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MAT 107 Calculus and Analytical Geometry Spring 2006
Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu
Office Hours: Room A210, Mon. 11:00 AM – 12:00 PM Wed. 12:00 – 1:00 PM Thurs. 12:00 – 1:00 PM GMC G4, Tues. 9:30 – 10:30 AM Fri. 11:00 AM – 12:00 PM And as always, by appointment.
Class Time and Location: Mon., Tues., Wed., & Thurs. 8:00 - 9:05 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.
Course Objectives: The successful student will: 1) exhibit a proficiency in the topics covered in the course; 2) engage in logical and critical thinking; 3) read technical information; and 4) demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate mathematical statements, and checking and verifying results.
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: 100 points Quizzes: 100 points Poster Project: 100 points Exam1 (April 24) Exam2 (May 15): 400 points Exam3 (June 5) Cumulative Final Exam (June 19): 300 points
You may check your grades at any point in the quarter by going to the following website: http://www.gradesource.com/reports/1027/9184/index.html Homework: Homework will be due by 2PM the class day after it is assigned. Homework not turned in at this time will be considered late. You may turn in homework up to one week after it is due for half credit. If all homework is turned in, and no more than three are late, the lowest regular exam score will be dropped.
Quizzes: There will be seven quizzes given over the quarter. They will occur every Monday we don’t have an exam scheduled (and Tuesday, May 30). 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 Physics classes 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 from 12-2 pm on May 9th.
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.
Registration Information: You must register for this class at the Office of Admissions and Records. You may drop the class with no penalty or mark on your record on or before April 28. After April 28, you may drop the class and receive a grade of W until June 2. After June 2, 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 GMC. V) Do math every day. Math is just like everything else: if you don’t practice, you become rusty.
Learning Disabled Students: It is important that students who are identified as being learning disabled speak to me about their special needs. I am more than willing to grant you reasonable accommodations.
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 for the first offense and a course grade of F for the second offense. 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. April3 9.1 Sequences 4 9.2 Series and Convergence 5 9.3 Integral Test and p-Series 6 9.4 Comparison Test 10 9.5,Quiz I Alternating Series 11 9.6 Ratio and Root Tests 12 9.7 Taylor Polynomials 13 9.8 Power Series 17 Quiz II Flex Day 18 9.9 Representing Functions with Power Series 19 9.10 Taylor and Maclaurin Series 20 10.1 Conic Sections 24 Exam I 25 Go Over Exam I 26 10.2 Parametric Equations 27 10.3 Calculus and Parametric Equations May1 Quiz III Flex Day 2 10.4 Polar Equations 3 10.5 Calculus and Polar Equations 4 11.1 Vectors in the Plane 8 11.2,Quiz IV Vectors in Space 9 11.3 Dot Products 10 11.4 Cross Products 11 11.5 Lines and Planes in Space 15 Exam II 16 Go Over Exam II 17 11.6 Surfaces in Space 18 11.7 Cylindrical and Spherical Coordinates 22 Quiz V Flex Day 23 13.1 Multivariable Functions 24 13.2 Limits and Continuity 25 13.3 Partial Derivatives 29 NO CLASS FEDERAL HOLIDAY IN HONOR OF MY BIRTHDAY 30 13.4,Quiz VI Differentials 31 13.5 Chain Rules June1 13.6 Directional Derivatives and Gradients 5 Exam III 6 Go Over Exam III 7 13.7 Tangent Planes and Normal Lines 8 13.8 Extrema for Functions of Two Variables 12 Quiz VII Flex Day 13 13.9 Applications of Extrema 14 13.10 Lagrange Multipliers 15 Review 19 Final Exam Note: The final is from 8:00 - 9:55 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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