Houston Community College Fall 2011 Northwest College CRN: 55171 Math Department Math 2415: Calculus III Instructor : Hung Q. Dam August 29 to December 12 Phone : 832-798- 5983 MW: 6:00 pm to 8:00 pm COURSE SYLLABUS Audience: This course is intended basically for students who are pursuing degrees in mathematical sciences and engineering and who are required by the nature of their respective curricula to enroll in the 3-semester calculus series. Students enrolled in other areas not requiring calculus may wish to take this course as an elective to broaden their mathematical background, provided the following necessary prerequisites have been met. Prerequisites: Math 2414. Pass with a C or better. Course Intent: This course provides a detailed study of: (a) Vectors and the Geometry of Space (b) Vector-Valued Functions (c) Functions of Several variables (d) Multiple Integration (e) Vector Analysis Course Objectives: Upon completion of this course, a student should be able to: (1) Apply calculus to vectors and vector-valued functions (2) Describe and use partial differentiation (3) Apply Lagrange multipliers to solve problems (4) Solve multiple integrals (5) Find the Jacobian using determinant notation (6) Apply Green s theorem to evaluate line integrals around a bounded area (7) Apply the Divergence theorem and Stokes' theorem to specific problems Text Book:. CALCULUS by Larson & Edwards, 9th edition, Brooks/Cole, Cengage Learning, 2010 Resource Materials: Any student enrolled in Math 2415 at HCCS has access to the Academic Support Center where they may get additional help in understanding the theory or in improving their skills. The Center is staffed with mathematics faculty and student assistants, and offers tutorial help, video tapes and computer assisted drills. Also available is a Student s Solutions Manual which may be obtained from the Bookstore. Suggested Methods: Students are encouraged to work the review exercises at the end of each chapter. Also, they are encouraged to visit the Academic Support Center at their respective college.
Attendance : Regular attendance is extremely important in mathematics classes. You may be dropped for excessive absence (more than 12.5% of the class time, or 2 weeks or the equivalent). Veterans with excessive absence will be dropped with an official drop form by the last drop day. If you should decide to withdraw from the course, initiate a student drop in the office. Should your name remain on the roll at the end of the term, you must receive a grade. Major Exams: There will be 3 major exams. Each major exam score will count for 25% of the final course average. Final Exam: The final exam will cover all the course material. The final exam score will count for 25% of the final course average. Grading Formula: The grading formula is : Course average = ( T1 + T2 + T3 + F ) ( 0.25 ) where T1, T2, T3 are the 3 major exam scores, and F the final exam score. Americans With Disabilities Act (ADA): Persons needing accommodations due to a documented disability should contact the ADA counselor for their college as soon as possible. Departmental Policies: 1. The final exam is comprehensive and questions on it can deal with any of the course objectives. 2. Each student should receive a copy of the syllabus for the course on the first day of class. 3. A comprehensive final examination must be given. The final examination must be taken by all students. 4. All major exams should be announced clearly in advance in the course syllabus. 5. The final exam must count for at least 25% and at most 40% of the final grade. 6. The final course average will be used in the usual manner. Grades will be assigned as follows: Course average : Grade : 90-100 A 80-89 B 70-79 C 60-69 D Below 60 F 7.Either an open book or a take-home major exam may be given at the discretion of the instructor. 8. Review sheets (if any) should be comprehensive and the student should not feel that classroom notes, homeworks and major exams may be ignored in favor of the review sheets for examinations.
COURSE CALENDAR, MATH 2415 : CALCULUS III SESSION DATE TOPICS SECTIONS WEEK # 1 M Aug 29, 2011 W Aug 31, 2011 Vectors in the plane Space coordinates and Vectors in Space The dot product of 2 vectors 11.1 11.2 11.3 WEEK # 2 M Sep 05, 2011 Labor Day Holiday No class W Sep 07, 2011 The cross product of 2 vectors in Space Lines & planes in Space 11.4 11.5 WEEK # 3 M Sep 12, 2011 Surfaces in Space 11.6 W Sep 14, 2011 Cylindrical & Spherical Coordinates 11.7 WEEK # 4 M Sep19, 2011 Major Exam # 1 11.1 11.7 W Sep 21, 2011 Vector Valued Functions (VVF) Differentiation & Integration of VVF 12.1 12.2
COURSE CALENDAR, MATH 2415 : CALCULUS III WEEK # 5 M Sep 26, 2011 Velocity & Acceleration 12.3 W Sep 28, 2011 Tangent vectors & Normal vectors Arc length & Curvature 12.4 12.5 WEEK # 6 M Oct 03, 2011 Functions of several variables Limits & Continuity 13.1 13.2 W Oct 05, 2011 Partial Derivatives 13.3 WEEK # 7 M Oct 10, 2011 Differentials Chain Rules for functions of Several Variables 13.4 13.5 W Oct 12, 2011 Directional Derivatives & Gradients 13.6 WEEK # 8 M Oct 17, 2011 Major Exam # 2 12.1 13.6 W Oct 19, 2011 Tangent planes & Normal lines Extrema of functions of 2 variables 13.7 13.8
COURSE CALENDAR, MATH 2415 : CALCULUS III WEEK # 9 M Oct 24, 2011 Applications of Extrema of Functions of 2 Variablles 13.9 W Oct 26, 2011 Lagrange Multipliers 13.10 WEEK # 10 M Oct 31, 2011 Iterated Integrals & Area in the plane Double Integrals & Volume 14.1 14.2 W Nov 02, 2011 Change of Variables. Polar Coordinates 14.3 WEEK # 11 M Nov 07, 2011 Center of Mass & Moments of Inertia Surface Area 14.4 14.5 W Nov 09, 2011 Triple Integrals & Applications 14.6 WEEK # 12 M Nov 14, 2011 W Nov 16, 2011 Major Exam # 3 Triple Integrals in Cylindrical & spherical Coordinates. Change of Variables: Jacobians 13.7 14.6 14.7 14.8
COURSE CALENDAR, MATH 2415: CALCULUS III WEEK # 13 M Nov 21, 2011 W Nov 23, 2011 Vector Fields Line Integrals Thanksgiving holiday 15.1 15.2 No class WEEK # 14 M Nov 28, 2011 Conservative fields & Independence of Path Green s Theorem 15.3 15.4 W Nov 30, 2011 Parametric Surfaces Surface Integrals WEEK # 15 15.5 15.6 M Dec 05, 2011 Divergence Theorem 15.7 W Dec 07, 2011 Stokes s Theorem 15.8 WEEK # 16 M Dec 12, 2011 W Dec 14, 2011 No class Final Exam from 6:30 pm to 8:30 pm 14.7 15.8 Merry Xmas and Happy New Year!!