cylindrical & Spherical Coordinates Change of Variables: Jacobians Vector Fields Line Integrals 14.5 14.6 14.7 14.8 15.1 15.2 WEEK # 7 Tue July 17, 2012 Thu July 19, 2012 EXAM # 3 Conservative Vectors Fields & Independence of Path Green’s Theorem Parametric surfaces 15.3 15.4 15.5 WEEK # 8 Tue July 24, 2012 Thu July 26, 2012 Surface Integrals Divergence Theorem Stokes’s Theorem 15.6 15.7 15.8 FINAL EXAM 3 of 3