The Envelope Please …

The student body has spoken.  The winner of the Grateful Dead Scientists: Battle of The Minds is the team of Euler for the course Modern Notation in Mathematics (ppt) designed by duncanis.  This course had an enrollment of 3.

The runners up along with their enrollment is as follows:

 MAT&PHY 153,  2 students.
 Dead Teachers ??? Say What, Professor Gausss … 1 student
 New Course on Sir Isaac Newton 1 student

The course designers will be receiving the home edition of our Grateful Dead Scientists: Battle of the Minds game.

Congratulations to all the contestants, both living and dead. 

Dr. Glass

Dream for The Best Success: Enlightenment, Tragedy and Success

Sonia A Montiel

Student atNassau
Community College

Multivariable Calculus

29 March 2007

Dream for The Best Success: Enlightenment, Tragedy and Success

            I am Carl Friedrich Gauss; I was born in
Germany on the April 30, 1777.  I am a mathematician and a physicist.  I graduated fromGeorge-August
University.  I am known as the “prince of mathematics” (Wikipidea).  I have been extremely careful and precise in all my work. I am the person who always completes my proofs before I publish them. I was a very intelligent child.  At the age of three, I was able to correct my father in an arithmetical error.  At school, my teacher gave me a problem of summing the integers from 1 to 100 to keep us busy.  I recognized that if I sum up 1 + 100, it will be 101, 2 + 99, it will be 101, and so on.  The sum of the integers would be 5,050  (wikipidea).

            In college, I independently discovered important theorems such as “The number theory, analysis, differential geometry, geodesy, magnetism, astronomy, optics and electromagnetism.” (Judson Knight, “Science and Its Times: Understanding the Social Significance of Scientific Discovery”, 252-253).

             My father, Gebhard, was a laborer and merchant. My mother, Dorothea, was a servant woman. “I was the only son of uneducated lower-class parents” (Wikipidea).     My parents never recorded the date of my birth.  However, my mother remembered that it was eight days after the Catholic Feast of the Ascension in 1777—April 30. I earned my doctorate in 1801 from theUniversity of
Helmstedt, and two years later, I published my thesis called “Disquisitiones arithmeticae”. 

            I got married with Johanna Osthoff in 1805, but a big tragedy struck me in 1810, when she died and my third child died soon after his birth. (Wikipidea).   I fell into a depression from which I could not recover from. Years later, I got married with Friederica Waldeck.  I had three children, and unfortunately she died from tuberculosis (Judson Knight, “Science and Its Times: Understanding the Social Significance of Scientific Discovery”, 252-253).

            I never wanted any of my sons to be a mathematicians or scientists for “fear of sullying the family name” (wikipidea).  I published a number of journals, including the journal of the Royal Society of Göttingen. When I was 19, I demonstrated a method for constructing a heptadecagon using a straightedge and a compass.  I explained that a regular polygon of “n” sides can be constructed using a compass and straightedge.  “Only if “n” is of the form 2p (2q+1)(2r+1) … , where 2q + 1, 2r + 1, … are prime numbers” (Paula, Byers. “Encyclopedia of World Biography”, 240-242). This was a major discovery in the field of mathematics.       

            In 1801, when I was 23, I heard about Piazzi’s work and his discovery of the asteroid Ceres. After three months of intense work, I calculated its orbit and successfully was able to discover the precise location of this asteroid for the following year for which I wrote the “Theoria motus corporum celestium.” This explained the “motion of planetoids disturbed by large planets” collected from the asteroid’s data. ( Paula, Byers. “Encyclopedia of World Biography”, 240-242).

            Someone asked me how I predicted the trajectory of Ceres with such accuracy, and I said, “I used logarithms…Who needs to look… tables?….I calculate them in my head!”  When I was 24, I published my first work called “Disquisitiones Arithmeticae,” showing how “complex numbers could be represented on an (x, y) plane” (G.H. Miller “Non-Euclidean Geometry.” Gale Encyclopedia of Science. , 2785-2787).

            In this book you can find the first proof of the law of quadratic reciprocity. I was the first who “approach the infinite series, 1 + ab/c x + a (a + 1) b (b + 1)/c(c + 1) x2/2!..” in which I established the conditions for the convergence of this series (Moore, Shirley. “Gauss-Seidel Method.”, Math World).  I became the first to prove the quadratic reciprocity law.  This remarkable law determined the solvability of any quadratic equation. I also proved the “fundamental theorem of algebra,” which states that every polynomial has a root of the form a+bi and that any polynomial equation has solutions.  Every natural number can be represented as the product of primes in only one way.      

            A complex number contains two parts; a real part and an imaginary part. Real numbers are positive numbers, negative numbers, and zero. For example, “5 + 3i is a complex number; 5 is the real part, and 3i is the imaginary part” (Byers Paula, Encyclopedia of World Biography, p240-242. 23). A polynomial equation with complex coefficients has at least one complex solution.  A polynomial equation of degree less than five can be solved by addition, subtraction, multiplication, and division. (Stacey R. Murray,”Science and Its Times: Understanding the Social Significance of Scientific Discovery”, 208-210).

            I was interested in electric and magnetic phenomena and in 1830, I was involved in a research in collaboration with Wilhelm Weber. We invented the electromagnetic telegraph in which I made studies of “terrestrial magnetism and electromagnetic theory”.  I found the representation of magnetism in terms of mass, length, and time in electricity. This invention helped me to be “connected with the observatory and institute for physics in Göttingen” (Wikipidea). And finally, one of my last works in mathematics and physics was the contribution to potential theory and the development of the principle of conservation of energy. All my life I struggled to be the best proving that hard work and overcoming obstacles, are the key to success.

                                                            

References 

            Black, Noel and Moore, Shirley. “Gauss-Seidel Method.” From Math World–A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/ArithmeticSeries.html.

            Carl Friedrich Gauss.  Wikipidea. 02:05, 4 April 2007.Wikimedia foundation, Inc. http://en.wikipedia.org/wiki/Carl_Friedrich_Gauss.

            Karl Friedrich Gauss, Encyclopedia of World Biography. Ed. Paula, Byers. Vol. 6. 2nd Ed. 
Detroit: Gale, 1998. p240-242. 23 vols.

            Carl Friedrich Gauss. Sherry Chasin Calvo. Science and Its Times: Understanding the Social Significance of Scientific Discovery. Eds. Josh Lauer and Neil Schlager. Vol. 5: 1800 To 1899.
Detroit: Gale, 2000. p251-253. 8 vols.  

             Non-Euclidean Geometry. G.H. Miller. Gale Encyclopedia of Science. Eds. K. Lee Lerner and Brenda Lerner. Vol. 4. 3rd ed.
Detroit: Gale, 2004. p2785-2787. 6 vols.

             Carl Friedrich Gauss. Judson Knight.  Science and Its Times: Understanding the Social Significance of Scientific Discovery. Eds. Josh Lauer and Neil Schlager. Vol. 4: 1700 To 1799.
Detroit: Gale, 2000. p252-253. 8 vols.

            Solving Quintic Equations. Stacey  R. Murray. Science and Its Times: Understanding the Social Significance of Scientific Discovery. Eds. Josh Lauer and Neil Schlager. Vol. 5: 1800 To 1899.
Detroit: Gale, 2000. p208-210. 8 vols.

HOW THE WORLD WORKS,

SONIA A. MONTIELMATH 225 PART 2      

HOW THE WORLD WORKS, presented by Isaac Newton.Sponsored byCoca Cola – Enjoy and learn every step of the way.Dunkin Doughnuts –
America runs on dunkin doughnuts.Barnes and Nobles – Need to know more?Italian Ices – Refresh a little    
 

 

Nassau
Community college is glad to inform you that during the summer 2007 session II. Isaac Newton will be on our campus teaching an exciting class called “Laws of nature “. For those students who want to take advantage of this course and gain knowledge from Isaac Newton you have to hurry up! We have a limit of 200 people. The course will include 10 Labs and 10 extensive lectures. This program will be fun and full of activities. Students will not only sit and take notes but they will get up from their seats and learn thorough experiments and activities. Isaac Newton promised the students he will teach a class where notes are not necessary. All of
Newton’s work will be analyzed step by step. All you will need for this class is a lab book which will be provided by Isaac Newton on the first day of class 

The good news, and why you must hurry and register, is that this course will replace    PHY 101               PHY 102               PHY 152               PHY 122          Don’t hesitate and tell you best friend to sign up. This class will be lots of fun! Class starts on June 7^th and will end on July 24. Class runs Monday thought Thursday from 10:00 a.m. until 5:30 p.m. 

TOPICS COVERED  

Newton‘s laws of motion 

·       three physical laws·       the statements of laws·       relationships between the forces acting on a body and their motion·       An object in motion will remain in motion unless acted upon by a net force.·       Force equals mass multiplied by acceleration.·       To every action there is an equal and opposite reaction.Universal Gravitation·       The force is proportional to the product of the two masses·       Acceleration due to gravity·       The force attracting a mass to the earthBinomial Theorem    ·       triangular arrangement of the binomial coefficients·       the binomial coefficients·       important formulas giving the expansion of powers of sums. 

          For those students who would like to learn more before class starts, here is a brief description of this course.  
Newton‘s laws of motion : A full description of the physical laws , understading the relationships between forces. Understanding the first, second, and third laws of motion. The second law will explain how  “no external force acts on a particle”. This course will include a step by step summary of Isaac
Newton named “ Principia Mathematica”. This summary will show how classical mechanics can help us to understand motion. Students will understand how  the rate of change is proportional to the net force.
Newton will cover the third law and students will enjoy understanding how simultaneous forces have the same magnitude in opposite directions.  Universal Gravitation: 
Newton will explain how masses are attracted by forces in which the force will be proportional to the product of the mases.  Isaac will teach how his formula  works and what every letter means . Students will learn how the SI units are important for understanding the nature of sicences. For instance G is approximately  6.67 × 10⁻¹¹ N m² kg^−2,  
Newton will explain the formula which represents the force attracting a mass to the earth.  

In the classroom students will understand the binomial theorem is an  important formula. Students will find the simplests equation by expanding the powers of sums. The binomial theorem is: 

 

This course promises to be a great way to escape psych. and learn from a true master or mathematics. All students are encouraged to attend. Don’t wait until the last minute register today!  

 

https://glassrcalc3.wordpress.com/2007/04/17/sir-isaac-newton-pt1/ 

https://glassrcalc3.wordpress.com/2007/04/12/isaac-newton/ 

 

MAT 225 Take Home

The take home portion of the final exam can be found here: MAT 225 Take Home Portion of Final .  It is due Tuesday, 5/15/07

Dr. Glass

MAT&PHY 153

Our school is pleased to announce that a new science course will be offered:

Course: The calculus approach to physics MAT&PHY 153

General description: The course will cover a wide range of topics mostly in the field of Mathematics and Physics and is designed to provide a general overview of fundamental concepts in those subjects. Most of the topics covered will be developed analytically as well as experimentally.

Instructor: Sir Isaac Newton

Duration: 2 semesters

Topics covered:

• Analytical geometry

• Newton’s laws of motion

• Mechanics and gravitation

• Calculus

• Optics

Textbooks:

• “Arithmetica Universalis“ 1707 by Sir Isaac Newton

• “Opticks” 1704 by Sir Isaac Newton

• “Philosophiae Naturalis Principia Mathematica” 1687 by Sir Isaac Newton

* Certain laboratory equipment must be provided by the student (Please bring an apple on the first day of class)

Works Cited:

“Newton My Main Man” 03 May 2007, https://glassrcalc3.wordpress.com/2007/03/26/newton-my-main-man/

“Isaac Newton” 03 May 2007, https://glassrcalc3.wordpress.com/2007/04/12/isaac-newton/

“Newton The Scientist.” 03 May 2007,  https://glassrcalc3.wordpress.com/2007/04/12/newton-the-scientist/

Dead Teachers ??? Say What, Professor Gausss …

Johann Carl Friedrich Gauss is a brilliant scientists, I am glad to hear that he is teaching in the fall 2007  semester. It was a great idea for the chairmans of the  Physics and Math departments  to assign Professor Gauss to teach Physics 222 (Electricity & Magnetism) and Math 109 (Algebra & Trig). The rumor around campus is that all his classes are filled up already and registration has only been open for a day.

Professor Gauss is well noted for his law, which is known as Gauss Law. Also, his work involved the  Fundamental Theory of Algebra.  He said, ” My work involved the Fundamental Theory of Algebra. I proved that any polynomial equations has solutions. From there I introduced the concept of composite numbers, real numbers expressed as a function of complex numbers.”(Johann Carl Friedrich Gauss) Gauss is not only noticed for his mathematician skills, but is also a genius in physics. He said, “In magnetism I found that “the net flux through a surface, regardless of its shape, equals a constant times the net charge inside the surface.” This result is know as “Gauss’ Law.” (Johann Carl Friedrich Gauss) These are the main works that Professor Gauss is well noticed for. This is the reason for the chairman of both departments to assign him to these classes. Now I know why all his classes are filled up already, who wouldn’t want to be taught by a genius.

https://glassrcalc3.wordpress.com/2007/03/26/johann-carl-friedrich-gauss/

Since I am Professor Gauss’s favorite student, he has selected me to write his course topics for his physics and math classes. For Physics, since we only have a limited number of classes, I have selected the following topics for Professor Gauss to teach.

1. Electric Fields

2. Attraction and Repulsion

3. Forces In Electric Fields

4. Conductance and Capacitors

5. Electric Potential

The topics to be taught for his Math 109 class are the following . . .

1. Basics Algebra

2. Functions and Graphs  

3.  Systems of Linear Equations

4. Introduction to Trigonometry

5. Exponential and Loagrithmic Functions

Works cited

“Carl Friedrich Gauss.” Wikipedia, The Free Encyclopedia. 26 Mar 2007, 18:00 UTC. Wikimedia Foundation, Inc. 27 Mar 2007

<http://en.wikipedia.org/w/index.php?title=Carl_Friedrich_Gauss&oldid=118049608>.

The discover of Johann Carl Friedrich Gauss

 

professor Johann Carl Friedrich Gauss

I decided to choose  Johann Carl Friedriech Gauss as my teacher because he was a great scientists who discover and did a lot of important thing in his lifetime. His work involved the fundamental theory algebra where he proved that any polynomial equation has solution. It help him to introduce the concept of composite numbers and real numbers expressed as a fhttps://glassrcalc3.wordpress.com/2007/05/01/physics/unction of complex numbers.

 In class Preofessor Friedrich Gauss will teach geometry because it was one of the subjets where he discovered.

1- How a regular polygon could be constructed using a compass and ruler.

2- Law that predicted the path of the asteroid Cers and palla.

 Showing the student how to cunstruct a regular polygon with a compass and ruler, helps them to think deeper and probaly to come with good ideas that can be imply to created  other figures. Some of those figures can be square,pentagon,  hexagon, heptagon and others. Also they will have to find a formula to find the are and the folume of of the figure.

 Professor Friedrich Gauss will involve the law that predicted the path of the asteroid and palla into the subject of the regular polygon and the other figure because the subject of the asteroid  ceres and pallas is applicable to other celestial bodies.

Citations:

http://en.wikipedia.org/wiki/Regular_polygon

 https://glassrcalc3.wordpress.com/2007/03/26/johann-carl-friedrich-gauss/

Lenhard Euler : Modern Notation in Mathematics (ppt)

Below is a link for ppt presentaion i created about Lenhard  Euler. Thought i would try something different.

When you click the link it’s going to open up in the another page. Click on the link right above leonhard-euler.ppt. When the file download appears, click ‘OPEN’, To move through the slideshow click the mouse!!!

Modern Notation in Mathematics

 Citations

I combined a little bit from these 3 blogs. Check ’em out. They were helpful!

https://glassrcalc3.wordpress.com/2007/04/12/leonhard-euler/

 https://glassrcalc3.wordpress.com/2007/04/08/50/

https://glassrcalc3.wordpress.com/2007/04/07/hi-my-name-is-lenhard-euler/

Physics

I have selected to enter the Prof. Isaac Newton’s  physics class. He is a brilliant mathematician whose investigation had an impact in the field of astronomy and physics.

In astronomy he found the law of gravitation which states that

“ Every single point mass attracts every other point mass by a force pointing along the line combining the two. The force is proportional to the product of the two masses and inversely proportional to the square of the distance between the point masses:

F= GmM/R^2

F is the magnitude of the gravitational force between the two point masses

G is the gravitational constant

m is the mass of the first point mass

M is the mass of the second point mass

R is the distance between the two point masses” (Wikipedia)

 

The law of gravitation and the three laws of motion combined with the mathematics Prof Isaac Newton developed today known as calculus, served to study statics and kinematics of particles.

The class should cover these topics:

-Force and equilibrium

– Mass and acceleration

-Differential, speed and acceleration

-Motion and frame of reference

-The Universal law of Gravitation

 

 

Works cited

“Newton’s law of universal gravitation.” Wikipedia, The Free Encyclopedia. 1 May 2007, 00:44 UTC. Wikimedia Foundation, Inc. 1 May 2007 <http://en.wikipedia.org/w/index.php?title=Newton%27s_law_of_universal_gravitation&oldid=127297485>.

Sir Isaac Newton Pt 1.

 

You Can’t Always Believe What You Read

While searching through the Gale Virtual Reference Library here at Nassau Community College, I ran across an article on Leonhard Euler, titled Science and Its Times: Understanding the Social Significance of Scientific Discovery. It’s written by Judson Knight and edited by Josh Lauer and Neil Schlager[1].

The two sentences in the second paragraph state:
 “Born in Basel, Switzerland, on April 17, 1707, the future mathematician was the son of Paul, a Calvinist pastor, and Marguerite Brucker Euler. Soon after his birth, the family moved to the town of Reichen, where his father had a parish. Paul wanted his son to follow him in the ministry; but the gifted boy’s tutors, the brothers Jakob (1654-1705) and Johann (1667-1748) Bernoulli, convinced him that God had called Leonhard to a different path, as evidenced by his demonstrated abilities.”

All looks fine and well except that it would be extremely difficult for Johann Bernoulli to be Euler’s tutor, because he died two years before Euler was born!

There are other facts stated in this article that are suspect. For example, Knight states that Euler was born on April 17, 1707. All of the other documents I researched show his date of birth as April 15, 1707. A simple Google search of April 15, 1707 turns up nothing for Euler, but the same search for April 17, 1707 turns up many hits for Euler’s birthday. The stated date of death is also in question in that it also doesn’t match the data stated by others.

I’m just a college sophomore doing research on dead mathematicians, so I am not qualified to draw any conclusions other than, be careful of the facts you find, even in esteemed college databases. Always cross reference your facts!
Source Citation: KNIGHT, JUDSON. “Leonhard Euler.” Science and Its Times: Understanding the Social Significance of Scientific Discovery. Eds. Josh Lauer and Neil Schlager. Vol. 4: 1700 To 1799. Detroit: Gale, 2000. 251-252. 8 vols. Gale Virtual Reference Library. Thomson Gale. Nassau Community College Library – SUNY. 9 Apr. 2007
<http://find.galegroup.com/gvrl/infomark.do?&contentSet=EBKS&type=retrieve&tabID=T001&prodId=GVRL&docId=CX3408501918&source=gale&userGroupName=sunynassau&version=1.0>.