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MATH 105 CALCULUS and ANALYTIC GEOMETRY Monday, Tuesday, Wednesday, Thursday 8:00 to 9:05 AM Room E 106 5 UNITS Instructor Larry Green Phone Number Office: 541-4660 Extension 341 e-mail:...greenl@ltcc.edu Web Page: http://www.ltcconline.net/greenl/courses/105/105.htm
Required Text Calculus Eighth Edition by Larson Hostetler and Edwards Course description The topics covered in this course include elements of analytic 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. Course Objectives The successful student will
Prerequisite A grade of C or better in Math 104 (Trigonometry) and Math 103B (College Algebra) or equivalent or appropriate skills demonstrated through the math assessment process Grading Policy Your letter grade will be based on your percentage of possible points. A 90 -- 100% C 70 -- 79% B 80 -- 89% D 60 -- 69% Homework: ........................................…150 points Midterm 1: Oct. 6 .....................…….....150 points Midterm 2: Nov 7................................…150 points Midterm 3: Nov 30 ..................…………150 points Project: Nov 23....................................50 Points Final Exam: Dec 5, 8:00 to 9:50 AM……350 points
Exam Policy Students are to bring calculators, pencils or pens, and paper to each exam. Grading will based on the progress towards the final answer, and the demonstration of understanding of the concept that is being tested, therefore, work must be shown in detail. Any student who cannot make it to an exam may elect to take the exam up to two days before the exam is scheduled. Without a proven medical excuse, a 10% per day penalty will be given for each day the exam is taken late. If all homework assignments are turned in for the quarter, and no more than three assignments are late, then the midterm with the lowest score will be dropped.
Homework Policy Homework is due either at the end of class or by 5:00 PM in my office. The use of computers or calculators is strongly recommended. Also, feel free to consult a fellow classmate, a tutor, your instructor, or anyone else for assistance on the homework. Homework that is turned in within one week of the due date will be counted as half credit. Homework may be turned later than one week after the due date, but points will not be awarded. Click here for the homework reduction policy.
Daily Quizzes The first five minutes of each class, there will be a quiz that covers the main point from the previous lecture. Each quiz will count as 20% of the homework grade. Quizzes cannot be made up.
Extra Credit Any student who has turned in every homework assignment may elect to work on an extra credit assignment or project that will count as additional points towards either a midterm or the final. Extra credit assignments will be discussed on an individual basis during office hours.
Registration 1. You must register for this class at the Office of Admissions and Records. 2. You may drop the class with no penalty or mark on your record on or before Friday, October 14. 3. After October 14, you may drop the class and receive a grade of W until Friday, November 18. 4. After November 18, if you are enrolled, you will receive one of the following grades: A,B,C,D,F or I (Incomplete, must be negotiated with the instructor and is only allowed in special cases). In this class, it is your responsibility to drop the class in order to avoid an unwanted grade. You must go to the registrar by the above dates to avoid the unwanted grade. Project The project involves investigating an application of Differential calculus. The write-up of the project must be more than two pages (typed). You may write any equation by hand. You are encouraged to have Maple assist you in the project. You are also encouraged to work on the project in coordination with a non-math course that you are currently taking. You may work on the project in groups and if you choose to turn in a group project, the write up should be more than 1 + n pages where n is the number of individuals in your group. Learning Disabilities If you have a learning disability, be sure to discuss it with Larry. Learning disabilities will be accommodated. Tutoring: Tutors are available at no cost in G4 (The Gateway Math Center).
OFFICE HOURS: Monday ............................. 10:00 to 11:00 AM A210 Tuesday ............................. 9:05 to 10:00 AM GMC Wednesday ..................... 9:30 to 10:35 AM GMC Thursday ........................ 12:00 to 1:00 PM A210 Friday .................................. 10:00 to 11:00 AM A210 CALCULATORS and SOFTWARE: The Texas Instruments 89 calculator is required for this course. It is strongly recommended that students unfamiliar with the TI 89 calculator enroll in the calculator workshop courses (Math 191V and 191W). A limited number of computers have the Maple software on campus. It is recommended that students purchase the student version of Maple.
HOMEWORK ASSIGNMENTS Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment. For all "True or False" exercises, an answer of "True" must also be accompanied by an explanation. Date Topic Section Exercises 9-19 Introductions 9-20 Calc Preview 1.1 1-11 9-21 Limits (Geom) 1.2 2,3,7,9-18,19,23,26,49,59,63-66 9-22 e-d 1.2 33,36,37,38,40,41,43,47,62,70
9-26 Limits (Alg) 1.3 1,8,19,34,37,44,46,53,60,67,72,85,94,102,115,116,118 9-27 Continuity 1.4 1,10,17,26,30,37,44,50,59,71,76,80,90,91,92,99,108 9-28 Inf Limits 1.5 1,6,11,23,34,41,48,55,58,61,63,67,68,69,70,71 9-29 Derivatives 2.1 1,6,9,12,15,18,21,24,26,29,37,38,39,40,41,43,44,45,46
10-3 Derivatives 2.1 57,60,65,70,73,80,86,91,99,100,101,102 10-4 Der Rules 2.2 3,8,13,18,23,28,33,38,43,52,57,64,75,81,83,85,95,97,100,108 10-5 X, / Rules 2.3 5,12,17,20,33,44,59,64,71,78,81,88,92,95,108, 113,116,84,128,134 10-6 Miderm I
10-10 Return Midterm I 10-11 Chain Rule 2.4 1,8,13,18,24,29,40,43,48,53,60,65,70 10-12 Chain Rule 2.4 73,78,83,88,93,97,100,101,104,111,118,120,121 10-13 Implicit Diff 2.5 1,4,7,10,13,16,19,22,25,28,31,34,37,40,43
10-17 Implicit Diff 2.5 46,49,52,55,58,61,64,67,71,74,77,SP 10-18 Related Rates 2.6 1,4,5,8,10,11,14,17,19,22,25,27 10-19 Related Rates 2.6 28,30,31,34,36,37,39,40,42,43,44,49,54 10-20 Extrema 3.1 1,6,10,13,16,19,22,25,29,36,39,44,57,59,61,62,65,69
10-24 Rolle's Thm 3.2 1,4,7,10,13,16,19,21,22,27,29 10-25 MVT 3.2 31,34,37,40,42,43,48,51,53,56,59,60,63,65,74,75,81,84 10-26 1st Der Test 3.3 6,11,16,21,26,31,36,41,50,55,58,59,60,69,79,82,95,96,99,SP 10-27 2nd Der Test 3.4 1,8,15,22,29,36,43,46,51,54,58,63,72,81,84
10-31 Asymptotes 3.5 1,6,11,16,21,26,30,35,40,45,50,61,68,86,87,88,99 11-1 Curve Sketching 3.6 1,4,7,14,21,30,39,47,52,67,73 11-2 Optimization 3.7 3,11,17,20,23,26,29,33,36,39 11-3 Optimization 3.7 43,45,48,49,52,55,58,SP
11-7 Midterm II 11-8 Return Midterm II 11-9 Newton's Method 3.8 1,4,7,10,13,16,19,22,25,28,31,34,39,42,45,46 11-10 Differentials 3.9 1,4,7,10,13,16,22,25,28,31,34,37,38,41,44,48,50,55,56,57 11-14 Antiderivatives 4.1 1,6,15,22,29,36,43,48,55,60,66,73,74,76,82,87,91 11-15 Area 4.2 1,6,11,16,19,21,26,30,33,36,39,42 11-16 Area 4.2 47,50,53,56,59,62,65,78,80,84 11-17 Riemann Sums 4.3 1,6,11,16,21,26,31,39,44,48,57,64
11-21 Fund Thm Calc 4.4 1,4,9,14,19,24,29,32,37,42,47,52 11-22 Fund Thm Calc 4.4 61,62,67,74,80,81,86,87,92,97,100,101,103 11-23 Project Due 11-24 Happy Thanksgiving 11-28 Substitution 4.5 1,10,19,28,37,46,54,61,68,73,84,91,113,116,119,125 11-29 Approximation 4.6 1,6,11,16,21,24,35,39,48,50 11-30 Midterm III 12-1 Return Midterm III 12-5 Comprehensive Final Exam 8:00 AM - 9:50 AM
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