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MATH 107 CALCULUS and ANALYTIC GEOMETRY
Mon, Tues, Wed, and Thurs 8:00 to 9:05AM Room E 106 5 UNITS
Instructor Larry Green
Phone Numbers Office: 541-4660 Extension 341 Home: 544-5486 (Not after 10:00 PM)
Internet WWW: www.ltcc.edu/programs/faculty/green/107/107.htm
Required Text Calculus fifth edition, by Larson, Hostetler, and Edwards
Recommended Text Study and Solution Guild for Calculus fifth edition by Heyd (A copy of this guild will be on reserve in the library.)
Course description The topics covered in this course include Taylor Polynomials,Series, Polar Coordinates,Vectors and Differentiation of Multivariate Functions. Prerequisite A grade of C or better in Math 106
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: .............................................100 points Midterm 1: April 21 8.1-8.7 .................150 points Midterm 2: May 13 8.8-8.10, Ch 10......150 points Midterm 3: June 4 Ch 11, 13.1-13.5........150 points Project: Due June 18................................100 points Final Exam: June 22, 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 series or multivariate calculus. If possible, you can expand the project that you worked on last quarter. 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 5 + 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, May 1.
3. After May 1, you may drop the class and receive a grade of W until Friday, June 5.
4. After June 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, Tuesday, Wednesday, Thursday and 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 will be allowed on the exams. For those students who cannot afford to buy a graphing calculator, a limited number of TI 85 calculators are available for rent in the Learning Assistance Center
HOMEWORK ASSIGNMENTS AND EXAMS
Date Section Due Topic Problem Numbers
April 6 Introductions
April 7 8.1 Sequences 1,8,12,18,25,33,38,47,57,78,85,89
April 8 8.2 Series & Convergence 1,8,9,18,21,23,41,48,53,64,70,85,86
April 9 8.3 Integral Test, p-Series 1,2,8,11,15,18,22,25,30,36,51,52
April 13 8.4 Comparison Test 1,4,8,11,13,16,19,24,25
April 14 8.4 Comparison Test 27,30,36,37,42,44,45,46,47,48,49,50
April 15 8.5 Alternating Series 1,4,11,20,21,28,39,43, 49,50,51,52,53,54 April 16 8.6 Ratio & Root Test 5,10,12,20,21,27,35,40,47,53,56
April 20 8.7 Taylor Polynomials 3,7,13,16,17,20,23,30,32,42,47
April 21 MIDTERM I
April 22 Return Midterm I
April 23 8.8 Power Series 1,3,6,10,14,17,22,25,28,30
April 27 8.8 Power Series 31,32,35,38,39,40,42,47,48,49,50
April 28 8.9 Functions & Power Series 1,6,9,14,16,17,19,22,25
April 29 8.9 Functions & Power Series 29,30,33,35,42,45,47,48
April 30 8.10 Taylor/McLauren Series 1,5,10,17,20,23,26,28
May 4 8.10 Taylor/McLauren Series 29,30,31,36,37,44,45,50,51,54,59
May 5 10.1 Parametric Equations 1,4,19,30,35,39,42, 47,54,60,61,66,67,68,70 Date Section Due Topic Problem Numbers
May 6 10.2 Calculus of Par. Eqs. 3,12,17,26,31,36,43,48,61,62,63,64
May 7 10.3 Polar Coord. & Graphs 1,8,12,22,29,37,40,47,61,69,85
May 11 10.4 Polar Area & Arc Length 1,6,9,18,23,28,35,41,57,58
May 12 10.5 Conics & Kepler's Law 1,5,6,11,18,21,38,53,54,55,57
May 13 MIDTERM II
May 14 Return Midterm II
May 18 11.1 Planar Vectors 1,6,15,22,27,34,42,68,77,78,79,80,81,82 11.2 3D Vectors 1,5,10,12,25,30,33,38,45
May 19 11.3 The Dot Product 1,9,14,23,38,41,48,49,51,53,54
May 20 11.4 The Cross Product 1,6,9,18,23,32,35,38,39
May 21 11.5 Lines and Planes 1,4,11,16,21,26,31,38,49,66,76
May 25 Memorial Day
May 26 11.6 Surfaces in Space 1,2,3,4,5,6,10,11,,20,25,28,43,55 11.7 Cylin. & Sph. Coord. 1,10,16,21,32,36, 59,60,61,62,63,64,65
May 27 13.1 Multivariable Functions 13,27,28,29,30,45,57,65,71
May 28 13.2 Limits & Continuity 6,8,27,30,32,45,46,47,48,49
June 1 13.3 Partial Derivatives 1,6,19,25,30,37,54,59,71,72,75,76,77,78
June 2 13.4 Differentials 1,8,11,16,19,23,26,29,30,31,32,37
June 3 13.5 Chain Rule 1,6,11,16,19,28,31,32,34,40,44,46
June 4 MIDTERM III Date Section Due Topic Problem Numbers June 8 Return Midterm III
June 9 13.6 Dir. Derivs. & Grads. 1,10,13,20,21,23,30, 43,48,52,55,57,58
June 10 13.7 Tan Planes & Norm Lines 1,10,14,15,22,25,34,41,51,53
June 11 13.8 Extrema 1,6,10,17,25,30,39,47,48,49,50
June 15 13.9 Applications of Extrema 1,9,11,18,22,25,31,34
June 16 13.10 Lagrange Multipliers 1,8,19,26,35,38
June 17 14.1 Iterated Integrals 1,8,15,24,28,35,38
June 18 Project Due
June 22 Comprehensive Final Exam Monday 8:00 to 9:50 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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