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MAT 106 Calculus and Analytic Geometry Winter 2005
Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu
Office Hours: Room A210, Mon. & Wed. 1:00 - 2:00 PM Thurs. 12:00 - 1:00 PM GMC G4, Mon. & Fri. 9:30 - 10:30 AM And as always, by appointment.
Class Time and Location: Mon., Wed., & Fri. 8:00 - 9:25 AM, E106
Textbook: Calculus, 7th 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.
Course Description: This course is a continuation of MAT 105. Applications of the integral, techniques of integration, exponential and logarithmic functions, hyperbolic functions, and inverse trigonometric functions will be studied.
Prerequisite: A grade of C or better in MAT 105 or the 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: 150 points Exam1 (January 21) Exam2 (February 11): 450 points Exam3 (March 7) Final Exam (March 21): 300 points
You may check your grades at any point in the quarter by going to the following website and using your secret code:
http://www.gradesource.com/reports/1027/6685/index.html
Homework: Homework will be due by noon the 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 assigned for half credit. If all homework is turned in, and no more than two are late, the lowest regular exam score will be dropped.
Quizzes: There will be 6 quizzes given over the quarter. These quizzes will be designed to help prepare you for the exams, and quiz problems will be taken directly from the homework assignments. Your lowest quiz score will be dropped. Since one score will be dropped, you may not make up a missed quiz.
Exams: Students are to bring a pencil and blank scratch paper to each exam. 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 January 28. After January 28, you may drop the class and receive a grade of W until March 4. After March 4, if you are 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 (and I have money that says they will), I will let you know.
January3 5.1 Differentiation with Logarithms 5 5.2 Integration with Logarithms 7 5.3 Inverse Functions 10 5.4 Differentiation and Integration with Exponential Functions 12 5.5/Quiz I Bases other than e 14 5.6 Differential Equations 17 NO CLASS MARTIN LUTHER KING DAY 19 5.7 Separation of Variables 21 Exam I 24 5.8 Differentiation with Inverse Trig Functions 26 5.9 Integration with Inverse Trig Functions 28 5.10/Quiz II Hyperbolic Functions 31 6.1 Area Between Curves
February2 6.2 Volumes by the Disk Method 4 Quiz III Flex Day 7 6.3 Volumes by the Shell Method 9 6.4 Arc Length and Surfaces of Revolution 11 Exam II 14 6.5 Work 16 6.6 Moments, Centers of Mass, and Centroids 18 NO CLASS PRESIDENT’S DAY 21 NO CLASS PRESIDENT’S DAY 23 6.7/Quiz IV Fluid Pressure and Fluid Force 25 7.1 Basic Integration Rules 28 7.2 Integration by Parts
March2 Quiz V Flex Day 4 7.3 Trig Integrals 7 Exam III 9 7.4 Trig Substitution 11 7.5 Partial Fractions 14 7.7/Quiz VI L’Hopital’s Rule 16 7.8 Improper Integrals 18 Review 21 Final Exam Note: The final is from 8:00 - 10:00 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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