MATH 107

CALCULUS and ANALYTIC GEOMETRY

Monday,  Wednesday, and Friday 9:15 to 10:55 AM

Room E 106    5 UNITS

Instructor Larry Green

Phone Number

Office: 541-4660 Extension 341

Internet e-mail:  DrLarryGreen@gmail.com

Lecture notes:  http://www.ltcconline.net/greenl/courses/107/107.htm

Calculus Videos

Applet for Multivariate Calculus

Flash Mathlets  (Create your own graphs in 3D)     

Mathlets (3D examples and animations)

3D Plotter for Calculus

 

Required Text Calculus 10th edition by Larson and Edwards

Course description The topics covered in this course include Taylor Polynomials, Series, Polar  Coordinates, Vectors and Differentiation of Multivariate Functions.

Student Learning Outcomes

  1. Test series for convergence.
  2. Relate analytic functions to their power series.
  3. Apply calculus to functions of several variables.
  4. Model real life applications using three-dimensional constructs.
  5. Perform arithmetic on vectors using both component and geometric forms.

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: May 2.........................…......….....150 points
Exam II: May 23.....................................…150 points
Poster Session: Date TBA    ........................150 points
Exam III: Jun 20.........................…………150 points
Final Exam June 25...............................….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 receive a score of 5 or less, then the regular exam with the lowest score will be dropped.

Homework Policy Homework is to be turned in by 4:00 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 short quiz will be given. Each quiz will count as 20% of the homework assignment and cannot be made up unless there is a medical excuse.  Points for quizzes will only be awarded if the accompanying homework assignment is turned in on time.

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 must work on the project with at least one partner.  It will be due on Tuesday, June 8 from 12:00 to 1:30 PM.  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 Math Success Center (A 201).

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.



OFFICE HOURS:

Monday  ............................  12:40 to 1:40           MSC

Tuesday...........................      9:00 to 10:00         A 210

Wednesday ....................      12:40 to 1:40         A210

Thursday........................       12:00 to 1:00         A210

Friday........................           12:40 to 1:40          A210



CALCULATORS: The Texas Instruments 89 calculator or TI nSpire CAS 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.

Due Date   Section   Topic          Exercises

4-7   Introductions

4-9      9.1    Sequences    1,11,15,20,25,27,31,36,45,52,60,69,76,79,80,81,82,83
                    Quiz

4-11      9.2     Series     1,7,10,16,18,23,28,31,40,51,65,68,75,80.89,91,92,93,94,95,96,SP
                     Quiz

 

4-14      9.3      Integral & P Test  1,6,11,16,21,26,30,37,45,51,61,67,70,SP
                       
Quiz

4-16     9.4    Comparison Test    3,8,13,16,21,26,37,47,49,50,51,52,53,54,SP
                     Quiz 

4-18     9.5     Alternating Series  1,6,11,16,21,28,31,36,41,46,49,51,59,61,62,68
                        Quiz

 

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

4-23    9.7      Taylor Polys          1,6,13,16,20,25,41,46,51,56,65,68
                          Quiz

4-25   9.8     Power Series          1,6,11,16,21,26,31,36,41,46,55,56,64,69,73,74,75,76
                     Quiz

 

4-28    9.9    Functions & Series    1,4,7,10,13,16,19,22,25,36,39,42,47,52,59
                    Quiz      

4-30   9.10   Taylor Series            1,5,11,16,21,26,31,36,41,46,48,53,57,62,65,71,73
                    Quiz

5-2       Exam I

 

5-5      10.1     Conics                     6,13,42,49,65,70,81,92,93,96
                      Quiz

5-7      10.2     Parametric Equs.      1,11,20,31,40,47,69,70,71,72,79,SP
                      Quiz

5-9      10.3     Parametric Calc.       1,11,18,21,26,35,42,46,51,62,69,77,89,97,98
                        Quiz

 

5-12    10.4     Polar Curves             1,12,26,33,40,49,60,76,83,111,112,113,114,SP
                       Quiz
          

5-14   10.5     Polar Area                1,6,11,16,19,26,31,41,46,56,65,72,74,80,83,84,85
                      Quiz

5-16   11.1    Plane Vectors           1,12,21,30,37,46,49,56,68,84,85,86,87,88,89,90
           11.2   Space Vectors          1,11,18,28,35,42,47,56,68,73,85
                     Quiz

 

5-19     11.3    Dot Product              1,15,22,27,30,39,49,56,61,65,66
            11.4   Cross Product            1,8,15,27,31,36,41,47,48,53,55,57
                    Quiz

5-21      11.5   Lines & Planes            1,8,11,18,29,33,44,53,58,65,73,88,93,109,110,111,112,113,114,SP
                    Quiz

5-23     Exam II

 

5-26      Memorial Day Holiday

5-28     11.6   Surfaces                      1,12,17,22,24,31,45,46
             11.7   Cyl/Spher. Coords.  3,10,19,24,31,38,47,51,57,69,72,80,89,98,105,106,107,108
                      Quiz    An Interactive Gallery

5-30     13.1    Multivar. Functions       1,8,17,29,34,43,55,57,69,75,78,83,87,88,89,90
                       Quiz

 

6-2      13.2    Limits & Continuity       1,8,18,19,22,25,31,38,41,46,53,57,60,69,70,71,72
                       Quiz

6-4       13.3   Partial Derivatives           1,8,15,29,37,46,51,62,74,78,86,95,100,117,121,122,123,124,SP
            13.4   Differentials                     8,15,20,25,30,34,37,40
                      Quiz

6-6       13.5   Chain Rules                     1,8,11,14,17,21,26,30,35,40,45,53,55
                      Quiz

 

6-9       13.6 Gradient Vector              1,5,10,15,20,25,30,37,44,49,53,68,69,70,71,72
                     Quiz

6-11       13.7   Tangent Planes                 1,8,17,27,33,43,48,50,60,SP
                      Quiz

6-13     13.8   Extrema                            1,8,15,22,25,32,43,46,53,55,56,57,58
                      Quiz

 

6-16       13.9   Apps of Extrema               2,7,14,17,37,40,SP  
                    Quiz

6-18       13.10  Lagrange Mult.               1,10,15,20,27,37,45,49       
                    Quiz

6-20       Exam III

 

6-25      Comprehensive Final Exam 10:00 AM - 11:50 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.