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/depts/math/

Grades:  

Required Text Calculus seventh 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.

Course Objectives  The successful student will

  1. exhibit a proficiency in the topics covered in the course;
  2. engage in logical and critical thinking;
  3. read technical information; and 
  4. demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate mathematical statements, and checking and verifying results

 

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 29....................…..….....150 points
Midterm 2: May 25..............................…150 points
Midterm 3: Jun 17....................…………150 points
Poster Session: April 26 ..........................150 points
Final Exam: Jun 22..............................….300 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 is to be turned in 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 Maple,  or Origin assist you in the project. You must work on the project with at least one partner. Your abstract is to be a one-paragraph description of your project. It will be due on April 18.  Included in your abstract should be a set of references that you intend to use.  From 12:00 to 2:00 on April 26 you will be expected to stand by your project and give a 5 minute presentation to 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 in order to attend.

2. You may drop the class with no penalty or mark on your record on or before Friday, April 29.

3. After April 29, you may drop the class and receive a grade of W until Friday, June 3.

4. After June 3, 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. 

 



OFFICE HOURS:

Room A210

Monday.......................................................... 11:00 to 12:00 

Tuesday.......................................................... 9:00 to 10:00 (In GMC)

Wednesday......................................... ........... 11:00 to 12:00 (In GMC)

Thursday......................................................... 12:00 to 1:00 

Friday.............................................................. 11:00 to 12:00 



CALCULATORS: The Texas Instruments 89 calculator is required for this class.   

 

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

4-4     Introductions

4-6     8.1    Sequences      10,15,20,31,36,52,60,69,80,90,98,99,100    
          8.2    
Series             1,7,15,18,21,40,51,56,64,68,74,81,91,99,100,SP

4-8    8.3      Integral & P Test  1,6,11,16,21,26,28,34,39,46,51,SP

 

 

4-11    8.4    Comparison Test    3,7,14,16,21,26,29,37,44,55,56,57,58,65,SP

4-13   8.5     Alternating Series  1,6,11,16,21,26,31,36,41,46,51,53,60,67,68,79

4-15  8.6      Ratio & Root Test 1,6,11,16,21,26,31,36,41,46,51,56,61,66

 

4-18   8.7      Taylor Polys          1,6,11,16,17,20,24,32,38,41,46
          8.8     Power Series          1,4,7,10,13,16,19,22,25,28,34

4-20   8.8     Power Series          36,39,40,48,49,51,54,59,60,61,62

4-22  8.9    Functions & Series    1,7,12,16,19,22,25,36,39,41,51,53,54,58

 

4-25   Work on Poster Session           

4-26    Poster Session 12:00 - 2:00

4-27  8.10   Taylor Series            1,6,11,16,21,26,31,33,38,39,46,49,52,55,60,69

4-29             Midterm I

 

 

5-2   9.1     Conics                     6,15,29,42,49,60,65,83,86,89,104,105,108,111,120

5-4   9.2     Parametric Equs.      1,11,20,31,40,45,52,65,66,73,74,75,SP

5-6    9.3     Parametric Calc.       1,11,18,23,28,34,39,44,51,58,64,77,78

 

 

5-9     9.4     Polar Curves             1,12,21,26,33,44,56,61,83,113,114,115,SP

5-11    9.5     Polar Area                1,6,11,16,21,26,31,41,46,51,56,61,63,64

5-13   10.1    Plane Vectors           1,12,21,30,37,46,49,56,69,80,89,92,100
          10.2  
Space Vectors           1,11,18,28,35,42,47,56,73,76,85,104,108

 

 

5-16  10.3    Dot Product              1,15,22,29,38,39,48,52,69,73,74,81  
         10.4  
Cross Product            1,8,15,24,31,36,41,46,53,54,55

5-18  10.5   Lines & Planes            1,8,11,20,31,36,44,49,58,68,75,SP

5-20   10.6   Surfaces                      1,6,13,17,22,27,42,47,51,62

 

 

5-23   10.7   Cyl/Spher. Coords.       3,10,15,24,27,31,40,45,52,63,73,85,94,101

5-25          Midterm II

5-27   12.1    Multivar. Functions       1,8,13,22,33,40,47,50,57,69,75,81,86,87,89

  

 

5-30          Memorial Day

6-1  12.2    Limits & Continuity       3,8,11,19,25,26,33,36,39,42,47,51,52,55,56,57,58

6-3  12.3   Partial Derivatives           1,8,15,22,29,36,37,46,51,62,74,80,86,93,102,SP

 

 

6-6    12.4   Differentials                     1,8,15,20,30,37,38,39,40

6-8     12.5   Chain Rules                     1,8,11,16,23,30,35,40,45,51,55,59,63

6-10   12.6 Gradient Vector              1,10,15,20,24,31,40,58,71,77,78,79,80
          12.7
   Tangent Planes                 1,8,13,20,27,32,43,48,57,SP

   

 

6-13   12.8   Extrema                            1,8,15,22,25,32,39,46,53,57,63,64

6-15   12.9   Apps of Extrema               1,8,15,18,36,43
          12.10  Lagrange Mult.                 1,8,20,34,37,39 

6-17         Midterm III

 

6-22      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.