MATH 2934.002( Fall 09) Calculus and Analytic Geometry III Class Information Sheet
Meet: 1:00 - 1:50 (MWF) COR 102 ; 2:00 - 2:20 (T) DEAN 106 Office: Corley 244 Instructor: Dr. Marcel Finan Webpage: http://syssci.atu.edu/math/faculty/finan/nteaching.html Office hours: 9:00 - 11:00(MWF), 8:30 - 9:30 (TR), 11:00 - 1:20 (T), 1:00 2:00 (R). E-mail:mfinan@atu.edu Phone: 964 - 0854 Course Description: This is the third of three courses in the basic calculus sequence. Topics include vector valued functions, functions of two or more variables, partial derivatives and their applications, quadric surfaces, multiple integration, vector calculus including Green’s Theorem, Divergence Theorem, line and surface integrals and Stoke’s Theorem. Prerequisites: MATH 2914 and Math 2924 or equivalent. Text: Calculus; Single and Multivariable, 4th ed., by Hughes-Hallett, Gleason, Mccallum, et al., published by J Wiley & Son Assessment Method: There will be FOUR 100-point tests and a 100-point final exam. Grades will be assigned on total points as follows: A (450 - 500), B(400-449) ,C(350 399), D (300-349), and F (below 300). Important Dates: The tests are scheduled for September 15, October 13 , November 10, and December 1 . Homeworks: Exams problems are very similar to the homework problems. As a result , make sure you understand how to work out these problems. Class Attendance Not all students come to class every day. There are a couple of reasons why this can adversely affect a student’s grade in the course. One type of student isn’t really interested and doesn’t really care. The consequences are obvious. Another type of student learns better by reading and seldom gets much out of a lecture and so they don’t go. There is a problem with this too. During the lectures I let students know what I think is important in the course and it turns out that I make up the exams and I tend to put what I think is important on the exams. A student who doesn’t pay any attention to what happens in class might miss this important connection. So, if you are among those who regularly cut class, I advise you to stay in close contact with someone who does go so that 1
you will know what I am doing in class and what I think is important. You will not get that from the book. The point of this paragraph is that there are good students who don’t come to class but who study very hard and then find that their decisions about what was most important to study were wrong. If you have perfect attendance in the course, and if you are short by three points for a higher letter grade then you will be awarded these points. Getting Help The department runs a help room, Corley 231, which is open most of the day; check door for times. This is the easiest, most convenient way to get help if you need it. It is there right when you want it. You can catch me during office hours and I am also available by appointment. Study Habits All of you are good enough to get an A in the course. What will determine the grade is a combination of motivation and study skills. Motivation shouldn’t be a problem since the material is great. Study skills are harder to come by. In a nutshell though, the point is: you learn math by doing. You can watch people do math all day and not get much of an education. Do it. Work problems. Memorize every theorem and definition in the class notes. You need to know them all anyway, why make it up when you need it? Just learn it and remember it. Then work every single homework problem. If you get help from someone, then go back and work it again by yourself the next day. I cannot emphasize enough how important that last statement is. Read it again. Standard Reminders • No make up exam will be given under any circumstances. • Academic honesty is expected at all times. Cheating on a test or willful plagiarism will result in your receiving a grade of zero on the test or assignment. Repeated cheating or flagrant plagiarism will result in your failing the course. • Class lecture notes are available by accessing the website http://syssci.atu.edu/math/faculty/finan/2934/notes.html Key to Success • Attend all classes on time. • Read the lecture before class if possible. • Ask questions and participate in class. • Review class notes after each class. • Begin working on homework problems as soon as they are assigned. • Discuss questions with your classmates. • Practice problems without notes, textbook, calculators, peers or tutors. • Go to Math Help Room, come to office hours, make an appointment, or email me whenever you have questions. • Have an enjoyable learning experience.
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Course Objectives: 1. Demonstrate comprehension of the geometry of space. Plot vectors and compute their magnitudes. Compute the dot product, the cross product and the angle between two vectors. Determine if lines in space are parallel or perpendicular. Find the equation of a line in space. Transform between rectangular, cylindrical and spherical coordinate systems. Convert equations for quadric surfaces to standard form and identify the surface. 2. Demonstrate comprehension of vector valued functions. Define continuity and derivative of a vector valued function. Compute derivatives and interpret them in terms of velocity, acceleration, etc. Find tangent vectors and normal vectors. Compute arc length and curvature. 3. Demonstrate comprehension of functions of several variables. Discuss limits, continuity and partial derivatives for functions of several variables. Compute partial derivatives. Compute the gradient and directional derivatives. Find extreme values of a function of several variables. Use the method of Lagrange multipliers. 4. Demonstrate comprehension of multiple integration. Compute double and triple integrals and apply the results to area and volume problems. Use polar, cylindrical and spherical coordinate systems in multiple integration. Use the Jacobian to change variables in multiple integration. 5. Demonstrate comprehension of vector calculus. Define and sketch vectors in a vector field. Find the curl and divergence of a vector field. Evaluate line and surface integrals. Use Green’s, Stoke’s and Divergence Theorems.
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