MATH 107

CALCULUS and ANALYTIC GEOMETRY

Mon, Tues, Wed, and Thurs 8:00 to 9:05 AM

Room A 211    5 UNITS

Instructor Larry Green

Phone Number

Office: 541-4660 Extension 341

Internet e-mail:...greenl@ltcc.edu

WWW: http://www.ltcc.edu/academics.asp?scatID=5&catID=34

Grades:  

Required Text Calculus eighth 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
Exam I: Apr 25.........................…..….....150 points
Exam II: May 22...................................…150 points
Exam III: Jun 14.........................…………150 points
Poster Session: May 8    ..........................150 points
Final Exam Jun 18...............................….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 regular exam 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.  Points for quizzes will only be awarded if the accompanying homework assignment is turned in on time.

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 an exam 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 May 1.  Included in your abstract should be a set of references that you intend to use.  From 12:00 to 1:30 on May 8 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).

 



OFFICE HOURS:

Room A210

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

Tuesday.......................................................... 9:05 to 10:00  (In GMC)

Wednesday......................................... ........... 11:00 to 12:05  (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.   

A WORD ON HONESTY:  Cheating or copying will not be tolerated. People who cheat dilute the honest effort of the rest of us.  If you cheat on a quiz or exam you will receive an F  for the course, not merely for the test.  Other college disciplinary action including expulsion might occur. Please don’t cheat in this class.  If you are having difficulty with the course, please see me.

HOMEWORK ASSIGNMENTS

Lecture will always be geared towards an explanation of the topics that will be covered on the upcoming homework assignment.  For True/False question you must explain your reasoning even if the statement is true.

Date Section Topic                     Exercises

4-2     Introductions

4-3     9.1    Sequences      1,10,15,20,25,27,31,36,45,52,60,69,80,90,117,118,119,120
                    Quiz

4-4     9.2     Series                  1,7,10,16,18,23,40,51,65,68,77,80,90,103,108,117,118,125,SP
                    Quiz

4-5    9.3      Integral & P Test  1,6,11,16,21,26,30,51,56,61,70,75,78,SP
                   
Quiz

 

4-9    9.4    Comparison Test    3,8,13,16,21,26,29,37,44,47,55,56,57,58,59,60,70,SP
                   Quiz 

4-10  9.5     Alternating Series  1,6,11,16,21,26,31,36,41,46,51,56,67,68,69,70,89,90
                    Quiz

4-11  9.6      Ratio & Root Test 16,21,26,31,36,41,46,51,56,61,66,71,74,79,86,91
                    Quiz

4-12   9.7      Taylor Polys          1,6,16,20,25,41,46,51,56,59,68
                      Quiz

 

4-16   9.8     Power Series          1,6,11,16,21,26,31,36,41,46,51
                     Quiz

4-17   9.8     Power Series          56,64,69,7279,80,81,82,84
                    Quiz

4-18   9.9    Functions & Series    1,4,7,10,13,16,19,22,25,31
                    Quiz

4-19   9.9    Functions & Series    33,36,39,42,43,53,56,58,65
                    Quiz

 

4-23   9.10  Taylor Series             1,5,11,16,21,26,31,36,41
                    Quiz

4-24   9.10   Taylor Series            46,48,51,54,57,62,71,73,83
                    Quiz

4-25             Exam I

4-26           Return Midterm I  Orbits

 

4-30   10.1     Conics                     6,15,42,49,60,70,81,98,117,120
                      Quiz

5-1    10.2     Parametric Equs.      1,11,20,31,40,47,67,69,70,71,SP
                      Quiz

5-2    10.3     Parametric Calc.       1,11,18,23,30,39,46,51,60,69,82,99,100
                      Quiz

5-3    10.4     Polar Curves             1,12,26,33,40,49,60,76,83,115,116,117,118,SP
                      Quiz

 

5-7    10.5     Polar Area                1,6,11,16,21,26,31,41,46,56,6572,75,76
                      Quiz

5-8        Poster Session

5-9   11.1    Plane Vectors           1,12,21,30,37,46,49,56,68,84,95,96,97,98,99,100
                    Quiz

5-10  11.2   Space Vectors          1,11,18,28,35,42,47,56,68,73,85,111
                    Quiz

 

5-14  11.3    Dot Product              1,15,22,30,32,39,45,48,69,71,75,76,89
                    Quiz

5-15  11.4   Cross Product            1,8,15,24,31,36,41,46,53,54,55,59,63
                    Quiz

5-16   11.5   Lines & Planes            1,8,11,18,29,33,44,49,58,65,81,88,93,117,118,119,120,SP
                    Quiz

5-17   11.6   Surfaces                      1,12,17,22,27,42,47,51,57,63,64
                    Quiz

 

5-21   11.7   Cyl/Spher. Coords.  3,10,19,24,31,38,47,52,57,72,80,89,98,111,119,120,121,122
                    Quiz

5-22          Exam II

5-23          Return Midterm II

5-24   13.1    Multivar. Functions       1,8,17,29,34,46,55,57,69,75,78,83,88,89,90,91,92
                      Quiz

 

5-28          Memorial Day

5-29   13.2    Limits & Continuity       1,8,18,19,22,25,31,38,41,46,53,57,60,63,64,65,66
                     Quiz

5-30   13.3   Partial Derivatives           1,8,15,29,36,37,46,51,62,74,81,86,99,103,104,105,106
                    Quiz

5-31   13.4   Differentials                     1,8,15,20,25,31,34,38,40
                    Quiz

 

6-4   13.5   Chain Rules                     1,8,11,16,23,30,35,40,45,51,56,59,63
                   Quiz

6-5   13.6 Gradient Vector              1,10,15,20,24,30,37,44,59,71,77,78,79,80
                Quiz

6-6   13.7   Tangent Planes                 1,8,17,27,33,43,50,55,60,SP
                  Quiz

6-7   13.8   Extrema                            1,8,15,20,25,32,43,46,53,60,63,64
                  Quiz

 

6-11   13.9   Apps of Extrema               1,8,15,21,36,46,SP  
                    Quiz

6-12   13.10  Lagrange Mult.               1,8,15,20,27,34,37,40       
                    Quiz

6-13        Review

6-14       Exam III

 

6-18      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.