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MAT 105 Calculus and Analytical Geometry Fall 2005
Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu
Office Hours: Room A210, Mon. & Wed. 11:00 – 11:30 AM Tues. & Thurs. 3:15 – 3:45 PM Wed. & Thurs. 1:30 – 2:00 PM GMC G4, Tues. 1:00 – 2:00 PM Fri. 11:00 AM - 12:00 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-92. I should be able to help you individually if you have another type of calculator.
Course Description: This course deals with elements of analytical geometry, limit theory, continuity of the derivative and its applications, the antiderivative, the definite integral, the fundamental theorem of calculus, properties of the integral, and area.
Prerequisite: A grade of C or better in MAT 103B and MAT104, or appropriate skills demonstrated through the Math assessment process.
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 (October 7) Exam2 (October 28): 450 points Exam3 (November 18) Final Exam (December 7): 300 points
You may check your grades at any point in the quarter by going to the following website and looking up your secret number: http://www.gradesource.com/reports/1027/7825/index.html
Homework: Homework will be due by 1:00 PM the class day after it is assigned. Homework not turned in at this time will be considered late (no exceptions). 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 three are late, the lowest regular exam score will be dropped.
Quizzes: There will be 7 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: 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 October 14. After October 14, you may drop the class and receive a grade of W until November 18. After November 18, 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: 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.
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 my 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.
September19 1.1 Introductions, Preview of Calculus 21 1.2 Limits: Graphing, Numerical 23 1.2 Limits: e and d Definition 26 1.3 Limits: Analytical 28 1.4 Continuity and One-Sided Limits 30 1.5, Quiz I Infinite Limits
October3 2.1 Definition of the Derivative 5 2.2 Differentiation Rules (Basic) 7 Exam I 10 2.3 Product and Quotient Rules 12 2.4 Chain Rule 14 2.5, Quiz II Implicit Differentiation 17 2.6 Related Rates 19 3.1 Extrema 21 3.2, Quiz III Mean Value Theorem 24 3.3 First Derivative Test, Increasing & Decreasing Functions 26 3.4 Concavity 28 Exam II 31 3.5 Infinite Limits
November2 3.6 Curve Sketching: The Summary 4 3.7, Quiz IV Optimization 7 3.8 Newton’s Method 9 3.9 Differentials 11 NO CLASS VETERANS DAY 14 4.1, Quiz V Antiderivatives and Indefinite Integrals 16 4.2 Areas 18 Exam III 21 4.3 Riemann Sums and Definite Integrals 23 4.4 The Fundamental Theorem of Calculus 25 NO CLASS THANKSGIVING 28 4.5, Quiz VI Integration by Substitution 30 4.6 Numerical Integration
December2 Quiz VII Review 7 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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