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MAT 107 Calculus and Analytical Geometry Spring 2009
Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu
Office Hours: Room A210, Mon. 12:30 – 1:30 PM Tues. 9:00 – 10:00 AM Wed., Fri. 9:00 – 9:30 AM MSC A201, Wed. 1:00 – 2:00 PM Thurs. 12:00 – 1:00 PM And as always, by appointment.
Class Time and Location: Mon., Wed., & Fri. 9:30 - 10:55 AM, E106
Textbook: Calculus, 8th Edition, by Larson, Hostetler, & Edwards
Calculator: A graphing calculator is required for this class. I will be demonstrating with the TI-89. I should be able to help you individually if you have another type of calculator, but I offer no promises...
Course Description: This course is a continuation of MAT 106. It covers sequences and series, Taylor polynomials, polar coordinates, and differentiation and integration of multivariate functions.
Prerequisite: A grade of C or better in MAT 106 or equivalent.
Student Learning Outcomes: By the end of the term, students shall be able to
1. Test series for
convergence.
Course Grade: Your final letter grade will be based on the usual grading scale: A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59% The following items will make up the course grade: Homework: 15% Quizzes: 15% Poster Project: 10% Exam1 (April 27) Exam2 (May 18): 35% Exam3 (June 8) Cumulative Final Exam (June 24): 25%
You may check your grades at any point in the quarter by going to the following website:
http://www.gradesource.com/reports/1027/16043/index.html
Quizzes: There will be six quizzes given over the quarter. They will occur every Monday we don’t have an exam scheduled. These quizzes will be designed to help prepare you for the exams, and quiz problems will be taken directly from the homework assignments of the previous week. Your lowest quiz score will be dropped. Since your lowest score will be dropped, missed quizzes may not be made up.
Poster Project: Our class will join with the 2nd-year calculus class as well as the calculus-based physics class in the creation of posters demonstrating the use of calculus & physics in every day life. The requirements and due dates for the project will be provided at a later point. Poster presentations will be held at a date TBD.
Exams: All exams will be given in two sections: one portion will allow calculators while the other will not. If you cannot make it to an exam (final not included), you may take it up to 2 school days prior to the scheduled date with proper arrangements. Otherwise, the exam may be made up after the scheduled date with a penalty of 10% per day. The final exam may be taken no later than June 24th.
Registration Information: You must register for this class through the LTCC web page using WebReg. You may drop the class with no penalty or mark on your record on or before May 1. After May 1, you may drop the class and receive a grade of W until May 22. After May 22, if still enrolled, you will receive a grade of A, B, C, D, F or I.
How to Succeed in a Math Class: I am often asked how to successfully pass a math class, and here is my advice:
I) Come to every class session. Be prepared, and plan on participating. II) Do your homework. Remember that what I assign is what I consider a bare minimum. If you need more practice, do it. III) Read the book. You paid good money for it, so you might as well use it. IV) Make use of available tutors and my office hours. You will find tutors who know the subject matter in this course at the MSC. V) Do math every day. Math is just like everything else: if you don’t practice, you become rusty.
Learning Disabled Students: Students with disabilities who may need accommodations for this class are encouraged to notify me and contact the Disability Resource Center (DRC) early in the quarter so that reasonable accommodations may be implemented as soon as possible. Students may contact the DRC by visiting the Center (located in room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf students). All information will remain confidential.
Technology in the Classroom: All cell phones, headphones, MP3 players, iPods, etc, must be turned off and put away prior to the start of each class. No electronic devices (other than calculators) may be used during quizzes and exams.
Academic Dishonesty: Academic dishonesty of any form will not be tolerated. Students caught cheating on exams or quizzes will receive a score of zero on the assignment and all dropping of lowest exam or quiz scores will be forfeit. Students may work together on homework assignments (and, in fact, are encouraged to) as long as all students understand the material covered.
Course Schedule: The following is a tentative schedule. If things change, I will let you know. April6 9.1, 9.2 Sequences, Series and Convergence 8 9.3, 9.4 Integral Test and p-Series, Comparison Test 10 9.4, 9.5 More Comparison Test, Alternating Series 13 9.6,Quiz I Ratio and Root Tests 15 9.7 Taylor Polynomials 17 9.8 Power Series 20 9.9, Quiz II Representing Functions with Power Series 22 9.10 Taylor and Maclaurin Series 24 10.1 Conic Sections 27 Exam I 29 10.2, 10.3 Parametric Equations
May1 10.3, 10.4 Parametric and Polar Equations 4 10.5, Quiz III Calculus and Polar Equations 6 11.1, 11.2 Vectors in the Plane and Space 8 11.3 Dot Products 11 11.4, Quiz IV Cross Products 13 11.5 Lines and Planes in Space 15 11.6 Surfaces in Space 18 Exam II 20 11.7 Cylindrical and Spherical Coordinates 22 13.1 Multivariable Functions 25 NO CLASS MEMORIAL DAY 27 13.2 Limits and Continuity 29 13.3 Partial Derivatives
June1 13.4, Quiz V Differentials 3 13.5 Chain Rules 5 13.6 Directional Derivatives and Gradients 8 Exam III 10 13.7 Tangent Planes and Normal Lines 12 13.8 Extrema for Functions of Two Variables 15 13.9, Quiz VI Applications of Extrema 17 13.10 Lagrange Multipliers 19 Review 24 Final Exam Note: The final is from 10:00 - 11:50 AM
The following is a list of all homework assignments for this course. The due dates for the various sections will be given in class.
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