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MAT 105 Calculus and Analytical Geometry Fall 2006
Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu
Office Hours: Room A210, Tues. 9:30 – 10:00 AM, 3:00 – 3:30 PM Wed. 9:30 – 10:30 AM Thurs. 12:00 – 1:00 PM GMC G4, Mon. 9:30 – 10:30 AM Wed. 1:00 – 2:00 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.
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: 10% Quizzes: 15% Exam1 (October 4) Exam2 (October 23): 45% Exam3 (November 15) Final Exam (December 4): 30%
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/1027/9878/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. Your homework score will be determined in the following way: up to 5 points for completion and one point each for 5 problems chosen at random to be graded.
Quizzes: There will be 8 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 school 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 13. After October 13, you may drop the class and receive a grade of W until November 17. After November 17, 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.
September18 1.1 Introductions, Preview of Calculus 19 1.2 Limits: Graphing, Numerical 20 1.2 Limits: e and d Definition 21 1.3 Limits: Analytical 25 Flex Day Quiz I (Sections 1.1&1.2) 26 1.4 Continuity and One-Sided Limits 27 1.5 Infinite Limits 28 2.1 Definition of the Derivative
October2 Flex Day Quiz II (Sections 1.3-1.5) 3 2.2 Differentiation Rules (Basic) 4 Exam I (Chapter One) 5 Go Over Exam I 9 2.3 Product & Quotient Rules, Higher Order Derivatives 10 Flex Day Quiz III (Sections 2.1 & 2.2) 11 2.4 Chain Rule 12 2.5 Implicit Differentiation 16 2.6 Related Rates 17 Flex Day Quiz IV (Sections 2.3-2.5) 18 3.1 Extrema 19 3.2 Rolle’s Theorem and the Mean Value Theorem 23 Exam II (Chapter Two) 24 Go Over Exam II 25 3.3 First Derivative Test: Increasing & Decreasing Functions 26 3.4 Second Derivative Test: Concavity 30 3.5 Infinite Limits 31 Flex Day Quiz V (Sections 3.1-3.4)
November1 3.6 Curve Sketching: The Summary 2 3.7 Optimization 6 3.7 Optimization - Part II 7 3.8 Newton’s Method 8 Flex Day Quiz VI (Sections 3.5-3.7) 9 3.9 Differentials 13 4.1 Antiderivatives and Indefinite Integrals 14 4.2 Areas 15 Exam III (Chapter Three) 16 Go Over Exam III
November (continued) 20 4.3 Riemann Sums and Definite Integrals 21 4.4 The Fundamental Theorem of Calculus 22 Flex Day Quiz VII (Sections 4.1-4.3) 23 NO CLASS THANKSGIVING 27 4.5 Substitution 28 4.6 Numerical Integration 29 Flex Day Quiz VIII (Sections 4.4 & 4.5) 30 Flex Day Final Review
December4 Final Exam Note: The final is from 8:00 - 9:50 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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