MATH 107

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

WWW: http://www.ltcc.edu/programs/math

Grades:  http://www.gradesource.com/reports/320/2003/index.html 

Required Text Calculus sixth edition by Larson, Hostetler, and Edwards

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 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: .........................................…100 points
Midterm 1: Apr 24....................…..….....150 points
Midterm 2: May 21..............................…150 points
Midterm 3: Jun 13....................…………150 points
Project:      May 7 ...................................100 points
Final Exam: Jun 17..............................….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. 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.

Poster Project  The project involves investigating an application of calculus and physics.  Exceptions will be made for students without a physics background.  The display must be approximately 1 meter by 1.3 meters. You may write any equation by hand. You are encouraged to have Math View, Maple,  or Origin assist you in the project. Ideally you should work on the project with one partner, but an exception can be made under special circumstances. Your abstract is to be a one-paragraph description of your project. It will be due on April 23.  Included in your abstract should be a set of references that you intend to use.  From 12:00 to 1:00 on May 7 you will be expected to stand by your project and answer questions from the judges and observers.  The projected will be graded on both content and presentation.

Learning Disabilities If you have a learning disability, be sure to discuss it  with Larry. Learning disabilities will be accommodated.

Tutoring Individual math tutoring is available free of charge in the GMC (G4).

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, April 26 .
  3. After April 27, you may drop the class and receive a grade of W until Friday, May 31.
  4. After May 31, 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, Wednesday .......………….. 10:00 to 11:00 (In GMC)

Tuesday, Thursday……..................... 3:00 to 4:00 

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.

Date Section Topic                     Exercises

4-1     Introductions

4-2     8.1    Sequences      1,10,15,20,25,27,31,36,45,52,60,69,80,90,97,98,99,100

4-3     8.2     Series                  1,7,10,15,18,21,31,40,51,56,65,68,74,80,89,90,91,SP

4-4    8.3      Integral & P Test  1,6,11,16,21,26,27,30,43,46,49,52,55,SP

 

4-8    8.4    Comparison Test    3,8,13,16,21,26,29,37,44,47,48,49,50,58,SP

4-9   8.5     Alternating Series  1,6,11,16,21,26,31,36,41,46,51,54,58,59,60

4-10  8.6      Ratio & Root Test 1,6,11,16,21,26,31,36,41,46,51,56,61,66

4-11   8.7      Taylor Polys          1,6,11,16,17,20,24,32,33,38,41

 

4-15   8.8     Power Series          1,4,7,10,13,16,19,22,25,28,34

4-16   8.8     Power Series          36,39,40,42,49,50,51,52,53,54

4-17  8.9    Functions & Series    1,4,7,10,13,16,19,22,25,31

4-18  8.9    Functions & Series    33,36,39,42,45,48,51,52

 

4-22   8.10  Taylor Series             1,4,7,13,16,19,22,25,28,30,33,36

4-23  8.10   Taylor Series            37,41,44,47,50,54,55,61,63

4-24             Midterm I

4-25           Return Midterm I

 

4-29   9.1     Conics                     6,15,29,42,49,60,65,70,78,99,104

4-30   9.2     Parametric Equs.      1,11,20,31,40,41,65,66,67,68,69,SP

5-1    9.3     Parametric Calc.       1,11,18,25,34,39,46,57,64,69,70

5-2    9.4     Polar Curves             1,12,21,26,33,44,49,56,83,100,101,SP

 

5-6    9.5     Polar Area                1,6,11,16,21,26,31,41,46,56,60,61,62,63

5-7        Poster Session

5-8   10.1    Plane Vectors           1,12,21,30,37,46,49,56,69,84,85,86

5-9  10.2   Space Vectors          1,11,18,28,35,42,47,56,68,73,85

 

5-13  10.3    Dot Product              1,8,15,22,30,32,39,48,51,58,63

5-14  10.4   Cross Product            1,8,15,24,31,36,41,46,54,56

5-15   10.5   Lines & Planes            1,8,11,24,33,44,49,58,61,75,76,SP

5-16   10.6   Surfaces                      1,6,13,17,22,27,42,47,51,57

 

5-20   10.7   Cyl/Spher. Coords.  3,10,19,24,31,38,47,52,57,73,80,85,89,SP

5-21          Midterm II

5-22          Return Midterm II

5-23  12.1    Multivar. Functions       1,8,17,26,35,50,57,69,75,80,81

 

5-27          Memorial Day

5-28  12.2    Limits & Continuity       1,8,18,22,25,28,31,32,35,47,49,50,51,52

5-29  12.3   Partial Derivatives           1,8,15,22,29,36,37,46,51,62,74,81,86,87,SP

5-30  12.4   Differentials                     1,8,15,22,29,31,34,39,44

 

6-3   12.5   Chain Rules                     1,8,11,16,23,30,35,40,45,50,56

6-4   12.6 Gradient Vector              1,10,15,20,24,31,39,54,59,60,61,62,63,64

6-5   12.7   Tangent Planes                 1,8,13,20,27,36,43,48,53,SP

6-6   12.8   Extrema                            1,8,15,20,25,32,39,46,57,58,59,60

 

6-10   12.9   Apps of Extrema               1,8,15,22,36,43,SP  

6-11   12.10  Lagrange Mult.               1,8,15,20,27,34,35,37       

6-12        Review

6-13       Midterm III

 

6-17      Comprehensive Final Exam  8:00 AM - 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.