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MATH 105 CALCULUS and ANALYTIC GEOMETRY
Mon, Tues, Wed, and Thurs 8:00 to 9:05 AM Room E 106 5 UNITS
Instructor Larry Green
Phone Number: 541-4660 Extension 341
e-mail:...greenl@ltcc.edu WWW: http://www.ltcc.edu/programs/math
Required Text Calculus by Chan, Staneck, and Green
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.
Prerequisite A grade of C or better in Math 104 (Trigonometry) or an equivalent class, or a satisfactory score on the Mathematics assessment.
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. 12.....................…….....150 points Midterm 2: Nov 3................................…150 points Midterm 3: Nov 19..................…………150 points Project Dec 3..............................................50 Points Final Exam: Dec 7, 8:00 to 9:50 AM….350 points
Exam Policy Students are to bring calculators, pencils or pens, and paper to each exam. A one page (standard size) front and back formula sheet may be used during each midterm, and a two page formula sheet may be used during the final 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. If all homework is completed and no more than three homework assignments are counted late, then the midterm with the lowest score will be dropped.
Homework Policy Homework will be turned in at the end of class on the date due. If a student has additional questions, that student may see me after class in my office and then turn in the homework by 5:00 PM on the date due. 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. At the beginning of each class, a 2 to 5 minute quiz will be given. Each quiz will count as 20% of the homework assignment and cannot be made unless there is a medical excuse.
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.
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 Math View 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 2 + n pages where n is the number of individuals in your group.
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 16.
3. After October 16, you may drop the class and receive a grade of W until Friday, November 20.
4. After November 20, 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.
OFFICE HOURS: Room A210 Monday .......………….. 1:00 to 2:00 Tuesday, Thursday……. 3:00 to 4:00 Wednesday…………….9:15 to 10:15 Friday………………...11:00 to 12:00
CALCULATORS: A graphing calculator is required for this class. There are a variety of such calculators on the market. The instructor will be using a Texas Instruments-85. Calculators (with the exception of those equipped with symbolic manipulation) will be allowed on the exams.
HOMEWORK ASSIGNMENTS Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment.
Due Date Topic Section Problems Exercises
9-21 Introductions 9-22 Chapter Project 1.0 Questions 1-4 9-23 World in Motion 1.1 1-9, 13,16,19,22,25,28,33 9-24 e-d Game 2.0 1-8
9-28 e-d Game 2.0 9-14 9-29 Derivative & Interpret.2.1 2 1-4,6,9,10,13,16-18,20,21,24,25 9-30 Graph of Der 2.2 1-9 1-3,6,9,12,15,18,21,24,26,31 10-1 Geometry of Der 2.3 1-5 1,2,4,7,11,14,15,18,23,25,27,28,29
10-5 Limits and Der 2.4 1,2 1,3,6,11,15,18,20,22,25,28,32,38 10-6 Continuity and Der 2.5 1-5 1,2,3,7,12,19,25,28,29,32,36 10-7 Derivative Theorems 2.6 1-8 1,2,3,7,10,13-16,22,25 10-8 Derivative Theorems 2.6 26,29,32,35,38,41,42,45,48,51,54,59,60,65
10-12 Midterm I Sections 1.0, 1.1, and Chapter 2 10-13 Return Midterm I 10-14 Derivative of Polys 3.1 1-6 2,3,9,12,19,22,26,27,33,37,42,45,50 10-15 Prod and Quot Rules 3.2 1-6 1,3,6,9,12,45,49,50,59,60,62
10-19 Chain Rule 3.2 7-10 2,13,16,21,24,28,30,33,40,47,53,55 10-20 General Power Rule 3.3 1-6 3,6,9,12,17,20,22,25,28,31,33,40,43 10-21 Inverse funct. & Der 3.4 1,2 5,10,15,20,25,30,32-35,37,38 10-22 Exp, Log, & Hyp Der 3.5 1-8 2,5,8,14,17,21,27,30,41,46,51,58
10-26 Trig Derivatives 3.6 1-4 1,2,3,8,13,23,28,33,36,39,44,49,54 10-28 Implicit Diff 3.7 1-5 3,6,9,12,15,20,25,30,33,36,43,44,47 10-29 Inv Trig & Hyp Der 3.8 1-6 5,10,15,20,25,30,33,36,37,38
11-2 Related Rates 3.9 1-4 3,4,6,7,8,9,11,12,14,15,17,18 11-3 Related Rates 3.9 20,21,23,26,29,32,34,35,38,40 11-4 Midterm II Chapter 3 11-5 Return Midterm II
11-9 1st Derivative Test 4.1 1-9 1,2,7,12,17,22,27,39,42,45,50,55,58 11-10 2nd Derivative Test 4.2 1-7 1,2,4,9,11,16,21,26,31,38,43,48,53 11-11 Graphing Rat Funct 4.3 1-5 1,2,3,8,13,18,23,33,38,43,46,52,54 11-12 Optimization 4.4 1-5 3,8,13,18,23,28,33,38,43,48,53
11-16 Economics 4.5 1 1,2,3,6,9,12,15,18,21,24,27,30,34 11-17 Newton’s Method 4.6 1-4 1,2,3,6,9,12,15,18,21,24,27,30,53 11-18 Differentials 4.7 1-4 1,2,3,8,13,23,28,33,38,43,48,51,54 11-19 Exponential Growth 4.8 1-5 1,2,3,6,9,12,15,18,21,24,27,30
11-23 Midterm III Chapter 4 11-24 Return Midterm III 11-25 Area 5.1 1-4 2,3,6,9,12,15,19,20,22,24,27 11-26 Happy Thanksgiving
11-30 The Definite Integral 5.2 1-3 1,2,3,8,10,13,18,20,26,31,40,44,46,49 12-1 1st Fund Thm of Calc 5.3 1-6 1,2,3,6,9,12,15,18,22,25,28,31,34,36 12-2 2nd Fund Thm of Calc 5.4 1-6 1,2,5,10,15,20,25,30,36,39,42,45,48 12-3 Project Due 12-7 Comprehensive Final Exam 8:00 - 10:00 AM
HOW TO SUCCEED IN A MATH CLASS
1) Come to every class meeting.
2) Arrive early, get yourself settled, spend a few minutes looking at your notes from the previous class meeting, and have you materials ready when class starts.
3) Read each section before it is discussed in class
4) Do some math every day.
5) Start preparing for the tests at least a week in advance.
6) Spend about half of your study time working with your classmates.
7) Take advantage of tutors and office hours, extra help can make a big difference.
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