MAT 137 – 03 Calculus II Spring 2005 Department of Mathematics and Statistics Northern Arizona University INSTRUCTOR: Dr. John Hagood Office: AMB 131 Hours: MWF 1:50-2:40 TTh 3:00-3:50 Phone: 3-6879 E-mail: John.Hagood@nau.edu Web site: http://oak.ucc.nau.edu/hagood PREREQUISITE: A grade of C or higher in MAT 136. COURSE DESCRIPTION AND OBJECTIVES: MAT 137 continues the study of calculus with emphasis on calculation of integrals, improper integration, applications of integration, differential equations, infinite series, power series and vectors. Upon completion of the course, students should be able to: calculate or approximate integrals using various techniques; determine whether an integral is improper and, if so, whether it converges; calculate improper integrals; set up and compute integrals for applications such as volume, arc length, work, and other physical applications; analyze basic first order differential equations using slope fields, Euler's method and separation of variables; set up and use first order differential equations and systems in basic applications; use properties of vectors and basic vector algebra in computations and analysis; and construct equations of lines and planes in three dimensions. TEXT AND COVERAGE: Calculus: Concepts and Contexts, 2nd Ed, J. Stewart, Brooks-Cole, 2001, sections 5.6 – 9.5. A few sections (e.g., 6.6, 6.7; 8.10) will be omitted. ASSESSMENT AND GRADES: 1. Homework will be due 1-3 times each week. Most assignments may be computer based using the WeBWorK system (http://webwork1.math.nau.edu/webwork/Hagood_137 or follow links from the site above). 2. Quizzes may be given occasionally. Some of these may be take-home quizzes. 3. A few (4-6) technology projects will be assigned during the semester. These will require use of a variety of tools including web applications and software programs such as GraphCalc and DPGraph. 4. Four in-class examinations and a comprehensive final exam will be administered during the semester. Some exams may include a take-home portion. 5. The above requirements will be distributed as follows: Homework/Quizzes/Projects 20% Four exams (Tentative dates: Feb 9, Mar 6, Apr 6, Apr 27): 56% (14% each) Final exam (May 9, 10 am – 12 noon): 24% 6. Grades will be based on percentage of points earned according to the scale below: A: 90-100% B: 80-89% C: 70-76% D: 60-69% F: 0 – 59% The instructor reserves the right to lower grade cutoffs. OTHER: 1. More information, including homework assignments and announcements, will be posted on the section web site. 2. Any changes in the syllabus will be announced in class and posted on the section web site. 3. You may find if helpful to have a graphing calculator. The software GraphCalc and other freeware or web applications will suffice for study purposes, but these are not available for exams. Use of calculators may be restricted on portions of some exams. 4. Regular attendance is expected. Normally no provisions will be made to accommodate students who miss. 5. The WeBWorK system will not give credit for answers entered after the deadline, although it will indicate whether late answers are correct. 6. Missed exams and quizzes may not normally be made up without an institutional excuse. Exceptions are subject to the judgment of the instructor. 7. Late project reports are subject to reduction in points.