The Straight Line Song

Hey there! Here's another video by TheNerdHerd004 on Youtube. The lyrics says y=mx+b, but here, we learn it as y=mx+c. Nobody's wrong, different countries teach it differently. A catchy song actually :) Enjoy!! It's not actually a whole 5 minute video, just about 3 minutes!

Arigato!

The Maths and Add Maths All-In-Two

If this isn't enough, go on and play the next one which is Add Maths related. The Add Maths one is a parody of Bruno Mars' The Lazy Song!

Thank you :)

Maths Jokes

1.

Q: What is the difference between a Ph.D. in mathematics and a large pizza?
A: A large pizza can feed a family of four...

2.
Q: What is the difference between a mathematician and a philosopher?
A: The mathematician only needs paper, pencil, and a trash bin for his work - the philosopher can do without the trash bin...

3.

Q: What do you get if you add two apples and three apples?
A: A high school math problem!

4.

Q: What does the zero say to the the eight?
A: Nice belt!

5.
Q: How does one insult a mathematician?
A: You say: "Your brain is smaller than any >0!"

6.

Q: What does a mathematician present to his fiancée when he wants to propose?
A: A polynomial ring!

7.

Q: Why do you rarely find mathematicians spending time at the beach?
A: Because they have sine and cosine to get a tan and don't need the sun!

8.

Q: Why do mathematicians, after a dinner at a Chinese restaurant, always insist on taking the leftovers home?
A: Because they know the Chinese remainder theorem!

9.
Q: What do you get if you divide the cirucmference of a jack-o-lantern by its diameter?
A: Pumpkin Pi! 

10.

Teacher: "Who can tell me what 7 times 6 is?"
Student: "It's 42!"
Teacher: "Very good! - And who can tell me what 6 times 7 is?"
Same student: "It's 24!"

Famous Mathematicians

Pythagoras

Pythagoras of Samos was a well-known mathematician, scientist and a religious teacher. He was born in Samos and is often hailed as the first great mathematician. Pythagoras is remembered today for his famous theorem in geometry, the 'Pythagoras Theorem'. His mentors were Thales, Pherekydes and Anaximander, who inspired him to pursue mathematics and astronomy. Pythagoras also made important discoveries in music, astronomy and medicine. He accepted priesthood and performed the rites that were required in order to enter one of the temples in Egypt, known as Diospolis. He set up a brotherhood with some of his followers, who practiced his way of life and pursued his religious ideologies. He became one of the most distinguished teachers of religion in ancient Greece.

John Napier

David Hume's personification of the title "a great man" more than aptly describes the prominence and distinction of John Napier. A distinguished Scottish mathematician and theological writer, John Napier is famously credited as the man who originated the concept of logarithm. With his innovative discoveries and research, Napier created a storm in the field of mathematical calculations. While his concept of logarithms gained most limelight, Napier's other contributions in the field of spherical trigonometry, the invention of the divining rods and pressing forward the use of decimal fraction are second to none. It was due to his ground-breaking inventions that Napier earned the respect of some of the most illustrious astronomers and scientists of the age. 

Karl Weierstrass

Karl Theodor Wilhelm Weierstrass, who is known as the Father of modern analysis, was a great German mathematician. With is mathematical researches and amazing talents, Weierstrass bagged wide recognition all over the world. His contributions in the field of Albelian functions are considered to be the finest among his achievements. Weierstrass is regarded as one among the first mathematicians to take up a systematic approach towards the representation of the function by a power series. He was a very influential person and an excellent teacher that he has inspired many young minds. Weierstrass, along with Augustin Cauchy, stated the modern analysis theory, which was a great achievement in his career. He also gave the first detailed definitions of the fundamental concepts such as differentiability, limit, continuity and convergence. The publication of a paper providing the solution of inversion of hyper elliptic integrals in the year 1854 was considered to be the break through work in his career.

Chapter 1- Standard Form

Form 4 Mathematics Chapter 1

Chapter 1 : Standard Form1.1

 Significant Figure

What are significant figure? Significant figures are used to denote an exact value of numbers to a certain specific degree of accuracy . For example : 289 = 300 ( correct to 1 significant figure)

Rules in rounding off a positive number to a given number of significant figures

(i)In a positive number, the non-zero digits are significant figures

For example

, 13.5 [ 3 significant figures]2756 [ 4 significant figures]

(ii)If there are zero in between the non-zero digits, it is considered as significant figures too

For example

, 105 [ 3 significant figures]200.8 [ 4 significant figures]

(iii) If a zero comes after a non zero digit in a decimal, it is considered as significant figures also since it indicates the degree of accuracy where the measurement is taken.

For example

 0.30 [ 2 significant figures]200.0 [ 4 significant figures]

(iv) If a zeros are before a non-zero digit in a decimal which is less than 1, it is not considered as significant figures!

For example

 0.0045 [ 2 significant figures]0.006005 [ 4 significant figures]

(v) For the final case, if there are zeros after a non-zero digit for a whole number, it may or may not be significant figures as it depends on the degree of accuracy required

For example

 600 [ 1 significant figure if the degree of accuracy needed is to nearest hundred]600 [ 2 significant figures if the degree of accuracy needed is to nearest ten ]600 [ 3 significant figures if the degree of accuracy is to nearest whole number]

Performing operations of addition, subtraction , multiplication and division for numbers and state the answer in the given specific significant figures

Example 1

Solve 56.4 – 6.78 + 23.45 and correct the answer to 2 significant figures.Tips : Calculate this by using a calculator and then round off the answer to 2 significant figures Answer : 73.07 ( from calculator)= 73 (correct to 2 significant figures)

1.2

Standard Form

Standard form is used to express a very large or very small numbers in the form of A x 10n

Where A is greater of equal to 1 but less than 10. For instance, 1<A < 10 and n is an integer. Lets look at one example.How can you express 450000000 in standard form? Very easy! Just look at the number. Observe that the number is a product of 4.5 with 10^8. So the standard form of 450000000 is 4.5 x 10^8

How to convert A x 10

n

to a single number ?Follow these two rules !

Ø If the index n of the power 10 is positive, moves the decimal point in A n places to the right

Ø If the index n of the power 10 is negative, moves the decimal point in A n places to the left

            WHY DO WE EVEN LEARN MATHEMATICS?

Maths is very important in our daily life.In every day life, we use maths for such simple tasks as telling the time from a clock or counting our change after making a purchase. We also use maths for more difficult tasks, such as, making up a household budget.Everyday life would be quite difficult if you had no knowledge of maths whatsoever. On a basic level you need to able to count your money, multiply, subtract and divide. You need a knowledge of maths if you want to do some DIY at home, to work out how much material to buy for a job. More advanced mathematics is essential if you take up any kind of technical career such as engineering. Working on algebra and geometry also helps with reasoning skills and assists later in life with technical problem solving. Living your day to day life without maths would be extremely difficult. Even if you were a nomad in the desert you would want to count your goats wouldn't.
Here are some examples:

• When we go shopping, we use math to count our money, see if we can afford something, and see how much change we'll get.
•  At sports games, we use math to figure out how many more points to win and how many points we're ahead. 
• In the kitchen,we need maths to measure how much ingredients we need. Sometimes we need to double the recipe or half the recipe. That requires multiplication and division. When we make food for other people, we need to know how many people there are to make enough for everyone. We also use math to set the table.
• Planting requires math too. We need to know how many seeds I need. Also we need to know how many holes to dig. We use math in many ways! It is very important!

But the most important use of mathematics in our technologies can not be contradicted. Our most of the system base on computers and all the computer technology are stands on mathematical rules. All computers work on binary code, code of zero and one.
So we cannot deny the importance of mathematics in real life.

Carl Friedrich Gauss

Johann Carl Friedrich Gauss  Latin Carolus Fridericus Gauss) (30 April 1777 – 23 February 1855) was a German mathematician and physical scientist who contributed significantly to many fields, including number theory, algebra,statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy and optics.

Sometimes referred to as the Princeps mathematicorum^] (Latin, "the Prince of Mathematicians" or "the foremost of mathematicians") and "greatest mathematician since antiquity", Gauss had a remarkable influence in many fields of mathematics and science and is ranked as one of history's most influential mathematicians. He referred to mathematics as "the queen of sciences".

Archimedes

Archimedes of Syracus was a Greek mathematician, physicist, engineer, inventor, and astronomer.Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Among his advances in physics are the foundations of hydrostatics, statics and an explanation of the principle of the lever. He is credited with designing innovative machines, including siege engines and the screw pump that bears his name. Modern experiments have tested claims that Archimedes designed machines capable of lifting attacking ships out of the water and setting ships on fire using an array of mirrors.

Archimedes is generally considered to be the greatest mathematician of antiquity and one of the greatest of all time. He used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series, and gave a remarkably accurate approximation ofpi. He also defined the spiral bearing his name, formulae for the volumes of surfaces of revolution and an ingenious system for expressing very large numbers.

Archimedes died during the Siege of Syracuse when he was killed by a Roman soldier despite orders that he should not be harmed. Cicero describes visiting the tomb of Archimedes, which was surmounted by a sphere inscribed within a cylinder. Archimedes had proven that the sphere has two thirds of the volume and surface area of the cylinder (including the bases of the latter), and regarded this as the greatest of his mathematical achievements.

Unlike his inventions, the mathematical writings of Archimedes were little known in antiquity. Mathematicians from Alexandria read and quoted him, but the first comprehensive compilation was not made until c. 530 AD by Isidore of Miletus, while commentaries on the works of Archimedes written by Eutocius in the sixth century AD opened them to wider readership for the first time. The relatively few copies of Archimedes' written work that survived through the Middle Ages were an influential source of ideas for scientists during the Renaissance while the discovery in 1906 of previously unknown works by Archimedes in the Archimedes Palimpsest has provided new insights into how he obtained mathematical results.

Leonhard Euler

Leonhard Euler was a pioneering Swiss mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function.He is also renowned for his work in mechanics, fluid dynamics, optics, and astronomy. Euler spent most of his adult life in St. Petersburg, Russia, and in Berlin, Prussia. He is considered to be the preeminent mathematician of the 18th century, and one of the greatest mathematicians to have ever lived. He is also one of the most prolific mathematicians ever; his collected works fill 60–80 quarto volumes. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all."

Emmy Noether

Amalie Emmy Noether (German: [ˈnøːtɐ]; 23 March 1882 – 14 April 1935), sometimes referred to as Emily or Emmy, was an influential Germanmathematician known for her groundbreaking contributions to abstract algebra and theoretical physics. Described by Pavel Alexandrov, Albert Einstein, Jean Dieudonné, Hermann Weyl, Norbert Wiener and others as the most important woman in the history of mathematics, she revolutionized the theories of rings, fields, and algebras. In physics, Noether's theorem explains the fundamental connection between symmetry andconservation laws.

She was born to a Jewish family in the Bavarian town of Erlangen; her father was mathematician Max Noether. Emmy originally planned to teach French and English after passing the required examinations, but instead studied mathematics at the University of Erlangen, where her father lectured. After completing her dissertation in 1907 under the supervision of Paul Gordan, she worked at the Mathematical Institute of Erlangen without pay for seven years (at the time women were largely excluded from academic positions). In 1915, she was invited by David Hilbert and Felix Klein to join the mathematics department at the University of Göttingen, a world-renowned center of mathematical research. The philosophical faculty objected, however, and she spent four years lecturing under Hilbert's name. Her habilitation was approved in 1919, allowing her to obtain the rank ofPrivatdozent.

Noether remained a leading member of the Göttingen mathematics department until 1933; her students were sometimes called the "Noether boys". In 1924, Dutch mathematician B. L. van der Waerden joined her circle and soon became the leading expositor of Noether's ideas: her work was the foundation for the second volume of his influential 1931 textbook, Moderne Algebra. By the time of her plenary address at the 1932 International Congress of Mathematicians in Zürich, her algebraic acumen was recognized around the world. The following year, Germany's Nazi government dismissed Jews from university positions, and Noether moved to the United States to take up a position at Bryn Mawr College in Pennsylvania. In 1935 she underwent surgery for an ovarian cyst and, despite signs of a recovery, died four days later at the age of 53.

Noether's mathematical work has been divided into three "epochs". In the first (1908–19), she made significant contributions to the theories ofalgebraic invariants and number fields. Her work on differential invariants in the calculus of variations, Noether's theorem, has been called "one of the most important mathematical theorems ever proved in guiding the development of modern physics".In the second epoch (1920–26), she began work that "changed the face of [abstract] algebra". In her classic paper Idealtheorie in Ringbereichen (Theory of Ideals in Ring Domains, 1921) Noether developed the theory of ideals in commutative rings into a powerful tool with wide-ranging applications. She made elegant use of theascending chain condition, and objects satisfying it are named Noetherian in her honor. In the third epoch (1927–35), she published major works onnoncommutative algebras and hypercomplex numbers and united the representation theory of groups with the theory of modules and ideals. In addition to her own publications, Noether was generous with her ideas and is credited with several lines of research published by other mathematicians, even in fields far removed from her main work, such as algebraic topology.