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MATH 106 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 Office: 541-4660 Extension 341
Internet e-mail:...greenl@ltcc.edu Home Page: http://www.ltcc.edu/programs/math Required Text Calculus by Chan, Staneck, and Green
Course description The topics covered in this course include applications of the integral, techniques of integration, exponential and logarithmic functions, hyperbolic functions, and inverse trigonometric functions. .
Prerequisite A grade of C or better in Math 105 or equivalent.
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: Jan 21.....................…..….....150 points Midterm 2: Feb 11................................…150 points Midterm 3: Mar 4.....................…………150 points Project: Mar 17....................................75 Points Final Exam: Mar 21............................….325 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 Integral calculus that is an application of a course that your are taking or an interest that you have. The write-up of the project must be more than three 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 3 + n pages where n is the number of individuals in your group. Your abstract is to be a one paragraph description of your project. Included in your abstract should be a set of references that you intend to use.
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, January 29.
3. After January 29, you may drop the class and receive a grade of W until Friday, March 5.
4. After March 5, 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 themarket. The instructor will be using a TexasInstruments-85. Calculators (with the exception of those equipped with symbolic manipulation) will be allowed on the exams. Instructions on the TI 85 Calculator
HOMEWORK ASSIGNMENTS Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment.
Date Section Topic Problems Exercises
1-4 Introductions
1-5 Derivative Handout
1-6 5.1 Area 1, 4, 7, 10, 13, 16, 21, 23, 29, 32, 36, 5.2 Riemann Sums 4, 7, 12, 17, 22, 27, 30, 34, 35
1-7 5.3 1st Fund Thm of Calc 4, 5, 7, 10, 13, 16, 19, 23, 26, 20, 29, 32, 39
1-11 5.4 2nd Fund Thm of Calc 3, 4, 6, 11, 16, 17, 19, 22, 26, 27, 31, 34, 38, 43, 49
1-12 5.5 Substitution 1-6 1, 2, 3, 4, 6, 7, 10, 12, 13, 15, 16
1-13 5.5 Substitution 17, 20, 23, 26, 29, 32, 35, 36, 39, 42, 45, 48, 51, 54, 55, 56
1-14 6.1 Area Between 2 Curves 1, 2, 3, 8, 13, 18, 23, 28, 33, 38, 43, 47
1-18 Happy Birthday Martin Luther King Jr.
1-19 6.2 Disks and Washers 1-6 1 ,2, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36
1-20 6.2 Disks and Washers 7-9 37, 38, 40, 41, 43, 46, 49, 52, 53, + Both T or F
1-21 Midterm I
1-25 Return Midterm I
1-26 6.3 Cylindrical Shells 1-5 1, 6, 11, 16, 21, 26, 31, 33, 36, 37, 38, 39, 40
1-28 6.4 Arclength and Surf Area 1-4 1, 2, 3, 8, 13, 18, 20, 25, 30, 35, 39
2-1 7.1 Review of Integration 1-7 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
2-2 7.2 Integration by Parts 1-9 Handout
2-3 7.3 Powers of Trig Function 1-10 1, 2, 7, 14, 21, 28, 35, 42, 47, 50
2-4 7.4 Trig Sub 1 3, 4, 5, 6, 8, 16, 23, 24, 29, 30, 33, 37, 41, 43, 49,
2-8 7.4 Trig Sub 2-4 2, 9, 12, 15, 18, 21, 25, 28, 31, 34, 38, 42, 45, 48, 51
2-9 7.5 Partial Fractions 1-10
2-10 7.5 Partial Fractions 1, 6, 11, 18, 25, 32, 37, 41, 42, 45, 54, 55
2-11 Midterm II
2-15 President’s Day
2-16 Return Midterm II
2-17 7.6 Logistics Growth 1, 2 1, 2, 3, 6, 7, 12, 29, 31, 32, 34
2-18 7.6 Logistics Growth 35, 36, 37, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49
2-22 7.7 Numerical Integration 1-3 1, 2, 3, 8, 11, 18, 20, 23, 25, 26
2-23 7.8 Simpson’s Rule 1-3 1, 2, 3, 7, 10, 13, 17, 18, 20, 25, 28
2-24 8.1 L’Hospital’s Rule1-4 1,3,8,13,18,23,28,33,28,34,48,50,51
3-2 8.2 Indeterminate Forms
3-3 8.3 Improper Integrals 1-4,6-9 1,6,15, 30, 39, 45
3-4 9.1Work 1,2,3,4 1,2,3,7,11,12,13,19,20,34
3-8 9.1 Work 5,6,7 5,10,15,21,26,27,28,32,35
3-9 Midterm III
3-10 Return Midterm III, Abstract Due
3- 11 9-2 Fluid Force 1,2,3 1,2,4,7,10,13,16,22,23,24,27
3-15 9.4 Moments and Centroids 1,2 1,2,3,6,8,12,17,22,27,32,37,40,43,46
3-16 9-5 Econ and Bio
3-17 9.5 Econ and Bio
3-18 Project Due
3-22 Comprehensive Final Exam
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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